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Relevant bibliographies by topics / Photonics Mathematics

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Academic literature on the topic 'Photonics Mathematics'

Author: Grafiati

Published: 11 December 2022

Last updated: 25 January 2023

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Journal articles on the topic "Photonics Mathematics"

1

Vial, Benjamin, and Yang Hao. "Open-Source Computational Photonics with Auto Differentiable Topology Optimization." Mathematics 10, no. 20 (October 21, 2022): 3912. http://dx.doi.org/10.3390/math10203912.

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In recent years, technological advances in nanofabrication have opened up new applications in the field of nanophotonics. To engineer and develop novel functionalities, rigorous and efficient numerical methods are required. In parallel, tremendous advances in algorithmic differentiation, in part pushed by the intensive development of machine learning and artificial intelligence, has made possible large-scale optimization of devices with a few extra modifications of the underlying code. We present here our development of three different software libraries for solving Maxwell’s equations in various contexts: a finite element code with a high-level interface for problems commonly encountered in photonics, an implementation of the Fourier modal method for multilayered bi-periodic metasurfaces and a plane wave expansion method for the calculation of band diagrams in two-dimensional photonic crystals. All of them are endowed with automatic differentiation capabilities and we present typical inverse design examples.

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King, F. Graham Smith and Terry A. "Optics and Photonics: An Introduction." Measurement Science and Technology 12, no. 1 (December 18, 2000): 117. http://dx.doi.org/10.1088/0957-0233/12/1/701.

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Tittel, Wolfgang, and Gregor Weihs. "Photonic entanglement for fundamental tests and quantum communication." Quantum Information and Computation 1, no. 2 (August 2001): 3–56. http://dx.doi.org/10.26421/qic1.2-2.

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Entanglement is at the heart of fundamental tests of quantum mechanics like tests of Bell-inequalities and, as discovered lately, of quantum computation and communication. Their technological advance made entangled photons play an outstanding role in entanglement physics. We give a generalized concept of qubit entanglement and review the state of the art of photonics experiments.

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Prudêncio, Filipa R., and Mário G. Silveirinha. "First Principles Calculation of the Topological Phases of the Photonic Haldane Model." Symmetry 13, no. 11 (November 22, 2021): 2229. http://dx.doi.org/10.3390/sym13112229.

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Photonic topological materials with a broken time-reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of unidirectional edge-states when enclosed by an opaque-type boundary, e.g., an electric wall. The Haldane model played a central role in the development of topological methods in condensed-matter systems, as it unveiled that a broken time-reversal symmetry is the essential ingredient to have a quantized electronic Hall phase. Recently, it was proved that the magnetic field of the Haldane model can be imitated in photonics with a spatially varying pseudo-Tellegen coupling. Here, we use Green’s function method to determine from “first principles” the band diagram and the topological invariants of the photonic Haldane model, implemented as a Tellegen photonic crystal. Furthermore, the topological phase diagram of the system is found, and it is shown with first principles calculations that the granular structure of the photonic crystal can create nontrivial phase transitions controlled by the amplitude of the pseudo-Tellegen parameter.

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Voyles, Richard M., and Seth Hulst. "Micro/macro force-servoed gripper for precision photonics assembly and analysis." Robotica 23, no. 4 (June 14, 2005): 401–8. http://dx.doi.org/10.1017/s0263574704000839.

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Photonics is a field that straddles both the macro and micro worlds. It largely deals with macro-scale devices, but many of these require sub-micron-scale precision in assembly. This makes it a very interesting application domain. We describe a microgripper for microassembly of photonic devices and micro-exploration of the properties of sub-micron attachment means (such as solder and UV epoxy). The microgripper has multi-degree-of-freedom actuation and a unique micro/macro actuator on the gripping axis to facilitate human loading and unloading and also very precise accommodation. We demonstrate the force sensitivity and stiffness of approximately 20 mN and 70 mN/um, respectively to be sufficient for the intended tasks. Finally, we demonstrate the gripper accommodating forces of a large solder ball freezing and cooling as a prelude to our intended study of sub-millimeter solder balls in sub-second heating regimes.

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Parker, Andrew R. "A vision for natural photonics." Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 362, no. 1825 (August 31, 2004): 2709–20. http://dx.doi.org/10.1098/rsta.2004.1458.

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Parker, Andrew R. "Natural photonics for industrial inspiration." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1894 (May 13, 2009): 1759–82. http://dx.doi.org/10.1098/rsta.2009.0016.

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There are two considerations for optical biomimetics: the diversity of submicrometre architectures found in the natural world, and the industrial manufacture of these. A review exists on the latter subject, where current engineering methods are considered along with those of the natural cells. Here, on the other hand, I will provide a modern review of the different categories of reflectors and antireflectors found in animals, including their optical characterization. The purpose of this is to inspire designers within the $2 billion annual optics industry.

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Muševič, I. "Nematic colloids, topology and photonics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1988 (April 13, 2013): 20120266. http://dx.doi.org/10.1098/rsta.2012.0266.

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We review and discuss recent progress in the field of nematic colloids, with an emphasis on possible future applications in photonics. The role of the topology is described, based on experimental manipulations of the topological defects in nematic colloids. The topology of the ordering field in nematics provides the forces between colloidal particles that are unique to these materials. We also discuss recent progress in the new field of active microphotonic devices based on liquid crystals (LCs), where chiral nematic microlasers and tuneable nematic microresonators are just two of the recently discovered examples. We conclude that the combination of topology and microphotonic devices based on LCs provides an interesting platform for future progress in the field of LCs.

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Yoon, Hosang, Kitty Y. M. Yeung, Philip Kim, and Donhee Ham. "Plasmonics with two-dimensional conductors." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2012 (March 28, 2014): 20130104. http://dx.doi.org/10.1098/rsta.2013.0104.

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A wealth of effort in photonics has been dedicated to the study and engineering of surface plasmonic waves in the skin of three-dimensional bulk metals, owing largely to their trait of subwavelength confinement. Plasmonic waves in two-dimensional conductors, such as semiconductor heterojunction and graphene, contrast the surface plasmonic waves on bulk metals, as the former emerge at gigahertz to terahertz and infrared frequencies well below the photonics regime and can exhibit far stronger subwavelength confinement. This review elucidates the machinery behind the unique behaviours of the two-dimensional plasmonic waves and discusses how they can be engineered to create ultra-subwavelength plasmonic circuits and metamaterials for infrared and gigahertz to terahertz integrated electronics.

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Palffy-Muhoray, Peter, Wenyi Cao, Michele Moreira, Bahman Taheri, and Antonio Munoz. "Photonics and lasing in liquid crystal materials." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1847 (August 21, 2006): 2747–61. http://dx.doi.org/10.1098/rsta.2006.1851.

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Owing to fundamental reasons of symmetry, liquid crystals are soft materials. This softness allows long length-scales, large susceptibilities and the existence of modulated phases, which respond readily to external fields. Liquid crystals with such phases are tunable, self-assembled, photonic band gap materials; they offer exciting opportunities both in basic science and in technology. Since the density of photon states is suppressed in the stop band and is enhanced at the band edges, these materials may be used as switchable filters or as mirrorless lasers. Disordered periodic liquid crystal structures can show random lasing. We highlight recent advances in this rapidly growing area, and discuss future prospects in emerging liquid crystal materials. Liquid crystal elastomers and orientationally ordered nanoparticle assemblies are of particular interest.

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Dissertations / Theses on the topic "Photonics Mathematics"

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Flanagan, Michael Brady. "Optimal shape design for a layered periodic structure." Texas A&M University, 2002. http://hdl.handle.net/1969/382.

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Yamashita, Tsuyoshi. "Unraveling photonic bands : characterization of self-collimation in two-dimensional photonic crystals." Diss., Available online, Georgia Institute of Technology, 2005, 2005. http://etd.gatech.edu/theses/available/etd-06072005-104606/.

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Thesis (Ph. D.)--School of Materials Science and Engineering, Georgia Institute of Technology, 2006.
Summers, Christopher, Committee Chair ; Chang, Gee-Kung, Committee Member ; Carter, Brent, Committee Member ; Wang, Zhong Lin, Committee Member ; Meindl, James, Committee Member ; Li, Mo, Committee Member.

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Norton, Richard. "Numerical computation of band gaps in photonic crystal fibres." Thesis, University of Bath, 2008. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501623.

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Photonic crystal fibres are capable of special light guiding properties that ordinary optical fibres do not possess, and efforts have been made to numerically model these properties. The plane wave expansion method is one of the numerical methods that has been used. Unfortunately, the function that describes the material in the fibre n(x) is discontinuous, and convergence of the plane wave expansion method is adversely affected by this. For this reason, the plane wave expansion method may not be every applied mathematician’s first choice method but we will show that it is comparable in implementation and convergence to the standard finite element method. In particular,an optimal preconditioner for the system matrix A can easily be obtained and matrixvector products with A can be computed in O(N logN) operations (where N is the size of A) using the Fast Fourier Transform. Although we are always interested in the efficiency of the method, the main contribution of this thesis is the development of convergence analysis for the plane wave expansion method applied to 4 different 2nd-order elliptic eigenvalue problems in R and R2 with discontinuous coefficients. To obtain the convergence analysis three issues must be confronted: regularity of the eigenfunctions; approximation error with respect to plane waves; and stability of the plane wave expansion method. We successfully tackle the regularity and approximation error issues but proving stability relies on showing that the plane wave expansion method is equivalent to a spectral Galerkin method, and not all of our problems allow this. However, stability is observed in all of our numerical computations. It has been proposed in [40], [53], [63] and [64] that replacing the discontinuous coefficients in the problem with smooth coefficients will improve the plane wave expansion method, despite the additional error. Our convergence analysis for the method in[63] and [64] shows that the overall rate of convergence is no faster than before. To define A we need the Fourier coefficients of n(x), and sometimes these must be approximated, thus adding an additional error. We analyse the errors for a method where n(x) is sampled on a uniform grid and the Fourier coefficients are computed with the Fast Fourier Transform. We then devise a strategy for setting the grid-spacing that will recover the convergence rate of the plane wave expansion method with exact Fourier coefficients.

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Lechleiter, Armin [Verfasser], and A. [Akademischer Betreuer] Kirsch. "Factorization methods for photonics and rough surfaces / Armin Lechleiter ; Betreuer: A. Kirsch." Karlsruhe : KIT Scientific Publishing, 2008. http://d-nb.info/118522498X/34.

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Beckett, Duan Hugh. "Eigenvalue algorithms and their application to photonic crystal device modelling." Thesis, University of Southampton, 2003. https://eprints.soton.ac.uk/45909/.

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In this thesis three methods are presented which calculate the lowest eigenvalues of a set of extremely sparse generalized eigenvalue problems which arise from modelling photonic crystal (PC) structures with the Finite Element Method in 2D and 3D. These are (1) Subspace Iteration, (2) a spectral solver based on Fourier Analysis or Maximum Entropy and (3) an Implicitly Restarted Lanczos Algorithm. Each eignevalue solver was used in a unique way to increase the efficiency of calculating the lowest few eigenvalues of a set of similar generalized eigenvalue problems. For Subspace Iteration using a low fractional accuracy and only 2 extra vectors accurate results can still be obtained with only ~ 2.2 iterations until convergence. By using Maximum Entropy or Fourier Analysis accurate density of states diagrams could be produced for propagating modes combined given a set of moments calculated from matrix vector products. A parallel implementation of this technique is presented. Modelling 3-dimensional photonic crystals with the Vector Finite Elerment Method leads to a large number of zero eigenvalues which do not represent physical modes. They were ‘filtered’ out by using an Implicitly Restarted Lanczos Method which selects the zero eigenvalue as a shift in the shifted QR scheme as it begins to converge. Taking advantage of the development of a highly efficient solver for the PC problem and the use of a grid-enabled cluster, the final chapters are an initial study in exploiting our modelling capability for optimising PC structures consisting of various configurations of rods. There are three main results: (1) from an initial sample of several thousand PC structures the best ones were optimised using a simple gradient descent technique; (2) a set of canonical structures were optimised, and (3) the effect of fabrication tolerances on the properties of a PC with a triangular lattice were investigated. The optimisation increased the size of the gap-midgap ratio by over 200% in some cases. By allowing for errors in the position and radius of the rods it was shown that with current manufacturing processes potentially homogeneous band gap could be destroyed.

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Schmalkoke, Philipp [Verfasser], and M. [Akademischer Betreuer] Plum. "On the Spectral Properties of Dispersive Photonic Crystals / Philipp Schmalkoke. Betreuer: M. Plum." Karlsruhe : KIT-Bibliothek, 2013. http://d-nb.info/1034356860/34.

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Caccavano, Adam. "Optics and Spectroscopy in Massive Electrodynamic Theory." PDXScholar, 2013. https://pdxscholar.library.pdx.edu/open_access_etds/1485.

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The kinematics and dynamics for plane wave optics are derived for a massive electrodynamic field by utilizing Proca's theory. Atomic spectroscopy is also examined, with the focus on the 21 cm radiation due to the hyperfine structure of hydrogen. The modifications to Snell's Law, the Fresnel formulas, and the 21 cm radiation are shown to reduce to the familiar expressions in the limit of zero photon mass.

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Anic, Branimir [Verfasser], and W. [Akademischer Betreuer] Dörfler. "The Fourier-Galerkin Method for Band Structure Computations of 2D and 3D Photonic Crystals / Branimir Anic. Betreuer: W. Dörfler." Karlsruhe : KIT-Bibliothek, 2013. http://d-nb.info/1048384896/34.

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Klindworth, Dirk [Verfasser], Kersten [Akademischer Betreuer] Schmidt, Patrick [Gutachter] Joly, Volker [Gutachter] Mehrmann, and Kersten [Gutachter] Schmidt. "On the numerical computation of photonic crystal waveguide band structures / Dirk Klindworth ; Gutachter: Patrick Joly, Volker Mehrmann, Kersten Schmidt ; Betreuer: Kersten Schmidt." Berlin : Technische Universität Berlin, 2015. http://d-nb.info/1156018501/34.

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Căbuz, Alexandru Ioan. "Métamatériaux Electromagnétiques - Des Cristaux Photoniques aux Composites à Indice Négatif." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2007. http://tel.archives-ouvertes.fr/tel-00161428.

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Composite metamaterials are periodic metal-dielectric structures operating at wavelengths larger than the structure period. If properly designed these structures behave as homogeneous media described by effective permittivity and permeability parameters. These effective parameters can be designed to take values in domains that are not available in naturally occurring media; notably it is possible to design composite metamaterials with simultaneously negative permittivity and permeability, or, in other words, with a negative refractive index. However, in many experimental or numerical studies it is far from obvious that the use of a homogeneous model is justified for a given structure at a given wavelength. This issue is often glossed over in the literature.
In this work I take a detailed look at the fundamental assumptions on which effective medium models rely and put forward a method for determining frequency domains where a given structure may or may not be accurately described by homogeneous effective medium parameters. This work opens the door to a more detailed understanding of the transition between homogeneous and inhomogeneous behavior in composite metamaterials, in particular by introducing the novel notions of custom made effective medium model, and of meta-photonic crystal.

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Books on the topic "Photonics Mathematics"

1

Obayya, Salah. Computational photonics. Chichester, West Sussex, U.K: Wiley, 2010.

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Numerical methods in photonics. Boca Raton: CRC Press, 2014.

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Wartak, Marek S. Computational photonics: An introduction with MATLAB. Cambridge: Cambridge University Press, 2012.

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Dörfler, Willy. Photonic crystals: Mathematical analysis and numerical approximation. Basel: Birkhäuser, 2011.

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Obayya, Salah. Computational liquid crystal photonics: Fundamentals and applications. Hoboken: John Wiley & Sons Inc., 2016.

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Bajorski, Peter. Statistics for imaging, optics, and photonics. Hoboken, N.J: Wiley, 2012.

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Guided wave photonics: Fundamentals and applications with MATLAB. Boca Raton: Taylor & Francis, 2012.

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Boardman, A. D. Advanced Photonics with Second-Order Optically Nonlinear Processes. Dordrecht: Springer Netherlands, 1998.

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Topics in computational materials science. River Edge, N.J: World Scientific, 1997.

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Symposium on Logic and Functional Devices for Photonics (1992 Toronto, Ont.). Proceedings of the Symposium on Logic and Functional Devices for Photonics and the Seventeenth State-of-the-Art Program on Compound Semiconductors (SOTAPOCS XVII). Pennington, NJ: Electrochemical Society, 1993.

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Book chapters on the topic "Photonics Mathematics"

1

Ammari, Habib, Hyeonbae Kang, and Hyundae Lee. "Photonic band gaps." In Mathematical Surveys and Monographs, 133–51. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/surv/153/09.

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Dörfler, Willy, Armin Lechleiter, Michael Plum, Guido Schneider, and Christian Wieners. "Photonic bandstructure calculations." In Photonic Crystals: Mathematical Analysis and Numerical Approximation, 23–62. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0113-3_2.

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Ohtsu, Motoichi. "Spatial Features of the Dressed Photon and its Mathematical Scientific Model." In Dressed Photons, 215–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39569-7_8.

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Burger, Martin. "Photonic Crystals and Waveguides: Simulation and Design." In Encyclopedia of Applied and Computational Mathematics, 1156–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_46.

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Combes, Jean-Michel. "Spectral Problems in the Theory of Photonic Crystals." In Mathematical Results in Quantum Mechanics, 33–46. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8745-8_3.

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Gustafson, Stephen J., and Israel Michael Sigal. "Quantum Electro-Magnetic Field - Photons." In Mathematical Concepts of Quantum Mechanics, 227–45. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21866-8_19.

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Gustafson, Stephen J., and Israel Michael Sigal. "Quantum Electro-Magnetic Field – Photons." In Mathematical Concepts of Quantum Mechanics, 295–313. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59562-3_21.

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Ekpenyong, Andrew E. "Interactions of Photons in Matter." In Mathematical Physics for Nuclear Experiments, 179–218. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003215622-5.

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Pan, Jian-Wei. "Quantum Computational Complexity with Photons and Linear Optics." In Dialogues Between Physics and Mathematics, 147–64. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-17523-7_6.

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Driessen, Alfred, Hugo J. W. M. Hoekstra, Wico Hopman, Henry Kelderman, Paul V. Lambeck, Joris van Lith, Dion J. W. Klunder, René M. de Ridder, Evgeni Krioukov, and Cees Otto. "ULTRACOMPACT OPTICAL SENSORS BASED ON HIGH INDEX-CONTRAST PHOTONIC STRUCTURES." In NATO Science Series II: Mathematics, Physics and Chemistry, 281–95. Dordrecht: Springer Netherlands, 2006. http://dx.doi.org/10.1007/1-4020-4611-1_14.

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Conference papers on the topic "Photonics Mathematics"

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Pedrotti, Leno S., Gary Beasley, and James P. Sherman. "Mathematics for photonics education." In Ninth International Topical Meeting on Education and Training in Optics and Photonics, edited by François Flory. SPIE, 2005. http://dx.doi.org/10.1117/12.2207677.

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Braga-Neto, Ulisses. "Small-sample error estimation: mythology versus mathematics." In Optics & Photonics 2005, edited by Jaakko T. Astola, Ioan Tabus, and Junior Barrera. SPIE, 2005. http://dx.doi.org/10.1117/12.619331.

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Donnelly, Judith, Matthew J. Donnelly, and Joseph M. Park. "Seeing the light: Introducing optics/photonics through middle school mathematics." In Optics Education and Outreach V, edited by G. Groot Gregory. SPIE, 2018. http://dx.doi.org/10.1117/12.2320019.

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Wu, Xiaosu, and Yindong Zhang. "Studies of Build Mathematics Model of Spatial Point and Plan Linear Programming of Radiotherapentic Dosage." In 2009 Symposium on Photonics and Optoelectronics. IEEE eXpress Conference Publishing, 2009. http://dx.doi.org/10.1109/sopo.2009.5230118.

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Guo, Ya-Jun, Jin-Ran Wang, and Xiao-Yun Yue. "Notice of Retraction: Teaching of mathematics education under the new curriculum standard." In 2010 International Conference on Optics, Photonics and Energy Engineering (OPEE 2010). IEEE, 2010. http://dx.doi.org/10.1109/opee.2010.5507957.

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Milev, M., St Minkova, E. S. Pisanova, Kr Nikolova, and V. Vladev. "Mathematical modeling of Bulgarian wines by using parameters of the applied photonics." In PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’19). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5133596.

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Gilchrist, Pamela O., Eric D. Carpenter, and Asia Gray-Battle. "Predicting scientific oral presentation scores in a high school photonics science, technology, engineering and mathematics (STEM) program." In 12th Education and Training in Optics and Photonics Conference, edited by Manuel F. P. C. Martins Costa and Mourad Zghal. SPIE, 2014. http://dx.doi.org/10.1117/12.2070741.

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Ruilan Tian, Xinwei Yang, and Yanxue Chen. "Notice of Retraction: Preliminary study on reform in classroom teaching and examining method of basic course of mathematics for technology." In 2010 International Conference on Optics, Photonics and Energy Engineering (OPEE 2010). IEEE, 2010. http://dx.doi.org/10.1109/opee.2010.5507949.

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Suhir, E. "Structural Analysis of Microelectronic and Photonic Systems." In ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems collocated with the ASME 2005 Heat Transfer Summer Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/ipack2005-73249.

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We examine some basic attributes of, and challenges in, modeling of the mechanical behavior of materials and structures in microelectronics and photonics (mainly fiber optic). The emphasis is on the role that methods and approaches of Structural Analysis should play (and, in effect, have played) in the design, manufacturing, testing and operation of micro- and opto-electronics assemblies, packages and systems. The objectives, merits and shortcomings of Structural Analysis (analytical modeling) are addressed, as well as the interaction between the analytical (“mathematical”) and numerical (mostly, FEA) modeling. We discuss also the interaction of the theoretical and experimental approaches, which should complement each other, when there is a need to design, build and operate a viable and reliable micro- or opto-electronic system. The review is based primarily on author’s work carried out during his tenure with Ball Laboratories, Physical Sciences and Engineering Research Division, and is a revised, updated and expanded version of an invited lecture presented several years ago at the RPI. It is carried out in connection with the author’s 2004 ASME award (Worcester Warner Reed Medal) “for outstanding contributions to the permanent literature of engineering through a series of papers in Mechanical, Microelectronic, and Optoelectronic Engineering, which established a new discipline known as the Structural Analysis of Microelectronic and Photonic Systems”.

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Horak, Michal. "Heterojunction photodiode: an analytical mathematical model." In Photonics Prague '99, edited by Miroslav Hrabovsky, Pavel Tomanek, and Miroslav Miler. SPIE, 1999. http://dx.doi.org/10.1117/12.373627.

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Reports on the topic "Photonics Mathematics"

1

Kuchment, Peter. DEPSCoR Project Mathematical Analysis of Photonic Band-Gap Materials 1997-2000. Fort Belvoir, VA: Defense Technical Information Center, January 2000. http://dx.doi.org/10.21236/ada392750.

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