Spatial Characterization Of Two-Photon States - GAP-Optique

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Spatial Characterization Of Two-Photon States Clara Inés Osorio Tamayo under the supervision of Dr. Juan P. Torres submitted this thesis in partial fulfillment of the requirements for the degree of Doctor by the Universitat Politècnica de Catalunya Barcelona, September 2009
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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
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CHAPTER 3 Spatial correlations and
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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 103: 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
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Phase front 3.3. OAM transfer in co
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4. OAM transfer in noncollinear con
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5. Spatial correlations in Raman tr
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CHAPTER 6 Summary This thesis chara
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APPENDIX A The matrix form of the m
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v =γ 2 L 2 Np sin ϕi − γ 2 L 2
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The matrix C is given by C = 1 ⎛
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B. Integrals of the matrix mode fun
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C. Methods for OAM measurements Inp
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Bibliography [13] M. Barbieri, C. C
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Bibliography [41] C. I. Osorio, A.
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Bibliography [68] S. Chen, Y.-A. Ch
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