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  • Open Access

Nondiffracting resonant angular filter

T. M. Lawrie1,2,*, G. Tanner1, and G. J. Chaplain2

  • *Contact author: tristan.lawrie@nottingham.ac.uk
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Phys. Rev. Research 7, 023209 – Published 30 May, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.023209

Abstract

We conceptualize and numerically simulate a resonant metamaterial interface incorporating nonlocal, or beyond-nearest-neighbor, coupling that acts as a discrete angular filter. It can be designed to yield perfect transmission at customizable angles of incidence, without diffraction, allowing for tailored transmission in arbitrarily narrow wave-number windows. The theory is developed in the setting of discrete, infinitely periodic quantum graphs and we realize it numerically as an acoustic metagrating. The theory is then applied to continuous acoustic waveguides, first for the medium surrounding the interface and then for the interface itself, showing the efficacy of quantum graph theory in interface design.

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Phys. Rev. Research 7, 023209– Published 30 May, 2025
  • Received 22 October 2024
  • Accepted 8 April 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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