The purpose of this report is to discuss various recent developments in the calculation of EM field modes in toroidal cavities of rectangular cross section. The fields are written as products of sines, cosines, and various combinations of Bessel functions and their derivatives. The calculation of exact eigenmodes of the cavity leads directly to the problem of finding roots for the so-called complete Bessel function. Specific developments in the calculation of Bessel functions and their derivatives will be discussed. Exact formulas for the necessary roots as derived by McMahon are calculated, using an algebraic manipulation computer language--REDUCE. (ERA citation 02:008850)
展开▼
