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Computing the flow of light : nonstandard FDTD methodologies for photonics design /

Finite difference time domain (FDTD) computes the time evolution of a system at discrete time steps, and the resulting periodic visualization yields insight into the system. FDTD and FDTD-like methods can be used to solve a wide variety of problems, including, but not limited to, the wave equation,...

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Bibliographic Details
Main Authors: Cole, James B. (James Bradford) (Author), Banerjee, Saswatee (Author)
Format: Book
Language:English
Published: Bellingham, Washington : SPIE Press, [2017]
Subjects:
Photonics > Mathematics.
Electromagnetic waves > Mathematical models.
Finite differences.
Time-domain analysis.
Table of Contents:
  • Finite difference approximations
  • Accuracy, stability and convergence of numerical algorithms
  • Introduction
  • Finite difference models of the simple harmonic oscillator
  • The one-dimensional wave equation
  • Finite difference time domain algorithms for the one-dimensional wave equation
  • Program development and applications of finite difference time domain algorithms in one-dimension
  • Finite difference time domain algorithms to solve the wave equation in two and three dimensions
  • Review of electromagnetic theory
  • The Yee algorithm in one dimension
  • The Yee algorithm in two and three dimensions
  • Example applications of FDTD
  • FDTD for dispersive materials
  • Photonics problems
  • Photonics design.