Complex band structure of thermal wave crystals: The plane-wave method


  • Cesar Augusto Romero-Ramos Universidad de Sonora
  • Betsabe Manzanares-Martinez Universidad de Sonora
  • Diego Soto-Puebla Universidad de Sonora
  • Jesus Manzanares-Martinez Universidad de Sonora



Heat; non-Fourier; crystal


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


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How to Cite

C. A. . Romero-Ramos, B. Manzanares-Martinez, D. Soto-Puebla, and J. Manzanares-Martinez, “Complex band structure of thermal wave crystals: The plane-wave method”, Rev. Mex. Fís., vol. 70, no. 3 May-Jun, pp. 031601 1–, May 2024.