Spatial Characterization Of Two-Photon States - GAP-Optique

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DOCTORAL THESIS IN PHOTONICS ICFO BARCELONA 2010 ICFO · THE INSTITUTE OF PHOTONIC SCIENCES AV. CANAL OLÍMPIC, S/N · CASTELLDEFELS · BARCELONA & UPC · UNIVERSITAT POLITÈCNICA DE CATALUNYA CAMPUS NORD · BARCELONA
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DOCTORAL THESIS IN PHOTONICS ICFO B
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Spatial Characterization Of Two-Pho
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Contents Contents vii Acknowledgeme
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Acknowledgements This thesis compil
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Abstract In the same way that elect
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Resumen De la misma manera que la e
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Introduction The role of photons in
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This thesis is based on the followi
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1. General description of two-photo
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CHAPTER 2 Correlations and entangle
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2.1. The purity as a correlation in
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2.2. Correlations between space and
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2.2. Correlations between space and
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2.3. Correlations between signal an
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2.3. Correlations between signal an
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Signal purity 1 0 (a) 0.1 3 2.3. Co
Page 49 and 50: CHAPTER 3 Spatial correlations and
Page 51 and 52: 3.2. OAM transfer in general SPDC c
Page 53 and 54: 3.2. OAM transfer in general SPDC c
Page 55: Phase front 3.3. OAM transfer in co
Page 58 and 59: 4. OAM transfer in noncollinear con
Page 72 and 73: 5. Spatial correlations in Raman tr
Page 81 and 82: CHAPTER 6 Summary This thesis chara
Page 83 and 84: APPENDIX A The matrix form of the m
Page 85 and 86: v =γ 2 L 2 Np sin ϕi − γ 2 L 2
Page 87: The matrix C is given by C = 1 ⎛
Page 90 and 91: B. Integrals of the matrix mode fun
Page 92 and 93: C. Methods for OAM measurements Inp
Page 94 and 95: Bibliography [13] M. Barbieri, C. C
Page 96 and 97: Bibliography [41] C. I. Osorio, A.
Page 98: Bibliography [68] S. Chen, Y.-A. Ch
Page 105: Spatial Characterization Of Two-Pho
Page 109 and 110: Contents Contents vii Acknowledgeme
Page 111 and 112: Acknowledgements This thesis compil
Page 113 and 114: Abstract In the same way that elect
Page 115 and 116: Resumen De la misma manera que la e
Page 117 and 118: Introduction The role of photons in
Page 119: This thesis is based on the followi
Page 122 and 123: 1. General description of two-photo
Page 135 and 136: CHAPTER 2 Correlations and entangle
Page 137 and 138: 2.1. The purity as a correlation in
Page 139 and 140: 2.2. Correlations between space and
Page 141 and 142: 2.2. Correlations between space and
Page 143 and 144: 2.3. Correlations between signal an
Page 145 and 146: 2.3. Correlations between signal an
Page 147 and 148: Signal purity 1 0 (a) 0.1 3 2.3. Co
Page 149 and 150:
CHAPTER 3 Spatial correlations and
Page 151 and 152:
3.2. OAM transfer in general SPDC c
Page 153 and 154:
3.2. OAM transfer in general SPDC c
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Phase front 3.3. OAM transfer in co
Page 158 and 159:
4. OAM transfer in noncollinear con
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Page 162 and 163:
Page 164 and 165:
Page 166 and 167:
Page 168 and 169:
Page 170 and 171:
Page 172 and 173:
5. Spatial correlations in Raman tr
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Page 176 and 177:
Page 178 and 179:
Page 181 and 182:
CHAPTER 6 Summary This thesis chara
Page 183 and 184:
APPENDIX A The matrix form of the m
Page 185 and 186:
v =γ 2 L 2 Np sin ϕi − γ 2 L 2
Page 187:
The matrix C is given by C = 1 ⎛
Page 190 and 191:
B. Integrals of the matrix mode fun
Page 192 and 193:
C. Methods for OAM measurements Inp
Page 194 and 195:
Bibliography [13] M. Barbieri, C. C
Page 196 and 197:
Bibliography [41] C. I. Osorio, A.
Page 198:
Bibliography [68] S. Chen, Y.-A. Ch
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