Transmission through surface-corrugated unidirectional waveguides

作     者：Mendez-Bermudez, J. A. Alcazar-Lopez, A. 

作者机构：Benemerita Univ Autonoma Puebla Inst Fis Apartado Postal J-48 Puebla 72570 Mexico 

出 版 物：《CHAOS》 (混沌；多学科非线性学杂志)

年 卷 期：2018年第28卷第5期

页      面：053120-053120页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：VIEP-BUAP Fondo Institucional PIFCA [BUAP-CA-169] CONACyT [CB-2013/220624] 

主　　题：WAVEGUIDES NUCLEAR cross sections QUASIPARTICLES (Physics) FOKKER-Planck equation PARTIAL differential equations 

摘      要：We study wave transmission G through quasi-one-dimensional waveguides with constant cross section. Constant cross section means that an infinite set of lines of the same length (that do not intersect each other) which are perpendicular to one boundary of the waveguide are also perpendicular to the other boundary. This makes the sign of the tangential velocity for all collision points of an arbitrary particle trajectory to stay constant, so that the classical or ray dynamics in the waveguide is unidirectional. In particular, we report the systematic enhancement of transmission in unidirectional corrugated waveguides when contrasting their transmission properties with those for equivalent constant-width waveguides (for which the classical dynamics is not unidirectional since particles moving in one direction along the waveguide can change its direction of motion). Also, we verify the universality of the distribution of transmissions P(G) in the diffusive ( G 1) and localized ( G 1) regimes of transport. Moreover, we show that in the transition regime, G similar to 1, P(G) is well described by the DMPK approach (the Fokker-Planck approach of Dorokhov, Mello, Pereyra, and Kumar) to bulk-disordered wires.