ROMERO-RAMOS, C. A.; MANZANARES-MARTINEZ, M. B.; SOTO-PUEBLA, D.    MANZANARES-MARTINEZ, J.. Complex band structure of thermal wave crystals: The plane-wave method. Rev. mex. fis. []. 2024, 70, 3, e031601.   22--2025. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.70.031601.

In this paper, we present an extension of the plane-wave method (PWM) to compute the complex band structure of thermal wave crystals (TWCs). The structural periodicity of TWC allows the possibility to manipulate non-Fourier heat via wave interference. While the Cattaneo-Vernotte (CV) heat conduction theory accurately models oscillatory wave-like propagation of heat in TWCs, obtaining an eigenvalue equation for frequency using the CV wave equation is not possible. To overcome this limitation, we propose a novel approach that solves a complex eigenvalue equation for the Bloch wave vectors.

: Heat; non-Fourier; crystal.

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