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Nonlinear optical phenomena in silicon waveguides: modeling and applications

Lin, Q. and Painter, Oskar J. and Agrawal, Govind P. (2007) Nonlinear optical phenomena in silicon waveguides: modeling and applications. Optics Express, 15 (25). pp. 16604-16644. ISSN 1094-4087. https://resolver.caltech.edu/CaltechAUTHORS:LINoe07

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Abstract

Several kinds of nonlinear optical effects have been observed in recent years using silicon waveguides, and their device applications are attracting considerable attention. In this review, we provide a unified theoretical platform that not only can be used for understanding the underlying physics but should also provide guidance toward new and useful applications. We begin with a description of the third-order nonlinearity of silicon and consider the tensorial nature of both the electronic and Raman contributions. The generation of free carriers through two-photon absorption and their impact on various nonlinear phenomena is included fully within the theory presented here. We derive a general propagation equation in the frequency domain and show how it leads to a generalized nonlinear Schrodinger equation when it is converted to the time domain. We use this equation to study propagation of ultrashort optical pulses in the presence of self-phase modulation and show the possibility of soliton formation and supercontinuum generation. The nonlinear phenomena of cross-phase modulation and stimulated Raman scattering are discussed next with emphasis on the impact of free carriers on Raman amplification and lasing. We also consider the four-wave mixing process for both continuous-wave and pulsed pumping and discuss the conditions under which parametric amplification and wavelength conversion can be realized with net gain in the telecommunication band.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-25-16604OtherUNSPECIFIED
ORCID:
AuthorORCID
Painter, Oskar J.0000-0002-1581-9209
Additional Information:© 2007 Optical Society of America. Received 9 October 2007; revised 22 November 2007; accepted 25 November 2007; published 29 November 2007. The authors thank P.M. Fauchet, R.W. Boyd, T.E Murphy, J. Zhang, G. Piredda, L. Yin, T.J. Johnson, R. Perahia, and C.P. Michael for helpful discussions. This work was supported in part by the National Science Foundation, Air Force Research Office, and DARPA EPIC program. Focus Serial: Frontiers of Nonlinear Optics <http://oe.osa.org/virtual_issue.cfm?vid=36>.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Subject Keywords:Semiconductor nonlinear optics; Integrated optics devices; Ultrafast nonlinear optics
Issue or Number:25
Record Number:CaltechAUTHORS:LINoe07
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:LINoe07
Official Citation:Q. Lin, O. J. Painter, and G. P. Agrawal, "Nonlinear optical phenomena in silicon waveguides: modeling and applications," Opt. Express 15, 16604-16644 (2007) http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-25-16604
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9442
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Jan 2008
Last Modified:03 Oct 2019 00:00

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