Mathematical Optics

5	Solutions of Paraxial Equations and Families of Gaussian Beams
Eugeny Abramochkin, Tatiana Alieva, and José A. Rodrigo

CONTENTS

5.1      Introduction

5.2      Method of Integral Fourier Transform

5.3      Beam Propagation through First-Order Optical Systems

5.4      Method of Commuting Differential Operators

5.4.1    Cartesian Coordinates and Hermite–Gaussian Beams

5.4.2    Complex Coordinates and Laguerre–Gaussian Beams

5.4.3    Differential Operators of the First Order Commuting with L

5.4.4    Hermite–Laguerre–Gaussian Beams

5.5      Stable Beams

5.6      Auto-Reciprocal Beams

5.7      Spiral Beams

5.8      Applications of Gaussian Beams

Acknowledgments

References

5.1      INTRODUCTION

Generation of coherent monochromatic optical ...