A mixed-form thin-stratified medium fast-multipole algorithm for both low and mid-frequency problems

Yongpin P. Chen, Jie L. Xiong, Weng Cho Chew

Research output: Contribution to journalArticlepeer-review


A mixed-form thin-stratified medium fast-multipole algorithm is proposed for fast simulation of general microstrip structures at both low and mid-frequencies. The newly developed matrix-friendly formula of layered medium Green's function is applied in this algorithm. For well-separated interactions, the path deformation technique is implemented to achieve a smoother and exponentially convergent integral. The two-dimensional addition theorem is then incorporated into the integrand to expedite the matrix-vector product. In our approach, multipole expansion (low-frequency fast-multiple algorithm) as well as the plane wave expansion (mid-frequency fast-multipole algorithm) of the translational addition theorem are combined into a single multilevel tree to capture quasi-static physics and wave physics simultaneously. The outgoing wave is represented first in terms of multipole expansion at leafy levels, and then switched to plane wave expansion automatically at higher levels. This seamless connection makes the algorithm applicable in simulations, where subwavelength interaction and wave physics both exist.

Original languageEnglish (US)
Article number5751641
Pages (from-to)2341-2349
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Issue number6 PART 2
StatePublished - Jun 2011
Externally publishedYes


  • Fast multipole algorithm
  • layered medium
  • mixed form
  • multipole expansion
  • plane wave expansion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'A mixed-form thin-stratified medium fast-multipole algorithm for both low and mid-frequency problems'. Together they form a unique fingerprint.

Cite this