On the Calculation of Antenna Patterns for an Inhomogeneous Spherical Earth
Open Access
- 1 November 1967
- journal article
- research article
- Published by American Geophysical Union (AGU) in Radio Science
- Vol. 2 (11) , 1361-1378
- https://doi.org/10.1002/rds19672111361
Abstract
Analytical and numerical procedures are described for the evaluation of the following functions: urn:x-wiley:00486604:media:rds19672111361:rds19672111361-math-0003 The contour Γ, for the integrals in the complex t plane, may be taken from ∞e−i2π/3 along a straight line to 0 and then out along the real axis to + ∞. In addition, and where Ai, Bi, Ai′, and Bi′ are Airy functions in the standard notation. The real quantities X and x1 and the complex factors q and q1 are the parameters of the problem. The function V′, which characterizes the pattern of a loop antenna on the earth's surface, is illustrated graphically for low radio frequencies for a mixed land/sea propagation path.Keywords
This publication has 7 references indexed in Scilit:
- Phase of electromagnetic field on the surface of an inhomogeneous earth for sky-wave illuminationIEEE Transactions on Antennas and Propagation, 1967
- Illumination of an Inhomogeneous Spherical Earth by an LF Plane Electromagnetic WaveRadio Science, 1967
- On the calculation of the ground wave attenuation factor at low frequenciesIEEE Transactions on Antennas and Propagation, 1966
- Pattern of an antenna on a curved lossy surfaceIEEE Transactions on Antennas and Propagation, 1958
- Applications of operational calculus to ground-wave propagation, particularly for long wavesIEEE Transactions on Antennas and Propagation, 1958
- ON THE THEORY OF PROPAGATION OF ELECTROMAGNETIC WAVES ALONG A CURVED SURFACECanadian Journal of Physics, 1958
- The asymptotic expansion of bessel functions of large orderPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1954