Spherical near to far field transformation

AI Thread Summary
Transforming an antenna's nearfield pattern measured in spherical coordinates (f(theta, phi)) to obtain the farfield pattern involves complex mathematical techniques. The challenge lies in the spherical coordinate system, which differs from the 2D Fourier transform used in planar measurements. Participants in the discussion emphasize the need for specialized methods or algorithms tailored for spherical data. Suggestions include exploring spherical harmonics or numerical integration techniques to facilitate the transformation. Overall, the conversation highlights a gap in accessible resources for this specific transformation process.
Readro
Messages
2
Reaction score
0
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:
 
Physics news on Phys.org
I hate to bump a post, but does anyone have any thoughts or ideas?
 

Thread 'Bilateral and unilateral constraints'

I am going through this course on collision detection: https://siggraphcontact.github.io/ In this link is a PDF called course notes. Scrolling down to section 1.3, called constraints. In this section it is said that we can write bilateral constraints as ##\phi(\mathbf{x}) = 0## and unilateral constraints as ##\phi(\mathbf{x}) \ge 0##. I understand that, but then it says that these constraints call also be written as: $$\mathbf{J} \mathbf{u} = 0, \mathbf{J} \mathbf{u} \ge 0,$$ where...
View full post »

Thread 'Thinking Outside The Box Versus Knowing What’s In The Box'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Someone who shows interest in science is initially a welcome development. So are fresh ideas from unexpected quarters. In contrast, there is a scientific community that is meticulously organized down to the last detail, allowing little to no external influence. With the invention of social media and other sites on the internet competing for content, unprecedented opportunities have opened up for...
View full post »

Similar threads

I Transforming coordinates between Cartesian and spherical
Replies
1
Views
2K
I Transforming Cartesian Coordinates in terms of Spherical Harmonics
Replies
1
Views
4K
A Vanishing of an integral of a divergence over a closed surface
Replies
1
Views
1K
I Noethers theorem, transformations of the Lagrange density
Replies
5
Views
1K
I Contravariant Vector Transformation in Spherical Polar Coordinates
Replies
13
Views
2K
Find the field inside and outside a spherical geometry
Replies
2
Views
2K
I Velocity Vector Transformation from Cartesian to Spherical Coordinates
Replies
2
Views
4K
A How to find the displacement vector in Spherical coordinate
Replies
11
Views
6K
A Show Lagrangian is invariant under a Lorentz transformation without using generators
Replies
3
Views
1K
How to find the curl of a vector field which points in the theta direction?
Replies
33
Views
4K

Hot Threads

Recent Insights

Back
Top