Comparing different approaches to linear antenna synthesis problems according to power radiation pattern

Andriychuk, Mykhaylo; Bulatsyk, Olena O.; Voitovich, N. N.

doi:10.1109/diped.2014.6958307

Cited by 9 publications

(4 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The closed form of operator A is very important when the optimization problems are solved; moreover, this is essential not only in the synthesis problems but also in the problems of determining the material parameters of scattering medium [22]. The additional terms can be included into (26) to impose specific requirements to the given function F [23].…”

Section: The Optimizing Functionalmentioning

confidence: 99%

The Combined Search of the Different Kind of Solutions to the Optimization Problems of Antenna Synthesis Theory

Andriychuk

2024

Optimization Algorithms - Classics and Recent Advances

View full text Add to dashboard Cite

The restriction on the optimized function in the problem of the antenna synthesis leads to the characteristic form of the nonlinear integral equations, which are equivalent to the respective functionals of synthesis problem. The kind of the reduced equation depends on the operator, which is used for the calculation of antenna’s directivity pattern (DP). The two types of restrictions are considered, the first one is that the amplitude of the objective function is prescribed. The second one is that the restrictions on the phase of the objective function are imposed. The problem is actual because it deals with the analytical investigation of integral Hammerstein equations of a new type, on the one hand, and gives a possibility to get new types of solutions to above equations that can be applied at the modelling of antennas of the different appointment, on the other hand. The peculiarity of such equations is the non-uniqueness of their solutions. The accuracy of analytical approach is supported by the numerical data. The method of successive approximations is much effective for solving the reduced equations. The advantage of the approach proposed is a fast convergence of iterative procedures, which are applied for solving the obtained equations.

show abstract

Section: The Optimizing Functionalmentioning

confidence: 99%

The Combined Search of the Different Kind of Solutions to the Optimization Problems of Antenna Synthesis Theory

Andriychuk

2024

Optimization Algorithms - Classics and Recent Advances

View full text Add to dashboard Cite

show abstract

“…In mathematical sense, such problems are reduced to nonlinear integral equations of the Hammerstein type, in which the modulus and the argument of unknown function appear separately. A method for investigation of the branching solutions of these problems has been developed, numerical methods for their solution have been elaborated, and new physical effects in specific applications have been identified [15] - [18]. The results of theoretical research in this direction are partially summarized in monographs [19], [20].…”

Section: Prof Voitovich -Co-organizer Of the Diped Seminar/workmentioning

confidence: 99%

Dedication to the Memory of Prof. Nikolai Voitovich

Andriychuk

Karkashadze²,

Kusyi

et al. 2020

2020 IEEE XXVth International Seminar/Workshop Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

View full text Add to dashboard Cite

“…Nonlinear eigenvalue problems arise in many fields of natural sciences and engineering sciences. Quite a complete literature on this problem can be found in the works [1][2][3][4]. However, eigenvalue problems that are important to practice can very rarely be solved in a closed form and, as a rule, numerical methods need to be used to solve them.…”

Section: Introductionmentioning

confidence: 99%