Relevant bibliographies by topics / Jones matrix calculus

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Jones matrix calculus'

Author: Grafiati
Published: 28 June 2021
Last updated: 29 July 2025

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Journal articles on the topic "Jones matrix calculus"

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GENAUER, JOSH, and NEAL W. STOLTZFUS. "Explicit diagonalization of the Markov form on the Temperley–Lieb algebra." Mathematical Proceedings of the Cambridge Philosophical Society 142, no. 3 (2007): 469–85. http://dx.doi.org/10.1017/s0305004106009765.

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AbstractIn a fundamental paper in 1984, Vaughan Jones developed his new polynomial invariant of knots using a Markov trace on the Temperley–Lieb algebra. Subsequently, Lickorish used the associated bilinear pairing to provided an alternative proof for the existence of the 3-manifold invariants of Witten, Reshetinkin and Turaev. A key property of this form is the non-degeneracy of this form except at the parameter values ±2cos(π/(n+1)) [7]. Ko and Smolinsky derived a recursive formula for the determinants of specific minors of Markov's form, establishing the needed non-degeneracy [6]. In this p
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Degl'Innocenti, Egidio Landi. "The Physics of Polarization." Proceedings of the International Astronomical Union 10, S305 (2014): 1. http://dx.doi.org/10.1017/s1743921315004433.

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AbstractThe introductory lecture that has been delivered at this Symposium is a condensed version of an extended course held by the author at the XII Canary Island Winter School from November 13 to November 21, 2000. The full series of lectures can be found in Landi Degl'Innocenti (2002). The original reference is organized in 20 Sections that are here itemized: 1. Introduction, 2. Description of polarized radiation, 3. Polarization and optical devices: Jones calculus and Muller matrices, 4. The Fresnel equations, 5. Dichroism and anomalous dispersion, 6. Polarization in everyday life, 7. Pola
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Kasaragod, Deepa K., Zenghai Lu, James Jacobs, and Stephen J. Matcher. "Experimental validation of an extended Jones matrix calculus model to study the 3D structural orientation of the collagen fibers in articular cartilage using polarization-sensitive optical coherence tomography." Biomedical Optics Express 3, no. 3 (2012): 378. http://dx.doi.org/10.1364/boe.3.000378.

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Izdebski, M., and W. Kucharczyk. "Analysis of quadratic electrooptic response of BaTiO3 crystal in ferroelectric phase." Opto-Electronics Review 16, no. 1 (2008). http://dx.doi.org/10.2478/s11772-007-0038-0.

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AbstractUsing the example of BaTiO3 in a ferroelectric phase it is shown that a large difference in magnitudes of individual linear electrooptic coefficients may be a reason of additional indirect quadratic contributions that are independent of real quadratic coefficients. For some directions of the applied field and light, the indirect contributions may be even larger than the real quadratic ones. Independently of nonlinear distortions that can affect applicability of technical devices, a large difference between linear electrooptic coefficients may lead to serious problems in measurements of
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Hernández Caro, Marcelo, and Steen Ryom-Hansen. "Graded Sum Formula for ~ A1-Soergel Calculus and the Nil-Blob Algebra." International Mathematics Research Notices, December 15, 2023. http://dx.doi.org/10.1093/imrn/rnad287.

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Abstract We study the representation theory of the Soergel calculus algebra $ {{ \tilde {A}_w^{{\mathbb {C}}}}}:= \mbox {End}_{ {{\mathcal {D}}}_{(W,S)}} (\underline {w}) $ over $ {\mathbb {C}}$ in type $ \tilde {A}_1$. We generalize the recent isomorphism between the nil-blob algebra $ {{\mathbb {N}\mathbb {B}}_n}$ and a diagrammatically defined subalgebra $ {A}_w^{{\mathbb {C}}}$ of ${{ \tilde {A}_w^{{\mathbb {C}}}}}$ to deal with the two-parameter blob algebra. Under this generalization, the two parameters correspond to the two simple roots for $ \tilde {A}_1$. Using this, together with cal
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Degl'Innocenti, Egidio Landi. "The Physics of Polarization." July 24, 2015. https://doi.org/10.1017/s1743921315004433.

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AbstractThe introductory lecture that has been delivered at this Symposium is a condensed version of an extended course held by the author at the XII Canary Island Winter School from November 13 to November 21, 2000. The full series of lectures can be found in Landi Degl'Innocenti (2002). The original reference is organized in 20 Sections that are here itemized: 1. Introduction, 2. Description of polarized radiation, 3. Polarization and optical devices: Jones calculus and Muller matrices, 4. The Fresnel equations, 5. Dichroism and anomalous dispersion, 6. Polarization in everyday life, 7. Pola
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Dissertations / Theses on the topic "Jones matrix calculus"

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Chakraborty, Shibalik. "Determination of Mueller matrix elements in the presence of imperfections in optical components." ScholarWorks@UNO, 2009. http://scholarworks.uno.edu/td/969.

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The Polarizer-Sample-Analyzer (PSA) arrangement with the optical components P and A rotating with a fixed speed ratio (3:1) was originally introduced to determine nine Mueller matrix elements from Fourier analysis of the output signal of a photodetector. The arrangement is modified to the P'PSAA' arrangement where P' and A' represent fixed polarizers that are added at both ends with the speed ratio of the rotating components (P and A) remaining the same as before. After determination of the partial Mueller matrix in the ideal case, azimuthal offsets and imperfection parameters are introduced i
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Šremrová, Vendula. "3D tisk optomechanických zařízení." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-444972.

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Optomechanical components are widely used in many optical experiments. This diploma thesis deals with design and manufacturing optomechanical components using 3D print technology. These are cheaper alternatives of commercial devices. In addition to 3D printed parts, minimum number of other components are used to assemble functional devices. Using simple experimental setups, the manufactured components are evaluated and compared with commercially available ones. The results show that they can be used in applications where high accuracy is not required. The second part is devoted to the design a
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(8713962), James Ulcickas. "LIGHT AND CHEMISTRY AT THE INTERFACE OF THEORY AND EXPERIMENT." Thesis, 2020.

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Optics are a powerful probe of chemical structure that can often be linked to theoretical predictions, providing robustness as a measurement tool. Not only do optical interactions like second harmonic generation (SHG), single and two-photon excited fluorescence (TPEF), and infrared absorption provide chemical specificity at the molecular and macromolecular scale, but the ability to image enables mapping heterogeneous behavior across complex systems such as biological tissue. This thesis will discuss nonlinear and linear optics, leveraging theoretical predictions to provide frameworks for inter
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Book chapters on the topic "Jones matrix calculus"

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"The Jones Matrix Calculus." In Polarized Light, Revised and Expanded. CRC Press, 2003. http://dx.doi.org/10.1201/9780203911587.ch11.

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"Polarization of Monochromatic Waves. Background of the Jones Matrix Methods. The Jones Calculus." In Modeling and Optimization of LCD Optical Performance. John Wiley & Sons, Inc., 2015. http://dx.doi.org/10.1002/9781118706749.ch1.

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Fuller, Gerald G. "Transmission by Anisotropic Media: The Jones and Mueller Calculus." In Optical Rheometry of Complex Fluids. Oxford University PressNew York, NY, 1995. http://dx.doi.org/10.1093/oso/9780195097184.003.0002.

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Abstract The majority of polarizing elements used to design optical rheometers, and most sample geometries in optical rheometry, involve transmission of light through anisotropic materials. This interaction will generally induce a transformation in the polarization. Throughout this monograph, only linear transformations will be considered, and, in this case, matrix operations conveniently describe the behavior of optical elements. Two calculus procedures have been developed for this purpose for both the Jones and Stokes vectors and are described in this chapter. Using these techniques, the ana
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Conference papers on the topic "Jones matrix calculus"

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Savenkov, Sergey N., and Yevgeny A. Oberemok. "Generalized conditions for eigenpolarizations orthogonality: Jones matrix calculus." In SPIE Defense and Security Symposium, edited by David B. Chenault and Dennis H. Goldstein. SPIE, 2008. http://dx.doi.org/10.1117/12.783958.

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Simon, John D., Kiaoliang Xie, and Robert Dunn. "Time-resolved circular dichroism studies of biological systems." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.mbb4.

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This paper examines a new experimental approach for studying ultrafast relaxation processes in biological systems—picosecond time-resolved circular-dichroism spectroscopy. The technical details of the experimental apparatus will be discussed. Optical analysis using Jones matrix calculus shows how complications due to pump induced linear dichroism can be eliminated enabling the isolation and measurement of transient circular dichroism signals. Extension of this approach to femtosecond time resolution will also be examined.
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