Numerical evaluation of the transfer impedance of two parallel loop antennas
A Fourier integral representation of the complex transfer impedance of two parallel loop antennas of radius a, separated on a common axis by a distance d, is converted into an integral I/sub 1/ the integrand of which decays exponentially. This integral is further manipulated to produce a series representation that can be used numerically when d greater than or equal to 3a. A second integral, I/sub 2/, the integrand of which also decays exponentially, is derived and, like I/sub 1/, converges for d > 0. While a quadrature on I/sub 1/ can be performed when d < 3a, the quadrature requires evaluations of the J/sub 1/ Bessel function of a complex argument. However, the integrand of I/sub 2/ requires only elementary functions of complex arguments and the J/sub 1/ Bessel function of real arguments. Consequently, a quadrature on I/sub 2/ for d < 3a is recommended to complement the series evaluation for d greater than or equal to 3a. 4 figures.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6923783
- Report Number(s):
- SAND-80-1847
- Country of Publication:
- United States
- Language:
- English
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