Synthesis of Radiating Systems with Flat Aperture According to a Prescribed Power Directivity Pattern. І. Finding the Set of Bifurcation Points of the Solutions

Verfasser / Beitragende:
[P. Savenko]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 208/3(2015-07-01), 366-381
Format:
Artikel (online)
ID: 605525285
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100 1 |a Savenko  |D P.  |u Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
245 1 0 |a Synthesis of Radiating Systems with Flat Aperture According to a Prescribed Power Directivity Pattern. І. Finding the Set of Bifurcation Points of the Solutions  |h [Elektronische Daten]  |c [P. Savenko] 
520 3 |a We study the problem of synthesis of a radiating system with flat aperture according to a prescribed power directivity pattern. We consider a special case where the field in the aperture is linearly polarized. It is shown that this class of problems is characterized by the nonuniqueness and bifurcation of solutions. The problem of finding the set of bifurcation points is reduced to the Cauchy problem for a differential equation of the first order. We construct numerical algorithms and present numerical examples of finding the bifurcation lines of solutions of the main equations of synthesis. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Savenko  |D P.  |u Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 208/3(2015-07-01), 366-381  |x 1072-3374  |q 208:3<366  |1 2015  |2 208  |o 10958