An anisotropic transfer matrix approach to profiled optical field propagation through hyperbolic metamaterials

An anisotropic transfer matrix approach to profiled optical field propagation through hyperbolic metamaterials

    Presenter(s)

    Guo Chen

    Comments

    Presentation: 1:20-1:40 p.m., Jessie Hathcock Hall 101

    Description

    We extend the transfer matrix method to study the propagation of beams and arbitrary profiled fields through anisotropic metamaterial slabs, and to demonstrate the negative refractive index property resulting in linear self-focusing of beams in hyperbolic metamaterials. Specifically, the transfer matrix method, commonly used to analyze bi-directional plane wave propagation, is developed to analyze beam propagation. By expressing a Gaussian beam as an angular spectrum of plane waves, an anisotropic transfer matrix, which is also obtained using the eigenvalues mentioned above, can be applied to calculate the beam spectrum at an arbitrary distance of propagation through a hyperbolic metamaterial. With given incident and emergent media, say, air, linear self-focusing within the metamaterial slab and subsequent reimaging in the emergent medium are numerically investigated for one transverse dimensional TM polarized Gaussian beam. Simulation results are compared with results from the unidirectional transfer function approach. The anisotropic transfer matrix method can be used to study beam transmission and reflection at the interfaces, and can be applied to analyze optical propagation through anisotropic metamaterial on uniaxial electro-optic substrates. The technique can be extended to arbitrary initial optical field profiles in one transverse dimension to assess the imaging quality of metamaterial slabs.

    Publication Date

    4-19-2023

    Project Designation

    Graduate Research

    Primary Advisor

    Partha Banerjee

    Primary Advisor's Department

    Electro-Optics and Photonics

    Keywords

    Stander Symposium, School of Engineering

    Institutional Learning Goals

    Scholarship

    An anisotropic transfer matrix approach to profiled optical field propagation through hyperbolic metamaterials

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