ScholarLens Back to search
2013•IEEE Antennas and Wireless Propagation LettersRequires access

Improving the Spherical Harmonics Expansion-Based Multilevel Fast Multipole Algorithm (SE-MLFMA)

Mang He, Jinbo Liu, Kang Zhang

Open publisher page 11 citations

Abstract

The spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA) is improved by using the mixed-potential representation of the combined field integral equation (CFIE) that is different from the most commonly used dyadic formulation in the existing MLFMA literature. The memory storage requirement and computation time for the spherical harmonics expansion of the radiation patterns of the basis functions are reduced effectively. Numerical results show that for the solution of CFIE, the memory cost by the radiation patterns is less than half of that in the conventional SE-MLFMA proposed by Eibert without any loss of accuracy.

About this research paper

What this paper is about

The spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA) is improved by using the mixed-potential representation of the combined field integral equation (CFIE) that is different from the most commonly used dyadic formulation in the existing MLFMA literature. The memory storage requirement and computation time for the spherical harmonics expansion of the radiation patterns of the basis functions are reduced effectively. Numerical results show that for the solution of CFIE, the memory cost by the radiation patterns is less than half of that in the conventional SE-MLFMA proposed by Eibert without any loss of accuracy.

Why it matters

OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA) is improved by using the mixed-potential representation of the combined field integral equation (CFIE) that is different from the most commonly used dyadic formulation in the existing MLFMA literature. The memory storage requirement and computation time for the spherical harmonics expansion of the radiation patterns of the basis functions are reduced effectively. Numerical results show that for the solution of CFIE, the memory cost by the radiation patterns is less than half of that in the conventional SE-MLFMA proposed by Eibert without any loss of accuracy.

Key concepts: Multipole expansion, Spherical harmonics, Vector spherical harmonics, Spin-weighted spherical harmonics, Computation, Zonal spherical harmonics, Harmonics, Representation (politics)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Improving the Spherical Harmonics Expansion-Based Multilevel Fast Multipole Algorithm (SE-MLFMA) — Research Paper | ScholarLens