Abstract

The method of surface impedance generating operator (SIGO) is developed for analyzing complex optical nanostructures. In this method, the main problem is divided into several subproblems. The proposed SIGO method handles these subproblems independently. Therefore, the method is suitable for parallel computing and is numerically efficient for analyzing large-scale optical structures. To formulate the subproblems in integral form, the dyadic Green’s functions need to be derived for all interior and exterior domains. The dyadic Green’s functions of typical exterior problems, e.g., free space, multilayer, periodic, etc., are quite familiar. However, a method based on distribution theory is introduced to obtain the required dyadic Green’s functions of interior problems for scatterers with arbitrary shapes. An important lemma is stated and proved. This lemma preserves the crucial property of Green’s functions, which is the completeness of eigenmodes. The dyadic Green’s functions of the interior problem are specifically derived for the rectangular nanorods. Using the SIGO method and the derived Green’s functions, the current distribution of an optical nano dipole antenna is analyzed. It is shown that, for the same level of accuracy, SIGO can be faster than other conventional formulations and require lower computational resources as well. Therefore, it can be used for successful design and optimization of complex plasmonic circuits.

© 2020 Optical Society of America

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