Galyamin Sergey N, Tyukhtin Andrey V, Peshkov Anton A
Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia.
Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia and Helmholtz-Institut Jena, Fröbelstieg 3, Jena 07743, Germany.
Phys Rev E. 2017 Mar;95(3-1):032142. doi: 10.1103/PhysRevE.95.032142. Epub 2017 Mar 29.
This study analyzes the radiation produced by a point charge intersecting the interface between a vacuum and a chiral isotropic medium. We deduce analytical expressions for the Fourier components of an electromagnetic field in both vacuum and medium for arbitrary charge velocity. The main focus is on investigating the far field in a vacuum. The distinguishing feature of the interface with a chiral isotropic medium is that the field in the vacuum area contains both copolarization (coinciding with the polarization of the self-field of a charge) and cross-polarization (orthogonal to the polarization of the self-field). Using a saddle-point approach, we obtain asymptotic representations for the field components in the far-field zone for typical frequency ranges of the Condon model of the chiral medium. We note that a so-called lateral wave is generated in a vacuum for certain parameters. The main contribution to the radiation at large distances is presented by two (co- and cross-) spherical waves of transition radiation. These waves are coherent and result in a total spherical wave with elliptical polarization, with the polarization coefficient being determined by the chirality of the medium. We present typical radiation patterns and ellipses of polarization.
本研究分析了点电荷穿过真空与手性各向同性介质界面时产生的辐射。我们推导了任意电荷速度下真空和介质中电磁场傅里叶分量的解析表达式。主要重点是研究真空中的远场。与手性各向同性介质界面的显著特征是,真空区域的场包含共极化(与电荷自场的极化一致)和交叉极化(与自场极化正交)。使用鞍点法,我们在手性介质的康登模型的典型频率范围内获得了远场区域中场分量的渐近表示。我们注意到,在某些参数下,真空中会产生所谓的横向波。远距离辐射的主要贡献由两个(共极化和交叉极化)过渡辐射的球面波给出。这些波是相干的,并导致一个具有椭圆极化的总球面波,极化系数由介质的手性决定。我们给出了典型的辐射方向图和极化椭圆。