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Citation

BibTex format

@inbook{McCall:2025:10.1007/978-3-031-83131-7_14,
author = {McCall, M and Koufidis, S},
booktitle = {More Adventures in Contemporary Electromagnetic Theory},
doi = {10.1007/978-3-031-83131-7_14},
editor = {Chiadini and Fiumara},
pages = {329--360},
publisher = {Springer Nature Switzerland},
title = {Static Bragg-Less and Dynamic Bragg-Like Resonances},
url = {http://dx.doi.org/10.1007/978-3-031-83131-7_14},
year = {2025}
}
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RIS format (EndNote, RefMan)

TY  - CHAP
AB  - Reflection and transmission of electromagnetic waves from one-dimensional periodic index perturbations (aka Bragg gratings) have, for many decades, been described very successfully using coupled-wave theory. We review some very recent theoretical developments that have led to new insights and predictions for the coupled-wave description of Bragg scattering in various complex photonic mediums. The key insight is that standard coupled-wave equations in two complex amplitudes describing propagation through a scalar Bragg grating may be reduced, via a Möbius transformation, to a single first-order differential equation of a real variable, one that readily exposes the underlying system symmetries and connects directly with the theory of coupled oscillators. Remarkably, the method can be extended to describe Bragg gratings in mediums of significant complexity, such as mediums with chiral magneto-electric coupling, which are additionally either structurally chiral or linearly birefringent. Regarding the former, we demonstrate how, for extreme values of chirality, a medium of a particular handedness can back scatter light of both circular states. For the latter, combining linear and circular birefringence gives rise to a circular Bragg-like response that is unexpectedly predicted to occur in a homogeneous medium. Off-axis propagation is also shown to lead to singular values of the supported refractive indices. Our techniques are also shown to be applicable to the currently topical theme of uniform mediums whose constitutive parameters are modulated in time. Such “temporal” Bragg gratings, particularly those exhibiting parametric amplification, give rise to nontrivial temporal modulation scenarios, accessible via our Möbius method. We conclude by highlighting the simultaneous polarization manipulation and amplification of lightwave signals that fall into momentum gaps formed in Brillouin space by time-periodic bi-isotropic mediums.
AU  - McCall,M
AU  - Koufidis,S
DO  - 10.1007/978-3-031-83131-7_14
EP  - 360
PB  - Springer Nature Switzerland
PY  - 2025///
SP  - 329
TI  - Static Bragg-Less and Dynamic Bragg-Like Resonances
T1  - More Adventures in Contemporary Electromagnetic Theory
UR  - http://dx.doi.org/10.1007/978-3-031-83131-7_14
ER  -
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