论文标题

切伦科夫辐射的衍射在浅瓦楞波导的开口端

Diffraction of Cherenkov Radiation at the Open End of a Shallow Corrugated Waveguide

论文作者

Galyamin, Sergey N., Grigoreva, Aleksandra A.

论文摘要

考虑到内部的开放式圆柱波导瓦楞纸瓦拉吉的对称横向磁模式$ \ text {tm} _ {0l} $的衍射问题。深度和波纹期应远小于波长和波导半径。因此,可以用等效边界条件来描述波纹岩的波导壁,即可以应用相应的阻抗边界条件。都考虑了真空案例和波导均匀介电填充的情况。使用琼斯公式中的修改后的Tayloring技术解决了衍射问题。解决问题的Wiener-Hopf-fock方程的解决方案用于获得无限线性系统以进行反射系数,可以使用还原技术来数值求解后者。

A problem of diffraction of a symmetrical transverse magnetic mode $ \text{TM}_{0l} $ by an open-ended cylindrical waveguide corrugated inside is considered. A depth and a period of corrugations are supposed to be much less than the wavelength and the waveguide radius. Therefore a corrugated waveguide wall can be described in terms of equivalent boundary conditions, i.e. a corresponding impedance boundary condition can be applied. Both vacuum case and the case of uniform dielectric filling of the waveguide is considered. The diffraction problem is solved using the modified tayloring technique in Jones formulation. Solution of the Wiener-Hopf-Fock equation of the problem is used to obtain an infinite linear system for reflection coefficients, the latter can be solved numerically using the reduction technique.

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