Sideways adiabaticity: beyond ray optics for slowly varying metasurfaces

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dc.contributor.authorPerez-Arancibia, Carlos
dc.contributor.authorPestourie, Raphael
dc.contributor.authorJohnson, Steven G.
dc.date.accessioned2025-01-23T21:21:49Z
dc.date.available2025-01-23T21:21:49Z
dc.date.issued2018
dc.description.abstractOptical metasurfaces (subwavelength-patterned surfaces typically described by variable effective surface impedances) are typically modeled by an approximation akin to ray optics: the reflection or transmission of an incident wave at each point of the surface is computed as if the surface were "locally uniform," and then the total field is obtained by summing all of these local scattered fields via a Huygens principle. (Similar approximations are found in scalar diffraction theory and in ray optics for curved surfaces.) In this paper, we develop a precise theory of such approximations for variable-impedance surfaces. Not only do we obtain a type of adiabatic theorem showing that the "zeroth-order" locally uniform approximation converges in the limit as the surface varies more and more slowly, including a way to quantify the rate of convergence, but we also obtain an infinite series of higher-order corrections. These corrections, which can be computed to any desired order by performing integral operations on the surface fields, allow rapidly varying surfaces to be modeled with arbitrary accuracy, and also allow one to validate designs based on the zeroth-order approximation (which is often surprisingly accurate) without resorting to expensive brute-force Maxwell solvers. We show that our formulation works arbitrarily close to the surface, and can even compute coupling to guided modes, whereas in the far-field limit our zeroth-order result simplifies to an expression similar to what has been used by other authors. (c) 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
dc.description.funderArmy Research Office
dc.fuente.origenWOS
dc.identifier.issn1094-4087
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101237
dc.identifier.wosidWOS:000449972600052
dc.issue.numero23
dc.language.isoen
dc.pagina.final30230
dc.pagina.inicio30202
dc.revistaOptics express
dc.rightsacceso restringido
dc.subject.ods07 Affordable and Clean Energy
dc.subject.odspa07 Energía asequible y no contaminante
dc.titleSideways adiabaticity: beyond ray optics for slowly varying metasurfaces
dc.typeartículo
dc.volumen26
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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