Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (7): 657-666.
房营光
Fang Yingguang
摘要： he analytcal method is used for the problem of seattering of plane SH-waves bymultiple shallow circur-are cangons. The solution of multiple scattering of plane SH-wares is first expressed as the sum of series of solutions im each of local coordinatesusing separation of variadles and is then converted into the form of dual infinite seriesof a local coordinate system by Graf’s addition formula suitable for the interior and exterior problems. The solution of the problem is finally reduced to solving a set of infinite algbraic dquations:Numerical results of scattering influence on the motion on the earth surace are presented for the two adjacent shallow circular-arc canyons with the same diameter and variable depth-to-width ratio,and the effect of screening and interaction between canyons are discussed in the paper.
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