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Nonlinear finite-difference time-domain method for the simulation of anisotropic, χ^(2), and χ^(3) optical effects

Reinke, Charles M. and Jafarpour, Aliakbar and Momeni, Babak and Soltani, Mohammad and Khorasani, Sina and Adaibi, Ali and Xu, Yong and Lee, Reginald K. (2006) Nonlinear finite-difference time-domain method for the simulation of anisotropic, χ^(2), and χ^(3) optical effects. Journal of Lightwave Technology, 24 (1). pp. 624-634. ISSN 0733-8724. http://resolver.caltech.edu/CaltechAUTHORS:REIjlt06

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Abstract

A two-dimensional (2-D) finite-difference time-domain (FDTD) code for the study of nonlinear optical phenomena, in which both the slowly varying and the rapidly varying components of the electromagnetic fields are considered, has been developed. The algorithm solves vectorial Maxwell's equations for all field components and uses the nonlinear constitutive relation in matrix form as the equations required to describe the nonlinear system. The stability of the code is discussed and its effectiveness is demonstrated through the simulations of self-phase modulation (SPM) and second-harmonic generation (SHG). The authors also show that the combination of nonlinear effects with PCs can result in a significant improvement in device size and integrability, using the example of a Mach-Zehnder interferometer (MZI).


Item Type:Article
Additional Information:© Copyright 2006 IEEE. Reprinted with permission. Manuscript received November 12, 2004; revised September 9, 2005. [Posted online: 2006-02-06] This work was supported by the Office of Naval Research (J. Meyer), the Air Force Office of Scientific Research (G. Pomrenke), and by the Southeastern Center for Electrical Engineering Education. One of the authors (C. M. Reinke) thanks Lucent Technologies for their support in funding his graduate studies.
Subject Keywords:Finite-difference time domain, nonlinear optics, photonic crystals
Issue or Number:1
Record Number:CaltechAUTHORS:REIjlt06
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:REIjlt06
Alternative URL:http://dx.doi.org/10.1109/JLT.2005.859835
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8979
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:10 Oct 2007
Last Modified:26 Dec 2012 09:44

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