1st Edition

Mathematical Optics Classical, Quantum, and Computational Methods

630 Pages 188 B/W Illustrations
by CRC Press

630 Pages 188 B/W Illustrations
by CRC Press

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... Read more

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

Biography

Vasudevan Lakshminarayanan, María L. Calvo, Tatiana Alieva