A Novel Single-Source Surface Integral Method to Compute Scattering From Dielectric Objects

Patel, Utkarsh R.; Triverio, Piero; Hum, Sean V.

doi:10.1109/lawp.2017.2669183

Cited by 29 publications

(34 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to the equivalence theorem, the surface equivalent electric current density J = H t − H t and the surface equivalent magnetic current density M = E t − E t should be introduced on the boundary of the equivalent structure. By make the tangential electric fields inside the boundary between the original and equivalent configurations equal to each other, namely E t = E t , the surface equivalent magnetic current density vanishes, and a SS-SIE can be obtained, as shown in [9]. Therefore, to derive the equivalent model in Fig.…”

Section: Methodology a Problem Configurationsmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Single Source Surface Integral Equation for Electromagnetic Analysis by Multilayer Embedded Objects

Zhou

Zhu

Yang

et al. 2019

2019 International Applied Computational Electromagnetics Society Symposium - China (ACES)

View full text Add to dashboard Cite

This paper presents a new single-source surface integral equation (SS-SIE) to model composite penetrable objects. In the proposed formulation, the surface electric and magnetic fields on all interior boundaries are first eliminated through combining integral solutions inside each object. Then, by enforcing the surface electric fields in the original and equivalent configurations are equal to each other, an equivalent model with only the electric current density on the outermost boundaries is derived. Compared with other SIEs, like the PMCHWT formulation, all unknowns are residing on the outermost boundaries in the proposed formulation and therefore, less count of unknowns can be obtained. Finally, two numerical examples are carried out to validate the effectiveness of the proposed SS-SIE.

show abstract

Section: Methodology a Problem Configurationsmentioning

confidence: 99%

“…By moving E 3 and E 3 in (5) and (9) to the left hand side (LHS) and using (11), E 3 and E 3 can be eliminated. Then, by further incorporating (12), we get…”

Section: B the Original Problemmentioning

confidence: 99%

A Novel Single Source Surface Integral Equation for Electromagnetic Analysis by Multilayer Embedded Objects

Zhou

Zhu

Yang

et al. 2019

2019 International Applied Computational Electromagnetics Society Symposium - China (ACES)

View full text Add to dashboard Cite

show abstract

“…Therefore, the magnetic equivalent current in (8) is zero and only a single equivalent current source is required to model the scatterer. This singlesource equivalence approach has been successfully applied to model 3D dielectrics [24], [31] and conductors [32].…”

Section: B Equivalence Theoremmentioning

confidence: 99%

“…where T m is the transfer matrix that relates the electric current density on S m to the equivalent electric current density on S m . Since this formulation does not require an equivalent magnetic current density [24], the proposed formulation is simpler and more efficient than other algorithms in the literature based on the equivalence principle [20].…”

Section: F Equivalent Currentmentioning

confidence: 99%

A Macromodeling Approach to Efficiently Compute Scattering from Large Arrays of Complex Scatterers

Patel

Triverio

Hum

2018

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

Full-wave electromagnetic simulations of electrically large arrays of complex antennas and scatterers are challenging, as they consume large amount of memory and require long CPU times. This paper presents a new reduced-order modeling technique to compute scattering and radiation from large arrays of complex scatterers and antennas. In the proposed technique, each element of the array is replaced by an equivalent electric current distribution on a fictitious closed surface enclosing the element. This equivalent electric current density is derived using the equivalence theorem and it is related to the surface currents on the scatterer by the Stratton-Chu formulation. With the proposed approach, instead of directly solving for the unknown surface current density on the scatterers, we only need to solve for the unknowns on the equivalent surface. This approach leads to a reduction in the number of unknowns and better conditioning when it is applied to problems involving complex scatterers with multiscale features. Furthermore, the proposed approach is accelerated with the adaptive integral equation method to solve large problems. As illustrated in several practical examples, the proposed method yields speed up of up to 20 times and consumes up to 12 times less memory than the standard method of moments accelerated with the adaptive integral method.Index Terms-surface integral equation method, macromodel, equivalence theorem, adaptive integral equation method, multiscale problems, reduced-order modeling

show abstract

“…The method has since been successfully extended to other 2-D shapes [35], [36] and has been applied to the calculation of the parameters for general multiconductor transmission lines [6] and in the analysis of periodic structures [37]. A generalization to arbitrary 2-D shapes based on a contour integral has been presented as well [9] and employed in the context of scattering [38] and interconnect modeling [39], [40] but since it reintroduces the Green's function of the conducting medium it encounters the same problems as the traditional BIE methods.…”

Section: Introductionmentioning

confidence: 99%

Entire Domain Basis Function Expansion of the Differential Surface Admittance for Efficient Broadband Characterization of Lossy Interconnects

Huynen

Kapusuz

Sun

et al. 2020

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

This paper presents a full-wave method to characterize lossy conductors in an interconnect setting. To this end, a novel and accurate differential surface admittance operator for cuboids based on entire domain basis functions is formulated. By combining this new operator with the augmented electric field integral equation, a comprehensive broadband characterization is obtained. Compared to the state-of-the-art in differential surface admittance operator modeling, we prove the accuracy and improved speed of the novel formulation. Additional examples support these conclusions by comparing results with a commercial software tool and with measurements.

show abstract

A Novel Single-Source Surface Integral Method to Compute Scattering From Dielectric Objects

Cited by 29 publications

References 16 publications

A Novel Single Source Surface Integral Equation for Electromagnetic Analysis by Multilayer Embedded Objects

A Novel Single Source Surface Integral Equation for Electromagnetic Analysis by Multilayer Embedded Objects

A Macromodeling Approach to Efficiently Compute Scattering from Large Arrays of Complex Scatterers

Entire Domain Basis Function Expansion of the Differential Surface Admittance for Efficient Broadband Characterization of Lossy Interconnects

Contact Info

Product

Resources

About