Wave impedance of induction devices using the scalar Riccati equation
暂无分享,去创建一个
A frequently recurring problem in induction device theory involves the determination of the input wave impedance to a device. This is commonly done by solving for the field components. In this paper, a completely different method based on the scalar Riccati equation is described. It is shown that the wave impedance can be obtained by the numerical integration of a Riccati-type differential equation, having wave impedance as the unknown variable. This is illustrated with three simple models each having an unknown field distribution in one direction only. Extensive computer testing was carried out and the results obtained were found to agree very closely with published analytical methods. The method is very simple, easily programmed and avoids the use of higher transcendental functions.
[1] W. Reid,et al. Riccati Differential Equations , 1975, IEEE Transactions on Systems, Man, and Cybernetics.
[2] R. Waldron. Theory of guided electromagnetic waves , 1970 .
[3] H. Davis. Introduction to Nonlinear Differential and Integral Equations , 1964 .
[4] G. Watson. Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions) , 1923 .