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Analytical modelling of active integrated resonators

Analytical modelling of active integrated resonators

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In this paper, we will focus on investigations on steady-state behaviour in the spectral domain.

Chapter Contents:

  • 3.1 Material and structural parameters
  • 3.1.1 From material to modal optical properties
  • 3.1.2 Energy balance and rate equations
  • Ideal three-level system
  • Ideal four-level system
  • Open two-level system
  • The special case of semiconductors
  • 3.2 Transfer matrix formalism and scattering parameters
  • 3.2.1 Classical (2X2) transfer matrix formalism
  • 3.2.2 Complex reflectance and transmittance
  • 3.2.3 Partial matrices and internal fields
  • 3.2.4 Scattering parameters
  • 3.3 Some classical resonators
  • 3.3.1 Fabry–Pérot resonator
  • 3.3.2 Distributed Bragg reflector (DBR) and distributed feedback (DFB)
  • 3.3.3 Quarter-wave-shifted DBR or DFB (QWS-DBR or QWS-DFB)
  • 3.3.4 Ring-like topology: the micro-ring resonator (MRR)
  • 3.4 Oscillation condition: threshold and beyond
  • 3.4.1 Matrix oscillation condition
  • 3.4.2 FPR threshold condition
  • 3.4.3 DFB threshold condition
  • 3.4.4 QWS-DFB threshold condition
  • 3.4.5 MRR threshold condition
  • 3.4.6 Laser emission (above threshold)
  • 3.5 Amplified spontaneous emission
  • 3.5.1 Extended (3x3) transfer matrix formalism
  • 3.5.2 Active FPR
  • 3.5.3 Active DFB
  • 3.5.4 Active MRR
  • 3.5.5 Multisection structures
  • 3.6 Conclusion, possible extensions, and perspectives
  • Appendix A Codirectional coupler
  • Appendix B Partial matrices and source terms in an index-coupled DFB
  • Appendix C Glossary (acronyms used in the text)
  • References

Inspec keywords: integrated optics; optical resonators

Other keywords: analytical modelling; steady-state behaviour; active integrated resonators; spectral domain

Subjects: Optical elements, devices and systems; Integrated optics; Integrated optics; Textbooks

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