Effect of laser amplitude and phase fluctuations on optical bistability

Journal Article · Wed Feb 01 04:00:00 EST 1984 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.29.774· OSTI ID:6610610

Willis, C R

A generalized Fokker-Planck equation is derived for a system undergoing optical bistability when the dominant source of fluctuations is due to fluctuations in the incident field rather than spontaneous emission. The fluctuations are treated as a time-dependent Gaussian process whose properties are determined by the individual laser's characteristics. Both amplitude and phase fluctuations are included on the incident laser field. The effect of fluctuations of the incident laser on optical bistability are different for amplitude and phase fluctuations and are different for absorptive and dispersive optical bistability. The combination of incident laser phase fluctuations and dispersive optical bistability leads to large amplitude fluctuations near the turning points of the optical bistability curve and causes the system to make a transition from one branch of the optical bistability curve to the other before reaching the mean-field turning points. We take the high-Q cavity limit of our generalized Fokker-Planck equation, solve the linearized equations, and provide criteria for the magnitude of fluctuations in optical bistability in terms of laser and cavity parameters. The magnitude of incident laser fluctuations are typically orders of magnitude larger than fluctuations due to spontaneous emission and are therefore important for practical applications of optical bistability devices.

• Research Organization: Physics Department, Boston University, Boston, Massachusetts 02215
• OSTI ID: 6610610
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 29:2; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
AMPLITUDES
CAVITY RESONATORS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FLUCTUATIONS
FOKKER-PLANCK EQUATION
GAUSSIAN PROCESSES
INTERACTIONS
LASERS
OPTICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PHASE STABILITY
PHYSICAL PROPERTIES
RESONATORS
STABILITY
TIME DEPENDENCE
VARIATIONS