On the synthesis of line-sources and infinite strip-sources
- 1 January 1957
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 5 (1) , 40-46
- https://doi.org/10.1109/TAP.1957.1144464
Abstract
In this investigation Woodward's synthesis problem for line-sources and infinite strip-sources with arbitrarily spaced sample points is discussed on the basis of the well-known sampling theorem of bandwidth limited functions. Herein is described a method of synthesis based on the migration of zeros of the integral function(\sin \pi u)/\pi ufrom which all possible solutions of the problem can be derived. Because of the nonuniqueness of the solution, a criterion is introduced, to derive a unique distribution function so that the integrated value of its squared magnitude is a minimum. It turns out that the solution under this criterion coincides with the one obtained by Woodward and Lawson. Examples are given to illustrate the different solutions obtainable for particular problems, and the significance of the least integrated squared magnitude criterion.Keywords
This publication has 3 references indexed in Scilit:
- Design of line-source antennas for narrow beamwidth and low side lobesTransactions of the IRE Professional Group on Antennas and Propagation, 1955
- The theoretical precision with which an arbitrary radiation-pattern may be obtained from a source of finite sizeJournal of the Institution of Electrical Engineers - Part I: General, 1948
- Note on the Maximum Directivity of an AntennaProceedings of the IRE, 1948