Approximation of radiation patterns of antennas by entire functions of exponential type

Authors

  • Victor F. Kravchenko Kotelnikov Institute of Radio Engineering and Electronics, RAS, Russian Federation
  • E. G. Zelkin Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russian Federation
  • V. V. Timoshenko Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.1999.1236130

Abstract

One of the central problems in the theory of synthesis of antennas is the question of the approximation of the specified direction diagram (RP) by entire functions of an exponential type; i.e., we are given functions of class   [1]. In fact, if the specified RP belongs to these functions, the problem of synthesis has an exact solution. It is known [2] that in practice the required RP of an antenna usually does not belong to these functions; therefore, they can acquire various forms. In this case, the problem of synthesis has no exact solution and the question of its approximate solving may be posed. Moreover, it will be possible to define the distribution of a current (field) on an aperture ensuring a specific RP with a required accuracy.

References

Akhiezer, N.I. Lecture on Approximation Theory. Moscow: Nauka, 1965.

Zelkin, E.G.; Sokolov, V. G. Methods of Synthesis of Antennas. Moscow: Sov. Radio, 1980.

Kravchenko, V.F. Antenna Pattern Approximation and Linear Radiator Synthesis Based on Atomic Functions. Electromagnetic Waves and Electronic Systems, 1998, Vol. 3, No. 1, p. 40-47.

Kravchenko, V.F.; Timoshenko, V.V. Atomic Functions in the Theory of the Analysis and Synthesis of Linear Antennas. Electromagnetic Waves and Electronic Systems, 1999, Vol. 4, No. 5.

Kravchenko, V.F.; Pustovoit, V.I.; Timoshenko, V.V. Spectral Properties of Atomic Functions and the Approximation of Direction Diagrams of Linear Antennas. Doklady Physics, 1999 (in press).

ICATT 1999 cover

Published

1999-09-14

Issue

1999: ICATT’99 - Proc. of III Int. Conf. on Antenna Theory and Techniques

Section

General antenna theory