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Universal Single-Mode Lasing in Fully Chaotic Billiard Lasers
Mengyu You1, Daisuke Sakakibara1, Kota Makino1
1Department of Applied Physics, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan.
Entropy (Basel, Switzerland)
|November 24, 2022
Summary
Single-mode lasing is stable in chaotic billiard lasers, while multi-mode lasing is stable in integrable ones. This behavior, driven by mode-interaction and shape deformation, is a universal phenomenon in chaotic systems.
Area of Science:
- Physics
- Nonlinear Dynamics
- Quantum Optics
Background:
- Billiard lasers exhibit complex lasing dynamics.
- Understanding mode stability is crucial for laser design and application.
Purpose of the Study:
- To investigate the stability of single-mode and multi-mode lasing states in chaotic and integrable billiard lasers.
- To elucidate the underlying nonlinear mechanisms governing mode stability.
Main Methods:
- Numerical simulations of fully chaotic and integrable billiard lasers.
- Experimental validation of simulation results.
- Analysis of mode-interaction and billiard shape deformation effects.
Main Results:
- Single-mode lasing states are stable in fully chaotic billiard lasers under specific conditions (large size, high pumping power).
- Multi-mode lasing states are unstable in fully chaotic billiard lasers.
- Conversely, multi-mode lasing states are stable, and single-mode states are unstable in integrable billiard lasers.
- Single-mode lasing is identified as a universal phenomenon for fully chaotic billiard lasers across various shapes.
Conclusions:
- The interplay between active lasing medium nonlinearities and billiard shape deformation dictates mode stability.
- Chaotic dynamics promote stable single-mode operation, a robust phenomenon in billiard lasers.

