标题： 具有双曲色散关系的光子气体 显示英文标题

标题： Photon gas with hyperbolic dispersion relations

摘要： 我们研究了限制在非磁性超材料介质中的光子气体的态密度，该介质的介电张量某些分量为负值。 我们探讨了由此产生的双曲色散关系对黑体谱密度的影响。 我们证明，对于可能存在的两种波矢空间拓扑结构，光谱密度在某一频率处消失。 我们得到了系统的配分函数，并推导出一些热力学量。 在主要阶次上，结果类似于一维或二维光子气体的态密度增强情况。 显示英文摘要

摘要： We investigate the density of states for a photon gas confined in a nonmagnetic metamaterial medium in which some components of the permittivity tensor are negative. We study the effect of the resulting hyperbolic dispersion relations on the black body spectral density. We show that for both of the possible wavevector space topologies, the spectral density vanishes at a certain frequency. We obtain the partition function and derive some thermodynamical quantities of the system. To leading order, the results resemble those of a one- or two-dimensional photon gas with an enhanced density of states.