Numerical Calculation of Cylindrical Functions in the Transitional Regions Using Asymptotic Series

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概要

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• There are so many methods of calculating the cylindrical function Z_ν(x), but it seems that there is no method of calculating Z_ν(x) in the region of ν =⃥ ±x and ∣ν∣ ≫ 1 with high accuracy. The asymptotic series presented by Watson, et al.are frequently used for the numerical calculation of cylindrical function Z_ν(x) where ν =⃥ ±x and ∣ν∣ ≫ 1. However, the function B_m(εx) included in the m'th term of the asymptotic series is known only for m ≤ 5. Hence, the asymptotic series can not give sufficiently accurate values of the cylindrical functions. The authors attempt to develop programs for the numerical calculation of the cylindrical functions using this asymptotic series. For this purpose, we must know the function B_m(εx) of arbitrary m. We developed a method of calculating B_m(εx) for arbitrary m, and them succeeded in calculating the cylindrical functions in the region ν =⃥ ±x with high precision

• 社団法人電子情報通信学会の論文
• 2001-09-01

著者

• Rashid Mohd

  The Faculty Of Engineering University Of The Ryukyus

• Kodama Masao

  The Faculty Of Engineering University Of The Ryukyus

関連論文

• Improvements in Solution of Integral Eigenvalue Equations for Waveguides of Arbitrary Cross Section
• Numerical Calculation of Cylindrical Functions of Complex Order Using Debye's Asymptotic Series
• Numerical Calculation of Cylindrical Functions in the Transitional Regions Using Asymptotic Series
• Rigorous Analysis of Fields in Junctions between Straight and Curved Rectangular Waveguides(Regular Section)

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