Traveling wave lobe locations
Abstract
A simple and reasonably accurate formula for the angular locations of travelingwave lobes has been available for many years, but the formula holds only for surface waves that travel at the speed of light. It is shown how the formula may be modified to account for propagation velocities less than the speed of light. It is shown that when the equation derived by the author is used to estimate a starting value for cosQ in the NewtonRaphson method, the solution usually requires no more than three iterations for an accuracy of 10 to the 6th in the solution for Q.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 November 1990
 DOI:
 10.1109/8.102751
 Bibcode:
 1990ITAP...38.1859K
 Keywords:

 Antenna Radiation Patterns;
 Electromagnetic Surface Waves;
 Light Speed;
 Traveling Waves;
 NewtonRaphson Method;
 Transcendental Functions;
 Communications and Radar