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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...

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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.

Keywords:

billiard lasers microcavity lasers quantum chaos

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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.