Synthesis of Antenna Systems According to the Desired Amplitude Radiation Characteristics

Andriychuk, Mykhaylo

doi:10.5772/46164

Cited by 4 publications

(13 citation statements)

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“…The typical synthesis problem of antenna is reduced to creating the current or field distribution in antenna construction, which produces the prescribed radiation data. In our consideration, the amplitude directivity pattern (DP) is considered as such feature [6]; there various problems of optimization belonging to the different types of antenna systems were examined. The optimization problem is stated in the variational form because the given amplitude DP can not be formed exactly.…”

Section: Introductionmentioning

confidence: 99%

“…The variational formulation the antenna synthesis optimization problems was proposed for the first time in [17]; as a part of this research, the theoretical base, which enables to get a portion of information regarding the solutions of problems, was developed later in [5]. Since not complex DP of the antenna is optimizing function, but only its amplitude, the variational formulation of the synthesis problem by the amplitude DP leads to the need to solve the non-linear integral equations.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, we need to use the numerical methods to solve such equations, because the solution cannot be derived analytically. A series of such methods was developed in [17]. The above method is characterized by that we start with an initial approximation having some property of the phase of DP, and the resulting solution is determined in class of functions, which have the same property of phase DP.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed approach correlates with the variety of Newton methods developed in [19]; and it can be effectively applied to solve a series of engineering problems for antennas of different kinds. The developed methods were applied in [6] at solving the synthesis problems of microstrip antennas, planar arrays, and antennas with waveguide excitation. The initial requirement while solving the problem of synthesis knows the recipe how the antenna's DP should be calculated.…”

Section: Introductionmentioning

confidence: 99%

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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

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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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

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“…The power DP is usually applied in the process of solving the synthesis problems for many practical applications [1]. Use of variational approach, developed there, enables to solve the synthesis problem for complicate antennas and arrays.…”

Section: Introductionmentioning

confidence: 99%