Mathematical Optics

2	Wigner Distribution Moments for Beam Characterization
Tatiana Alieva, Alejandro Cámara, and Martin J. Bastiaans

CONTENTS

2.1      Introduction

2.2      Beam Description

2.3      Beam Propagation through First-Order Systems

2.4      Wigner Distribution for Optical Beam Characterization

2.5      Moments of the Wigner Distribution

2.6      Low-Order Wigner Distribution Moments

2.6.1    First-Order Moments

2.6.2    Second-Order Moments

2.7      Beam Representation on the Poincaré Sphere

2.8      Moments Expressed in Terms of Beam Mode Expansion Coefficients

2.9      Signal Analysis and Comparison

References

2.1      INTRODUCTION

Optical beam characterization is an important task for different applications such as imaging, metrology, light–matter ...