Prefave
1Fundamental Mathematics of Nonlinear Emission Photonic Glass Fiber and Waveguide Devices1
1.1Introduction1
1.2Newton Iteration Algorithm for Nonlinear Rate Equation Solution1
1.2.1Single Variable1
1.2.2Multi Variable3
1.3RungeKutta Algorithm for Power Propagation Equation Solution4
1.3.1Single Function4
1.3.2Multi Functions6
1.4Two Point Boundary Problem for Power Propagation Equations in a Laser Cavity7
1.4.1Principle7
1.4.2Shooting Method and Relaxation Method7
References9
2Fundamental Spectral Theory of Photonic Glasses10
2.1Introduction10
2.2JuddOfelt Theory10
2.3Transition Probability and Quantum Efficiency12
2.4Fluorescence Branch Ratio13
2.5Homogeneous and Inhomogeneous Broadening of Spectra14
References15
3Spectral Properties of Ytterbium Doped Glasses16
3.1Introduction16
3.2Formation Region of Yb2O3Containing Glasses16
3.3Laser Performance Parameters of Ytterbium Doped Glasses17
3.3.1Minimum Fraction of Excited State Ions17
3.3.2Saturation Pump Intensity18
3.3.3Minimum Pump Intensity18
3.3.4Storage Energy and Gain Parameters18
3.4Spectral Properties of Yb3+Doped Borate Glasses19
3.4.1Compositional Dependence of Spectral Properties19
3.4.2Dependence of Spectral Properties on Active Ion Concentration22
3.5Spectral Properties of Yb3+Doped Phosphate Glasses23
3.5.1Compositional Dependence of Spectral Properties23
3.5.2Dependence of Spectral Properties on Active Ion Concentration26
3.6Spectral Properties of Yb3+Doped Silicate Glasses28
3.6.1Compositional Dependence of Spectral Properties28
3.6.2Dependence of Spectral Properties on Active Ion Concentration32
3.7Spectral Properties of Yb3+Doped Germanate Glasses34
3.8Spectral Properties of Yb3+Doped Telluride Glasses36
3.8.1Compositional Dependence of Spectral Properties36
3.8.2Dependence of Spectral Properties on Active Ion Concentration39
3.9Dependence of Spectral Property and Laser Performance Parameters on Glass System43
3.9.1Dependence of Spectral Property on Glass Systems43
3.9.2Dependence of Laser Performance Parameters on Glass Systems46
3.10Dependence of Energy Level Structure of Yb3+ on Glass Systems51
3.11Cooperative Upconversion of Yb3+ Ion Pairs53
3.11.1Cooperative Upconversion Luminescence53
3.11.2Concentration Quenching Mechanics57
3.11.3Concentration Dependence of Luminescence Intensity59
3.12Fluorescence Trap Effect of Yb3+ Ions in Glasses60
References63
4Compact Fiber Amplifiers65
4.1Introduction65
4.2Level Structure and Numerical Model66
4.3Dependence of Gain and Noise Figure on Concentrations67
4.4Doping Concentrations with Short Length High Gain71
References72
5Photonic Glass Fiber Lasers74
5.1Introduction74
5.2Fundamental Physics of Fiber Laser74
5.2.1Lasing Conditions of Laser74
5.2.2Threshold Gain75
5.2.3Phase Condition and Laser Modes76
5.2.4Population Inversion Calculation76
5.3Numerical Models of Rare Earth Doped Fiber Lasers80
5.3.1Configuration and Power Propagation Equations of Fiber Laser80
5.3.2Output Power of a Two Level Fiber Laser81
5.3.3Output Power of a Three Level Fiber Laser83
5.3.4Output Power of a Four Level Fiber Laser84
5.3.5Output Power of Yb3+Doped Fiber Laser85
References90
6Broadband Fiber Amplifiers and Sources91
6.1Introduction91
6.2Pr3+Tm3+Er3+Co Doped Fiber System92
6.2.1General Rate and Power Propagation Equations with Two Wavelength Pumps92
6.2.2Gain Characteristics with 980nm Pump96
6.2.3Gain Characteristics with 793nm Pump99
6.2.4Gain Characteristics with Double Pumps105
6.3Gain Characteristics of Pr3+Er3+Co Doped Fiber System131
6.3.1Rate and Power Propagation Equations131
6.3.2Dependence of Gain on Fiber Parameters134
6.4WDM Transmission System Cascaded with Tm3+Er3+Co Doped Fiber Amplifiers139
6.4.1WDM System with Single Pump140
6.4.2WDM System with Dual Pumps141
References143
7Photonic Glass Waveguide for Spectral Conversion145
7.1Introduction145
7.2Theoretical Model and Spectral Characterization 146
7.2.1Theoretical Model 146
7.2.2Spectral Characterization 148
7.3Doubly Doped System 148
7.3.1Energy Transfer Model 149
7.3.2Quantum Efficiency of Photonic Glass Waveguide 152
7.4Triply Doped System 159
7.4.1Energy Transfer Model 159
7.4.2Quantum Efficiency of Photonic Glass Waveguide 163
7.5Performance Evaluation of sc Si Solar Cell with Photonic Glass Waveguides 171
References174
8Photonic Glass Waveguide for White Light Generation177
8.1Introduction 177
8.2White Light Glasses 178
8.2.1Tm3+Tb3+Eu3+Co Doped System 178
8.2.2Yb3+Er3+Tm3+Co Doped System 185
8.3Emission Tunable Glasses194
8.3.1Tb3+Sm3+Dy3+Co Doped System 194
8.3.2Tm3+Yb3+Ho3+Co Doped System 205
References214
Appendix 1Matlab Code for Solving Nonlinear Rate and Power Propagation Equation Groups in Co Doped Fiber Amplifiers or Fiber Sources219
A1.1Nonlinear Rate Equation Group and Coupled Power Propagation Equation Group of a Three Active Ions Co Doped System219
A1.2Code for Solving Linear Rate Equation Group220
A1.3Code for Solving Nonlinear Rate Equation Group220
A1.4Code for Variation of Gain with Fiber Length222
A1.5Code for Variation of Gain with Active Ion Concentration223
Appendix 2Matlab Code for Solving Power Propagation Equations of a Laser Cavity with Four Level System225
Index228