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Advanced Photonics Research
Article . 2024 . Peer-reviewed
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Advanced Photonics Research
Article . 2024
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https://dx.doi.org/10.48550/ar...
Article . 2023
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https://dx.doi.org/10.60692/3x...
Other literature type . 2024
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Other literature type . 2024
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Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements

التحديد المباشر للحرف الطوبوغرافي لنطاق الإيقاف الضوئي: إطار يعتمد على قياسات التشتت
Authors: Nitish Gupta; Sapireddy Srinivasu; Mukesh Kumar; Anjani Kumar Tiwari; Sudipta Sarkar Pal; Harshawardhan Wanare; S. Anantha Ramakrishna;

Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements

Abstract

Ascertainment of photonic stopband absolute topological character requires information regarding the Bloch eigenfunction spatial distribution. Consequently, the experimental investigations predominantly restrict themselves to the bulk‐boundary correspondence principle and the ensuing emergence of topological surface state. Although capable of establishing the equivalence/inequivalence of bandgaps, the determination of their absolute topological identity remains out of its purview. The alternate method of reflection phase‐based identification also provides only contentious improvements owing to the measurement complexities pertaining to the interferometric setups. To circumvent these limitations, the Kramers–Kronig amplitude‐phase causality considerations are resorted to and an experimentally conducive method is proposed for bandgap topological character determination directly from the parametric reflectance measurements. Particularly, it is demonstrated that in case of 1D photonic crystals, polarization‐resolved dispersion measurements suffice in qualitatively determining bandgaps’ absolute topological identities. By invoking the translational invariance of the investigated samples, a parameter “differential effective mass” is also defined, that encapsulates bandgaps’ topological identities and engenders an experimentally discernible bandgap classifier.

Keywords

Photonic Reservoir Computing for Neural Computation, topological order, Character (mathematics), Geometry, FOS: Physical sciences, Engineering, Neuromorphic Photonics, Photonic Crystals, Artificial Intelligence, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, topological photonics, Applied optics. Photonics, Band-pass filter, Electrical and Electronic Engineering, Topology (electrical circuits), Physics, Silicon Photonics Technology, Stopband, Optics, QC350-467, Optics. Light, Atomic and Molecular Physics, and Optics, Dispersion (optics), Materials science, TA1501-1820, Photonics, Physics and Astronomy, Combinatorics, Physical Sciences, Computer Science, dispersion, photonic crystal, Mathematics, Physics - Optics, Optics (physics.optics)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green
gold