Subcritical Hopf bifurcation in a NMR laser with an injected signal

Journal Article · Tue Jan 31 23:00:00 EST 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.39.1549· OSTI ID:6587843

Baugher, A; Hammack, P; Lin, J

We present perturbational formulas necessary to calculate the amplitude of the rotating nuclear magnetization and its angular frequency in a ruby NMR laser with an injected signal exhibiting subcritical Hopf bifurcation (R. Holzner, B. Derighetti, M. Ravani, and E. Brun, Phys. Rev. A 36, 1280 (1987)). These formulas apply, in general, to any system reducible to a two-dimensional system with quadratic nonlinearity through application of the adiabatic elimination technique. For this laser model, in particular, we find that near the bifurcation point, the magnetization exhibits a hard transition without bistability or hysteresis.

• Research Organization: Department of Physics, Washington College, Chestertown, Maryland 21620
• OSTI ID: 6587843
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 39:3; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
AMPLITUDES
INSTABILITY
LASERS
LIMITING VALUES
MAGNETIC RESONANCE
MAGNETIZATION
NUCLEAR MAGNETIC RESONANCE
RESONANCE
RUBY LASERS
SOLID STATE LASERS