Imperial College London

ProfessorRichardCraster

Faculty of Natural Sciences

Dean of the Faculty of Natural Sciences
 
 
 
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Contact

 

+44 (0)20 7594 8554r.craster Website

 
 
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Assistant

 

Miss Hannah Cline +44 (0)20 7594 1934

 
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Location

 

3.05Faculty BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Palmer:2022:1367-2630/ac37ad,
author = {Palmer, SJ and Ignatov, Y and Craster, RV and Makwana, M},
doi = {1367-2630/ac37ad},
journal = {New Journal of Physics},
title = {Asymptotically exact photonic approximations of chiral symmetric topological tight-binding models},
url = {http://dx.doi.org/10.1088/1367-2630/ac37ad},
volume = {24},
year = {2022}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - Topological photonic edge states, protected by chiral symmetry, are attractive for guiding wave energy as they can allow for more robust guiding and greater control of light than alternatives; however, for photonics, chiral symmetry is often broken by long-range interactions. We look to overcome this difficulty by exploiting the topology of networks, consisting of voids and narrow connecting channels, formed by the spaces between closely spaced perfect conductors. In the limit of low frequencies and narrow channels, these void-channel systems have a direct mapping to analogous discrete mass-spring systems in an asymptotically rigorous manner and therefore only have short-range interactions. We demonstrate that topological tight-binding models that are protected by chiral symmetries, such as the SSH model and square-root semimetals, are reproduced for these void-channel networks with appropriate boundary conditions. We anticipate, moving forward, that this paper provides a basis from which to explore continuum photonic topological systems, in an asymptotically exact manner, through the lens of a simplified tight-binding model.
AU - Palmer,SJ
AU - Ignatov,Y
AU - Craster,RV
AU - Makwana,M
DO - 1367-2630/ac37ad
PY - 2022///
SN - 1367-2630
TI - Asymptotically exact photonic approximations of chiral symmetric topological tight-binding models
T2 - New Journal of Physics
UR - http://dx.doi.org/10.1088/1367-2630/ac37ad
UR - https://iopscience.iop.org/article/10.1088/1367-2630/ac37ad
UR - http://hdl.handle.net/10044/1/92907
VL - 24
ER -