Non-Fourier thermal focusing by gradient thermal metamaterials based on the Cattaneo–Vernotte model

Direct methods to manipulate internal heat conduction in solids remain nearly elusive. In this work, we propose a two-dimensional (2D) gradient thermal metamaterial lens designed to control the internal non-Fourier heat conduction. This gradient thermal metamaterial comprises cylindrical structures made of dermis immersed in a stratum background with an effective refractive index adhering to the hyperbolic secant profile rule. Subsequently, the effective refractive index of the thermal metamaterial is defined and numerically assessed using the extended plane wave expansion method. Thereafter, the non-Fourier heat conduction is analyzed numerically via the finite element method in the time-domain. Our findings indicate that the proposed gradient thermal metamaterial can focus the heat effectively and is akin to a flat thermal lens. The proposed flat thermal lens offers promising avenues for enhancing the material properties by laser-based technologies.

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Publication Details

Journal
Journal of Applied Physics
Published
2024-11-19
DOI
https://doi.org/10.1063/5.0228819
Citations
5
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
Field-Weighted Citation Impact
1.35

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Non-Fourier thermal focusing by gradient thermal metamaterials based on the Cattaneo–Vernotte model

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Non-Fourier thermal focusing by gradient thermal metamaterials based on the Cattaneo–Vernotte model

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article en
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Abstract

Direct methods to manipulate internal heat conduction in solids remain nearly elusive. In this work, we propose a two-dimensional (2D) gradient thermal metamaterial lens designed to control the internal non-Fourier heat conduction. This gradient thermal metamaterial comprises cylindrical structures made of dermis immersed in a stratum background with an effective refractive index adhering to the hyperbolic secant profile rule. Subsequently, the effective refractive index of the thermal metamaterial is defined and numerically assessed using the extended plane wave expansion method. Thereafter, the non-Fourier heat conduction is analyzed numerically via the finite element method in the time-domain. Our findings indicate that the proposed gradient thermal metamaterial can focus the heat effectively and is akin to a flat thermal lens. The proposed flat thermal lens offers promising avenues for enhancing the material properties by laser-based technologies.

Journal of Applied PhysicsVol. 136(19)
Ningbo University (CN), Kuban State University (RU), University of Siegen (DE), Beijing Jiaotong University (CN), Shanghai Laser Technology Institute (CN), Ferdowsi University of Mashhad (IR), University of Science and Technology Beijing (CN)
National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities
Openalex Percentile: Top 22%
Thermoelastic and Magnetoelastic Phenomena
1.35
DOIOpen Access PDFOpenAlex
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