Frequency-domain modeling of TM wave propagation in optical nanostructures with a third-order nonlinear response
Abstract
An enhanced method is developed for analysis of third-order nonlinearities in optical nanostructures with a scalar magnetic field frequency-domain formulation; it is shown to produce fast and accurate results for 2D problems without a superfluous vector electric field formalism. While a standard TM representation using cubic nonlinear susceptibility results in an intractable implicit equation, our technique alleviates this problem. In addition to a universal approach, simpler, more efficient solutions are proposed for media having solely either a real (lossless Kerr-type medium) or an imaginary (nonlinear absorbing medium) nonlinearity. Combining these solutions with a finite-element method, we show simulation examples validated with alternative approaches.
Keywords
METAMATERIALS; FILMS
Date of this Version
11-2009
Recommended Citation
Kildishev, Alexander V.; Sivan, Yonatan; Litchinitser, Natalia M.; and Shalaev, V. M., "Frequency-domain modeling of TM wave propagation in optical nanostructures with a third-order nonlinear response" (2009). Birck and NCN Publications. Paper 585.
https://docs.lib.purdue.edu/nanopub/585