Spherical near to far field transformation

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SUMMARY

The discussion centers on transforming an antenna's nearfield pattern, represented as f(theta, phi) in spherical coordinates, into its farfield pattern. The user seeks guidance on the appropriate mathematical techniques, noting that while planar measurements utilize a 2D Fourier transform, spherical coordinates introduce complexity. The transformation process requires understanding spherical harmonics and the application of the Fourier transform in three dimensions. The user has a mathematics background, indicating a foundational understanding of the necessary concepts.

PREREQUISITES
  • Spherical harmonics
  • 3D Fourier transform techniques
  • Nearfield to farfield transformation principles
  • Mathematical modeling of antenna patterns
NEXT STEPS
  • Study the application of spherical harmonics in antenna theory
  • Learn about 3D Fourier transform methods
  • Research nearfield to farfield transformation techniques in electromagnetic theory
  • Explore software tools for simulating antenna patterns, such as MATLAB or CST Studio
USEFUL FOR

Electrical engineers, antenna designers, and researchers in electromagnetic theory who are involved in antenna pattern analysis and transformation techniques.

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Hi all,

Suppose I have measured an antenna's nearfield pattern and have a set of data f(theta, phi), where theta and phi are spherical coordinates, at a distance r from the antenna (we'll assume that the antenna is a point source to make it easier). How would I go about transforming this data to get the antenna's farfield pattern? I've tried searching the net for this but haven't found anything useful for spherical measurements. I understand that planar measurements use a 2D Fourier transform but the spherical coordinates complicate things a bit.

FYI, I have a degree in mathematics but it's been a while now so I might be a little rusty. :smile:
 
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I hate to bump a post, but does anyone have any thoughts or ideas?
 

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