SURFACE-TO-SURFACE AND SUBSURFACE-TO-AIR PROPAGATION OF ELECTROMAGNETIC WAVES. THE DERIVATION OF ELECTRIC AND MAGNETIC FIELD COMPONENTS FOR THE QUASI- STATIC, QUASI-NEAR, AND NEAR-FIELD RANGES
Abstract
The electric and magnetic field components produced by vertical and horizontal dipoles (both electric and magnetic) are derived and presented for the quasi-static, quasi-near, and near-field ranges. The depth, h, of the transmitting dipole is less than or equal to zero; the height, z, of the receiving antenna above the plane, conducting, homogeneous earth varies from zero to some height, z, that is much less than the ionospheric reflecting height (ionospheric effects are neglected). The horizontal separation, rho, between th transmitting and receiving antennas is comparable to the receiving antenna height, z. The derivations are based upon the quasi-static and near-field approximations to the vector potentials for the vertical and horizontal dipoles and upon applications of the reciprocity theorem. The surface-to-surface propagation equations reduce to well-known expressions when the absolute value of gamma sub 1 rho >>1 and the absolute value of gamma sub 1 rho <<1, as do the subsurface-to-air equations when rho >>z.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 17, 1967
- Accession Number
- AD0649917
Entities
People
- Peter R. Bannister
Organizations
- Navy Underwater Sound Laboratory