Optical Beam Characterization via Phase-Space Tomography (eBook)

Supervisor's Foreword 7
Abstract 9
Acknowledgments 10
Contents 11
1 Introduction 13
1.1 Optical Beams 17
1.2 Beam Propagation 23
1.3 Rotations in Phase Space 25
1.4 Fractional Fourier Transform 28
1.5 Tomographic Reconstruction 33
1.6 Phase-Space Tomography 35
References 37
2 Radon-Wigner Display 40
2.1 Introduction 40
2.2 Spatial Light Modulators ƒ 41
2.3 Programmable Radon-Wigner Display 45
2.4 Experimental Results 49
2.5 Conclusions 55
References 56
3 Characterization of Beams Separable in Cartesian Coordinates 58
3.1 Introduction 58
3.2 Characterization Method 59
3.3 Separability Test 61
3.4 Experimental Setups 61
3.5 Experimental Results 64
3.6 Conclusions 66
3.7 Demonstration of the Separability Test 66
References 68
4 Rotationally Symmetric Beams 70
4.1 Introduction 70
4.2 Phase-Space Tomography for RSB 71
4.3 Simulations 76
4.4 Experimental Results 80
4.5 Conclusions 82
4.6 Simplification of RSB Characterization 83
4.7 AF of a LG Mode 85
4.8 Demonstration of the Rotationally Symmetry Test 88
References 89
5 General Beams 91
5.1 Introduction 91
5.2 Phase Space Tomographic Coherenscopy 92
5.3 Experimental Setup for PSTC Realization 96
5.4 Characterization of Coherent Beams 100
5.5 Characterization of Partially Coherent Beams 105
5.6 Conclusions 113
5.7 MI Reconstruction from Projection Subset for ?=0 114
5.8 Beam at the SLM Input Plane 115
References 116
6 Conclusions 118
References 121
About the Author 122