非局部介质间的近场辐射换热
Near field radiative heat transfer between two nonlocal dielectrics
摘要:
利用波动电动力学方法研究了两个半无限平行非局域介质平面间的近场辐射换热。我们使用Halevi和Fuchs提出的非局域介电常数函数理论。该理论的优点是包括文献中执行的不同模型。根据该理论,非局域介电函数由Lorenz-Drude类单振子模型描述,其中空间色散效应由取决于总波矢k的平方的附加项表示。该理论考虑了电磁激励在介质材料表面的散射,这导致需要附加边界条件来求解麦克斯韦方程组和处理电磁传输问题。附加边界条件作为附加表面散射参数出现在表面阻抗的表达式中。结果表明,非局部建模偏离经典的$1/d^2$法律在纳米范围内的距离仍然大于量子效应预计发挥作用。
英文摘要:
We explore in the present work the near-field radiative heat transfer between two semi-infinite parallel nonlocal dielectric planes by means of fluctuational electrodynamics. We use atheory for the nonlocal dielectric permittivityfunction proposed byHalevi and Fuchs. This theory has the advantage to includedifferent models performed in the literature. According to this theory, the nonlocal dielectric function is described by a Lorenz-Drude like single oscillator model, in which the spatial dispersion effects are represented by an additional term depending on the square of the total wavevector k. The theory takes into account the scattering of the electromagneticexcitation at the surface of the dielectric material, which leads to the need of additional boundary conditions in order to solve Maxwell's equations and treat the electromagnetic transmission problem. The additional boundary conditions appear as additional surface scattering parameters in the expressions of the surface impedances. It is shown that the nonlocal modeling deviates from the classical $1/d^2$ law in the nanometerrangeat distances still larger than the ones where quantum effects are expected to come into play.
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