Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Steady-state and unstable behavior of a single-mode inhomogeneously broadened laser

Not Accessible

Your library or personal account may give you access

Abstract

This paper is devoted to the study of the steady-state solutions and their stability for inhomogeneously broadened, unidirectional single-mode ring lasers. For both Lorentzian and Gaussian inhomogeneous-broadening profiles we find that, for appropriate detuning of the laser cavity, as many as three nontrivial steady-state solutions may appear and provide a formal confirmation of a phenomenon termed mode splitting by Casperson and Yariv in 1970 [ Appl. Phys. Lett. 17, 259 ( 1970)]. We show through stability arguments that bistability between trivial (zero-intensity) and nontrivial solutions is possible. This bistability appears experimentally accessible. We analyze the stability of the stationary solutions, especially in connection with its dependence on the detuning and pump parameters. The instability boundary in the plane of these two control parameters can present a fairly complicated structure with alternate ranges of stability and instability. In correspondence with certain points of the instability boundary, two complex-conjugate pairs of eigenvalues of the characteristic equation become simultaneously unstable. This situation is likely to produce spontaneous oscillations with two coexisting fundamental frequencies.

© 1985 Optical Society of America

Full Article  |  PDF Article
More Like This
Properties of a Lorentz-broadened single-mode unidirectional ring laser

Paul Mandel
J. Opt. Soc. Am. B 2(1) 112-119 (1985)

Low-dimensional chaotic attractors for an unstable, inhomogeneously broadened, single-mode laser

A. M. Albano, J. Abounadi, T. H. Chyba, C. E. Searle, S. Yong, R. S. Gioggia, and N. B. Abraham
J. Opt. Soc. Am. B 2(1) 47-55 (1985)

Self-pulsing instability in inhomogeneously broadened traveling-wave lasers

Ji-yue Zhang, H. Haken, and H. Ohno
J. Opt. Soc. Am. B 2(1) 141-147 (1985)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (17)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (73)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved