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
• 3.1.2.1 Ideal three-level system
• 3.1.2.2 Ideal four-level system
• 3.1.2.3 Open two-level system
• 3.1.2.4 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