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《ACTA ELECTRONICA SINICA》 1995-09
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Numerical Computation of Mathieu Functions

Zhang Shanjie(Department of Electroical Science and Engineering,Nanjing University, Nanjing 210008)Shen Yaochun(Department of Biology Engineering,Southeast University,Nanjing 210018)  
Mathieu functions are frequently encountered in many radiation,scattering and guided wave problems, which are formulated in the elliptic cylindrical coordinate system. Mathieu functions are also used in the studies of the elliptic optical fibre waveguides. Consequently their accurate computation is of general importance. A program flowchart for the computation of Mathieu functions and modified Mathieu functions of the first and second kinds,and some useful expressions for numerical computation are presented,and the related algorithms are discussed. Moreover,some typical tabulated data of Mathieu functions of orders up to 12 with positive and negative parameters q are given to eight significant figures.
【CateGory Index】: TN911.1
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