Applications of the characteristic modes in the analysis and design of metastructures (Conference Presentation)

Amir Arbabi; Babak Mirzapourbeinekalaye

doi:10.1117/12.2509789

8 March 2019 Applications of the characteristic modes in the analysis and design of metastructures (Conference Presentation)

Amir Arbabi, Babak Mirzapourbeinekalaye

Author Affiliations +

Proceedings Volume 10928, High Contrast Metastructures VIII; 1092807 (2019) https://doi.org/10.1117/12.2509789
Event: SPIE OPTO, 2019, San Francisco, California, United States

Abstract

Characteristic modes (c-modes) are a complete and orthogonal set of modes that can be used as a basis for the expansion of the waves scattered from electromagnetic and optical scatterers. In this talk, we present an introduction to the c-modes and discuss their applications in the analysis and design of 2D and 3D meta-structures. We present an equation for finding the c-modes and demonstrate that the c-modes and the natural (quasi-normal) resonances of meta-structures are related to each other. The relation between the c-modes and the natural mode leads to closed-form solutions for the transmission and reflection spectra of non-diffractive meta-structures that only depend on the complex-valued frequencies of the natural modes. As an example, we show that the wide bandwidth and high reflectivity of 1D high contrast gratings can be attributed to the alignment of two resonances associated with two different c-modes. In addition, using the c-modes concept, we present accurate expressions for the field enhancement and the Purcell factor in the presence of meta-structures and establish an upper bound on the number of degrees of freedom of meta-structures.

Conference Presentation

Citation Download Citation

Amir Arbabi and Babak Mirzapourbeinekalaye "Applications of the characteristic modes in the analysis and design of metastructures (Conference Presentation)", Proc. SPIE 10928, High Contrast Metastructures VIII, 1092807 (8 March 2019); https://doi.org/10.1117/12.2509789

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