Exact modelling of the optical bistability in ferroelectics via two-wave mixing

A system with full nonlinearity

Muhammad Asif A. Khushaini, Abdel Baset M.A. Ibrahim, Pankaj Kumar Choudhury

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we provide a complete mathematical model of the phenomenon of optical bistability (OB) resulting from the degenerate two-wave mixing (TWM) process of laser beams interacting with a single nonlinear layer of ferroelectric material. Starting with the electromagnetic wave equation for optical wave propagating in nonlinear media, a nonlinear coupled wave (CW) system with both self-phase modulation (SPM) and cross-phase modulation (XPM) sources of nonlinearity are derived. The complete CW system with full nonlinearity is solved numerically and a comparison between both the cases of with and without SPM at various combinations of design parameters is given. Furthermore, to provide a reliable theoretical model for the OB via TWM process, the results obtained theoretically are compared with the available experimental data. We found that the nonlinear system without SPM fails to predict the bistable response at lower combinations of the input parameters. However, at relatively higher values, the solution without SPM shows a reduction in the switching contrast and period in the OB response. A comparison with the experimental results shows better agreement with the system with full nonlinearity.

Original languageEnglish
Title of host publication3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017
PublisherAmerican Institute of Physics Inc.
Volume1958
ISBN (Electronic)9780735416598
DOIs
Publication statusPublished - 9 May 2018
Event3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017 - Kuala Lumpur, Malaysia
Duration: 24 Oct 201725 Oct 2017

Other

Other3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017
CountryMalaysia
CityKuala Lumpur
Period24/10/1725/10/17

Fingerprint

optical bistability
phase modulation
nonlinearity
ferroelectric materials
nonlinear systems
wave equations
mathematical models
electromagnetic radiation
laser beams

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Khushaini, M. A. A., Ibrahim, A. B. M. A., & Choudhury, P. K. (2018). Exact modelling of the optical bistability in ferroelectics via two-wave mixing: A system with full nonlinearity. In 3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017 (Vol. 1958). [020035] American Institute of Physics Inc.. https://doi.org/10.1063/1.5034566

Exact modelling of the optical bistability in ferroelectics via two-wave mixing : A system with full nonlinearity. / Khushaini, Muhammad Asif A.; Ibrahim, Abdel Baset M.A.; Choudhury, Pankaj Kumar.

3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017. Vol. 1958 American Institute of Physics Inc., 2018. 020035.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Khushaini, MAA, Ibrahim, ABMA & Choudhury, PK 2018, Exact modelling of the optical bistability in ferroelectics via two-wave mixing: A system with full nonlinearity. in 3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017. vol. 1958, 020035, American Institute of Physics Inc., 3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017, Kuala Lumpur, Malaysia, 24/10/17. https://doi.org/10.1063/1.5034566
Khushaini MAA, Ibrahim ABMA, Choudhury PK. Exact modelling of the optical bistability in ferroelectics via two-wave mixing: A system with full nonlinearity. In 3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017. Vol. 1958. American Institute of Physics Inc. 2018. 020035 https://doi.org/10.1063/1.5034566
Khushaini, Muhammad Asif A. ; Ibrahim, Abdel Baset M.A. ; Choudhury, Pankaj Kumar. / Exact modelling of the optical bistability in ferroelectics via two-wave mixing : A system with full nonlinearity. 3rd International Conference on the Science and Engineering of Materials, ICoSEM 2017. Vol. 1958 American Institute of Physics Inc., 2018.
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