Diploma thesis

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�� pdc package Ver: 1.0 Main package with useful functions for plotting an calculating PDC Comments and Suggestions to: Andi �� BeginPackage�"pdc‘",�"myUnits‘","myAssert‘","Notation‘","Units‘","enhancedSellmeier‘"�� Unprotect�pdchelp,getOpt,Λ,Ω,Fno,Fne,no,ne,nx,ny,nz,kwg,dk,dk2,findRootdk2,�,Α,Φgauss,Φsinc,jointSpecAm ,ΩplotjointSpecAmplitude � pdchelp::"usage"�"basic help file" getOpt::"usage"�"getOpt" Λ::"usage"�"Converts a given frequency Ω�Hertz� to the corresponding Λ�Meter�; Example: Λ�1.2 Ω::"usage"�"Converts a given wavelength Λ�Meter� to the corresponding frequency Ω�Hertz�; Example Fno::"usage"� "Temperature Dependance of the refractive index in ppln. Example: F�Temperature��30, tempScale��Units‘Celsius� Default: Temperature��25, tempScale��Units‘Celsius" Fne::"usage"� "Temperature Dependance of the refractive index in ppln. Example: F�Temperature��30, tempScale��Units‘Celsius� Default: Temperature��25, tempScale��Units‘Celsius" no::"usage"�"refractive index for the ordinary ray in ppln. Dependant on the wavelength�frequency of the incoming ray and the Temperature of the cristall Example: no�Λ�� 1550 Nano Meter,Temperature��30, tempScale��Units‘Celsius�, no�Ω�� 1.23 Peta Hertz,Temperature��30, tempScale��Units‘Celsius� Defaults: Temperature��25, tempScale��Units‘Celsius" ne::"usage"�"refractive index for the ordinary ray in ppln Example: ne�Λ�� 1550 Nano Meter,Temperature��30, tempScale��Units‘Celsius� ne�Ω�� 1.23 Peta Hertz,Temperature��30, tempScale��Units‘Celsius� Defaults: Temperature��25, tempScale��Units‘Celsius" nx::"usage"�"refractive index for the x�polarized ray in ktp Example: nx�Λ�� 1550 Nano Meter� nx�Ω�� 1.23 Peta Hertz� Defaults: none" ny::"usage"�"refractive index for the y�polarized ray in ktp Example: ny�Λ�� 1550 Nano Meter� ny�Ω�� 1.23 Peta Hertz� Defaults: none" nz::"usage"�"refractive index for the z�polarized ray in ktp Example: nz�Λ�� 1550 Nano Meter� nz�Ω�� 1.23 Peta Hertz� Defaults: none" noBBO::"usage"�"refractive index for the o�polarized ray in BBO Example: nz�Λ�� 1550 Nano Meter� nz�Ω�� 1.23 Peta Hertz� Defaults: none" neBBO::"usage"�"refractive index for the e�polarized ray in BBO Example: nz�Λ�� 1550 Nano Meter� nz�Ω�� 1.23 Peta Hertz� Defaults: none"
2 pdc.m kwg::"usage"�"Calculates the length of the k�vector in a waveguide Example: kwg�sellmeier��no, Λ�� 1550 Nano Meter, wgwidth�� 4 Micro Meter, Temperature�� 25, tempScale kwg�sellmeier��nx, Ω�� 1.23 Peta Hertz, wgwidth�� 4 Micro Meter� Defaults: wgwidth�� 4 Micro Meter,Temperature��25, tempScale��Units‘Celsius" dk::"usage"�"Calculates the k�vector mismatch for given signal, idler photons and grating in Example: dk�np� no,ns� no,ni� no, Λs� 1550 Nano Meter, Λi � 1550 Nano Meter,�� 20 Micro Meter dk�np� no,ns� no,ni� no, Ωs� 1.23 Peta Hertz, Ωi � 1.23 Peta Hertz� Defaults: �� Infinity wgwidth�� 4 Micro MeterTemperature��25, tempScale��Units‘Celsius" �::"usage"�"Calculates the phase mismatch for given signal, idler photons Example: ��np� no,ns� no,ni� no, Λp� 775 Nano Meter, Λs� 1550 Nano Meter, Λi � 1550 Nano Meter ��np� no,ns� no,ni� no, Ωp� 2.46 Peta Hertz, Ωs� 1.23 Peta Hertz, Ωi � 1.23 Peta Hertz Defaults: �� Infinity wgwidth�� 4 Micro MeterTemperature��25, tempScale��Units‘Celsius" Α::"usage"�"Modelling of the pump as a Gaussian Puls Example: Α�Λp� 775 Nano Meter, Λs� 1550 Nano Meter, Λi � 1550 Nano Meter, Λpwidth� 10 Nano Meter Α�Ωp� 2.46 Peta Hertz, Ωs� 1.33 Peta Hertz, Ωi � 1.22 Peta Hertz , Ωpwidth� 0.01 Peta Defaults: none" Φgauss::"usage"�"Phasematching Function. Simplifyed to gaussian Example: Φsinc�np� ne,ns� no,ni� no, Λs� 1550 Nano Meter, Λi � 1550 Nano Meter,�� 23.8 Micro Φsinc�np� ne,ns� no,ni� no, Ωs� 1.23 Peta Hertz, Ωi � 1.23 Peta Hertz,�� 23.8 Micro Defaults: wglength�� 5 Milli Meter �� Infinity wgwidth�� 4 Micro MeterTemperature��25, tempScale Φsinc::"usage"�"Phasematching Function Example: Φsinc�np� ne,ns� no,ni� no, Λs� 1550 Nano Meter, Λi � 1550 Nano Meter,�� 23.8 Micro Φsinc�np� ne,ns� no,ni� no, Ωs� 1.23 Peta Hertz, Ωi � 1.23 Peta Hertz,�� 23.8 Micro Defaults: wglength�� 5 Milli Meter �� Infinity wgwidth�� 4 Micro MeterTemperature��25, tempScale jointSpecAmplitude::"usage"�"Spectral distribution function Example: f�np� ne,ns� no,ni� no,Ωp� 2.45 Peta Hertz, Ωs� 1.24 Peta Hertz, Ωi � 1.24 Peta Hertz f�np� ne,ns� no,ni� no,Λp� 775 Nano Meter, Λs� 1450 Nano Meter, Λi � 1450 Nano Meter Defaults: wglength�� 5 Milli Meter �� Infinity wgwidth�� 4 Micro MeterTemperature��25, tempScale jointSpecAmplitudeSinc::"usage"�"Spectral distribution function" jointSpecIntensity::"usage"�"Spectral distribution function Example: f�np� ne,ns� no,ni� no,Ωp� 2.45 Peta Hertz, Ωs� 1.24 Peta Hertz, Ωi � 1.24 Peta Hertz f�np� ne,ns� no,ni� no,Λp� 775 Nano Meter, Λs� 1450 Nano Meter, Λi � 1450 Nano Meter Defaults: wglength�� 5 Milli Meter �� Infinity wgwidth�� 4 Micro MeterTemperature��25, tempScale findRootdk2::"usage"�"Do not use." dk2::"usage"�"Do not use" ΛfilterSignal::"usage"�"" ΛfilterIdler::"usage"�"" ΩfilterSignal::"usage"�"" ΩfilterIdler::"usage"�"" Null
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Towards a pure heralded single phot
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ii A.2 id201 programming . . . . .
Page 6 and 7:
Chapter 1. Overview 2
Page 8 and 9:
experimental data. This thesis is d
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a nonlinear, nonmagnetic material,
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Figure 3.3: Parametric down convers
Page 14 and 15:
For the volume integration, we rest
Page 16 and 17:
Figure 3.5: 1D square-wave periodic
Page 18 and 19:
and 3.10). Figure 3.9: 0-0 waveguid
Page 20 and 21: By inserting the corresponding term
Page 22 and 23: Λi phasematching Λs Figure 3.18:
Page 24 and 25: pump mode → signal mode + idler m
Page 26 and 27: Hence, we have to ensure a separabl
Page 28 and 29: 3.2.2 Frequency entanglement of two
Page 30 and 31: 3.3 Generating pure heralded single
Page 32 and 33: Material: KTP Polarizations: y →
Page 34 and 35: Material: KTP Polarizations: y →
Page 36 and 37: 32 Ωi�PHz� 1.26 1.23 1.2 Φ
Page 38 and 39: The first appealing feature of coun
Page 40 and 41: Ωi�PHz� 0.10 0.05 1.22 1.215
Page 42 and 43: 38 Figure 3.53: Different pump freq
Page 45 and 46: 4 Experiment 4.1 Avalanche photodio
Page 47 and 48: kcounts / second 0.14 0.12 0.1 0.08
Page 49 and 50: kcounts per second 180 160 140 120
Page 51 and 52: or z-polarization, and we are left
Page 53 and 54: Gaussian functions. The result is a
Page 55 and 56: that the phasematching point was sh
Page 57 and 58: this two dimension plane on the bla
Page 59 and 60: plotted in Appendix A.4.3. Shg powe
Page 61 and 62: kSHG(762.5nm) 14.5506/ µm kp1(1525
Page 63 and 64: kSHG(762.5nm) 14.2703/ µm kp1(1525
Page 65 and 66: Outlook measurement signal counts/s
Page 67: This is the silliest stuff that eve
Page 72 and 73: �� this is a list of all variab
Page 74 and 75: ��refracrtive index of the o�
Page 76 and 77: ��Begin: Sellmeier Equations fo
Page 78 and 79: optnp�getOpt�np,opts,defaults
Page 80 and 81: ��joint spectral amplitude with
Page 82 and 83: findRootdk2�opts��:�f
Page 84 and 85: ��self written assert package
Page 86 and 87: 2 myUnits.m �� 10^�11 ��
Page 88 and 89: 2 enhancedSellmeier.m ��Print
Page 90 and 91: 4 enhancedSellmeier.m iassert�opt
Page 92 and 93: 6 enhancedSellmeier.m ��extract
Page 94 and 95: 8 enhancedSellmeier.m opte � ToEx
Page 96 and 97: 10 enhancedSellmeier.m ��refrac
Page 98 and 99: 12 enhancedSellmeier.m iassert�op
Page 100 and 101: 14 enhancedSellmeier.m If�optairB
Page 102 and 103: 2 wmschmidt.m compact carrier �0,
Page 104 and 105: A.2 id201 programming The data acqu
Page 106 and 107: ��
Page 108 and 109: (EXIM LSQI EGLVMWX 0EFSV MH MH ûMH
Page 110 and 111: (EXIM LSQI EGLVMWX 0EFSV MH MH ûMH
Page 112 and 113: (EXIM LSQI EGLVMWX 0EFSV MH MH û T
Page 114 and 115: kcounts / second kcounts / second k
Page 116 and 117: kcounts / second 80 70 60 50 40 30
Page 118 and 119: kcounts per second kcounts per seco
Page 120 and 121:
E y E y -> E y E y E y -> E z E y E
Page 122 and 123:
BCT0703-B12 second measurement The
Page 124 and 125:
Shg power Pump power [a.u.] Shg pow
Page 126 and 127:
Shg power Pump power [a.u.] 90 80 7
Page 128 and 129:
Page 130 and 131:
Page 132 and 133:
ITI0706-B124 power measurement The
Page 134 and 135:
Bibliography [1] H. J. Kimble, M. D
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[25] Carlot Canalias and Valdas Pas
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Thanks ❏ To Dr. Christine Silberh
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Erklärung Gemäß §31(2) der Dipl
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Diploma thesis

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