The nonlinear fabry-perot resonator: direct numerical integration
A numerical integration method is presented for the classical anharmonic-oscillator model describing the nonlinear response of a medium to an applied optical field within the single-frequency approximation for self-action effects. The formalism is applied to an analysis of the multistability of a Fa...
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| Format: | Article |
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2001
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| author | Chew, Khian Hooi Tilley, D.R. Osman, J. |
| author_facet | Chew, Khian Hooi Tilley, D.R. Osman, J. |
| author_sort | Chew, Khian Hooi |
| collection | UM |
| description | A numerical integration method is presented for the classical anharmonic-oscillator model describing the nonlinear response of a medium to an applied optical field within the single-frequency approximation for self-action effects. The formalism is applied to an analysis of the multistability of a Fabry-Perot resonator. The optical polarization P, rather than the optical E field, is retained as the dynamical variable. We develop an algorithm for integration of the nonlinear wave equation in P and with addition of the nonlinear boundary conditions at the resonator surfaces we are able to find the transmission as a function of intensity and frequency. The formalism applies specifically to materials such as ferroelectrics with strong resonances in the far-infrared spectral region. Illustrative graphs of transmission versus incident intensity throughout the resonance region are presented. (C) 2001 Elsevier Science B.V. All rights reserved. |
| first_indexed | 2024-03-06T05:20:43Z |
| format | Article |
| id | um.eprints-8200 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:20:43Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | um.eprints-82002019-08-27T07:27:28Z http://eprints.um.edu.my/8200/ The nonlinear fabry-perot resonator: direct numerical integration Chew, Khian Hooi Tilley, D.R. Osman, J. QC Physics A numerical integration method is presented for the classical anharmonic-oscillator model describing the nonlinear response of a medium to an applied optical field within the single-frequency approximation for self-action effects. The formalism is applied to an analysis of the multistability of a Fabry-Perot resonator. The optical polarization P, rather than the optical E field, is retained as the dynamical variable. We develop an algorithm for integration of the nonlinear wave equation in P and with addition of the nonlinear boundary conditions at the resonator surfaces we are able to find the transmission as a function of intensity and frequency. The formalism applies specifically to materials such as ferroelectrics with strong resonances in the far-infrared spectral region. Illustrative graphs of transmission versus incident intensity throughout the resonance region are presented. (C) 2001 Elsevier Science B.V. All rights reserved. 2001 Article PeerReviewed Chew, Khian Hooi and Tilley, D.R. and Osman, J. (2001) The nonlinear fabry-perot resonator: direct numerical integration. Optics Communications, 191 (3-6). pp. 393-404. ISSN 0030-4018, DOI https://doi.org/10.1016/s0030-4018(01)01133-6 <https://doi.org/10.1016/s0030-4018(01)01133-6>. http://www.sciencedirect.com/science/article/pii/S0030401801011336 10.1016/s0030-4018(01)01133-6 |
| spellingShingle | QC Physics Chew, Khian Hooi Tilley, D.R. Osman, J. The nonlinear fabry-perot resonator: direct numerical integration |
| title | The nonlinear fabry-perot resonator: direct numerical integration |
| title_full | The nonlinear fabry-perot resonator: direct numerical integration |
| title_fullStr | The nonlinear fabry-perot resonator: direct numerical integration |
| title_full_unstemmed | The nonlinear fabry-perot resonator: direct numerical integration |
| title_short | The nonlinear fabry-perot resonator: direct numerical integration |
| title_sort | nonlinear fabry perot resonator direct numerical integration |
| topic | QC Physics |
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