Relevant bibliographies by topics / Monochromatic random waves

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Academic literature on the topic 'Monochromatic random waves'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Monochromatic random waves"

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TRINES, R. M. G. M., R. BINGHAM, L. O. SILVA, J. T. MENDONÇA, P. K. SHUKLA, C. D. MURPHY, M. W. DUNLOP, et al. "Applications of the wave kinetic approach: from laser wakefields to drift wave turbulence." Journal of Plasma Physics 76, no. 6 (August 17, 2010): 903–14. http://dx.doi.org/10.1017/s0022377810000449.

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AbstractNonlinear wave-driven processes in plasmas are normally described by either a monochromatic pump wave that couples to other monochromatic waves, or as a random phase wave coupling to other random phase waves. An alternative approach involves a random or broadband pump coupling to monochromatic and/or coherent structures in the plasma. This approach can be implemented through the wave-kinetic model. In this model, the incoming pump wave is described by either a bunch (for coherent waves) or a sea (for random phase waves) of quasi-particles. This approach has been applied to both photon acceleration in laser wakefields and drift wave turbulence in magnetized plasma edge configurations. Numerical simulations have been compared to experiments, varying from photon acceleration to drift mode-zonal flow turbulence, and good qualitative correspondences have been found in all cases.
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Riedel, Hans Peter, and Anthony Paul Byrne. "RANDOM BREAKING WAVES HORIZONTAL SEABED." Coastal Engineering Proceedings 1, no. 20 (January 29, 1986): 68. http://dx.doi.org/10.9753/icce.v20.68.

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According to wave theories the depth limited wave height over a horizontal seabed has a wave height to water depth ratio (H/d) of about 0.8. Flume experiments with monochromatic waves over a horizontal seabed have failed to produce H/d ratios greater than 0.55. However designers still tend to use H/d 0.8 for their design waves. Experiments have been carried out using random wave trains in the flume over a horizontal seabed. These experiments have shown that the limiting H/d ratio of 0.55 applies equally well to random waves.
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Vladimirov, SV, and SI Popel. "Modulational Interactions of Two Monochromatic Waves and Packets of Random Waves." Australian Journal of Physics 47, no. 4 (1994): 375. http://dx.doi.org/10.1071/ph940375.

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The modulational instability of Langmuir waves in unmagnetised plasmas is reviewed for the cases when a pump consist of two monochromatic or a large number of random modes. It is demonstrated that the correct theory for the modulational instability operates with 'renormalised' equations for the linear dielectric function as well as for the effective third-order plasma response. This renormalisation is due to so-called interference terms. The appearance of interference terms is a specific feature of the multi-mode modulational instability in comparison with the well-known instability of a single mode. All calculations use a simple and universal formalism including new methods developed for description of the modulational effects in arbitrary media. The modulational instability of two pump Langmuir modes is considered for the case of comparatively small instability rates, when 'renormalised' expressions for linear and nonlinear plasma polarisation responses provide the maximum effect on the instability development. For instabilities of the broad spectra of random waves, the integral equations are presented for perturbations of wave field correlation functions. In the description of the modulational instability of random wave packets these equations play the same role as the set of coupled equations for the fields of modulational perturbations in the case of two monochromatic pumps. Rates and thresholds of the instabilities are found in various limits.
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Truitt, Clifford L., and John B. Herbich. "TRANSMISSION OF RANDOM WAVES THROUGH PILE BREAKWATERS." Coastal Engineering Proceedings 1, no. 20 (January 29, 1986): 169. http://dx.doi.org/10.9753/icce.v20.169.

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Several previous investigators have conducted experiments leading to expressions for predicting the transformation of waves passing through closely-spaced pile breakwaters. The present study extends those earlier experiments using monochromatic waves to the case of a spectrum of random waves. Records of incident waves and of waves after transmission through a model pile breakwater were compared to determine a coefficient of transmission. Results are presented for several cases of pile spacing and pile diameter. Good agreement is found between observed transmission coefficients and those predicted using the expression proposed by Hayashi et al. (1966).
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Eadie, Robert W., and John B. Herbich. "SCOUR ABOUT A SINGLE, CYLINDRICAL PILE DUE TO COMBINED RANDOM WAVES AND A CURRENT." Coastal Engineering Proceedings 1, no. 20 (January 29, 1986): 136. http://dx.doi.org/10.9753/icce.v20.136.

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There have been many studies of scour around piles caused by waves, and some studies of scour by waves and currents combined. However, almost all of the studies were conducted with monochromatic waves. The purpose of this investigation was to study what scouring effects various currents and random waves have on a single, cylindrical pile. These results were then compared with the results from previous studies of scour resulting from currents and monochromatic waves at Texas A&M University (Armbrust, 1982 and Wang, 1983). Experiments were conducted in a two-dimensional wave tank. The pile used in this study had a diameter of 1.5 inches. Two water depths, four currents, one sediment size and four random wave spectra were utilized. Using data obtained from the experiments, an attempt was made to describe scour in terms of relevant dimensionless parameters.
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Romaniega, Álvaro, and Andrea Sartori. "Nodal set of monochromatic waves satisfying the Random Wave Model." Journal of Differential Equations 333 (October 2022): 1–54. http://dx.doi.org/10.1016/j.jde.2022.05.023.

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Jung, Jae-Sang, and Changhoon Lee. "Spatial Variation of Wave Force Acting on a Vertical Detached Breakwater Considering Diffraction." Journal of Korean Society of Coastal and Ocean Engineers 33, no. 6 (December 31, 2021): 275–86. http://dx.doi.org/10.9765/kscoe.2021.33.6.275.

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In this study, the analytical solution for diffraction near a vertical detached breakwater was suggested by superposing the solutions of diffraction near a semi-infinite breakwater suggested previously using linear wave theory. The solutions of wave forces acting on front, lee and composed wave forces on both side were also derived. Relative wave amplitude changed periodically in space owing to the interactions between diffracting waves and standing waves on front side and the interactions between diffracting waves from both tips of a detached breakwater on lee side. The wave forces on a vertical detached breakwater were investigated with monochromatic, uni-directional random and multi-directional random waves. The maximum composed wave force considering the forces on front and lee side reached maximum 1.6 times of wave forces which doesn’t consider diffraction. This value is larger than the maximum composed wave force of semi-infinite breakwater considering diffraction, 1.34 times, which was suggested by Jung et al. (2021). The maximum composed wave forces were calculated in the order of monochromatic, uni-directional random and multi-directional random waves in terms of intensity. It was also found that the maximum wave force of obliquely incident waves was sometimes larger than that of normally incident waves. It can be known that the considerations of diffraction, the composed wave force on both front and lee side and incident wave angle are important from this study.
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Canzani, Yaiza, and Boris Hanin. "Local Universality for Zeros and Critical Points of Monochromatic Random Waves." Communications in Mathematical Physics 378, no. 3 (August 12, 2020): 1677–712. http://dx.doi.org/10.1007/s00220-020-03826-w.

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Canzani, Yaiza, and Peter Sarnak. "Topology and Nesting of the Zero Set Components of Monochromatic Random Waves." Communications on Pure and Applied Mathematics 72, no. 2 (October 15, 2018): 343–74. http://dx.doi.org/10.1002/cpa.21795.

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Ingremeau, Maxime, and Alejandro Rivera. "A lower bound for the Bogomolny–Schmit constant for random monochromatic plane waves." Mathematical Research Letters 26, no. 4 (2019): 1179–86. http://dx.doi.org/10.4310/mrl.2019.v26.n4.a9.

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Dissertations / Theses on the topic "Monochromatic random waves"

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Lakshmi, Priya M. E. "Nodal sets of random functions." Thesis, 2021. https://etd.iisc.ac.in/handle/2005/5511.

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This thesis is devoted to the study of nodal sets of random functions. The random functions and the specific aspect of their nodalset that we study fall into two broad categories: nodal component count of Gaussian Laplace eigenfunctions and volume of the nodal set of centered stationary Gaussian processes (SGPs) on R^d, d ≥ 1. Gaussian Laplace eigenfunctions: Nazarov–Sodin pioneered the study of nodal component count for Gaussian Laplace eigenfunctions; they investigated this for random spherical harmonics (RSH) on the two-dimensional sphere S^2 and established exponential concentration for their nodal component count. An analogous result for arithmetic random waves (ARW) on the d-dimensional torus T^d, for d ≥ 2, was established soon after by Rozenshein. We establish concentration results for the nodal component count in the following three instances: monochromatic random waves (MRW) on growing Euclidean balls in R^2; RSH and ARW, on geodesic balls whose radius is slightly larger than the Planck scale, in S^2 and T^2 respectively. While the works of Nazarov–Sodin heavily inspire our results and their proofs, some effort and a subtler treatment are required to adapt and execute their ideas in our situation. Stationary Gaussian processes: The study of the volume of nodal sets of centered SGPs on R^d is classical; starting with Kac and Rice’s works, several studies were devoted to understanding the nodal volume of Gaussian processes. When d = 1, under somewhat strong regularity assumptions on the spectral measure, the following results were established for the zero count on growing intervals: variance asymptotics, central limit theorem and exponential concentration. For smooth centered SGPs on R^d, we study the unlikely event of overcrowding of the nodal set in a region; this is the event that the volume of the nodal set in a region is much larger than its expected value. Under some mild assumptions on the spectral measure, we obtain estimates for the probability of the overcrowding event. We first obtain overcrowding estimates for the zero count of SGPs on R, we then deal with the overcrowding question in higher dimensions in the following way. Crofton’s formula gives the nodal set’s volume in terms of the number of intersections of the nodal set with all lines in R^d. We discretize this formula to get a more workable version of it and, in a sense, reduce this higher dimensional overcrowding problem to the one-dimensional case.
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CHIANG, LI-CHIEH, and 姜禮杰. "An Investigation of Monochromatic and Random Wave Reflection by Submerged Breakwater." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/90961378790667616045.

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碩士
東南技術學院
防災科技研究所
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The absorption submerged breakwater are being investigated in this article by a series of experiments containing various combinations of breakwater differ in size and wave conditions, the characteristic of submerged breakwater are discussed and compared by using both the monochromatic and random wavws. According to the experiment results, due probably to the regularity and consistency of regular waves, the influence of submerged obstacles to the deformation of regular wave seems to have similar outcome, i.e. regularities in variations. Hence, the effects of regular wave by breakwater caused intense responses. On the contrary, since the irregular waves are composed of diverse waves, both the reciprocations between wave and the obstacle or the wave-wave interations may cause great affects to the results, and also much more complicated for physical investigations. Entirely, the response of breakwater to random waves is gentler than that to monochromatic waves, this conseguence agree by mere coincidence with Kuo. The establishing of numerous fundamental theories of water waves were basically in accordance with the so-called idealistically regular wave, however, wavein reality is of considerablyrandomness, therefore, the in ter gration and discrepancy of fundamental theories with random wave theories is discussed.
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Book chapters on the topic "Monochromatic random waves"

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Canzani, Yaiza. "Monochromatic Random Waves for General Riemannian Manifolds." In Frontiers in Analysis and Probability, 1–20. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56409-4_1.

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Conference papers on the topic "Monochromatic random waves"

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Peters, Karsten, Jürgen Newe, and Hans-H. Dette. "Development of Underwater Beach Profile by Monochromatic and Random Waves." In 25th International Conference on Coastal Engineering. New York, NY: American Society of Civil Engineers, 1997. http://dx.doi.org/10.1061/9780784402429.266.

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Nagy, Shady A. "Multilevel Monte Carlo Method on Transmission of Monochromatic Waves Through a Slab of Random Medium." In 2020 International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE). IEEE, 2020. http://dx.doi.org/10.1109/reepe49198.2020.9059156.

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Bakunin, Vladimir L., Gregory G. Denisov, and Yulia V. Novozhilova. "Gyrotron Spectrum Control by an External Quasi-Monochromatic Signal with Harmonic or Stepwise (Regular or Random) Modulation of Parameters." In 2021 46th International Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-THz). IEEE, 2021. http://dx.doi.org/10.1109/irmmw-thz50926.2021.9566844.

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Murray, J., and G. Fudge. "Construction and Commissioning of the Offshore Engineering and Seakeeping Basin at the Institute for Marine Dynamics." In SNAME 22nd American Towing Tank Conference. SNAME, 1989. http://dx.doi.org/10.5957/attc-1989-021.

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The National Research Council of Canada is presently constructing and preparing to commission a 75 m x 32 m x 3.5 m Offshore Engineering and Seakeeping Basin at the Institute for Marine Dynamics in St. John's, Newfoundland. The Basin will be capable of simulating waves, wind and current, for use in both commercial and research programs. The first stage of commissioning and calibration will focus on preparing the Basin, scheduled for completion in February 1990, for commercial testing of moored and free running vessels. Waves are gene rated in the Basin by means of a 192 segment wave machine, mounted in a "J" configuration. Short and long-crested monochromatic and random waves will be generated using the snake principle. Passive wave absorption is utilized in the Basin using expanded metal sheets of varying porosities and spacings. These are located at all Basin wall locations not supporting wave generators. A bank of 24 analog controlled fans is used to generate wind. Turbulence spectra and velocity profiling are established by fluctuating the speed of the fans using precalibrated drive signals. Surface current is generated by setting up water circulation within the Basin. Submersible pumps are used to charge manifolds positioned at various levels below the surface. The data acquisition system, controlled by a microVAX-II computer, is capable of variable rate sampling of 128 channels of A/0 and can simultaneously output 16 channels of DIA. The microVAX is networked to a local VAX 3200 used for synthesis of drive signals and test data reduction and analysis. Model motions in six degrees-of-freedom are measured using an optical tracking system, consisting of three vertical and two horizontal cameras, and light emitting diodes positioned on the model.
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Wolf, Emil, and John T. Foley. "Scattering of light of finite bandwidth from fluctuating media." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.tuo2.

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With the increasing use of laser light in scattering experiments, a good deal of information has been obtained in recent years about thermal fluctuations in gases and liquids, lattice vibrations in solids, phase transitions, etc. The underlying theory has, however, been largely restricted to scattering of monochromatic plane waves by density fluctuations in equilibrium conditions. We present new results, valid within the accuracy of the first Born approximation, relating to scattering of partially coherent light by a linear medium whose macroscopic response is a random function of space and time, characterized by a statistical ensemble that is homogeneous and stationary. The incident light is assumed to be linearly polarized, statistically stationary, and homogeneous and to have an arbitrary spectral profile. The analysis is based on statistical continuum theory, and the results apply both off-resonance and in the resonance region of the medium. The central quantity of this theory is a generalization of the van Hove correlation function,1,2 well known in the theory of neutron scattering.
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Kouvaras, Nicholas, and Manhar R. Dhanak. "Prediction of Characteristics of Wave Breaking in Shallow Water Using Neural Network Techniques." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62283.

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The characteristics of wave breaking over a fringing reef are considered using a set of laboratory experiments and the results are used to develop associated predictive models. Various methods are typically used to estimate the characteristics of nearshore wave breaking, mostly based on empirical, analytical and numerical techniques. Deo et al. (2003) used an artificial neural network approach to predict the breaking wave height and breaking depth for waves transforming over a range of simply sloped bottoms. The approach is based on using available representative data to train appropriate neural network models. The Deo et al. (2003) approach is extended here to predict other characteristics of wave breaking, including the type of wave breaking, and the position of breaking over a fringing reef, as well as the associated wave setup, and the rate of dissipation of wave energy, based on observations from a series of laboratory experiments involving monochromatic waves impacting on an idealized reef. Yao et al. (2013) showed that for such geometry, the critical parameter is the ratio of deep-water wave height to the depth of the shallow reef flat downstream of the position of wave breaking, H1/hs, rather than the slope of the reef. H1/hs, and the wave frequency parameter, fH1/g, are provided as inputs to the neural network models of the feed-forward type that are developed to predict the above characteristics of wave breaking. The models are trained using the experimental data. The breaker type classification model has a success rate of over 95%, implying that the neural networks method outperforms previously used criteria for classifying breaker types. The numeric prediction model for the dimensionless position of wave breaking also performs well, with a high degree of correlation between the predicted and actual positions of wave breaking. The performance is higher when only the plunging breaker instances are considered, but lower when only the spilling breaker instances are considered. The corresponding neural network models for wave setup within the surf zone and the difference in energy flux between the incident and broken wave have success rates of approximately 89% and 94% respectively. The method may be extended to provide predictive models for consideration of a range of natural coastal conditions, random waves, and various bottom profiles and complex geometry, based on training and testing of the models using representative field and laboratory observational data, in support of accurate prediction of near-shore wave phenomena.
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Yang, C. C. "Statistics of laser intensity amplified by a slightly saturated optical amplifier with a random gain medium." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.md1.

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Recently, attention has been paid to the laser noise caused by the turbulence in the gain cell of a gas or liquid laser. In such a gain medium, the spatial and/or temporal variations of resonance molecules are supposed to be stochastic. Therefore, the gain coefficient and propagation constant in this medium become random. In this research, the statistics of a linearly polarized monochromatic plane wave are evaluated after the wave is propagated through an optical amplifier with a random gain medium. A partially homogeneously broadened slightly saturated laser amplifier is considered. To deal with nonlinear propagation, the perturbation method is used in which the slight saturation is regarded as the perturbative factor. As for the random molecule distributions, the relative fluctuation of molecule number density is assumed to follow a Gaussian probability distribution. Also, a Gaussian correlation function is used for describing the random structure. The average laser intensity and the contrast of intensity fluctuation are to be evaluated. The couplings among the random gain, random propagation constant, and nonlinear effect are discussed. Here only weak turbulences are considered. Numerical examples are presented.
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Wang, Weijian, and Emil Wolf. "Effects of spatial coherence of incident light on reflection and transmission." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.thh2.

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It has recently been shown that spatial coherence properties of light scattered from a deterministic or a random medium can appreciably influence the nature of the scattered field.1 In this paper we discuss closely related situations, namely, the reflection and transmission of light of different states of coherence at a planar dielectric interface and with a plane-parallel slab. We assume that the incident light is generated by a quasihomogeneous Gaussian-correlated source,2 and we obtain expressions for the ratio of the total power of reflected and also transmitted light to that of incident light, as a function of the spatial coherence length of the source. We find that only when the source is locally incoherent, i.e., when its coherence length is of the order of the wavelength of incident light, will the results differ significantly from those obtained with a plane monochromatic incident wave.
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Cheng, Li-Jen. "Image processing for acousto-optic tunable filter (AOTF) hyperspectral imaging instrument." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1993. http://dx.doi.org/10.1364/oam.1993.mz.3.

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AOTF is a high resolution, fast programmable bandpass filter, operation through the principle of optical diffraction at a moving index grating generated an acoustic wave in an anisotropic medium. The diffraction generates two monochromatic beams with polarization directions orthogonal to each other. Therefore, this filter provides opportunities to develop instruments capable of taking images as functions of wavelength and polarization. This filter can be tune in sequential, random, and multiwavelength access modes, providing observational flexibility to broaden the area of applications. Recently, we have successfully developed AOTF polarimetric hyperspectral imaging breadboard/prototype systems operating in the visible and infrared wavelength ranges and performed field experiments on natural and artificial objects. Results illustrate enhancing/enabling capabilities of this technology in remote sensing, and also reveal a need of a “real-time” multidimensional imaging processing in order to take the full advantage provided by AOTF. This paper will discuss image processing issues relevant to the use of AOTF instruments for remote sensing applications.
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