THE BERRY PHASE OF A SLOWLY VARYING WAVE-GUIDE

被引:18
作者
TROMP, J [1 ]
DAHLEN, FA [1 ]
机构
[1] PRINCETON UNIV,DEPT GEOL & GEOPHYS SCI,PRINCETON,NJ 08544
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1992年 / 437卷 / 1900期
关键词
D O I
10.1098/rspa.1992.0064
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A wavetrain in a slowly varying waveguide has, apart from the familiar dynamical phase or eikonal, an additional variation in phase which fixes the location of crests and troughs. This additional slow variation in phase is a multidimensional analogue of the Berry phase of an adiabatic quantum system. Both the quantum geometric phase and the additional variation in phase in a classical waveguide can be obtained from a variational principle based upon a slowly varying lagrangian.
引用
收藏
页码:329 / 342
页数:14
相关论文
共 14 条
[1]   ANTICIPATIONS OF THE GEOMETRIC PHASE [J].
BERRY, M .
PHYSICS TODAY, 1990, 43 (12) :34-40
[2]  
Berry M. V., 1989, GEOMETRIC PHASES PHY
[4]   BUDDEN AND SMITH ADDITIONAL MEMORY AND THE GEOMETRIC PHASE [J].
BERRY, MV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 431 (1883) :531-537
[5]   PROPAGATION IN SLOWLY VARY WAVEGUIDES [J].
BRETHERT.FP .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 302 (1471) :555-&
[6]   PHASE MEMORY AND ADDITIONAL MEMORY IN WKB SOLUTIONS FOR WAVE-PROPAGATION IN STRATIFIED MEDIA [J].
BUDDEN, KG ;
SMITH, MS .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1976, 350 (1660) :27-46
[7]  
COURANT R, 1966, METHODS MATH PHYSICS, V2
[8]  
Markovski B., 1989, TOPOLOGICAL PHASES Q
[9]  
Maslov V.P., 1972, THEORIE PERTURBATION
[10]  
Maslov V. P., 1981, SEMICLASSICAL APPROX