An auxiliary field approach for computing optical resonances in dispersive media

Binkowski, Felix; Zschiedrich, Lin; Burger, Sven

doi:10.1186/s41476-019-0098-z

Cited by 5 publications

(2 citation statements)

References 18 publications

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“…[ 80 ] By carefully studying the trajectories of zeros, we prove that the boundaries of the 2π phase change regions correspond to EPs where two transmission zeros become degenerated. We also computed the electric and magnetic resonance frequencies of this Sb 2 S 3 metasurface by solving eigen‐value problems, [ 81 ] and the silicon nanodisk metasurface proposed in ref. [24] (see Supporting Information), and we found that they never fully coincide.…”

Section: Explicit or Spontaneous Symmetry‐breaking Leading To 2π‐phas...mentioning

confidence: 99%

Crossing of the Branch Cut: The Topological Origin of a Universal 2π‐Phase Retardation in Non‐Hermitian Metasurfaces

Colom

Mikheeva

Achouri

et al. 2023

Laser & Photonics Reviews

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Full wavefront control by photonic components requires that the spatial phase modulation on an incoming optical beam ranges from 0 to 2𝝅. Because of their radiative coupling to the environment, all optical components are intrinsically non-Hermitian systems, often described by reflection and transmission matrices with complex eigenfrequencies. Here, it is shown that parity or time symmetry breaking-either explicit or spontaneous-moves the position of zero singularities of the reflection or transmission matrices from the real axis to the upper part of the complex frequency plane. A universal 0 to 2𝝅-phase gradient of an output channel as a function of the real frequency excitation is thus realized whenever the discontinuity branch bridging a zero and a pole, that is, a pair of singularities, is crossing the real axis. This basic understanding is applied to engineer electromagnetic fields at interfaces, including, but not limited to, metasurfaces. Non-Hermitian topological features associated with exceptional degeneracies or branch cut crossing are shown to play a surprisingly pivotal role in the design of resonant photonic systems.

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Section: Explicit or Spontaneous Symmetry‐breaking Leading To 2π‐phas...mentioning

confidence: 99%

Crossing of the Branch Cut: The Topological Origin of a Universal 2π‐Phase Retardation in Non‐Hermitian Metasurfaces

Colom

Mikheeva

Achouri

et al. 2023

Laser & Photonics Reviews

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“…These results were derived by solving an eigenvalue problem where outgoing boundary conditions were imposed in the regions at the top and bottom of the metasurface. These calculations were performed using the eigenvalue solver implemented in JCMsuite [71].…”

Section: Siv Real and Complex Frequency Numerical Calculationmentioning

confidence: 99%

Crossing of the branch cut: the topological origin of a universal 2π-phase retardation in non-Hermitian metasurfaces

Colom¹,

Mikheeva²,

Achouri³

et al. 2022

Preprint

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Full wavefront control by photonic components requires that the spatial phase modulation on an incoming optical beam ranges from 0 to 2π. Because of their radiative coupling to the environment, all optical components are intrinsically non-Hermitian systems, often described by reflection and transmission matrices with complex eigenfrequencies. Here, we show that Parity-Time symmetry breaking -either explicit or spontaneous-moves the position of Zero singularities of the reflection or transmission matrices from the real axis to the upper part of the complex frequency plane. A universal 0 to 2π-phase gradient of an output channel as a function of the real frequency excitation is thus realized whenever the discontinuity branch bridging a Zero and a Pole, i.e. a pair of singularities, is crossing the real axis. This basic understanding is applied to engineer electromagnetic fields at interfaces, including, but not limited to, metasurfaces. Non-Hermitian topological features associated with exceptional degeneracies or branch cut crossing are shown to play a surprisingly pivotal role in the design of resonant photonic systems.

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Non-asymptotic homogenization of 3-D periodic structures

Hossain

Tsukerman

2021

Physics Letters A

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An auxiliary field approach for computing optical resonances in dispersive media

Cited by 5 publications

References 18 publications

Crossing of the Branch Cut: The Topological Origin of a Universal 2π‐Phase Retardation in Non‐Hermitian Metasurfaces

Crossing of the Branch Cut: The Topological Origin of a Universal 2π‐Phase Retardation in Non‐Hermitian Metasurfaces

Crossing of the branch cut: the topological origin of a universal 2π-phase retardation in non-Hermitian metasurfaces

Non-asymptotic homogenization of 3-D periodic structures

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