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Mathematical optics : classical, quantum, and computational methods

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TLDR
In this paper, Lakshminarayanan and S.Rodriguez proposed the Decomposition Method to Solve Differential Equations (DME) for optical applications.
Abstract
Special Problems in Ray Optics Orbital Angular Momentum: A Ray Optical Interpretation, M. Padgett Wigner Distributions Moments for Beam Characterization, T. Alieva, A. Camara, and M.J. Bastiaans Dynamic Programming Applications in Optics, M.L. Calvo, J. Perez-Rios, and V. Lakshminarayanan Mathematical Formalism in Wave Optics Basis Expansions for Monochromatic Field Propagation in Free Space, M.A. Alonso and N.J. Moore Solutions of Paraxial Equations and Families of Gaussian Beams, E. Abramochkin, T. Alieva, and J.A. Rodrigo The Decomposition Method to Solve Differential Equations: Optical Applications, V. Lakshminarayanan and S. Nandy Plasmonics An Introduction to Mathematics of Transformational Plasmonics, M. Kadic, S. Guenneau, and S. Enoch Plasmonics: Computational Approach, M. Sukharev Applications of Group Theory in Optics Lorentz Group in Ray and Polarization Optics, S. Baskal and Y.S. Kim Paraxial Wave Equation: Lie Algebra-Based Approach, A. Torre Dihedral Polynomials, M. Viana Lie Algebra and Liouville Space Methods in Quantum Optics, M. Ban Quantum Optics Methods From Classical to Quantum Light and Vice Versa: Quantum Phase-Space Methods, A. Luis Coherence Functions in Classical and Quantum Optics, I. Ashraf Zahid and V. Lakshmianrayanan Quantum Memory Channels in Quantum Optics, T. Rybar, M. Zyman, and V. Buzek Computational Optics/Image Processing An Introduction to Super-Resolution Imaging, J.D. Simpkins and R.L. Stevenson The Differential Structure of Images, B.M. ter Haar Romeny Index

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Citations
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Journal ArticleDOI

Optics of exciton-plasmon nanomaterials.

TL;DR: In this article, the authors provide a brief introduction to the physics of coupled exciton-plasmon systems, the theoretical description and experimental manifestation of such phenomena, followed by an account of the state-of-the-art methodology for the numerical simulations of these phenomena and supplemented by a number of FORTRAN codes, by which the interested reader can introduce himself/herself to the practice of such simulations.
Journal ArticleDOI

Topical Review: optics of exciton-plasmon nanomaterials

TL;DR: The consequences of a more detailed description of the molecular environment in terms of its quantum density matrix makes it possible to account for characteristics that cannot be described by the dielectric response model: the effects of dephasing on the molecular response on one hand, and nonlinear response on the other.
Proceedings ArticleDOI

Sensors based on quantum hyper-entanglement: efficiency and performance in the presence of other photon sources

TL;DR: In this article, an atmospheric imaging system based on quantum hyper-entanglement has been developed, where only the signal photon propagates in the atmosphere, the ancilla photon is retained within the detector.
Journal ArticleDOI

Improving detection range, signal-to-noise ratio, and measurement time through hyperentanglement

TL;DR: In this article, a design for creating states hyperentangled in the degrees of freedom polarization, energy-time, orbital angular momentum (OAM), and the radial quantum number is examined.
Journal ArticleDOI

Classification of Healthy and Cancer States of Colon Epithelial Tissues Using Opto-magnetic Imaging Spectroscopy

TL;DR: The obtained results strongly suggest that the new non-invasive OMIS method might be used for tissue characterization ex vivo to discriminate between the healthy and carcinoma state of the colon.
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book

Quantum Mechanics

Book

Perturbation theory for linear operators

Tosio Kato
TL;DR: The monograph by T Kato as discussed by the authors is an excellent reference work in the theory of linear operators in Banach and Hilbert spaces and is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.
Book

Dynamic Programming

TL;DR: The more the authors study the information processing aspects of the mind, the more perplexed and impressed they become, and it will be a very long time before they understand these processes sufficiently to reproduce them.
Book

Computational Electrodynamics: The Finite-Difference Time-Domain Method

Allen Taflove
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.