Non-Hermitian curved space via inverted wave equation
Optics
2026-05-19 v3 Applied Physics
Abstract
Directly solving graded materials from amplitude and phase was a method developed following transformation optics (TO), which provided reflectionless media for an incidence wave. However, this inverting method gives Hermitian media thus not applicable to non-Hermitian (NH) photonics. In this Letter we then design NH media offering more freedom to manipulate waves of no reflection. Our picture of curved-space powered with gain and loss, is exemplified by three types: amplitude controlling, phase conversion, and direction shunting. These examples showcase precise wave manipulation in a surprisingly simple manner, which goes beyond convectional TOs and is implementable in nonreciprocal photonic platform.
Cite
@article{arxiv.2602.10937,
title = {Non-Hermitian curved space via inverted wave equation},
author = {C. Zhang and Y. Liu and H. Lin and B. Zhou},
journal= {arXiv preprint arXiv:2602.10937},
year = {2026}
}
Comments
6 pages, 4 figs