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Extended Three-Level Rate Equations: Comprehensive SQWL Electric Circuit Model

This document presents an extended system of three-level rate equations that encompass five equations for electrons and photons. It describes the complete equivalent electric circuit for Strong Quantum Well Lasers (SQWL), featuring six main and binding box subcircuits. The model integrates carrier diffusion, leakage, and various recombination processes, including monomolecular, bimolecular, and Auger recombinations. The SPICE-compatible design allows for stable and convergent simulations under all operating conditions, offering insights into gain nonlinearity and parasitic effects.

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Extended Three-Level Rate Equations: Comprehensive SQWL Electric Circuit Model

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  1. CompleteModel • Extended system of three-levelrate equations • Fiveequations (fourfor electronsandoneforphotons) • Derivedcompleteequivalent electric circuit of SQWL • Sixmainbox-subcircuitandsixbinding box-subcircuit • Formed stabileandconvergent SPICE program • Give possibilities for simulation SQWL in all three operating conditions

  2. ExtendedSystem of Three-level Rate Equations– Included Physical Processes

  3. ExtendedSystem of Three-level Rate Equations– Included Physical Processes • Carrier diffusion from both SCH layers in gateway states and vice versa (tD, tG) • Carrier leakage beyond QW (x) • Carrier capture and emission from QW • All recombination processes • monomolecular(AS,AQW), bimolecular (BS,BQW)and Auger recombinations (CS,CQW) • Nonlinearity of gain • nonlinear gain (e) and nonlinear dependence of material gain (g ~ ln() ) • Parasitic effectsof bindings in equivalent circuit – parasiticsubcircuit

  4. ExtendedSystem of Three-level Rate Equations

  5. ExtendedSystem of Three-level Rate Equations

  6. carriers in adequate layers arm currents ; photon emission output voltage Complete Equivalent Electric Circuit of SQWL Extended system of three-level rate equations Equivalent system of current equations

  7. Complete Equivalent Electric Circuit of SQWL Equivalent system of current equations Kirchhoff ‘s laws Complete equivalent electric circuit of SQWL

  8. Complete Equivalent Electric Circuit of SQWL photon emission gateway states parasiticsubcircuit QW SCH layers

  9. Complete Equivalent Electric Circuit of SQWL– Subcircuit forLeft SCH1Layer

  10. Complete Equivalent Electric Circuit of SQWL – Subcircuit forRight SCH2Layer

  11. Complete Equivalent Electric Circuit of SQWL – Subcircuit forGateway States

  12. Complete Equivalent Electric Circuit of SQWL – Subcircuit forQW

  13. Complete Equivalent Electric Circuit of SQWL – Subcircuit forOutput Photon Emission

  14. Complete Equivalent Electric Circuit of SQWL – ParasiticSubcircuit

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