Computing the flow of light : nonstandard FDTD methodologies for photonics design / James B. Cole and Saswatee Banerjee.

Format:

Book

Author/Creator:

Cole, James B. (James Bradford), author.

Banerjee, Saswatee, author.

Contributor:

Society of Photo-Optical Instrumentation Engineers, publisher.

Series:

SPIE monograph ; PM272.

SPIE digital library

SPIE Press monograph ; PM272

Language:

English

Subjects (All):

Photonics--Mathematics.

Photonics.

Electromagnetic waves--Mathematical models.

Electromagnetic waves.

Finite differences.

Time-domain analysis.

Mathematics.

Genre:

Electronic books.

Physical Description:

1 online resource (430 pages).

Place of Publication:

Bellingham, Washington : SPIE Press, [2017]

System Details:

Mode of access: World Wide Web.

text file

Summary:

The finite difference time domain (FDTD) method computes the time evolution of a system at discrete time steps, and periodically visualizing the results lets us view the time evolution, yielding valuable physical insights. FDTD and FDTD-like methods can be used to solve a wide variety of problems, including--but not limited to--the wave equation, Maxwell's equations, and the Schrödinger equation. In addition to introducing useful new methodologies, this book provides readers with analytical background and simulation examples that will help them develop their own methodologies to solve yet-to-be-posed problems. The book is written for students, engineers, and researchers grappling with problems that cannot be solved analytically. It could also be used as a textbook for a mathematical physics or engineering class. An accompanying CD provides supplemental Mathcad and pseudocode programs.

Contents:

1. Finite difference approximations

2. Accuracy, stability, and convergence of numerical algorithms

3. Finite difference models of the simple harmonic oscillator

4. The 1D wave equation

5. FDTD Algorithms for the 1D wave equation

6. Program development and applications of FDTD algorithms in one dimension

7. FDTD algorithms to solve the wave equation in two and three dimensions

8. Review of electromagnetic theory

9. The Yee algorithm in one dimension

10. The Yee algorithm in two and three dimensions

11. Example applications of FDTD

12. FDTD for dispersive materials

13. Photonics problems

14. Photonics design

Appendix A. Supplemental research

Appendix B. List of programs.

Notes:

"SPIE Digital Library."--Website.

Includes bibliographical references.

Title from PDF title page (SPIE eBooks Website, viewed 2017-04-29).

Other Format:

Print version

ISBN:

9781510604827

1510604820

OCLC:

985882925

Access Restriction:

Restricted for use by site license.