Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements
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 to...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley-VCH
2024-04-01
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| Series: | Advanced Photonics Research |
| Subjects: | |
| Online Access: | https://doi.org/10.1002/adpr.202300155 |
| _version_ | 1797217454374518784 |
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| author | Nitish Kumar Gupta Sapireddy Srinivasu Mukesh Kumar Anjani Kumar Tiwari Sudipta Sarkar Pal Harshawardhan Wanare S. Anantha Ramakrishna |
| author_facet | Nitish Kumar Gupta Sapireddy Srinivasu Mukesh Kumar Anjani Kumar Tiwari Sudipta Sarkar Pal Harshawardhan Wanare S. Anantha Ramakrishna |
| author_sort | Nitish Kumar Gupta |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T12:02:07Z |
| format | Article |
| id | doaj.art-957c9eccadda48cbbf7a62315e39f2db |
| institution | Directory Open Access Journal |
| issn | 2699-9293 |
| language | English |
| last_indexed | 2024-04-24T12:02:07Z |
| publishDate | 2024-04-01 |
| publisher | Wiley-VCH |
| record_format | Article |
| series | Advanced Photonics Research |
| spelling | doaj.art-957c9eccadda48cbbf7a62315e39f2db2024-04-08T16:44:45ZengWiley-VCHAdvanced Photonics Research2699-92932024-04-0154n/an/a10.1002/adpr.202300155Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion MeasurementsNitish Kumar Gupta0Sapireddy Srinivasu1Mukesh Kumar2Anjani Kumar Tiwari3Sudipta Sarkar Pal4Harshawardhan Wanare5S. Anantha Ramakrishna6Centre for Lasers & Photonics Indian Institute of Technology Kanpur 208016 IndiaCentre for Lasers & Photonics Indian Institute of Technology Kanpur 208016 IndiaCSIR‐Central Scientific Instruments Organisation Chandigarh 160030 IndiaDepartment of Physics Indian Institute of Technology Roorkee 247667 IndiaCSIR‐Central Scientific Instruments Organisation Chandigarh 160030 IndiaCentre for Lasers & Photonics Indian Institute of Technology Kanpur 208016 IndiaCSIR‐Central Scientific Instruments Organisation Chandigarh 160030 IndiaAscertainment 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.https://doi.org/10.1002/adpr.202300155dispersionphotonic crystaltopological ordertopological photonics |
| spellingShingle | Nitish Kumar 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 Advanced Photonics Research dispersion photonic crystal topological order topological photonics |
| title | Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements |
| title_full | Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements |
| title_fullStr | Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements |
| title_full_unstemmed | Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements |
| title_short | Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements |
| title_sort | direct determination of photonic stopband topological character a framework based on dispersion measurements |
| topic | dispersion photonic crystal topological order topological photonics |
| url | https://doi.org/10.1002/adpr.202300155 |
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