Low-frequency stability of the Razor blade tested MFIE

Bogaert, Ignace; Andriulli, Francesco P.; Cools, Kristof

doi:10.1109/iceaa.2013.6632317

“…It is worthwhile to point out that this summation can also be applied to the more general (4), yielding identical results. This is of significant practical importance for the evaluation of impedance integrals for the razor-blade tested MFIE [15,16]. Indeed, up to a change in the Green's function, the impedance integrals have exactly the same structure as (4).…”

Section: Brief Derivation For a Triangle-line Integralmentioning

confidence: 97%

On the analytical treatment of singular impedance integrals in electromagnetics

Bogaert

¹

2013

2013 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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-A method is presented for reducing the number of subsequent integrations in impedance integrals containing the dynamic Green's function. The method works whenever a point can be found that is coplanar (or collinear) to both the basis and test support. This is always the case for singular impedance integrals. As an example, explicit formulas are given for the self-patch impedance integrals for the electric field integral equation.

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“…There exist numerous approaches to fix the MFIE accuracy issues only for a subset of its problematic scenarios. For low-frequency scenarios, the razor-blade testing functions are worth mentioning [16]. For high-frequency scenarios, there are probably too many to list them all.…”

Section: Introductionmentioning

confidence: 99%

Accuracy Analysis of Div-Conforming Hierarchical Higher-Order Discretization Schemes for the Magnetic Field Integral Equation

Kornprobst¹,

Eibert²

2022

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0

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<p>The magnetic field surface integral equation for perfect electrically conducting scatterers suffers from accuracy problems when discretized with lowest-order Rao-Wilton-Glisson (RWG) functions. For high-frequency scattering scenarios, one of the various reported countermeasures are hierarchical higher-order (HO) functions. We demonstrate that the accuracy of these HO methods of up to 1.5th order may be further improved by employing a weak-form discretization scheme for the identity operator inside the magnetic field integral equation (MFIE), in particular for scatterers with sharp edges. As expected, the presented numerical results indicate that this approach becomes less effective for increasing order. Moreover, since the weak-form discretization overcomes only the anisotropy problems of the standard discretizations, parts of the accuracy problems of the MFIE persist for HO discretizations if the testing is performed with non dual-space conforming functions.</p>

show abstract

“…There exist numerous approaches to fix the MFIE accuracy issues only for a subset of its problematic scenarios. For low-frequency scenarios, the razor-blade testing functions are worth mentioning [16]. For high-frequency scenarios, there are probably too many to list them all.…”

Section: Introductionmentioning

confidence: 99%

Accuracy Analysis of Div-Conforming Hierarchical Higher-Order Discretization Schemes for the Magnetic Field Integral Equation

Kornprobst¹,

Eibert²

2022

Preprint

0

View full text Add to dashboard Cite

<p>The magnetic field surface integral equation for perfect electrically conducting scatterers suffers from accuracy problems when discretized with lowest-order Rao-Wilton-Glisson (RWG) functions. For high-frequency scattering scenarios, one of the various reported countermeasures are hierarchical higher-order (HO) functions. We demonstrate that the accuracy of these HO methods of up to 1.5th order may be further improved by employing a weak-form discretization scheme for the identity operator inside the magnetic field integral equation (MFIE), in particular for scatterers with sharp edges. As expected, the presented numerical results indicate that this approach becomes less effective for increasing order. Moreover, since the weak-form discretization overcomes only the anisotropy problems of the standard discretizations, parts of the accuracy problems of the MFIE persist for HO discretizations if the testing is performed with non dual-space conforming functions.</p>

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Low-frequency stability of the Razor blade tested MFIE

Cited by 6 publications

References 10 publications

On the analytical treatment of singular impedance integrals in electromagnetics

On the analytical treatment of singular impedance integrals in electromagnetics

Accuracy Analysis of Div-Conforming Hierarchical Higher-Order Discretization Schemes for the Magnetic Field Integral Equation

Accuracy Analysis of Div-Conforming Hierarchical Higher-Order Discretization Schemes for the Magnetic Field Integral Equation

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