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Enabling the temporal equivalent of the Brewster angle with photonic spacetime effective metamaterials [Invited]

Lookup NU author(s): Andrew Naylor, Dr Victor Pacheco PenaORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

It has been recently shown that the temporal equivalent of the Brewster angle can exist when inducing an isotropic-to-anisotropic time interface (i.e., where the permittivity of the medium where a wave propagates is changed from isotropic to a tensor everywhere in space), serving as a mechanism to eliminate the backward wave (time reflection) while still allowing the forward wave (time refraction) to propagate. To enable the existence of such temporal equivalent of the Brewster angle without using anisotropic modulations in time, here we propose and study the possibility of using isotropic-to-isotropic spacetime modulations instead by creating a spatially subwavelength multilayer structure in time using multiple and simultaneous isotropic-to-isotropic time interfaces within discrete spatial regions. A full theoretical description is presented for different spacetime effective media including multilayers having two-periodic layers arranged vertically or horizontally as well as multilayers having three-periodic layers. Different studies are presented including the effect on the temporal equivalent of the Brewster angle of the isotropic permittivity values for each temporally induced spatial layer and the introduction of isotropic-to-isotropic time interfaces for the permeability, among others. All the results are corroborated using numerical simulations, demonstrating the potential of the proposed effective medium approach in space and time to eliminate the backward wave.


Publication metadata

Author(s): Naylor AM, Pacheco-Peña V

Publication type: Article

Publication status: Published

Journal: Optical Materials Express

Year: 2026

Volume: 16

Issue: 8

Pages: 2423-2440

Print publication date: 10/07/2026

Online publication date: 10/07/2026

Acceptance date: 26/06/2026

Date deposited: 21/07/2026

ISSN (electronic): 2159-3930

Publisher: Optica Publishing Group

URL: https://doi.org/10.1364/OME.606469

DOI: 10.1364/OME.606469

Data Access Statement: The datasets generated and analysed during the current study are available from the corresponding author upon reasonable request


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Funding

Funder referenceFunder name
Leverhulme Trust (RPG-2023-024)

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