A Fast Newton-Raphson Based Roots Finding Algorithm Design and its Applications to Circular Waveguides

Coşkun DENİZ
1.060 164

Öz


Determination of zeros of first two kinds of Bessel functions and their derivatives by fast and reliable accurate calculations is essential to determine the necessary TE and TM modes supported by the circular waveguides. Here, a fast computational algorithm design based on the numerical Newton-Raphson method to determine the first n zeros of these special functions is being presented. Our suggestion involves: scanning the given function in the given domain with the given iteration step and finding their zeros. Repeated roots and roots out of the domain is rejected and the remaining desired roots are ordered by the bubble sorting simultaneously. Consequently, TE and TM modes of the circular waveguides is obtained successfully. Our design running under the free “Wolfram CDF player” software has been open to the users for free in the web page of our institution as being presented here.

Tam metin:

32-45 (English)

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ISSN: 2148-3736

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