"Fourier Modal Method and Its Applications in Computational Nanophotonics" by Hwi Kim, Byoungho Lee, Junghyun Park

Most available books on computational electrodynamics are focused on FDTD, FEM, or other specific technique developed in microwave engineering. This is a complete guide to the principles and detailed mathematics of the up-to-date Fourier modal method of optical analysis.

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
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

Contents

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

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

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

4 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

5 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

6 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

References
Index