Mathematical Optics Classical, Quantum, and Computational Methods
Coordonnateurs : Lakshminarayanan Vasudevan, Calvo María L., Alieva Tatiana
Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field.
Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing.
- Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides.
- Part II explores solutions to paraxial, linear, and nonlinear wave equations.
- Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics.
- Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics.
- Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers.
- Part VI introduces super-resolution imaging and differential geometric methods in image processing.
As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book?s figures are available at www.crcpress.com.
Orbital Angular Momentum of Light: A Ray Optical Interpretation. Wigner Distributions Moments for Beam Characterization. Dynamic Programming: Applications in Optics. Basis Expansions for Monochromatic Field Propagation in Free Space. Solutions of Paraxial Equations and Families of Gaussian Beams. The Decomposition Method to Solve Differential Equations: Optical Applications. An Introduction to Mathematics of Transformational Plasmonics. Plasmonics: Computational Techniques. Lorentz Group in Ray and Polarization Optics. Paraxial Wave Equation: Lie Algebra-Based Approach. Dihedral Polynomials. Lie Algebra and Liouville Space Methods in Quantum Optics. From Classical to Quantum Light and Vice Versa. Coherence Functions in Quantum Optics. Quantum Memory Channels in Quantum Optics. An Introduction to Super-Resolution Imaging. The Differential Structure of Images.
Date de parution : 12-2012
17.8x25.4 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 220,72 €
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Mots-clés :
Spin; Mathematical Optics; Spin Angular Momentum; optical science and engineering; Vice Versa; methods and applications in classical optics; quantum optics; and image processing; Orbital Angular Momentum; phase space concepts; Hr Image; dynamic programming in optical waveguides; LR Image; solutions to paraxial; linear; and nonlinear wave equations; Spiral Phase Plate; transformation optics; SR Reconstruction; invisibility cloaks; Wigner Function; plasmonics; Quantum Optical Systems; group theory methods; Diffractive Optical Element; laser physics; Ordinary Differential Equations; quantum memory channel models and quantum computers; POVM; super-resolution imaging; Low Resolution Observations; differential geometric methods in image processing; Optical Angular Momentum; numerical/symbolic computation; Spp Resonance; Miles Padgett; Angular Momentum; Tatiana Alieva; Principal Curvatures; Alejandro Cra; Memory Channel; Martin J; Bastiaans; Ray Trajectories; Maria L; Calvo; Quantum Channel; Jesús Pérez-Ríos; SP Mode; Miguel A; Alonso; Regularization Model; Nicole J; Moore; Ray Path; Eugeny Abramochkin; Laguerre Gaussian Modes; José A; Rodrigo; Sudipta Nandy; Raghavendra Sridhar; Muamer Kadic; Sébastien Guenneau; Stefan Enoch; Maxim Sukharev; Sibel Bașkal; Y.S; Kim; Amalia Torre; Marlos Viana; Masashi Ban; Alfredo Luis; Imrana Ashraf Zahid; Mo Ziman; Vladimír Bužek; Jonathan D; Simpkins; Robert L; Stevenson; Bart M; ter Haar Romeny