Laser Beam Shaping, 2nd Edition

3	Laser Beam Splitting Gratings
Louis A. Romero and Fred M. Dickey

CONTENTS

3.1    Introduction

3.2    Fourier Optics

3.3    The Constrained Optimization Problem for Line Gratings

3.4    Some Alternative Optimization Problems

3.5    Results for Line Gratings

3.6    Experimental Results

3.7    Square Gratings

3.7.1    A Two-Dimensional Beam Splitting Problem

3.7.2    Separable and Nonseparable Solutions

3.8    The Symmetry of Beam Splitting Problems

3.8.1    Symmetry Considerations for One-Dimensional Gratings

3.8.2    Symmetry and Two-Dimensional Gratings

3.9    Beam Shaping on Hexagonal Grids

3.10  Summary

References

Appendix A

A.1    Four Beam Splitting

A.2    Five Beam Splitting

A.3    Nine Beam Splitting

Appendix B

B.1    Six Beam ...