## Book description

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.

1. Cover Page
2. Half Title
3. Title Page
5. Contents
6. Preface
7. 1 Introduction
8. 2 Scattering Matrix Method for Multiblock Structures
1. 2.1 Scattering Matrix Analysis of Finite Single-Block Structures
1. 2.1.1 Eigenmode Analysis
2. 2.1.2 S-Matrix and Coupling Coefficient Operator Calculation of a Single Block
3. 2.1.3 Field Visualization
2. 2.2 Scattering Matrix Analysis of Collinear Multiblock Structures
1. 2.2.1 Two-Block Interconnection
2. 2.2.2 N-Block Interconnection with Parallelism
3. 2.2.3 Half-Infinite Block Interconnection
4. 2.2.4 Field Visualization
3. 2.3 MATLAB® Implementation
9. 3 Fourier Modal Method
1. 3.1 Fourier Modal Analysis of Single-Block Structures
2. 3.2 Fourier Modal Analysis of Collinear Multiblock Structures
1. 3.2.1 Two-Block Interconnection
2. 3.2.2 N-Block Interconnection with Parallelism
3. 3.2.3 Half-Infinite Block Interconnection
4. 3.2.4 Field Visualization
3. 3.3 MATLAB® Implementation
4. 3.4 Applications
10. 4 A Perfect Matched Layer for Fourier Modal Method
1. 4.1 An Absorbing Boundary Layer for Fourier Modal Method
2. 4.2 Nonlinear Coordinate Transformed Perfect Matched Layer for Fourier Modal Method
1. 4.2.1 Mathematical Model
2. 4.2.2 MATLAB® Implementation
3. 4.3 Applications
11. 5 Local Fourier Modal Method
1. 5.1 Local Fourier Modal Analysis of Single-Super-Block Structures
2. 5.2 Local Fourier Modal Analysis of Collinear Multi-Super-Block Structures
1. 5.2.1 Field Visualization
3. 5.3 MATLAB® Implementation
4. 5.4 Applications
12. 6 Perspectives on the Fourier Modal Method
13. References
14. Index

## Product information

• Title: Fourier Modal Method and Its Applications in Computational Nanophotonics
• Author(s): Hwi Kim, Junghyun Park, Byoungho Lee
• Release date: December 2017
• Publisher(s): CRC Press
• ISBN: 9781351834476