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(r) 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.
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