small hertzian dipole

[delriz]

can anyone help me with writting a matlab m file that can perform these following task.
1-Compute the radiated power pattern for far field (meaning do the integral) for small hertzian dipole
2-plot the power pattern in 3D
I realize that the close form solution is hard to derive without advanced math class, please help
cheers

 

[VEBill]

First, "small" is relative. Giant, huge hertzian dipoles have exactly the same pattern as itsy-bitsy, teeny-weeny hertzian dipoles (each at their own resonant frequency).

Here's a link with some related math-stuff:

http://farside.ph.utexas.edu/teaching/jk1/lectures/node82.html

By the way, when you're done, make sure the sphere integrates to exactly 0.0 dBi.

 

[AlWingy]

I think some of what you asked for can be found in Antenna Design by Balanis, if not then that book displays a nice easy mathematically approach which you should be able to write in matlab. Using MathCAD is also very easy for postprocessing if you want to take it further