Bragg Mirrors for Thermal Waves

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 solu...

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Published in:Energies
Main Authors: Angela Camacho de la Rosa, David Becerril, María Guadalupe Gómez-Farfán, Raúl Esquivel-Sirvent
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/22/7452
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author Angela Camacho de la Rosa
David Becerril
María Guadalupe Gómez-Farfán
Raúl Esquivel-Sirvent
author_facet Angela Camacho de la Rosa
David Becerril
María Guadalupe Gómez-Farfán
Raúl Esquivel-Sirvent
author_sort Angela Camacho de la Rosa
collection DOAJ
container_title Energies
description 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.
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spelling doaj-art-06a3f2da270d4ce8a5b3f1f85e4e11ff2025-08-19T22:37:37ZengMDPI AGEnergies1996-10732021-11-011422745210.3390/en14227452Bragg Mirrors for Thermal WavesAngela Camacho de la Rosa0David Becerril1María Guadalupe Gómez-Farfán2Raúl Esquivel-Sirvent3Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, MexicoIstituto di Struttura della Materia, Consiglio Nazionale delle Ricerche (CNR), Via Fosso del Cavaliere 100, 00133 Rome, ItalyInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, MexicoWe 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.https://www.mdpi.com/1996-1073/14/22/7452Cattaneo-VernottewavesBragg
spellingShingle Angela Camacho de la Rosa
David Becerril
María Guadalupe Gómez-Farfán
Raúl Esquivel-Sirvent
Bragg Mirrors for Thermal Waves
Cattaneo-Vernotte
waves
Bragg
title Bragg Mirrors for Thermal Waves
title_full Bragg Mirrors for Thermal Waves
title_fullStr Bragg Mirrors for Thermal Waves
title_full_unstemmed Bragg Mirrors for Thermal Waves
title_short Bragg Mirrors for Thermal Waves
title_sort bragg mirrors for thermal waves
topic Cattaneo-Vernotte
waves
Bragg
url https://www.mdpi.com/1996-1073/14/22/7452
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