The Analytical Foundations of Loop Antennas and Nano-Scaled Rings by Arnold McKinley

The Analytical Foundations of Loop Antennas and Nano-Scaled Rings by Arnold McKinley

Author:Arnold McKinley
Language: eng
Format: epub, pdf
ISBN: 9789811358937
Publisher: Springer Singapore


(3.22)

The solution depends largely on the form that the distance function R takes. For thin-wire loops, the distance between points on the loop takes the form given in Sect. 2.​1.​5 by (2.​45). This should be positive:

(3.23)

This rids the integrand in Eq. (3.22) of the variable , but goes to 0 when approaches .

3.3.1 Storer’s Recursive Solution

is not a function of . Using Eq. (3.23)

(3.24)

Therefore,

(3.25)

For ease in a later calculation in Sect. 3.3.3, we select . We then have



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