# Reflection from the periodically modulated interface of a hyperbolic metamaterial

## TL;DR

This paper numerically investigates how periodically modulated hyperbolic metamaterial interfaces can minimize reflection and induce subwavelength field localization, providing analytical and numerical insights into their scattering properties.

## Contribution

It introduces an optimal sawtooth-shaped interface profile for minimal reflection and generalizes a numerical method using Green's second identity for field calculations.

## Key findings

- Sawtooth interface profile minimizes reflection
- Subwavelength localization occurs at specific orientations
- Analytical eigenmode expression derived

## Abstract

A numerical study of the features of the scattering of incident radiation at a periodically modulated hyperbolic metamaterial boundary was carried out. We have found optimal - sawtooth-shaped profile of the interface which provides minimal reflection. It is shown that at a certain orientation of the optical axes of the metamaterial, a subwave localization of the field occurs at the saw-tooth interface. An approximate analytical expression for the eigenmode was found. A generalization of the numerical method is implemented for calculating fields, based on the application of the Green's second identity.