Journal
OPTICS LETTERS
Volume 34, Issue 21, Pages 3364-3366Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.34.003364
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Funding
- ARO [50342-PH-MUR, 50372-CH-MUR, W911NF-09-10075, W911NF-09-1-0231]
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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. (C) 2009 Optical Society of America
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