Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Theory of a lossless nonlinear Fabry-Perot interferometer

John H. Marburger, F. S. Felber

Published Jan 1, 1978• 283 citations
Publisher

Abstract

A Fabry-Perot interferometer filled with a medium whose refractive index depends upon intensity has a multiple-valued transmission-vs-intensity characteristic. When the incident light is circularly polarized, and the nonlinearity is only cubic in the fields, Maxwell's equations may be solved exactly for the plane-parallel resonator field in terms of elliptic functions. An accurate approximate analysis is given for more general cases, including resonators with spherical mirrors and finite beams, where self-focusing is important. The theory is developed to yield design information for operation as an optical switch, "transistor," and power limiter.

DOI
10.1103/physreva.17.335

Related papers

Output property of a nonlinear Fabry-Perot interferometer

Yanyan Liu, Jun-Bo Wang, Shixiao Le +1 more

This paper discusses the output property of a Fabry-Perot interferometer filled with a nonlinear medium. Because of the optical-field-induced refractive index, the transmissivity across monochromatic beam through the interferometer depends on the distribution of the beam intensity. The output beam is different from the input. As the reflectivity of two mirrors increases, the distinction changes clear, and there is a change close to discontinue.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 6, 1994•1 citation

Theory of nonresonant multistable optical devices

F. S. Felber, John H. Marburger

We show that a Fabry-Perot interferometer filled with a Kerr medium has a multiple-valued transmission-intensity characteristic. ’’On’’ and ’’off’’ field for bistable operation are estimated, and a simple but accurate approximate theory is described.

Applied Physics Letters•Jun 15, 1976•225 citations

Signal Processing With A Nonlinear Fabry-Perot

E. Garmire

In this paper we consider the nonlinear Fabry-Perot and its applications to optical signal and image processing. This paper addresses the signal processing aspects of a nonlinear Fabry-Perot interferometer with emphasis on image processing. The device geometry is shown in Figure 1. A thin nonlinear medium, whose refractive index is a function of the light intensity inside the Fabry-Perot is sandwiched between two plane parallel mirrors. The output as a function of input is shown in Fig. 2, for two different values of the difference between the Fabry-Perot low intensity resonance and the incident wavelength. The bistable curve in 2a is the origin of the term optical bistability and makes possible an optical memory, in which the output is a function of the history of the device. The Figure 2b represents a typical nonlinear transfer curve which may be used for signal processing. It can be seen that small changes in the input intensity Ic make large changes in the output intensity.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 29, 1981•4 citations

Optical Bistability from Ferroelectric Fabry-Perot Interferometer

Abdel-Baset M.A. Ibrahim, David Reginald Tilley, Junaidah Osman

We study the nonlinear optical bistability and multistability of a nonlinear ferroelectric (FE) Fabry-Perot (FP) interferometer assumed coated with partial dielectric mirrors on its interfaces. The FE material is considered to have an intensity-dependent refractive index where the third order nonlinear susceptibility χ ilmn (3) acts like Kerr coefficient. The nonlinear response of the FE medium is modeled by the Landau-Khalatnikov (LK) dynamical equation. Within a single frequency approximation, the nonlinear wave equation is written in terms of polarization P rather than the electric field E as the dependent variable. The resulting nonlinear polarization equation is numerically integrated across the FP film using the fourth order Runge-Kutta method. The behavior of the resulting polarization and transmission as a function of the field input intensity is investigated.

Ferroelectrics•Sep 4, 2007•7 citations

OPTICAL SWITCHING AND BIST ABILITY IN A FABRY-PEROT INTERFEROMETER CONTAINING PLASMA

Zhong Quande, 中国科学院物理研究所

In this paper, the optical switching and bistability of a Fabry-Perot interferometer filled with plasma are studied theoretically. In the plane-wave approximation a equilibrium state equation which shows nonlinear transmission-intensity characteristic is derived. The critical detuning and the general formulae of "on " and "off" intensities for bistable operation are presented. A numerical example is given.

Acta Physica Sinica•Jan 1, 1985•1 citation

Polarization-induced optical switching in a single nonlinear Fabry–Perot resonator

V. Leutheuser, Udo E. Trutschel, F. Lederer

The transmission characteristic of a single nonlinear Fabry–Perot resonator, illuminated by arbitrary polarized and obliquely incident stationary plane waves, is presented. Using an analytical solution of the nonlinear wave equation, we show that the response characteristic depends strongly on the state of polarization of the input field. This effect is exploited for polarization-induced switching.

Journal of the Optical Society of America B•Jul 1, 1992•4 citations
A Fabry-Perot interferometer filled with a medium whose refractive index depends upon intensity has a multiple-valued transmission-vs-intensity characteristic. When the incident light is circularly polarized, and the nonlinearity is only cubic in the fields, Maxwell's equations may be solved exactly for the plane-parallel resonator field in terms of elliptic functions. An accurate approximate analysis is given for more general cases, including resonators with spherical mirrors and finite beams, where self-focusing is important. The theory is developed to yield design information for operation as an optical switch, "transistor," and power limiter.
In this paper we consider the nonlinear Fabry-Perot and its applications to optical signal and image processing. This paper addresses the signal processing aspects of a nonlinear Fabry-Perot interferometer with emphasis on image processing. The device geometry is shown in Figure 1. A thin nonlinear medium, whose refractive index is a function of the light intensity inside the Fabry-Perot is sandwiched between two plane parallel mirrors. The output as a function of input is shown in Fig. 2, for two different values of the difference between the Fabry-Perot low intensity resonance and the incident wavelength. The bistable curve in 2a is the origin of the term optical bistability and makes possible an optical memory, in which the output is a function of the history of the device. The Figure 2b represents a typical nonlinear transfer curve which may be used for signal processing. It can be seen that small changes in the input intensity Ic make large changes in the output intensity.
We study the nonlinear optical bistability and multistability of a nonlinear ferroelectric (FE) Fabry-Perot (FP) interferometer assumed coated with partial dielectric mirrors on its interfaces. The FE material is considered to have an intensity-dependent refractive index where the third order nonlinear susceptibility χ ilmn (3) acts like Kerr coefficient. The nonlinear response of the FE medium is modeled by the Landau-Khalatnikov (LK) dynamical equation. Within a single frequency approximation, the nonlinear wave equation is written in terms of polarization P rather than the electric field E as the dependent variable. The resulting nonlinear polarization equation is numerically integrated across the FP film using the fourth order Runge-Kutta method. The behavior of the resulting polarization and transmission as a function of the field input intensity is investigated.