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Bragg Mirrors for Thermal Waves

Author

Listed:
  • Angela Camacho de la Rosa

    (Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, Mexico
    These authors contributed equally to this work.)

  • David Becerril

    (Istituto di Struttura della Materia, Consiglio Nazionale delle Ricerche (CNR), Via Fosso del Cavaliere 100, 00133 Rome, Italy
    These authors contributed equally to this work.)

  • María Guadalupe Gómez-Farfán

    (Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, Mexico
    These authors contributed equally to this work.)

  • Raúl Esquivel-Sirvent

    (Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, Mexico
    These authors contributed equally to this work.)

Abstract

We present a numerical calculation of the heat transport in a Bragg mirror configuration made of materials that do not obey Fourier’s law of heat conduction. The Bragg mirror is made of materials that are described by the Cattaneo-Vernotte equation. By analyzing the Cattaneo-Vernotte equation’s solutions, we define the thermal wave surface impedance to design highly reflective thermal Bragg mirrors. Even for mirrors with a few layers, very high reflectance is achieved (>90%). The Bragg mirror configuration is also a system that makes evident the wave-like nature of the solution of the Cattaneo-Vernotte equation by showing frequency pass-bands that are absent if the materials obey the usual Fourier’s law.

Suggested Citation

  • Angela Camacho de la Rosa & David Becerril & María Guadalupe Gómez-Farfán & Raúl Esquivel-Sirvent, 2021. "Bragg Mirrors for Thermal Waves," Energies, MDPI, vol. 14(22), pages 1-11, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:22:p:7452-:d:674792
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    References listed on IDEAS

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    1. Kundu, Balaram, 2016. "Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 204-216.
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    More about this item

    Keywords

    Cattaneo-Vernotte; waves; Bragg;
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