Academic literature on the topic 'High angle diffraction theory'

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Journal articles on the topic "High angle diffraction theory"

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Amali, Adam, and Peter Rez. "Theory of Lattice Resolution in High-angle Annular Dark-field Images." Microscopy and Microanalysis 3, no. 1 (January 1997): 28–46. http://dx.doi.org/10.1017/s1431927697970021.

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Abstract: The theoretical interpretation of lattice resolution in high-angle annular dark-field images produced in a scanning transmission electron microscope (STEM) has been a subject of controversy. A first-order perturbation theoretical analysis is presented here, which shows that the contrast in the image arises from large-angle multiphonon, incoherent scattering, which is atomic number dependent. The lattice resolution is a consequence of coherently filling the objective aperture, and dynamical elastic diffraction preceding the large-angle multiphonon scattering is not a necessary requirement. Elastic scattering to the higher order Laue zone (HOLZ) is also shown to be negligible, compared with the incoherent scattering. Calculations from application of the theory are also presented. They show that lattice images formed using the high-angle annular dark-field detector are sensitive to atomic number and are relatively insensitive to defocus. Although high-angle annular dark-field lattice imaging appears to be simple, scattering into the high-angle detector can only be approximately described by an incoherent imaging model.
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Zhang, Shan Wen, and Jian Xin Ying. "Optimization of the Two Parameters of Classical Blaze Grating in Littrow Mount." Advanced Materials Research 535-537 (June 2012): 1332–36. http://dx.doi.org/10.4028/www.scientific.net/amr.535-537.1332.

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On the base of electromagnetic theory of gratings, we analyse the effects of both of two important parameters of classical blaze grating in Littrow mount to diffraction efficiency, and the two parameters are optimized for obtaining highest diffraction efficiency. It is presented that not only blaze angle but apex angle affect diffraction efficiency. The investigation has been performed on the design and fabrication of classical blaze grating which has high diffraction efficiency.
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Ahn, B. R., and N. J. Kim. "Calculation of many-beam dynamic electron diffraction without high-energy approximation." Proceedings, annual meeting, Electron Microscopy Society of America 54 (August 11, 1996): 128–29. http://dx.doi.org/10.1017/s0424820100163101.

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High energy approximation in dynamic theory of electron diffraction involves some intrinsic problems. First, the loss of theoretical strictness makes it difficult to comprehend the phenomena of electron diffraction. Secondly, it is difficult to believe that the approximation is reasonable especially in the following cases: 1) when accelerating voltage is not sufficiently high, 2) when the specimen is thick, 3) when the angle between the surface normal of the specimen and zone axis is large, and 4) when diffracted beam with large diffraction angle is included in the calculation. However, until now the method to calculate the many beam dynamic electron diffraction without the high energy approximation has not been proposed. For this reason, the authors propose a method to eliminate the high energy approximation in the calculation of many beam dynamic electron diffraction. In this method, a perfect crystal with flat surface was assumed. The method was applied to the calculation of [111] zone axis CBED patterns of Si.
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Podorov, S. G., N. N. Faleev, K. M. Pavlov, D. M. Paganin, S. A. Stepanov, and E. Förster. "A new approach to wide-angle dynamical X-ray diffraction by deformed crystals." Journal of Applied Crystallography 39, no. 5 (September 12, 2006): 652–55. http://dx.doi.org/10.1107/s0021889806025696.

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A new approach is proposed for X-ray dynamical diffraction theory in distorted crystals. The theory allows one to perform dynamical diffraction simulations between Bragg peaks for non-ideal crystals, using a simple approach of two distorted waves. It can be directly applied for reciprocal-space simulation. The formalism is used to analyse high-resolution X-ray diffraction data, obtained for an InSb/InGaSb/InSb/InAs superlattice grown on top of a GaSb buffer layer on a (001) GaSb substrate.
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Dragoi, Danut, and Alexandru Dragoi. "Modeling of energy-dispersive X-ray diffraction for high-symmetry crystal orientation." Acta Crystallographica Section A Foundations and Advances 75, no. 1 (January 1, 2019): 63–70. http://dx.doi.org/10.1107/s2053273318013864.

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The methods for X-ray crystal orientation are rapidly evolving towards versatility, fewer goniometry measurements, automation, high accuracy and precision. One method that attracts a lot of attention is energy-dispersive X-ray diffraction (EDXRD) which is based on detecting reflections from crystallographic planes in a crystal at fixed angles of a parallel polychromatic X-ray incident beam. In theory, an EDXRD peak can move in a diffraction pattern as a function of a crystallographic plane d-spacing and its orientation relative to a fixed direction in space can change also. This is equivalent to the possibility of measuring the orientation of single crystals. The article provides a modeling for the EDXRD method whose main feature is the nonmoving crystal in the sense of traditional goniometry where the angle measurements of diffracting planes are a must. The article defines the equation of orientation for the method and shows the derivation in great detail. It is shown that the exact solutions of the equations can be obtained using the generalized reduced gradient method, a mathematical subroutine that is implemented in Excel software. The significance and scientific impact of the work are discussed along with the validated tested results.
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Feng, Ke, Jin Song Li, and Ling Guo. "Simulation of Flat-Top Focus Shaping Using Effect of Polarization in High Numerical Apertures Optical Systems." Advanced Materials Research 571 (September 2012): 175–79. http://dx.doi.org/10.4028/www.scientific.net/amr.571.175.

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Flat-top focus shaping using effect of polarization is investigated theoretically by vector diffraction theory. We demonstrate how to make a properly selected polarization component to achieve a flat-top focus in high numerical apertures optical systems, hence achieving a potential goal of beam shaping. The results show that the values of the polarization angle corresponding to different numerical apertures (NA)values for a flat-top focus and the polarization angle increases on increasing NA for achieving a flat-top focal spot, but the flat-top focal pattern will become -sensitive when NA is larger than 1. One will have to add a diffractive optical element to achieve a flat-top focal spot in NA larger than 1 system.
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Le, Dac Tuyen, and Dinh Lam Vu. "High-Order Angle and Polarization Resolved Reflection of Artificial Opal Photonic Crystal." Communications in Physics 28, no. 3 (November 14, 2018): 247. http://dx.doi.org/10.15625/0868-3166/28/3/10580.

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We present angle resolved reflection measurements showing the polarization dependence of photonic band gap in artificial opal photonic crystals. The SiO2 opals were prepared using thermal-assisted cell method. The observation of well-defined diffraction pattern indicates the samples with high quality. The reflection measurements were analyzed in the high energy region up to a/l = 1.6. It is shown that the diffraction peaks depend on s- and p-polarized light illumination. The polarization anisotropy effect due to symmetric properties of opal structure. The experiment results agree fairly well with calculated photonic band structure and are also discussed with predictions based on group theory. Angular reflection has implications in polarized light scattering in plasmonic structures and metamaterials and is also useful in applications like nano scale polarization splitters and lasers.
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Toraya, H., and J. Yoshino. "A Polycrystalline Thin Film Diffractometer for Asymmetric Diffraction Using Parallel Beam and High Resolution Parallel Slits." Advances in X-ray Analysis 39 (1995): 165–70. http://dx.doi.org/10.1154/s0376030800022576.

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A polycrystalline thin film diffractometer for asymmetric diffraction at a fixed incident angle using parallel beam and high-resolution-parallel slits has been developed. Well collimated CuK α1 incident beam was obtained by coupling of a rotating anode generator with a channel-cut crystal monochromator. The diffracted beam was analyzed with parallel slits with 0.17° angular aperture. The observed profiles of CeO2 standard powder sample were analyzed by using an individual profile fitting technique. The minimum full-width at half-maximum (FWHM) was 0.15° in the 20 range of 40° ∼ 70°, and the variation of FWHM with 20 was almost independent of the incident angle. Intensity in asymmetric diffraction was enhanced compared to that in the symmetric 0-20 scan, and its variation was well in accordance with the theory. The use of the parallel slits compromizes the intensity and resolution for polycrystalline thin film diffraction in the present setup, but gives the high quality of diffraction data for structural study.
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Wang, Z. L. "Coupled thermal diffuse-atomic inner shell scattering in electron diffraction." Proceedings, annual meeting, Electron Microscopy Society of America 52 (1994): 994–95. http://dx.doi.org/10.1017/s042482010017270x.

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In electron diffraction patterns, diffuse scattering at high angles is primarily generated by phonon, or thermal diffuse, scattering (TDS). Techniques were introduced to acquire the electron energy-loss spectra (EELS) of high-angle thermal-diffuse-scattered electrons (TDS-EELS) in a transmission electron microscope (TEM). With regards to the scattering mechanism, the TDS-EELS core ionization edge intensity was believed to be generated primarily by TDS - single electron, double-inelastic electron scattering processes. It was concluded from experimental data that the signal from coupled phonon - atomic inner shell excitations is stronger than that from atomic inner shell excitation alone. A formal dynamical theory is presented in this paper to illustrate the theoretical basis of the experimental observations. The theory can be applied to calculate the diffraction patterns of inelastically double-scattered electrons and the signal intensity observed in TDS-EELS.TDS is actually a statistically averaged, quasi-elastic scattering of the electrons by the crystal lattice of different thermal vibration configurations.
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Muldarisnur, M., and F. Marlow. "Polarization angular-resolved transmission spectroscopy of opal films." Journal of Nonlinear Optical Physics & Materials 25, no. 02 (June 2016): 1650015. http://dx.doi.org/10.1142/s0218863516500156.

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In this paper, we investigated the angular behavior of light transmission through opal films over a broad range of wavelengths and angles. The opal films were prepared using the capillary deposition method (CDM). The observation of many well-defined diffraction peaks indicates that the CDM results in opal films with high quality. Peaks overlapping at normal incidence split when samples are rotated. The angular shift of these peaks was found to satisfy the kinematical diffraction theory very well. Furthermore, the variation of intensity with incident angle can be interpreted in terms of a simplified dynamical diffraction theory. Moreover, the presence of two differently oriented domains in CDM-made opal films is essential in discussing the measured spectra. These domains can be assigned to parallel microscopic stripes of ABC and ACB type fcc structures. Angular-resolved spectroscopy with polarized incident light shows interesting polarization dependence of light propagation inside opals.
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Dissertations / Theses on the topic "High angle diffraction theory"

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Jia, Baohua, and n/a. "A study on the complex evanescent focal region of a high numerical aperture objective and its applications." Swinburne University of Technology, 2006. http://adt.lib.swin.edu.au./public/adt-VSWT20070205.150740.

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In recent years, optical near-field has received an ever-increasing attention owing to its ability to localise optical signals beyond the diffraction limit. Optical near-field is a non-propagating field existing in the close vicinity of a matter within a range less than the wavelength of the illumination light and it carries the high spatial frequency information showing the fine details of the matter. An optical near-field can be generated by a near-field optical microscope with a nano-aperture or a metal-coated fibre tip. However, common difficulties associated with this approach, such as a fragile probe, a low throughput and signal-to-noise ratio, and a slow response of gap controlling between the probe and the sample, make it less applicable. Alternatively, optical near-field can be produced by total internal reflection (TIR) occurring at the interface of a prism, which is capable of localising the electromagnetic (EM) field in the close vicinity of the interface. However, in this geometry, no confinement of the field can be achieved in the transverse direction, whereas, in most applications such as optical trapping, micro-fabrication and optical data storage, a transverse confinement of the light field is essential. In order to achieve a transverse confinement of the light field, maintaining the high spatial resolution of the optical near-field, and at the same time eliminating the drawbacks associated with the conventional near-field optical microscope, a novel near-field probe based on a high numerical aperture (NA) TIR objective combined with annular illumination has been developed recently. In this arrangement, an obstruction disk is inserted at the back aperture of the objective to block the light with a convergence angle lower than the critical angle determined by the refractive indices of the two media, resulting in a pure focused evanescent field in the second medium. The evanescent field produced by this method provides a useful tool for studying light-matter interaction at the single molecule level not only because of its high resolution but also due to its inherent merits such as no distance regulation, no heating effect and simple experimental setup. But, the most significant advantage that makes this method unique and superior to the other approaches in terms of producing the optical near-field is that it allows the dynamic control of the focal field by simply modulating the phase or amplitude or even the polarisation state of the incident beam before it enters the objective so that complex illumination beams can be generated, whereas in other fibre probe based approaches this goal is extremely difficult to achieve. To make use of such a novel near-field probe, a thorough theoretical and experimental investigation is required. A complete knowledge of the focused evanescent field is a prerequisite for a wide range of applications including single molecule detection, Raman spectroscopy, near-field non-linear imaging and near-field trapping. Therefore, it is not only necessary but also urgent to exploit the focusing properties of a focused evanescent field under complex field illumination both experimentally and theoretically and this is the major aim of this thesis. The complex fields, which are of particular interest in this thesis, are the radially polarised beam and the Laguerre-Gaussian (LG) beam, because the former owns a more compact circularly symmetric field distribution in the focal region when focused by a high NA objective, while the latter is capable of rotating a trapped particle by transferring the orbital angular momentum. Combining them with the focused evanescent field is potentially able to induce novel functions in the near-field region, which cannot be fulfilled by other near-field approaches. In this thesis, in order to generate these two types of beams, a single liquid crystal spatial light modulator (LCSLM) is employed to produce useful phase modulation to the incident beam. Experimental characterisation of an evanescent focal spot is performed with scanning near-field optical microscopy (SNOM), which is capable of providing the direct mapping of the focused evanescent field not only because of its high spatial resolution and its ability to detect the near-field and far-field signals simultaneously, but also due to the motion of the piezzo-stage enables a three-dimensional characterisation of the evanescent focal spot. In this thesis, a SNOM system with an aluminum coated aperture probe is implemented. The field distributions at both the interface and parallel planes with a small distance away from the interface are obtained. To verify the applicability of SNOM as a characterisation methodology, the field distribution in the focal region of a high NA objective illuminated by a linearly polarised plane wave is measured first. A focus splitting along the direction of incident polarisation is observed threedimensionally near the interface under such a circumstance. It has been demonstrated that the depolarisation effect plays an important role in determining the coupling behaviour of the light into the fibre probe of SNOM. The good match between the experimental results and theoretical predications confirms the validity of SNOM. Theoretical investigation of a tightly focused radially polarised beam is undertaken based on the vectorial-Debye diffraction theory because under the tight focusing of a high NA objective, the vectorial nature of the highly localised field has to be carefully considered in order to represent the field distribution accurately. The calculations on the focusing properties of a radially polarised beam suggest that the longitudinal field component in the focal region plays a dominant role in determining the overall field distribution. Direct measurement of the focused evanescent radially polarised beam in a three-dimensional manner near the interface is performed with SNOM. A highly localised focal spot is achieved in the close vicinity of the coverglass. The measured intensity distributions from SNOM show that correction of the focal spot deformation associated with a linearly polarised beam is achieved by taking advantage of the radially symmetric focal spot of a radially polarised beam. A smaller focal spot is acquired due to the dominant longitudinal polarisation component in the focal region, which possesses a more compact focal intensity distribution than that of the overall field. The experimental results demonstrate a good agreement with the theoretical expectations. The fact that a radially polarised beam is capable of eliminating the focus deformation often presented in the focal region of a high NA objective when a linearly polarised beam is employed can be very useful in many applications, including microfabrication using two-photon photopolymerisation technique. The theoretical study on the two-photon point spread function (PSF) of a radially polarised beam indicates that the focus elongation and splitting associated with a linearly polarised beam are eliminated and the achievable lateral size of the focal spot is approximately a quarter of the illumination wavelength, which is less than half of that under the illumination of a linearly polarised beam. A further reductiont of the lateral size can be expected by using annular radial beam illumination. The investigation on the focusing properties of LG beams has also been one of the major tasks of this thesis. Theoretical investigations of a focused evanescent LG beam suggest that the phase shift induced by the boundary effect when a light beam passes the interface satisfying TIR condition plays a vital role in determining the overall shape of the total field distribution. A severe focal intensity deformation is predicted theoretically in the case of focused evanescent LG beam illumination, which might involve new physical phenomena when applied in the near-field trapping. Such a focal intensity deformation is evidenced experimentally by the direct mapping result obtained from the SNOM probe. A quantitative cross-section comparison with the theoretical predication is conducted, which demonstrates a good agreement. To achieve a controllable optical trap and rotation in the near-field region, complex optical fields such as LG beams carrying orbital angular momentum, have been induced for the manipulation of a polystyrene particle. The influence of the focal intensity deformation on a near-field trapping has been thoroughly investigated. Rotation motion of the particle is examined by mapping the two-dimensional (2D) transverse trapping efficiency of the particle. Theoretical investigation reveals that a significant tangential force component is generated on the particle when it is illuminated by a focused evanescent LG beam. Such findings may prove useful in introducing a rotation mechanism in near-field trapping. The research investigations and methodologies described in this thesis provide a new approach to characterise the near-field focal spot under complex field illumination. It enhances the understanding of the novel near-field probe, thus opening the pathway for numerous near-field applications including optical trapping, two-photon excitation (photopolymerisation) and spectroscopy. The focal field rotation phenomena demonstrated in this thesis may prove particularly beneficial in introducing a rotation mechanism in near-field trapping using a focused evanescent field.
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Al-Hayalee, Yaseen Ahmed. "Neutron high angle fibre diffraction of biological and synthetic polymers." Thesis, Keele University, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357084.

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James, Richard. "Applications of perturbation theory in high energy electron diffraction." Thesis, University of Bath, 1990. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235789.

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Fozard, John Andrew. "Diffraction and scattering of high frequency waves." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.433239.

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This thesis examines certain aspects of diffraction and scattering of high frequency waves, utilising and extending upon the Geometrical Theory of Diffraction (GTD). The first problem considered is that of scattering of electromagnetic plane waves by a perfectly conducting thin body, of aspect ratio O(k^1/2), where k is the dimensionless wavenumber. The edges of such a body have a radius of curvature which is comparable to the wavelength of the incident field, which lies inbetween the sharp and blunt cases traditionally treated by the GTD. The local problem of scattering by such an edge is that of a parabolic cylinder with the appropriate radius of curvature at the edge. The far field of the integral solution to this problem is examined using the method of steepest descents, extending the recent work of Tew [44]; in particular the behaviour of the field in the vicinity of the shadow boundaries is determined. These are fatter than those in the sharp or blunt cases, with a novel transition function. The second problem considered is that of scattering by thin shells of dielectric material. Under the assumption that the refractive index of the dielectric is large, approximate transition conditions for a layer of half a wavelength in thickness are formulated which account for the effects of curvature of the layer. Using these transition conditions the directivity of the fields scattered by a tightly curved tip region is determined, provided certain conditions are met by the tip curvature. In addition, creeping ray and whispering gallery modes outside such a curved layer are examined in the context of the GTD, and their initiation at a point of tangential incidence upon the layer is studied. The final problem considered concerns the scattering matrix of a closed convex body. A straightforward and explicit discussion of scattering theory is presented. Then the approximations of the GTD are used to find the first two terms in the asymptotic behaviour of the scattering phase, and the connection between the external scattering problem and the internal eigenvalue problem is discussed.
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Martin, Christopher M. "Studies of structural variation in synthetic organic polymers using X-ray fibre diffraction techniques at high temporal and spatial resolution." Thesis, Keele University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.327630.

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Kelly, Mark. "Examination of high energy electron diffraction in strained crystals using adiabatic iteration theory." Thesis, University of Bath, 1993. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.357436.

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Yellu, Augustine D. "A Uniform Geometrical Theory of Diffraction Model of Very-High-Frequency Omni-directional Range Systems for Improved Accuracy." Ohio University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1367519334.

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Zhang, Yi. "High performance DSP-based servo drive control for a limited-angle torque motor." Thesis, Loughborough University, 1997. https://dspace.lboro.ac.uk/2134/6768.

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This thesis describes the analysis, design and implementation of a high performance DSP-based servo drive for a limited-angle torque motor used in thermal imaging applications. A limited-angle torque motor is an electromagnetic actuator based on the Laws' relay principle, and in the present application the rotation required was from - 10° to + 10° in 16 ms, with a flyback period of 4 ms. To ensure good quality picture reproduction, an exceptionally high linearity of ±0.02 ° was necessary throughout the forward sweep. In addition, the drive voltage to the exciting winding of the motor should be less than the +35 V ceiling of the drive amplifier. A research survey shows that little literature was available, probably due to the commercial sensitivity of many of the applications for torque motors. A detailed mathematical model of the motor drive, including high-order linear dynamics and the significant nonlinear characteristics, was developed to provide an insight into the overall system behaviour. The proposed control scheme uses a multicompensator, multi-loop linear controller, to reshape substantially the motor response characteristic, with a non-linear adaptive gain-scheduled controller to compensate effectively for the nonlinear variations of the motor parameters. The scheme demonstrates that a demanding nonlinear control system may be conveniently analysed and synthesised using frequency-domain methods, and that the design techniques may be reliably applied to similar electro-mechanical systems required to track a repetitive waveform. A prototype drive system was designed, constructed and tested during the course of the research. The drive system comprises a DSP-based digital controller, a linear power amplifier and the feedback signal conditioning circuit necessary for the closed-loop control. A switch-mode amplifier was also built, evaluated and compared with the linear amplifier. It was shown that the overall performance of the linear amplifier was superior to that of the switch-mode amplifier for the present application. The control software was developed using the structured programming method, with the continuous controller converted to digital form using the bilinear transform. The 6- operator was used rather than the z-operator, since it is more advantageous for high speed sampling systems. The gain-scheduled control was implemented by developing a schedule table, which is controlled by the DSP program to update continuously the controller parameters in synchronism with the periodic scanning of the motor. The experimental results show excellent agreement with the simulated results, with linearity of ±0.05 ° achieved throughout the forward sweep. Although this did not quite meet the very demanding specifications due to the limitations of the experimental drive system, it clearly demonstrates the effectiveness of the proposed control scheme. The discrepancies between simulated and experimental results are analyzed and discussed, the control design method is reviewed, and detailed suggestions are presented for further work which may improve the drive performance.
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Baji, Avinash. "Development of High Toughness Bioactive Composites Using Electrospinning Techniques." University of Akron / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=akron1222895930.

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Kiałka, Filip [Verfasser], and Klaus [Akademischer Betreuer] Hornberger. "Talbot-Lau Schemes and Bragg Diffraction : Theory and Applications in High-Mass Matter-Wave Interferometry / Filip Kiałka ; Betreuer: Klaus Hornberger." Duisburg, 2021. http://d-nb.info/1239048769/34.

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Books on the topic "High angle diffraction theory"

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Moon, Young J. Numerical simulation by TVD schemes of complex shock reflections from airfoils at high angle of attack. New York: American Institute of Aeronautics and Astronautics, 1987.

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Ostroff, Aaron J. Application of variable-gain output feedback for high-alpha control. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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Ostroff, Aaron J. Application of variable-gain output feedback for high-alpha control. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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Ostroff, Aaron J. Application of variable-gain output feedback for high-alpha control. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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J, Marhefka R., and United States. National Aeronautics and Space Administration., eds. A uniform geometrical optics and an extended uniform geometrical theory of diffraction for evaluating high frequency EM fields near smooth caustics and composite shadow boundaries. Columbus, Ohio: The Ohio State University, ElectroScience Laboratory, Dept. of Electrical Engineering, 1994.

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Lattman, Eaton E., Thomas D. Grant, and Edward H. Snell. Pushing the Envelope. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199670871.003.0014.

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Direct electron density determination from SAXS data opens up new opportunities. The ability to model density at high resolution and the implicit direct estimation of solvent terms such as the hydration shell may enable high-resolution wide angle scattering data to be used to calculate density when combined with additional structural information. Other diffraction methods that do not measure three-dimensional intensities, such as fiber diffraction, may also be able to take advantage of iterative structure factor retrieval. While the ability to reconstruct electron density ab initio is a major breakthrough in the field of solution scattering, the potential of the technique has yet to be fully uncovered. Additional structural information from techniques such as crystallography, NMR, and electron microscopy and density modification procedures can now be integrated to perform advanced modeling of the electron density function at high resolution, pushing the boundaries of solution scattering further than ever before.
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Boothroyd, Andrew T. Principles of Neutron Scattering from Condensed Matter. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862314.001.0001.

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The book contains a comprehensive account of the theory and application of neutron scattering for the study of the structure and dynamics of condensed matter. All the principal experimental techniques available at national and international neutron scattering facilities are covered. The formal theory is presented, and used to show how neutron scattering measurements give direct access to a variety of correlation and response functions which characterize the equilibrium properties of bulk matter. The determination of atomic arrangements and magnetic structures by neutron diffraction and neutron optical methods is described, including single-crystal and powder diffraction, diffuse scattering from disordered structures, total scattering, small-angle scattering, reflectometry, and imaging. The principles behind the main neutron spectroscopic techniques are explained, including continuous and time-of-flight inelastic scattering, quasielastic scattering, spin-echo spectroscopy, and Compton scattering. The scattering cross-sections for atomic vibrations in solids, diffusive motion in atomic and molecular fluids, and single-atom and cooperative magnetic excitations are calculated. A detailed account of neutron polarization analysis is given, together with examples of how polarized neutrons can be exploited to obtain information about structural and magnetic correlations which cannot be obtained by other methods. Alongside the theoretical aspects, the book also describes the essential practical information needed to perform experiments and to analyse and interpret the data. Exercises are included at the end of each chapter to consolidate and enhance understanding of the material, and a summary of relevant results from mathematics, quantum mechanics, and linear response theory, is given in the appendices.
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Book chapters on the topic "High angle diffraction theory"

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Barone, Vincenzo, and Enrico Predazzi. "Regge Theory." In High-Energy Particle Diffraction, 83–121. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04724-8_5.

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Forsyth, V. T., and I. M. Parrot. "High-Angle Neutron Fiber Diffraction in the Study of Biological Systems." In Neutron Scattering in Biology, 85–105. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-29111-3_6.

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Drits, Victor A. "Dynamical Theory of Electron Diffraction (Two-Beam Approximation)." In Electron Diffraction and High-Resolution Electron Microscopy of Mineral Structures, 70–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-71729-1_6.

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Greenall, Robert J., and Watson Fuller. "High angle fiber diffraction studies on conformational transitions in DNA using synchrotron radiation." In Synchrotron Radiation in Chemistry and Biology III, 31–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3540512012_12.

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Franzen, Hugo F., and Sung-jin Kim. "High Temperature X-Ray Diffraction and Landau Theory Investigations of Thermal Symmetry-Breaking Transitions." In Materials Chemistry at High Temperatures, 87–93. Totowa, NJ: Humana Press, 1990. http://dx.doi.org/10.1007/978-1-4612-0481-7_7.

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Drits, Victor A. "The Kinematical Theory of Scattering of Electrons by Crystals. Intensity of Diffraction Reflections." In Electron Diffraction and High-Resolution Electron Microscopy of Mineral Structures, 14–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-71729-1_3.

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Kundrát, Vojtěch, and Miloš Lokajíček. "High-Energy Elastic Scattering and Nucleon Structure." In DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory, 199–208. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0177-9_19.

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Ivanov, I. P., N. N. Nikolaev, W. Schäfer, B. G. Zakharov, and V. R. Zoller. "High Density QCD, Saturation and Diffractive DIS." In DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory, 209–20. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0177-9_20.

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Iljin, Yu, A. Lengyel, and Z. Tarics. "Three-Component Pomeron in High Energy Elastic Scattering." In DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory, 109–16. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0177-9_10.

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Martynov, E., J. R. Cudell, and G. Soyez. "Consequences of T-Channel Unitarity for the Interaction of Real and Virtual Photons at High Energies." In DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory, 73–83. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0177-9_7.

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Conference papers on the topic "High angle diffraction theory"

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Azizi Ibrahim, Mohamed, Faisal Al-Enezi, Marie Van Steene, and Alan Fernandes. "LEARNINGS FROM SPECTRAL GR MEASUREMENTS FROM LWD AND FROM CUTTINGS IN HIGH AND LOW ANGLE WELLS." In 2021 SPWLA 62nd Annual Logging Symposium Online. Society of Petrophysicists and Well Log Analysts, 2021. http://dx.doi.org/10.30632/spwla-2021-0062.

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Spectral gamma-ray (SGR) data were acquired from a new slim logging-while-drilling (LWD) tool and from surface cuttings in a near vertical well and in a horizontal well across clastic deposits. Comparison of the data from both measurements indicates that there are advantages from both methods. X-ray diffraction (XRD) and X-ray fluorescence (XRF) data from cuttings also support the findings. The formation evaluation objective is to quantify the volumes of each mineral and fluid present in the formation. SGR data brings the required additional information to reduce the mineral volume uncertainty, especially for the clays in the formation with complex mineral assemblages. In the studied clastic deposits, several clay types are present (with the dominant contribution from illite and kaolinite) together with feldspars and trace elements like zircon and other heavy minerals. The presence of gas introduces another unknown, since it affects the porosity measurements and fluid volume calculation through bulk density and neutron porosity. The comparison of SGR data from LWD logs and from cuttings brings robustness to our conclusions. Comparison of the thorium, potassium, and uranium concentrations from LWD logs and from cuttings shows good agreement in the measurements for the low-angle well. The high-angle well data also shows good agreement between the two measurements except for the cleaner sand section. The results from the cuttings are affected by the accuracy of sample depth control due to the poor borehole conditions and inefficiency in evacuating cuttings in high-angle wells compared to low-angle wells. The trend of the SGR is maintained. The LWD SGR elemental concentrations are then used to solve the formation mineral fractions, which are compared with the same fractions from the XRD on cuttings. Similar conclusions are drawn for the elemental concentrations. The potassium concentration enables the quantification of illite and potassium feldspar. Uranium brings a significant contribution to the total GR measurement, which could lead to a clay volume overestimation if the uranium contributions weren’t excluded. In conclusion, LWD provides superior quality SGR data compared with SGR from cuttings because of the better depth control and vertical resolution. SGR on cuttings can be an alternative when combined with other LWD measurements and accepting a higher uncertainty, in case LWD SGR cannot be run due to certain borehole conditions. This paper compares the results of a slim tool LWD and cuttings SGR data for the first time and concludes on the applicability of each technique.
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Hassebrook, Anton, Michael J. Lucis, Jeffrey E. Shield, Craig Zuhlke, Troy Anderson, Dennis Alexander, George Gogos, and Sidy Ndao. "Thermal Stability of Rare Earth Oxide Coated Superhydrophobic Microstructured Metallic Surfaces." In ASME 2015 13th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2015 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/icnmm2015-48459.

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In this paper, we present a method of generating nearly superhydrophobic surfaces from Femtosecond Laser Surface Processed (FLSP) metallic substrates and the study of their thermal stability at high temperatures. Using an FLSP process, hierarchical micro/nano structures were fabricated on stainless steel 316 after which a 200 nm Cerium Oxide (CeO2) film was sputtered onto the surface. Before CeO2 deposition, the contact angle of sample was measured. Post CeO2 deposition, the contact angles were measured again. As a result of the cerium oxide deposition, the contact angle of the originally hydrophilic FLSP surface turned near superhydrophobic with an equilibrium contact angle of approximately 140°. Subsequently, the coated surfaces were annealed in air. The surface maintained its high contact angle from room temperature to about 160°C, after which it lost its hydrophobicity due to hydrocarbon burn off. For each annealing temperature, we monitored the chemical composition for the cerium oxide-coated FLSP surface using energy dispersive x-ray spectroscopy (EDS) and X-ray diffraction (XRD). Under a nitrogen rich annealing environment, the nearly superhydrophobic FLSP metallic surface maintained its high contact angle up to temperatures as high as 350°C. To further understand the physics behind the observed phenomenon, we investigated two additional samples of polished stainless steel 310 again coated with 200 nm of CeO2.
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Nam, Youngsuk, and Y. Sungtaek Ju. "Comparative Study of Copper Oxidation Schemes and Their Effects on Surface Wettability." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67492.

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We present a comparative study of different oxidation methods for Cu, focusing on their effects on surface wettability for potential heat transfer applications. Various Cu2O/CuO nanostructures are formed on copper substrates using thermal and chemical oxidation methods. The morphology and chemical composition of the oxide layers are investigated using atomic force microscopy, scanning electron microscopy, and X-ray diffraction measurements. To evaluate the surface wettability, static contact angles are measured before and after each oxidation process. In thermal oxidation, the contact angle can be tailored from ∼15° to ∼90° by varying heating time (10 min ∼ 4 hrs) and temperature (150–250 °C). Chemical oxidation processes using hot alkali solutions yield stable CuO nanostructures with high roughness factors and unique morphologies, which cause significant changes in wettability. Both superhydrophilic and superhydrophobic surfaces are demonstrated using the chemical oxidation methods.
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Bao, Hua, Xiulin Ruan, and Timothy S. Fisher. "Analysis of Visible Radiative Properties of Vertically Aligned Multi-Walled Carbon Nanotubes." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22482.

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Finite-difference time-domain method is used to investigate the optical properties of vertical arrays of multi-walled carbon nanotubes. Individual carbon nanotubes are treated as solid circular cylinders with an effective dielectric tensor. Our results confirm that carbon nanotube arrays have extremely low reflectivity as observed in experiments. Compared with the commonly used Maxwell-Garnett theory, our calculations generally give larger reflectance and absorptance and smaller transmittance, which are attributed to the diffraction and scattering within the cylinder array structure. The effects of volume fraction, tube length, and incidence angle on radiative properties are investigated respectively. Low volume fraction and long tubes are more favorable to achieve low reflectance and high absorptance. The angular dependence study shows that there exists an optimum incidence angle at which the reflectance can be minimized, indicating that a small misalignment in carbon nanotube arrays can slightly enhance the absorptance. Our results also indicate that an even darker material could be achieved by using carbon nanotubes with good alignment on the top surface.
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Titinchi, Salam J. J., Waheed Saban, Leslie Petrik, and Hanna S. Abbo. "Synthesis, Characterization and Physiochemical Properties of Platinum Supported on Mesoporous Carbon." In ASME 2011 9th International Conference on Fuel Cell Science, Engineering and Technology collocated with ASME 2011 5th International Conference on Energy Sustainability. ASMEDC, 2011. http://dx.doi.org/10.1115/fuelcell2011-54670.

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Ordered mesoporous carbon (OMC) has been prepared by impregnating the pores of the silica template (SBA-15) with liquid petroleum gas (LPG) or sucrose. The desired support (OMC) was obtained after dissolution with NaOH. Platinum nanoparticles were dispersed on ordered mesoporous carbons using Chemical Vapour Deposition (CVD) method and Pt(acac)2 as metal source. The resulting ordered mesoporous carbon possess a large surface area with high microporosity, and a controlled pore size distribution, High-quality carbon replicas of SBA-15 show an X-ray diffraction peak at low angle, which indicates that the structural periodicity of the (111) planes has been maintained. Their pore volume and specific surface area are high and the pore volume is almost entirely microporous. The synthesized Pt/OMC was characterized by powder X-Ray diffraction, HR-TEM, HR-SEM, EDS, thermogravimetric analysis, and nitrogen adsorption. The performance of Pt catalyst supported OMC was evaluated by electrochemical studies, which shows almost similar activity to the commercial catalyst.
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D'Alesio, Umberto. "Transversity: Theory and phenomenology." In DIFFRACTION 2012: International Workshop on Diffraction in High Energy Physics. AIP, 2013. http://dx.doi.org/10.1063/1.4802139.

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Bartels, Jochen. "Could Reggeon field theory serve as an effective theory for QCD at high energies?" In DIFFRACTION 2016: International Workshop on Diffraction in High-Energy Physics. Author(s), 2017. http://dx.doi.org/10.1063/1.4977158.

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Petrov, V. A., A. A. Godizov, Roberto Fiore, Igor Ivanov, Alessandro Papa, and Jacques Soffer. "Nonlinear Regge Trajectories in Theory and Practice." In DIFFRACTION 2008: International Workshop on Diffraction in High Energy Physics. AIP, 2009. http://dx.doi.org/10.1063/1.3122190.

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Bartels, Jochen, Carlos Contreras, and G. P. Vacca. "Renormalization group analysis of Reggeon field theory: Flow equations." In DIFFRACTION 2014: International Workshop on Diffraction in High-Energy Physics. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4915993.

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Maor, Uri, Roberto Fiore, Igor Ivanov, Alessandro Papa, and Jacques Soffer. "The Interplay Between Data and Theory in Recent Unitarity Models." In DIFFRACTION 2008: International Workshop on Diffraction in High Energy Physics. AIP, 2009. http://dx.doi.org/10.1063/1.3122185.

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Reports on the topic "High angle diffraction theory"

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Kim, Sung. High temperature x-ray diffraction and Landau theory investigation of order-disorder transition in defect NaCl-type solids. Office of Scientific and Technical Information (OSTI), January 1990. http://dx.doi.org/10.2172/6784318.

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