Electromagnetic scattering analysis using a combined magnetic field integral equation for small objects with flat...

Area of Science:

• Computational Electromagnetics
• Numerical Analysis

Background:

• The traditional magnetic field integral equation (MFIE) exhibits reduced accuracy for objects with flat surfaces.
• This inaccuracy stems from the poor representation of the Green's function's contribution to scattered magnetic fields when source and field points coincide on a plane.

Purpose of the Study:

• To develop a more accurate integral equation formulation for electromagnetic scattering problems.
• To address the limitations of the traditional MFIE for objects featuring flat surfaces.

Main Methods:

• A novel formulation, the combined magnetic field integral equation (CMFIE), was developed.
• CMFIE integrates the normal magnetic field integral equation with the traditional MFIE.
• An appropriate combination parameter was introduced to recover omitted Green's function contributions.

Main Results:

• The CMFIE formulation successfully recovers the omitted Green's function contributions.
• Numerical results demonstrate significantly improved accuracy compared to the traditional MFIE.
• The enhanced accuracy is particularly notable for small objects with flat surfaces.

Conclusions:

• The proposed CMFIE formulation offers a substantial improvement in accuracy for scattering analysis of objects with flat surfaces.
• CMFIE provides a more robust and reliable method for computational electromagnetics applications involving planar geometries.