Mathematical Optics: Classical, Quantum, and Computational Methods

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.