17 January 2006 Frequency domain modeling of nanophotonic devices
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Abstract
Several problems in nanophotonics are uniquely suitable for frequency domain modeling methods. We first present a new method for sensitivity analysis of nanophotonic devices. The algorithm is based on the finite-difference frequency-domain method and uses the adjoint variable method and perturbation theory techniques. We show that our method is highly efficient and accurate and can be applied to the calculation of the sensitivity of transmission parameters of resonant nanophotonic devices. Frequency-domain methods are also essential in modeling of plasmonic devices due to the complicated dispersion properties of metals at optical frequencies. Here we demonstrate the existence of a bound optical mode supported by a slot in a thin metallic film deposited on a substrate, with slot dimensions much smaller than the wavelength. The modal size is almost completely dominated by the near field of the slot. Consequently, the size is very small compared with the wavelength, even when the dispersion relation of the mode approaches the light line of the surrounding media. In addition, the group velocity of this mode is close to the speed of light in the substrate, and its propagation length is tens of microns at the optical communication wavelength.
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Georgios Veronis, Shanhui Fan, "Frequency domain modeling of nanophotonic devices", Proc. SPIE 6038, Photonics: Design, Technology, and Packaging II, 60380X (17 January 2006); doi: 10.1117/12.651341; https://doi.org/10.1117/12.651341
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