Mathematical Optics

6	The Decomposition Method to Solve Differential Equations Optical Applications
Vasudevan Lakshminarayanan, Sudipta Nandy, and Raghavendra Sridhar

CONTENTS

6.1      Introduction

6.2      Linear Second-Order Differential Equations

6.3      Partial Differential Equations

6.4      Nonlinear Equations

6.5      Solving Problems in Optics: The Wave Equation

6.5.1    Step-Index Waveguide

6.5.2    Parabolic-Index Waveguide

6.5.3    Eikonal Equation for GRIN Media

6.5.4    Results and Discussions

6.6      Integrable Nonlinear Equations: The Nonlinear Schrödinger Equation

6.6.1    NLS Equation for Bright Soliton

6.6.2    NLS Equation for Dark Soliton Solution

6.6.3    Higher Order Nonlinear Schrödinger Equation

6.6.3.1    HNLS Equation for Bright ...