Polynomial approach to linear antenna array synthesis problem according to power radiation pattern with restriction on its norm

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

doi:10.1109/mmet.2014.6928739

Cited by 4 publications

(4 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The standard theory of solutions branching [12] leads to a system of two linear integral equations for the branching points . j c c = In our case, the integro-transcendental equations systems like (11) can be also obtained for these points and the parameters Nk η at them.…”

Section: Polynomial Representation Of Solutionsmentioning

confidence: 75%

“…The integro-transcendental equation system (11) can be solved by the modified Newton method [9]. The vector of unknowns in this method is formed as the aggregate of all real values: ( ) f ξ , [ 1,1] …”

Section: Numerical Algorithm and Resultsmentioning

confidence: 99%

“…In the case when the parameter μ is fixed and equation (11d) does not participate in the system (11), the last blockrow in system (12) together with the last block-row and blockcolumn in its matrix (13) should be omitted. Here we demonstrate the proposed approach on the linear antenna synthesis problems considered in [6].…”

Section: Numerical Algorithm and Resultsmentioning

confidence: 99%

See 2 more Smart Citations

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

Andriychuk

Bulatsyk

Voitovich

2014

2014 XIXth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

Self Cite

View full text Add to dashboard Cite

The antenna synthesis problem according to the prescribed power radiation pattern with the equality norm condition is solved by the approach based on the concept of generating polynomials. The variational formulation, supplied by the Lagrange method of multipliers, is applied. The modified Newton method is used for numerical solving of the respective integro-transcendental equation systems. The approach was numerically tested on the example of the antenna synthesis problem, recently solved directly by the Newton method. Numerical results are compared and analyzed. Index Terms-Power synthesis problem; linear antenna; nonlinear integral equation; polynomial representation of solutions; modified Newton method.

show abstract

Section: Polynomial Representation Of Solutionsmentioning

confidence: 75%

Section: Numerical Algorithm and Resultsmentioning

confidence: 99%

Section: Numerical Algorithm and Resultsmentioning

confidence: 99%

See 1 more Smart Citation

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

Andriychuk

Bulatsyk

Voitovich

2014

2014 XIXth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)

Self Cite

View full text Add to dashboard Cite

show abstract

“…This approach is based on the exact representation of solutions to the respective nonlinear integral equation by complex polynomials of low degree; it was generalized and described in detail in [6]. Its application to the problem of antenna synthesis by the power criterion is given in [25] [26] [27].…”

Section: Introductionmentioning

confidence: 99%

The Radiation System Synthesis by the Power Criterion as a Problem of Optimization with Restrictions

Andriychuk¹,

Podlevskyi²

2018

JAMP

Self Cite

View full text Add to dashboard Cite

A nonlinear synthesis problem of antennas according to the prescribed power (squared amplitude) radiation pattern (RP) is considered in the variational statement that yields in the possibility to take into account an additional restriction to the synthesized power RP. The problem of synthesis consists of finding such currents in antenna, which generates the RP with the best approximation to the given one. The respective Euler's equation is reduced on the basis of used functional. This is nonlinear integral equation of Hammerstein's type. The effective numerical methods are elaborated and applied for its solving. The computational results verify the effectiveness of approach proposed.

show abstract

Method for suppressing side lobes of a linear phased antenna array using amplitude and phase distributions

Klimov

Konov

Belevtsev

et al. 2020

Millimetre Wave and Terahertz Sensors and Technology XIII

View full text Add to dashboard Cite

Polynomial approach to linear antenna array synthesis problem according to power radiation pattern with restriction on its norm

Cited by 4 publications

References 2 publications

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

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

The Radiation System Synthesis by the Power Criterion as a Problem of Optimization with Restrictions

Method for suppressing side lobes of a linear phased antenna array using amplitude and phase distributions

Contact Info

Product

Resources

About