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version (49.3 KB) by Van Caekenberghe, K.; Logan, J.
Near-Field to Far-Field Transformation for Antenna Measurements


Updated 15 Jan 2014

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Near-Field to Far-Field Transformation for Antenna Measurements (NF2FF).

Hologram analysis can also be used to study near field communication (NFC) antennas.

J. Logan (,
A. P. Mynster (
M. J. Pelk (
C. Ponder (
K. Van Caekenberghe (

The script assumes:
1. Rectangular coordinate system with z axis normal to planar aperture
2. exp(j*omega*t) time dependence convention. Please, substitute i with -j whenever implementing exp(-i*omega*t) time dependence convention based algorithms.

The script uses:
1. Near field datasets of a 94 GHz slotted waveguide (U.S. Patent No.: 7,994,969) can be downloaded from:

Sought-after extensions are listed below. Please post them on the
website, if you are willing to contribute:
1. Cylindrical and spherical near field to far field transformation
2. Graphical user interface

The package also includes data acquisition scripts for reading out S-parameters from the HP 8510C and HP 8720ES network analyzers, and the Rohde & Schwarz ZVA40 network analyzer. The DAQ scripts require a MATLAB Instrument Control Toolbox license.

1. C. A. Balanis, "Antenna Theory, Analysis and Design, 2nd Ed.", Wiley, 1997. [exp(j*omega*t) time dependence convention]
2. D. Paris, W. Leach, Jr., E. Joy, "Basic Theory of Probe-Compensated Near-Field Measurements", IEEE Transactions on Antennas and Propagation, Vol. 26, No. 3, May 1978. [exp(-i*omega*t) time dependence convention]
3. A. D. Yaghjian, "Approximate Formulas for the Far Field and Gain of Open-Ended Rectangular Waveguide", IEEE Transactions on Antennas and Propagation, Vol. 32, No. 4, April 1984. [exp(-i*omega*t) time dependence convention]
4. A. D. Yaghjian, "An Overview of Near-Field Antenna Measurements", IEEE Transactions on Antennas and Propagation, Vol. 34, No. 1, June 1986. [exp(-i*omega*t) time dependence convention]
5. G. F. Masters, "Probe-Correction Coefficients Derived From Near-Field Measurements", AMTA Conference, October 7-11, 1991.
6. J. J. Lee, E. M. Ferren, D. P. Woollen, and K. M. Lee, "Near-Field Probe Used as a Diagnostic Tool to Locate Defective Elements in an Array Antenna", IEEE Transactions on Antennas and Propagation, Vol. 36, No. 6, June 1988. [exp(-i*omega*t) time dependence convention]
8. R. M. Goldstein, H. A. Zebken, and C. L. Werner, "Satellite Radar Interferometry: Two-Dimensional Phase Unwrapping", Radio Sci., Vol. 23, No. 4, pp. 713-720, 1988.
9. D. C. Ghiglia and M. D. Pritt, "Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software". Wiley-Interscience, 1998.
10. J. M. De Freitas. "SPHERE3D: A Matlab Function to Plot 3-Dimensional Data on a Spherical Surface".
QinetiQ Ltd, Winfrith Technology Centre, Winfrith,
Dorchester DT2 8XJ. UK. 15 September 2005.

Cite As

Van Caekenberghe, K.; Logan, J. (2021). NF2FF (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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