The method of partial intersecting domains for the investigation of waveguide-resonator systems having a complex shape

The problem of creating virtual oscilloscope of complex reflection coefficient based on the electromagnetic approach using E-plane cross-shaped splitter at the measurement transducer is studied. System of the integral equation describing scattering waves by the E-cross is solved. Intrinsic convergence of numeric algorithm is investigated in conventional and modified forms. Influence of accuracy of electromagnetic model on errors of magnitude of reflection of vibrating load is demonstrated.

show abstract

“…Problem (1) is solved by method of overlapping regions [6]. All inner region of divider is decomposed into two subregions.…”

Section: Rigorous Calculation Of Scattering Matrix Of E-plane Crossmentioning

confidence: 99%

Electromagnetic model of E-cross for sixport reflectometer

Карлов

Borulko

2012

2012 International Conference on Mathematical Methods in Electromagnetic Theory

View full text Add to dashboard Cite

show abstract

“…The integral equation method is also widely used for solving diffraction problems in waveguides [6][7][8][9]. The paper [6] is devoted to the analysis of electromagnetic wave diffraction on waveguide phased array antennas (PAA) using both integral equation and mode matching method.…”

Section: Introductionmentioning

confidence: 99%

“…Through the use of Green's functions, the initial problem is reduced to a Fredholm integral equation of second kind that is solved by iteration method. According to overlapping partial domain method [9] the resulting integral equations are solved with the Galerkin's method.…”

Section: Introductionmentioning

confidence: 99%

An integral equation technique for the analysis of phased array antenna with matching step discontinuities

Gnatyuk

Mоrоzоv

2018

JPhysElectron

View full text Add to dashboard Cite

Applying the integral equation method of overlapping partial domains and the Schwartz alternating method to solving an electromagnetic wave diffraction problem is considered in this paper. The infinite rectangular waveguide phased array antenna scanning in H plane which waveguides have step matching discontinuities is represented. The whole field definition domain is sliced into three overlapping partial domains. The system of integral representations for unknown Ey components of the electrical field vector in each domain is set up using Greenʼs functions. Unknown functions in each domain are presented as orthogonal eigenfunction series. Using Galerkinʼs procedure, the system of integral representations is reduced to the system of linear equations for unknown expansion coefficients. For Schwartz method the system of integral representation is solved using iterative methods. The dependences of the reflection coefficient magnitude and phase on the value of scan angle are obtained. The comparison of obtained results for particular cases with known ones is performed.

show abstract

“…Таким образом, задача формулируется в виде интегрального уравнения Фредгольма второго рода, решение которого выполняется методом итераций. Согласно методу частичных пересекающихся областей (МЧПО) [9] итоговое интегральное уравнение, получаемое в результате описанной выше процедуры, решается методом Галеркина.…”

unclassified