Study of dynamics in a NH3 laser using Zeghlach-Mandel model

Senlin Yan

doi:10.1117/12.3010785

1 November 2023 Study of dynamics in a NH₃ laser using Zeghlach-Mandel model

Senlin Yan

Proceedings Volume 12917, International Conference on Precision Instruments and Optical Engineering (PIOE 2023); 1291710 (2023) https://doi.org/10.1117/12.3010785
Event: 3rd International Conference on Precision Instruments and Optical Engineering (PIOE 2023), 2023, Shanghai, China

Abstract

This reports out studies of dynamics and bifurcation in a NH3 laser using Zeghlach-Mandel model. We analyse theoretically dynamics stability of the laser in the three stable state using the eigenvalue equation, and give numerical discussions of dynamics stability of the laser in the three stable state using the eigenvalue. We find that there is the exponential contraction of the phase space volume element of the laser. The dynamical evolvement starting at a stable state through a periodic bifurcation to chaos is analyzed via the bifurcation diagram to give a path to chaos through quasi-periodic bifurcation scenario with different starting values. Numerical bifurcation diagram exhibits quasi-periodic bifurcation from a stable state by adjusting the pump rates. It can be clearly found that the laser moves around its unmovement points and is eventually attracted to one of the points, and it is sensitive to the initial value. The chaotic region and quasi-periodic bifurcation region are found. The movement orbits of a stationary state, quasi-period, and chaos are numerically exhibited to show rich nonlinear dynamic behaviors. The laser gives an important value to study laser systems, chaotic optics emitters, random optics signal generators, precision optics measuring devices, and optic encoding communications.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Senlin Yan "Study of dynamics in a NH₃ laser using Zeghlach-Mandel model", Proc. SPIE 12917, International Conference on Precision Instruments and Optical Engineering (PIOE 2023), 1291710 (1 November 2023); https://doi.org/10.1117/12.3010785

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available