An Efficient Broadband Analysis of an Antenna via 3D FEM and Pade Approximation in the Frequency Domain

Authors

  • Brahim Essakhi LGEP, UMRS 8507 CNRS, SUPELEC, UNIVERSITE PARIS SUD, UNIVERSITE PIERRE ET MARIE CURIE Plateau du Moulon, 91192 Gif-sur-Yvette, France
  • Lionel Pichon LGEP, UMRS 8507 CNRS, SUPELEC, UNIVERSITE PARIS SUD, UNIVERSITE PIERRE ET MARIE CURIE Plateau du Moulon, 91192 Gif-sur-Yvette, France

Keywords:

An Efficient Broadband Analysis of an Antenna via 3D FEM and Pade Approximation in the Frequency Domain

Abstract

The paper presents a finite element model for the calculation of the impedance of an antenna over a wide frequency band. The antenna has been designed to analyze a rectenna (rectifying antenna) in the context of wireless microwave energy transfer. The modelling approach combines a 3D edge element method (FEM) with a Padé approximation procedure. It allows to obtain an explicit expression of the impedance over a large frequency band. The comparison of the proposed technique with a standard finite element method shows that the computational cost is significantly reduced.

Downloads

Download data is not yet available.

References

P. Leroy, G. Akoun, B. Essakhi, L.

Santandrea, and L. Pichon, “An efficient

global analysis of a rectenna using the

combination of full-wave model and a rational

approximation,” EPJ-European physical

journal, Vol. 29, pp 39-45, 2005.

D. Jiao, X. Y. Zhu, and J. M. Jin, “Fast and

accurate frequency-sweep calculation using

asymptotic waveform evaluation and

combined-field integral equation,” Radio

Science, Vol. 34, No. 5, Pages 1055-1063,

September-October 1999.

Y. E. Erdemli, J. Gong, C. J. Reddy, and J. L.

Volakis, “Fast RCS Pattern Fill Using AWE

Technique,” IEEE Transactions on Antenna

and Propagation, Vol. 46, No.11, November

C. J. Reddy, M. D. Deshpande, C. R.

Cockrell, and F. B. Beck. “Fast RCS

Computation over a frequency band using

method of moments in conjunction with

asymptotic waveform evaluation technique,”.

IEEE Transactions on Antenna and

Propagation, Vol. 46, No. 8 August 1998.

S.V. Polstyanko, R. Dyczij-Edlinger, and J.F

Lee, “A fast frequency sweep technique for

the efficient analysis of dielectric

wavaguides,” IEEE Transaction on

microwave theory and techniques, Vol. 45,

No. 7, pp 1118-1126, July 1997.

X.M Zhang, and J.F Lee, “Application of the

AWE Method with the 3-D TVFEM to model

responses of passive microwave components,”

IEEE Transaction on microwave theory and

techniques, Vol. 46, No. 11, pp 1735-1741,

November1998.

J.E Bracken, D.K Sun, and Z.J. Cendes, “SDomain Methods for Simultaneous Time and

Frequency Characterization of

2 4 6 8 10 12 14 16 18 20 101

IMPEDANCE

FREQUENCY(GHz)

AMPLITUDE(OHMS)

FEM

FEM(PADE)

Fig. 4. The Amplitude : The comparison between

D model and the Pade approximation

/2] over four bands.

2 4 6 8 10 12 14 16 18 20 -2.5

-2

-1.5

-1

-0.5

5

IMPEDANCE

FREQUENCY(GHz)

ARGUMENT(RAD)

FEM DIRECT COMP

FEM PADE APPRX

Fig. 5. Argument of the impedance: The

comparison between 3D model and the

pade approximation [3/3] over two

bands.

ESSAKHI, PICHON: EFFICIENT BROADBAND ANALYSIS VIA 3D FEM AND PADE APPROXIMATION 147

Electromagnetic Devices,” IEEE Transaction

on microwave theory and techniques, Vol. 46,

No. 9, pp 1277-1290, September 1998.

M. Kuzuoglu, and R. Mittra, “Finite element

solution of electromagnetic problems over a

wide frequency range via the Padé

approximation,” Comput. Methods Appl.

Mech. Engrg, Vol. 169, pp 263-277, 1999.

A.K. Belhora, and L. Pichon, “Efficient

absorbing boundary conditions for the finite

element solution of 3D scattering problems,”

IEEE Transactions on Magnetics, Vol. 31,

No. 3, pp. 1534-1537, May 1995.

L. Pichon, and A. Razek, “Analysis of three

dimensional dielectric loaded cavities with

edge elements,” ACES Journal, Vol. 6, No. 2,

pp 133-142, 1991.

J.P. Webb, “Edge elements and what they can

do for you,” IEEE Transactions on Magnetics,

Vol. 25, No 2, pp. 1460-1465, March 1993.

C. Brezinski Padé-Type Approximation and

General Orthogonal Polynomials, BirkhäuserVerlag, Basel, 1980.

Downloads

Published

2022-06-18

How to Cite

[1]
B. . Essakhi and L. . Pichon, “An Efficient Broadband Analysis of an Antenna via 3D FEM and Pade Approximation in the Frequency Domain”, ACES Journal, vol. 21, no. 2, pp. 143–148, Jun. 2022.

Issue

Section

General Submission