Efficient and accurate numerical-projection of electromagnetic multipoles for scattering objects

Area of Science:

• Computational electromagnetics
• Numerical analysis
• Nanophotonics

Background:

• Multipole decomposition is crucial for analyzing electromagnetic scattering.
• Existing numerical integration methods can be computationally intensive.
• Efficient and accurate decomposition is needed for complex nanostructures.

Purpose of the Study:

• To develop an efficient and accurate numerical procedure for electromagnetic multipole decomposition.
• To validate the proposed method using various nanosphere models.
• To compare the method's accuracy against established theories and simulations.

Main Methods:

• Utilized Lebedev and Gaussian quadrature methods for numerical integration.
• Implemented surface and volume integration projection techniques.
• Demonstrated accuracy and efficiency with a unit sphere and regular tetrahedron.

Main Results:

• The proposed multipole decomposition procedure shows high accuracy and numerical efficiency.
• Validated results for isotropic and anisotropic nanospheres are consistent with Mie theory.
• The method aligns with symmetry constraints and finite element simulations.

Conclusions:

• The Lebedev and Gaussian quadrature-based multipole decomposition is a reliable and efficient technique.
• This method provides a computationally advantageous approach for electromagnetic scattering analysis.
• The validated procedure is suitable for analyzing complex dielectric nanospheres.