TM Wave Propagation in Optical Nanostructures with a Third-Order Nonlinear Response: Modeling and Validation with COMSOLA. Kildishev, E. E. Narimanov
Birck Nanotechnology Center, School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana, USA
An enhanced method is used for analysis of third-order nonlinearities in optical nanostructures with scalar TM (H-field) frequency domain formulation. After embedding it in COMSOL Multiphysics it is shown to produce fast and accurate results without superfluous vector E-field formalism. A standard TM representation based on cubic non-linear susceptibility χ(3) results in an intractable implicit equation, but our technique alleviates this problem. In addition to a universal approach, simpler, more efficient solutions are proposed for media with χ(3) having solely either the real part (lossless Kerr-type medium) or the imaginary part (non-linear absorbing medium).
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