Integral Equation Methods for Near-Field Far-Field Transformation

Authors

  • Carsten H. Schmidt Lehrstuhl für Hochfrequenztechnik, Technische Universität München, 80290 München, Germany
  • Thomas F. Eibert Lehrstuhl für Hochfrequenztechnik, Technische Universität München, 80290 München, Germany

Keywords:

Integral Equation Methods for Near-Field Far-Field Transformation

Abstract

Antenna measurements are often carried out in the radiating near-field of the antenna under test. Near-field transformation algorithms determine an equivalent sources representation of the antenna in an inverse process and field values in almost arbitrary distances can be computed. In this paper two integral equation methods for the near-field transformation are presented, which are especially suitable for electrically large antennas, irregular sample point distributions, higher order probes, and non-ideal measurement environments.

Downloads

Download data is not yet available.

References

C. A. Balanis, Modern Antenna Handbook.

John Wiley & Sons, Inc., 2008.

G. Hindman and D. S. Fooshe, “Probe Cor-

rection Effects on Planar, Cylindrical and

Spherical Near-Field Measurements,” An-

ACES JOURNAL, VOL. 25, NO. 1, JANUARY 2010

tenna Measurement Techniques Association

Conference, 1998.

A. D. Yaghjian, ”An Overview of Near-

Field Antenna Measurements,” IEEE Trans.

Antennas Propag., vol. 34, no. 1, pp. 30-45,

Jan. 1986.

J. Hansen, Spherical Near-Field Antenna

Measurements. Exeter, U.K.: IEE Electro-

magnetic Wave Series 26, 1988.

D. Kerns, “Plane-Wave Scattering-Matrix

Theory of Antennas and Antenna-Antenna

Interactions,” National Bureau of Stan-

dards, Boulder CO, 1981.

R. C. Wittmann, B. K. Alpert, and M. H.

Francis, “Near-Field Spherical-Scanning

Antenna Measurements With Nonideal

Probe Locations,” IEEE Trans. Antennas

Propag., vol. 52, no. 8, pp. 2184–2186, Au-

gust 2004.

R. C. Wittmann, B. K. Alpert, and M. H.

Francis, “Near-Field Antenna Measure-

ments Using Nonideal Measurement Loca-

tions,” IEEE Trans. Antennas Propag. , vol.

, pp. 716–722, May 1998.

M. M Leibfritz and F. M. Landstorfer, “Full

Probe Correction for Near-Field Antenna

Measurements,” IEEE APS International

Symposium, Albuquerque, USA, 2006.

T. K. Sarkar and A. Taaghol, ”Near-Field to

Near/Far-Field Transformation for Arbitrary

Near-Field Geometry Utilizing an Equiva-

lent Electric Current and MoM,”’ IEEE

Trans. Antennas Propag., vol. 47, no. 3, pp.

-573, March 1999.

K. Persson and M. Gustafsson, “Recon-

struction of Equivalent Currents Using a

Near-Field Data Transformation - with Ra-

dome Application,” Progress In Electro-

magnetics Research, PIER 54, pp. 179–198,

Y. Alvarez, F. Las-Heras, and M. R. Pino,

“Reconstruction of Equivalent Currents Dis-

tribution Over Arbitrary Three-Dimensional

Surfaces Based on Integral Equation Algo-

rithms,” IEEE Trans. Antennas Propag. ,

vol. 55, no. 12, pp. 3460–3468, Dec. 2007.

T. F. Eibert and C. H. Schmidt, “Multilevel

Fast Multipole Accelerated Inverse Equiva-

lent Current Method Employing Rao-

Wilton-Glisson Discretization of Electric

and Magnetic Surface Currents,” IEEE

Trans. Antennas Propag., vol. 57, no. 4, pp.

-1185, April 2009.

R. Coifman, V. Rokhlin, and S. Wandzura,

“The Fast Multipole Method for the Wave

Equation: A Pedestrian Prescription,” IEEE

Antennas and Propag. Mag., vol. 35, no. 3,

pp. 7–12, Jun. 1993.

W. C. Chew, J. M. Jin, E. Michielssen, and

J. M. Song, Fast and Efficient Algorithms in

Computational Electromagnetics , Artech

House, Inc, 2001.

C. H. Schmidt, M. M. Leibfritz, and T. F.

Eibert, ”Fully Probe-Corrected Near-Field

Far-Field Transformation Employing Plane

Wave Expansion and Diagonal Translation

Operators,” IEEE Trans. Antennas Propag.,

vol. 56, no. 3, pp. 737-746, March 2008.

S. M. Rao, D. R. Wilton, and A. W. Glis-

son, ”Electromagnetic Scattering by Sur-

faces of Arbitrary Shape,” IEEE Trans. An-

tennas Propag., vol. 30, no. 3, pp. 409-418,

May 1982.

A. Tzoulis and T.F. Eibert, “Efficient Elec-

tromagnetic Near-Field Computation by the

Multilevel Fast Multipole Method Employ-

ing Mixed Near-Field/Far-Field Transla-

tions,” IEEE Antennas Wireless Propag.

Lett., vol. 4, pp. 449–452, 2005.

Y. Saad, Iterative Methods for Sparse Lin-

ear Systems, Society for Industrial and Ap-

plied Mathematics, 2nd edn., 2003.

Nearfield Systems Inc.,

http://www.nearfield.com.

C. H. Schmidt and T. F. Eibert, “Multilevel

Plane Wave Based Near-Field Far-Field

Transformation for Electrically Large An-

tennas in Free-Space or Above Material

Halfspace,” IEEE Trans. Antennas Propag.,

vol. 57, no. 5, pp. 1382-1390, May 2009.

C. H. Schmidt and T. F. Eibert, “Hybrid

Multilevel Plane Wave Based Near-Field

Far-Field Transformation Utilizing Com-

bined Near- and Far-Field Translations,”

Advances in Radio Science, vol. 7, pp. 17-

, 2009.

A. Tzoulis and T. F. Eibert, “A Hybrid

FEBI-MLFMM-UTD Method for Numeri-

cal Solutions of Electromagnetic Problems

Including Arbitrarily Shaped and Electri-

cally Large Objects,” IEEE Trans. Antennas

SCHMIDT, EIBERT: INTEGRAL EQUATION METHODS FOR NEAR-FIELD FAR-FIELD TRANSFORMATIONS

Propag., vol. 53, no. 10, pp. 3358-3366,

Oct. 2005.

C. H. Schmidt and T. F. Eibert, “Near-Field

Far-Field Transformation in Echoic Meas-

urement Environments Employing Scatter-

ing Center Representations,” 3rd European

Conference on Antennas and Propagation ,

Berlin, Germany, March 2009

Downloads

Published

2022-06-17

How to Cite

[1]
C. H. . Schmidt and T. F. . Eibert, “Integral Equation Methods for Near-Field Far-Field Transformation”, ACES Journal, vol. 25, no. 1, pp. 15–22, Jun. 2022.

Issue

Section

General Submission