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Physical review. B, Condensed matter

Optical response of nonlinear planar resonators under pulsed-beam excitation

Th. Peschel, F. Lederer

Published Sep 15, 1992• 21 citations
Publisher

Abstract

A comprehensive analysis of the interaction of pulsed light beams with nonlinear planar resonators is presented, covering both arbitrary types of nonlinearity and arbitrary states of polarization of the incident field. The characteristic of the optical response is discussed in its dependence on the crucial parameters of the resonator system as well as of the input pulse. Numerical results are given for the transmission response of a multiple-film configuration under oblique incidence, which is endowed with a dynamic, saturable nonlinearity. In particular, conditions for optical bistability to occur are derived.

DOI
10.1103/physrevb.46.7632

Related papers

Comment on ‘‘Optical response of nonlinear planar resonators under pulsed-beam excitation’’

Guy Vitrant, Marc Haelterman, R. Reinisch

In a recent paper [Phys. Rev. B 46, 7632 (1992)], Peschel and Lederer consider a nonlinear planar resonator filled by a negative Kerr medium which is local but not instantaneous. In this Comment, we show that the loops reported by Peschel and Lederer, for large oblique incidence, do not correspond to bistable cycles. Indeed the noninstantaneous response of the nonlinear material and the dynamics of the fields do not lead to the feedback mechanism required for optical bistability.

Physical review. B, Condensed matter•Nov 15, 1993•5 citations

Dynamical aspects of polarization induced switching phenomena in diffusively nonlinear Fabry-Perot resonators

Jan Danckaert, Hugo Thienpont A, Irina P. Veretennicoff

The combination of polarization optics and nonlinear optics gives rise to interesting new physical phenomena1. In the work presented here we will focus on planar resonators with a nonlinearity of diffusive nature, such as the nonlinear Fabry-Perot resonator (NLFP). There are two ways to display the role of polarization in the bistable response of such a device. First, in a configuration where the light wave is obliquely incident on the resonator, as the interface's reflectances depend on the polarization state of the incident light. Second, in a configuration where the beam impinges normally on a resonator now filled with an anisotropic material, as a phase shift is induced between the linear Airy resonances of the two polarization eigenmodes. In this paper, two dynamic theories for planar resonators are presented for both configurations mentioned above, for an arbitrary polarization of the incident plane wave.

Nonlinear Dynamics in Optical Systems•Jan 1, 1992•0 citations

Polarization-induced switching and polarization bistability in nonlinear planar resonators with diffusive nonlinearity

Jan Danckaert, Hugo Thienpont A, Irina P. Veretennicoff

To merge the fields of polarization and nonlinear optics opens wide perspectives. The present work aims at investigating some of them. It is shown, on one hand, that if a nonlinear Fabry- Perot resonator filled with an optically isotropic material is addressed by an obliquely incident beam, the transmitted irradiance can switch from an up to a down state (or the reverse) if its polarization is properly modulated. If on the other hand the nonlinear cavity is filled with a linearly birefringent material, polarization optical bistability can occur, even at normal incidence. This polarization bistability can arise both by modulating the incident irradiance and by modulating the incident polarization. Optical bistability of the transmitted irradiance can also be induced by the modulation of the polarization of the incident beam. All these features provide new tools for parallel digital optical information processing.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 28, 1993•0 citations

The effect of excited leaky waves on the transient non-linear optical response of planar semiconductor resonators

F. Lederer, Thomas Peschel, Ulf Peschel

The optically non-linear response of arbitrary planar semiconductor resonators (microresonators) is studied theoretically. We use a versatile approach that takes into account the finite beam width as well as pulse length of the incident light, and incorporates the non-linearity consistently. The intensity-dependent non-linearity of semiconductors is described by appropriate phenomenological models. We show that the propagation characteristic of the leaky waves excited controls the response behaviour of the resonators. Conditions for switching and optical bistability are identified. The effect of various parameters on the response is studied numerically.

Pure and Applied Optics Journal of the European Optical Society Part A•Nov 1, 1993•8 citations

Dynamics of two-dimensional high-transmission domains in non-linear planar resonators

J Kohrell, Thomas Peschel, Ulf Peschel +1 more

Using the modal theory the optical response of a non-linear planar resonator illuminated by a genuine two-dimensional, pulsed beam is studied. We consider a defocusing Kerr-like non-linearity appearing well below the fundamental band-gap of direct semiconductors due to two-photon processes. Optical bistability is identified for normal incidence whereas it disappears if the angle of incidence of the input beam becomes comparable to the width of the resonance. No evidence for symmetry breaking could be found, whereas a pronounced beam shaping arises in the high-transmission state.

Pure and Applied Optics Journal of the European Optical Society Part A•Sep 1, 1994•0 citations

Resonatorless optical bistability in a thin semiconductor film

S L Gaivan, P. I. Khadzhi

A theoretical investigation is reported of steady-state nonlinear transmission of resonant laser radiation by a thin semiconductor film under the conditions of two-pulse generation of excitons and biexcitons. The equations of state are derived for the description of bistable behavior of the amplitudes of the transmitted pulses and of the quasiparticle concentration, depending on the parameters of the exciting fields. The criteria of existence of an optical bistability are determined.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 2, 1998•0 citations
A comprehensive analysis of the interaction of pulsed light beams with nonlinear planar resonators is presented, covering both arbitrary types of nonlinearity and arbitrary states of polarization of the incident field. The characteristic of the optical response is discussed in its dependence on the crucial parameters of the resonator system as well as of the input pulse. Numerical results are given for the transmission response of a multiple-film configuration under oblique incidence, which is endowed with a dynamic, saturable nonlinearity. In particular, conditions for optical bistability to occur are derived.
The combination of polarization optics and nonlinear optics gives rise to interesting new physical phenomena1. In the work presented here we will focus on planar resonators with a nonlinearity of diffusive nature, such as the nonlinear Fabry-Perot resonator (NLFP). There are two ways to display the role of polarization in the bistable response of such a device. First, in a configuration where the light wave is obliquely incident on the resonator, as the interface's reflectances depend on the polarization state of the incident light. Second, in a configuration where the beam impinges normally on a resonator now filled with an anisotropic material, as a phase shift is induced between the linear Airy resonances of the two polarization eigenmodes. In this paper, two dynamic theories for planar resonators are presented for both configurations mentioned above, for an arbitrary polarization of the incident plane wave.
To merge the fields of polarization and nonlinear optics opens wide perspectives. The present work aims at investigating some of them. It is shown, on one hand, that if a nonlinear Fabry- Perot resonator filled with an optically isotropic material is addressed by an obliquely incident beam, the transmitted irradiance can switch from an up to a down state (or the reverse) if its polarization is properly modulated. If on the other hand the nonlinear cavity is filled with a linearly birefringent material, polarization optical bistability can occur, even at normal incidence. This polarization bistability can arise both by modulating the incident irradiance and by modulating the incident polarization. Optical bistability of the transmitted irradiance can also be induced by the modulation of the polarization of the incident beam. All these features provide new tools for parallel digital optical information processing.
The optically non-linear response of arbitrary planar semiconductor resonators (microresonators) is studied theoretically. We use a versatile approach that takes into account the finite beam width as well as pulse length of the incident light, and incorporates the non-linearity consistently. The intensity-dependent non-linearity of semiconductors is described by appropriate phenomenological models. We show that the propagation characteristic of the leaky waves excited controls the response behaviour of the resonators. Conditions for switching and optical bistability are identified. The effect of various parameters on the response is studied numerically.
Using the modal theory the optical response of a non-linear planar resonator illuminated by a genuine two-dimensional, pulsed beam is studied. We consider a defocusing Kerr-like non-linearity appearing well below the fundamental band-gap of direct semiconductors due to two-photon processes. Optical bistability is identified for normal incidence whereas it disappears if the angle of incidence of the input beam becomes comparable to the width of the resonance. No evidence for symmetry breaking could be found, whereas a pronounced beam shaping arises in the high-transmission state.