Purcell effect in nonlinear photonic structures: a coupled mode theory analysis

Optics Express
Rafif E HamamMarin Soljacic

Abstract

We develop a coupled mode theory (CMT) model of the behavior of a polarization source in a general photonic structure, and obtain an analytical expression for the resulting generated electric field; loss, gain and/or nonlinearities can also be modeled. Based on this treatment, we investigate the criteria needed to achieve an enhancement in various nonlinear effects, and to produce efficient sources of terahertz radiation, in particular. Our results agree well with exact finite-difference time-domain (FDTD) results. Therefore, this approach can also in certain circumstances be used as a potential substitute for the more numerically intensive FDTD method.

References

Aug 15, 1996·Physical Review. B, Condensed Matter·K Sakoda, K Ohtaka
Mar 6, 2003·Nature Materials·Bradley Ferguson, Xi-Cheng Zhang
Apr 2, 2004·Nature Materials·Marin Soljacić, J D Joannopoulos
Feb 21, 2006·Physical Review Letters·Mihai IbanescuJ D Joannopoulos
Feb 21, 2006·Physical Review Letters·Chiyan LuoJ D Joannopoulos
Nov 26, 2007·Optics Express·Jorge Bravo-AbadMarin Soljacic

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Citations

Dec 2, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A R McGurn
Jan 26, 2011·Optics Express·Song-Liang ChuaJorge Bravo-Abad

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