Laser Beam Shaping, 2nd Edition

5	Gaussian Beam Shaping: Diffraction Theory and Design
Fred M. Dickey and Scott C. Holswade

CONTENTS

5.1    Introduction

5.2    The Analytical Solution

5.2.1    Optical Configuration

5.2.2    Minimum Mean Square Error Formulation

5.2.3    The Uncertainty Principle

5.2.4    Stationary Phase Solution

5.2.5    Positive and Negative Solutions

5.2.6    Quadratic Phase Correction

5.3    Collimated Uniform Irradiance Beams

5.3.1    Conjugate Phase Plate

5.3.2    Relay Optics

5.4    Wavelength Dependence of the Beam Shaping Problem

5.4.1    The Fourier Transform of a Phase Element

5.4.2    Invariance of the Fresnel Integral

5.5    Design Considerations

5.5.1    Target Spot Quality

5.5.2    Modeling System Performance

5.5.3    Telescope Considerations ...