- Page 1: DOCTORAL THESIS IN PHOTONICS ICFO B
- Page 5: Spatial Characterization Of Two-Pho
- Page 10 and 11: Contents B Integrals of the matrix
- Page 12 and 13: When he [Kepler] found that his lon
- Page 14 and 15: Abstract The matrix notation, intro
- Page 16 and 17: Abstract La notación matricial int
- Page 18 and 19: Introduction the transfer of oam fr
- Page 21 and 22: CHAPTER 1 General description of Tw
- Page 23 and 24: y y x z z pump s i (a) signal idle
- Page 25 and 26: 1.3. Approximations and other consi
- Page 27 and 28: x 1.3. Approximations and other con
- Page 29 and 30: x Wave fronts 1.3. Approximations a
- Page 31 and 32: 1 0 -0.2 1.3. Approximations and ot
- Page 33: 1.4. The mode function in matrix fo
- Page 36 and 37: 2. Correlations and entanglement (a
- Page 38 and 39: 2. Correlations and entanglement ch
- Page 40 and 41: 2. Correlations and entanglement th
- Page 42 and 43: 2. Correlations and entanglement Fi
- Page 44 and 45: 2. Correlations and entanglement q
- Page 46 and 47: 2. Correlations and entanglement Si
- Page 48 and 49: 2. Correlations and entanglement ri
- Page 50 and 51: 3. Spatial correlations and OAM tra
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- Page 57 and 58: CHAPTER 4 OAM transfer in noncollin
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4.2. Effect of the pump beam waist
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1.0 0.0 4.2. Effect of the pump bea
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Coincidences 800 0 -4 4.2. Effect o
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Weight 1 0 4.3. Effect of the Poynt
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4.3. Effect of the Poynting vector
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Before the crystal 4.3. Effect of t
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CHAPTER 5 Spatial correlations in R
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x y z 5.1. The quantum state of Sto
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where 5.2. Orbital angular momentum
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weight 1 0.6 -180º -90º 0º 90º
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5.3. Spatial entanglement 5.20 is s
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6. Summary Experiments that explain
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A. The matrix form of the mode func
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A. The matrix form of the mode func
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APPENDIX B Integrals of the matrix
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APPENDIX C Methods for OAM measurem
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Bibliography [1] M. A. Nielsen and
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Bibliography [27] J. P. Torres, A.
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Bibliography [55] M. C. Booth, M. A
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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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1. General description of two-photo
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1. General description of two-photo
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1. General description of two-photo
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1. General description of two-photo
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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
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3.2. OAM transfer in general SPDC c
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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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4. OAM transfer in noncollinear con
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4. OAM transfer in noncollinear con
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4. OAM transfer in noncollinear con
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4. OAM transfer in noncollinear con
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4. OAM transfer in noncollinear con
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4. OAM transfer in noncollinear con
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5. Spatial correlations in Raman tr
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5. Spatial correlations in Raman tr
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5. Spatial correlations in Raman tr
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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