This paper presents a simple numerical method for calculating the stationary transmission and reflection characteristics of a variety of nonlinear Fably-Perot resonators. In nonlinear media, Maxwell's equations are directly solved by using a numerical integration of complex variables. The input-output characteristics of the Kerr-like nonlinear film without reflection mirrors and with multilayer mirrors have been calculated to demonstrate the usefulness and versatility of the proposed method and to find out resonator configurations exhibiting optical bistability at low incident-power levels. The effects of saturation in the nonlinear permittivity on the input-output characteristics have also been investigated. It has been found that a single nonlinear film with oblique incidence exhibits optical bistability without using reflection mirrors even if the refractive index of the film is low. This offers a simple method for measuring third-order nonlinearities of optical materials.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Kazuhiko OGUSU, "Numerical Analysis of Optical Bistability in a Variety of Nonlinear Fabry-Perot Resonators" in IEICE TRANSACTIONS on Electronics,
vol. E76-C, no. 6, pp. 1000-1006, June 1993, doi: .
Abstract: This paper presents a simple numerical method for calculating the stationary transmission and reflection characteristics of a variety of nonlinear Fably-Perot resonators. In nonlinear media, Maxwell's equations are directly solved by using a numerical integration of complex variables. The input-output characteristics of the Kerr-like nonlinear film without reflection mirrors and with multilayer mirrors have been calculated to demonstrate the usefulness and versatility of the proposed method and to find out resonator configurations exhibiting optical bistability at low incident-power levels. The effects of saturation in the nonlinear permittivity on the input-output characteristics have also been investigated. It has been found that a single nonlinear film with oblique incidence exhibits optical bistability without using reflection mirrors even if the refractive index of the film is low. This offers a simple method for measuring third-order nonlinearities of optical materials.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e76-c_6_1000/_p
Copy
@ARTICLE{e76-c_6_1000,
author={Kazuhiko OGUSU, },
journal={IEICE TRANSACTIONS on Electronics},
title={Numerical Analysis of Optical Bistability in a Variety of Nonlinear Fabry-Perot Resonators},
year={1993},
volume={E76-C},
number={6},
pages={1000-1006},
abstract={This paper presents a simple numerical method for calculating the stationary transmission and reflection characteristics of a variety of nonlinear Fably-Perot resonators. In nonlinear media, Maxwell's equations are directly solved by using a numerical integration of complex variables. The input-output characteristics of the Kerr-like nonlinear film without reflection mirrors and with multilayer mirrors have been calculated to demonstrate the usefulness and versatility of the proposed method and to find out resonator configurations exhibiting optical bistability at low incident-power levels. The effects of saturation in the nonlinear permittivity on the input-output characteristics have also been investigated. It has been found that a single nonlinear film with oblique incidence exhibits optical bistability without using reflection mirrors even if the refractive index of the film is low. This offers a simple method for measuring third-order nonlinearities of optical materials.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Numerical Analysis of Optical Bistability in a Variety of Nonlinear Fabry-Perot Resonators
T2 - IEICE TRANSACTIONS on Electronics
SP - 1000
EP - 1006
AU - Kazuhiko OGUSU
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E76-C
IS - 6
JA - IEICE TRANSACTIONS on Electronics
Y1 - June 1993
AB - This paper presents a simple numerical method for calculating the stationary transmission and reflection characteristics of a variety of nonlinear Fably-Perot resonators. In nonlinear media, Maxwell's equations are directly solved by using a numerical integration of complex variables. The input-output characteristics of the Kerr-like nonlinear film without reflection mirrors and with multilayer mirrors have been calculated to demonstrate the usefulness and versatility of the proposed method and to find out resonator configurations exhibiting optical bistability at low incident-power levels. The effects of saturation in the nonlinear permittivity on the input-output characteristics have also been investigated. It has been found that a single nonlinear film with oblique incidence exhibits optical bistability without using reflection mirrors even if the refractive index of the film is low. This offers a simple method for measuring third-order nonlinearities of optical materials.
ER -