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

References92Fundamental 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

References153Spectral 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

References634Compact 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

References725Photonic Glass Fiber Lasers74