Generalized free-space equation for computation of power transferred between two antennas
Abstract
A free-space, radio frequency communications link over which antennas A sub t transmits and antenna A sub r receives is defined. The two antennas are stationary, but they may be oriented with respect to one another in any way. For this link, a generalized free-space equation is derived that one can use to exactly compute power transferred between A sub t and A sub r. The form of the generalized equation is very similar to that of the normal free-space equation; however, to account for polarization characteristics of the antennas, the product gain term (G sub t G sub r) is written as the squared magnitude of the dot-product of two complex vectors, one for A sub t and one for A sub r. Each vector is a function of three measured antenna patterns; each vector completely described both radiating and receiving properties of the antenna to which it applies.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- September 1980
- Bibcode:
- 1980STIN...8113256A
- Keywords:
-
- Antennas;
- Mathematical Models;
- Radio Transmission;
- Antenna Radiation Patterns;
- Matrices (Mathematics);
- Polarization Characteristics;
- Spherical Coordinates;
- Vectors (Mathematics);
- Communications and Radar