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Analysis of Photonic Band Gaps in a Two-Dimensional Triangular Lattice with Superconducting Hollow Rods

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Abstract

In this work, we use the plane wave expansion method to calculate photonic band structures in two-dimensional photonic crystals which consist of high-temperature superconducting hollow rods arranged in a triangular lattice. The variation of the photonic band structure with respect to both, the inner radius and the system temperature, is studied, taking into account temperatures below the critical temperature of the superconductor in the low frequencies regime and assuming E polarization of the incident light. Permittivity contrast and nontrivial geometry of the hollow rods lead to the appearance of new band gaps as compared with the case of solid cylinders. Such band gaps can be modulated by means of the inner radius and system temperature.

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Acknowledgements

The authors are grateful to Professor Nelson Porras-Montenegro for a critical reading of the paper. This research was partially supported by Vicerrectoría de Investigaciones (research proyect CI71025), and CENM at Universidad del Valle. B.F. D-V acknowledges support from CIBioFi, and the Colombian Science, Technology and Innovation Fund-General Royalties System (Fondo CTeI- SGR) under contract No. BPIN 2013000100007.

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Authors and Affiliations

  1. Departamento de Física, Universidad del Valle A.A, 25360, Cali, Colombia

    B. F. Diaz-Valencia & J. M. Calero

  2. Centre for Bioinformatics and Photonics-CIBioFi, Calle 13 No. 100-00, Edificio 320 No. 1069, Cali, Colombia

    B. F. Diaz-Valencia

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  1. B. F. Diaz-Valencia
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  2. J. M. Calero
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Correspondence to J. M. Calero.

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Diaz-Valencia, B.F., Calero, J.M. Analysis of Photonic Band Gaps in a Two-Dimensional Triangular Lattice with Superconducting Hollow Rods. J Low Temp Phys 186, 275–284 (2017). https://doi.org/10.1007/s10909-016-1701-y

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  • DOI: https://doi.org/10.1007/s10909-016-1701-y

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