On the use of combined surface integral equations for the analysis of high contrast penetrable objects
Abstract Accurate solutions of electromagnetic scattering problems involving objects made of materials with large permittivity contrasts are considered. Problems are formulated with different commonly used combined surface integral equations (SIEs). All studied formulations are discretised through t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-03-01
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| Series: | IET Microwaves, Antennas & Propagation |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/mia2.12340 |
| _version_ | 1811154956773752832 |
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| author | Moein Nazari Rouzbeh Moini Simon Fortin Farid P. Dawalibi |
| author_facet | Moein Nazari Rouzbeh Moini Simon Fortin Farid P. Dawalibi |
| author_sort | Moein Nazari |
| collection | DOAJ |
| description | Abstract Accurate solutions of electromagnetic scattering problems involving objects made of materials with large permittivity contrasts are considered. Problems are formulated with different commonly used combined surface integral equations (SIEs). All studied formulations are discretised through the method of moments with rooftop basis functions over flat quadrilaterals represented as bilinear surfaces, with razor‐blade functions being used for the testing procedure. The accuracy of the results is first investigated in detail for several frequencies and permittivity values using different numerical measures. It is shown that numerical instabilities may appear at frequencies corresponding to the physical resonances of the object, in particular in the near field and for large material parameter contrasts. The example of a dielectric resonator (DR) with cubic geometry is considered for the purpose of analysis, especially since to achieve smaller DR type antennas, it is necessary to use higher contrast materials. The accuracy of the combined surface integral equations to determine the natural resonant modes of the DR is investigated. It is found that the resonance modes can be accurately determined by exploring the radar cross section (RCS) of the DR in free space only if a proper combination of the electric and magnetic fields equations is applied. |
| first_indexed | 2024-04-10T04:25:52Z |
| format | Article |
| id | doaj.art-301252f732f44cb19e1dafb6d44bd201 |
| institution | Directory Open Access Journal |
| issn | 1751-8725 1751-8733 |
| language | English |
| last_indexed | 2024-04-10T04:25:52Z |
| publishDate | 2023-03-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Microwaves, Antennas & Propagation |
| spelling | doaj.art-301252f732f44cb19e1dafb6d44bd2012023-03-10T14:50:56ZengWileyIET Microwaves, Antennas & Propagation1751-87251751-87332023-03-0117430131210.1049/mia2.12340On the use of combined surface integral equations for the analysis of high contrast penetrable objectsMoein Nazari0Rouzbeh Moini1Simon Fortin2Farid P. Dawalibi3SafEngServices & Technologies Ltd. Laval QC CanadaSafEngServices & Technologies Ltd. Laval QC CanadaSafEngServices & Technologies Ltd. Laval QC CanadaSafEngServices & Technologies Ltd. Laval QC CanadaAbstract Accurate solutions of electromagnetic scattering problems involving objects made of materials with large permittivity contrasts are considered. Problems are formulated with different commonly used combined surface integral equations (SIEs). All studied formulations are discretised through the method of moments with rooftop basis functions over flat quadrilaterals represented as bilinear surfaces, with razor‐blade functions being used for the testing procedure. The accuracy of the results is first investigated in detail for several frequencies and permittivity values using different numerical measures. It is shown that numerical instabilities may appear at frequencies corresponding to the physical resonances of the object, in particular in the near field and for large material parameter contrasts. The example of a dielectric resonator (DR) with cubic geometry is considered for the purpose of analysis, especially since to achieve smaller DR type antennas, it is necessary to use higher contrast materials. The accuracy of the combined surface integral equations to determine the natural resonant modes of the DR is investigated. It is found that the resonance modes can be accurately determined by exploring the radar cross section (RCS) of the DR in free space only if a proper combination of the electric and magnetic fields equations is applied.https://doi.org/10.1049/mia2.12340computational electromagneticsdielectric resonatorsintegral equationsmethod of momentsscattering |
| spellingShingle | Moein Nazari Rouzbeh Moini Simon Fortin Farid P. Dawalibi On the use of combined surface integral equations for the analysis of high contrast penetrable objects IET Microwaves, Antennas & Propagation computational electromagnetics dielectric resonators integral equations method of moments scattering |
| title | On the use of combined surface integral equations for the analysis of high contrast penetrable objects |
| title_full | On the use of combined surface integral equations for the analysis of high contrast penetrable objects |
| title_fullStr | On the use of combined surface integral equations for the analysis of high contrast penetrable objects |
| title_full_unstemmed | On the use of combined surface integral equations for the analysis of high contrast penetrable objects |
| title_short | On the use of combined surface integral equations for the analysis of high contrast penetrable objects |
| title_sort | on the use of combined surface integral equations for the analysis of high contrast penetrable objects |
| topic | computational electromagnetics dielectric resonators integral equations method of moments scattering |
| url | https://doi.org/10.1049/mia2.12340 |
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