Green function for hyperbolic media
Green function for hyperbolic media
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DOI：
10.1103/physreva.86.023848
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发表时间：
2012-08-28
影响因子：
2.9
通讯作者：
Kivshar, Yuri S.
中科院分区：
文献类型：
--
作者：
Potemkin, Andrey S.;Poddubny, Alexander N.;Kivshar, Yuri S.
我们重新审视均匀双曲介质的电磁绿色函数的问题，其中纵向和横向分量的介电常数张量有不同的符号。我们分析了偶极发射模式的偶极子方向相对于对称轴和不同的符号的介电常数，并表明，发射模式是高度各向异性的，并具有一个特征的十字形：波传播在一定的锥和渐逝这个锥外。我们证明了由于发射的非凡TM偏振波的锥状图案和由于发射的普通TE偏振波的椭圆图案的共存。我们发现在绿色函数中有一个奇异的复项，它与δ函数成正比，并控制着双曲介质中的光子态密度和珀塞尔效应。
We revisit the problem of the electromagnetic Green function for homogeneous hyperbolic media, where longitudinal and transverse components of the dielectric permittivity tensor have different signs. We analyze the dipole emission patterns for both dipole orientations with respect to the symmetry axis and for different signs of dielectric constants, and show that the emission pattern is highly anisotropic and has a characteristic crosslike shape: the waves are propagating within a certain cone and are evanescent outside this cone. We demonstrate the coexistence of the conelike pattern due to emission of the extraordinary TM-polarized waves and elliptical pattern due to emission of ordinary TE-polarized waves. We find a singular complex term in the Green function, proportional to the delta function and governing the photonic density of states and Purcell effect in hyperbolic media.