|
Representations of the Polarization of Beamlike Fields |
|
|
1 | (36) |
|
|
1 | (1) |
|
Standard Representations of the Polarization |
|
|
1 | (9) |
|
|
2 | (2) |
|
Coherence-Polarization Matrices |
|
|
4 | (2) |
|
The Stokes-Muller Calculus |
|
|
6 | (2) |
|
Local Degree of Polarization |
|
|
8 | (2) |
|
Weighted Degree of Polarization |
|
|
10 | (1) |
|
Linear and Circular Polarization Content of Totally Polarized Beams |
|
|
11 | (5) |
|
Key Definitions and Physical Meaning |
|
|
12 | (1) |
|
Application to an Example |
|
|
13 | (2) |
|
|
15 | (1) |
|
Radial and Azimuthal Polarization Content of Totally Polarized Beams |
|
|
16 | (8) |
|
|
16 | (3) |
|
Relations with the Stokes Parameters |
|
|
19 | (1) |
|
Relations with the Output of Radial and Azimuthal Polarizers |
|
|
20 | (1) |
|
|
21 | (3) |
|
Partially Polarized Gaussian Schell-Model Beams |
|
|
24 | (8) |
|
Gaussian Schell-Model Beams: Scalar Case |
|
|
24 | (2) |
|
Gaussian Schell-Model Beams: Vectorial Case |
|
|
26 | (2) |
|
The Van Cittert-Zernike Theorem |
|
|
28 | (3) |
|
Experimental Synthesis of GSM fields |
|
|
31 | (1) |
|
|
32 | (5) |
|
Second-Order Overall Characterization of Non-uniformly Polarized Light Beams |
|
|
37 | (56) |
|
|
37 | (1) |
|
Second-Order Overall Characterization: Scalar Case |
|
|
38 | (6) |
|
Formalism and Key Definitions |
|
|
38 | (5) |
|
Propagation and Measurement of the Irradiance Moments |
|
|
43 | (1) |
|
Second-Order Overall Characterization: Vectorial Case |
|
|
44 | (10) |
|
|
44 | (1) |
|
|
45 | (3) |
|
Propagation Laws and Measurement |
|
|
48 | (3) |
|
|
51 | (3) |
|
Generalized Degree of Polarization |
|
|
54 | (9) |
|
Definition and Properties of Generalized Degree of Polarization |
|
|
54 | (1) |
|
Physical Meaning and Measurement |
|
|
55 | (3) |
|
Generalized Degree of Polarization of Beams Emerging from Optically-Pumped Nd:YAG Rods |
|
|
58 | (4) |
|
Classification Scheme of Partially Polarized Beams |
|
|
62 | (1) |
|
Beam Quality Parameter of Partially Polarized fields |
|
|
63 | (2) |
|
Overall Parametric Characterization of PGSM Beams |
|
|
65 | (4) |
|
Beam Quality Improvement: General Considerations |
|
|
69 | (6) |
|
Beam Quality Improvement After Propagation Through Optical Phase Devices |
|
|
75 | (9) |
|
Propagation Through Anisotropic Pure-Phase Plates |
|
|
76 | (2) |
|
Propagation of Radially and Azimuthally Polarized Beams Through Quartic Phase Plates |
|
|
78 | (4) |
|
Propagation Through Spiral Phase Elements |
|
|
82 | (2) |
|
Global Beam Shaping with Non-uniformly Polarized Beams |
|
|
84 | (4) |
|
|
88 | (5) |
|
Polarization and Coherence of Random Electromagnetic Fields |
|
|
93 | (34) |
|
|
93 | (1) |
|
|
94 | (4) |
|
Spectral Degree of Coherence |
|
|
94 | (2) |
|
Young's Interference Experiment |
|
|
96 | (2) |
|
Vectorial Framework: Key Definitions |
|
|
98 | (9) |
|
Young's Experiment Revisited |
|
|
98 | (2) |
|
Degrees of Coherence of Random Electromagnetic Fields |
|
|
100 | (3) |
|
Relation Between Degrees of Coherence of Electromagnetic Fields |
|
|
103 | (4) |
|
Maximum Visibility Under Unitary Transformations |
|
|
107 | (5) |
|
Position-Independent Stochastic Behavior of Random Electromagnetic Fields |
|
|
112 | (6) |
|
Mean-Square Coherent Light: Maximum Young's Fringe Visibility Through Reversible Devices |
|
|
118 | (4) |
|
Comparing Special Types of Random Electromagnetic Fields |
|
|
122 | (2) |
|
|
124 | (3) |
|
Non-Paraxial Electromagnetic Beams |
|
|
127 | (54) |
|
|
127 | (1) |
|
Formalism and Key Definitions |
|
|
128 | (8) |
|
Angular Plane-Wave Spectrum |
|
|
128 | (3) |
|
Propagating and Evanescent Waves |
|
|
131 | (1) |
|
TE- and TM-Decomposition of the Propagating Field |
|
|
131 | (3) |
|
Significance of the Longitudinal Field Component |
|
|
134 | (2) |
|
Propagation of Non-paraxial Beams with Radial or Azimuthal Polarization Distribution at a Transverse Plane |
|
|
136 | (15) |
|
Radial and Azimuthal Components |
|
|
136 | (2) |
|
Radial Case: Free-Space Propagation |
|
|
138 | (4) |
|
Azimuthal Case: Free-Space Propagation |
|
|
142 | (3) |
|
Application to a Particular Set of Fields |
|
|
145 | (3) |
|
Radially-Polarized Fields at Any Transverse Plane |
|
|
148 | (3) |
|
|
151 | (14) |
|
|
151 | (1) |
|
Application to the Uniformly-Polarized Gaussian Model |
|
|
152 | (5) |
|
Transverse Polarization Structure of the Closest Field Associated to the Gaussian Model |
|
|
157 | (4) |
|
|
161 | (4) |
|
Evanescent Waves Associated to Highly Non-paraxial Beams |
|
|
165 | (7) |
|
|
165 | (2) |
|
|
167 | (5) |
|
Partially Coherent Electromagnetic TE-Fields |
|
|
172 | (5) |
|
|
177 | (4) |
Index |
|
181 | |