Theory of the spatial structure of non-linear modes in novel and complex laser cavities

A. Douglas Stone, Hakan E. Türeci, Li Ge, Stefan Rotter

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new formalism [1,2] for calculating exact steady-state non-linear multi-mode lasing states for complex resonators is developed and applied to conventional edge-emitting lasers and to lasers with chaotic or random cavities. The theory solves a long-standing problem in lasing theory: how to describe the multi-mode lasing states of an open cavity. Moreover it includes the effects of mode competition and spatial hole-burning to all orders within the approximation of stationary inversion. Lasing modes are expanded in terms of sets of biorthogonal "constant flux" (CF) states and satisfy a self-consistent equation. For high finesse cavities each lasing mode is proportional to one CF state which inside the cavity behaves like a linear resonance; for low finesse as in a random laser, novel composite modes are predicted which do not correspond to any passive cavity resonance.

Original languageEnglish (US)
Title of host publicationProceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007
Pages46-49
Number of pages4
DOIs
StatePublished - Dec 1 2007
Externally publishedYes
Event2007 9th International Conference on Transparent Optical Networks, ICTON 2007 - Rome, Italy
Duration: Jul 1 2007Jul 5 2007

Publication series

NameProceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007
Volume3

Other

Other2007 9th International Conference on Transparent Optical Networks, ICTON 2007
CountryItaly
CityRome
Period7/1/077/5/07

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Communication

Keywords

  • Lasers
  • Maxwell-Bloch equations
  • Multimode
  • Random lasers
  • Spatial hole-burning

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  • Cite this

    Stone, A. D., Türeci, H. E., Ge, L., & Rotter, S. (2007). Theory of the spatial structure of non-linear modes in novel and complex laser cavities. In Proceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007 (pp. 46-49). [4296241] (Proceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007; Vol. 3). https://doi.org/10.1109/ICTON.2007.4296241