ON THE CRITERION OF ADIABATICITY IN THE COUPLED MODE THEORY
-
Abstract
In the present paper, it is pointed out that there are two catagories of adiabatic approximation. within the propagation distance the range-dependent variation of the waveguide may be accummulative (1) or nonaccummula-tive (2). The well-known criterion given by Milder is applicable for the first catagory. The criterion for the second catagory has been derived by the present authors. Two example are discussed, (1) a shallow water waveguide with slight surface roughness and (2) a shallow water waveguide with range-dependent sediment properties.
-
References
-
Related Articles
[1] LUO Wen-Yu, YANG Chun-Mei, ZHANG Ren-He. Generalized Coupled-Mode Formulation for Sound Propagation in Range-Dependent Waveguides [J]. Chin. Phys. Lett., 2012, 29(1): 014302. doi: 10.1088/0256-307X/29/1/014302 [2] LUO Wen-Yu, SCHMIDT Henrik. A Spectral Coupled-Mode Formulation for Sound Propagation around Axisymmetric Seamounts [J]. Chin. Phys. Lett., 2010, 27(9): 094304. doi: 10.1088/0256-307X/27/9/094304 [3] ZHANG Yong-Sheng, GUO Guang-Can. Quantum Statistical Theory of Polarization Mode Dispersion [J]. Chin. Phys. Lett., 2006, 23(8): 2129-2131. [4] PAN Hao, YANG Wen-Tao. Fracture Criterion for Fracture Mechanics of Magnets [J]. Chin. Phys. Lett., 2003, 20(6): 855-857. [5] FAN Hongyi, JIANG Nian-Quan. New Three-Mode Einstein-Podolsky-Rosen Entangled State Representation and Its Application in Squeezing Theory [J]. Chin. Phys. Lett., 2002, 19(10): 1403-1406. [6] XING Zheng, WANG Zi-Xing, CHEN Xing-qu, XU Jin-zhang. A Criterion of Superdeformed Triaxial Shape [J]. Chin. Phys. Lett., 1999, 16(3): 172-174. [7] PANG Xiao-feng. Variational Approach to One-Dimensional Electrons Non- Adiabatically Coupled to Phonons [J]. Chin. Phys. Lett., 1999, 16(2): 129-131. [8] DING Zhen-feng, REN Zhao-xing. Criterion of Anisotropic Modes and Rejection Band in a Waveguide Filled with Cold Magnetoactive Plasma [J]. Chin. Phys. Lett., 1997, 14(5): 364-366. [9] NAN Cewen. A General Theory of Coupled Linear-Response of Inhomogeneous Media [J]. Chin. Phys. Lett., 1995, 12(3): 183-185. [10] Z. Wang, C. Wu, X. Sun. A CRITERION FOR TWO KINDS OF PEIERLS TRANSITIONS [J]. Chin. Phys. Lett., 1985, 2(3): 141-144.