1st Edition

# Fourier Modal Method and Its Applications in Computational Nanophotonics

By Hwi Kim, Junghyun Park, Byeong J. Lee Copyright 2012
326 Pages 205 B/W Illustrations
by CRC Press

326 Pages 205 B/W Illustrations
by CRC Press

326 Pages 205 B/W Illustrations
by CRC Press

Also available as eBook on:

Most available books on computational electrodynamics are focused on FDTD, FEM, or other specific technique developed in microwave engineering. In contrast, Fourier Modal Method and Its Applications in Computational Nanophotonics is a complete guide to the principles and detailed mathematics of the up-to-date Fourier modal method of optical analysis. It takes readers through the implementation of MATLAB® codes for practical modeling of well-known and promising nanophotonic structures. The authors also address the limitations of the Fourier modal method.

Features

• Provides a comprehensive guide to the principles, methods, and mathematics of the Fourier modal method
• Explores the emerging field of computational nanophotonics
• Presents clear, step-by-step, practical explanations on how to use the Fourier modal method for photonics and nanophotonics applications
• Includes the necessary MATLAB codes, enabling readers to construct their own code

Using this book, graduate students and researchers can learn about nanophotonics simulations through a comprehensive treatment of the mathematics underlying the Fourier modal method and examples of practical problems solved with MATLAB codes.

Introduction
Nanophotonics and Fourier Modal Methods
Elements of the Fourier Modal Method

Scattering Matrix Method for Multiblock Structures
Scattering Matrix Analysis of Finite Single-Block Structures
Scattering Matrix Analysis of Collinear Multiblock Structures
MATLAB Implementation

Fourier Modal Method
Fourier Modal Analysis of Single-Block Structures
Fourier Modal Analysis of Collinear Multiblock Structures
Applications

A Perfect Matched Layer for Fourier Modal Method
An Absorbing Boundary Layer for Fourier Modal Method
Nonlinear Coordinate Transformed Perfect Matched Layer for Fourier Modal Method
Applications

Local Fourier Modal Method
Local Fourier Modal Analysis of Single-Super-Block Structures
Local Fourier Modal Analysis of Collinear Multi-Super-Block Structures
MATLAB Implementation
Applications

Perspectives on the Fourier Modal Method
Nanophotonic Network Modeling
Local Fourier Modal Analysis of Two-Port Block Structures
Local Fourier Modal Analysis of Four-Port Cross-Block Structures
Generalized Scattering Matrix Method
Concluding Remarks

### Biography

Hwi Kim, Junghyun Park and Byoungho Lee

[The authors] provide researchers and graduate students with a detailed mathematical framework for the sound numerical analysis of nanophotonics phenonema as well as the practical skills and source code required for implementing the Fourier model method on MATLAB. …
—SciTech News, Vol. 66, September 2012