diffraction of circular aperture

[engineer]

applications

Hi!
What're the applications of Bessel and Legendre's functions
thanks in advance

 

[thuvan]

Re: applications

Bessel function : theory of diffraction (diffraction of circular aperture), quantum mechanics (solution of Bessel equation for particle in potential well).
Legendre : quantum mechanics (eigenfunction of operator of angular momentum).

 

[engineer]

Re: applications

What about electrical applications?

 

[rfmw]

Re: applications

If I remember right, the Bessel's function determines the frequency spectrum components in the case of FM modulation.

 

[engineer]

Re: applications

thanks but
is it right to say that I can get frequency spectrum components using Fourier analysis?
is there any other applications for Bessel and Legendre's functions?

 

[engineer]

Re: applications

Legendre : quantum mechanics (eigenfunction of operator of angular momentum).

I'm studying electrical engineering.. can anybody help me and tell me..
What're the electrical applications of Legendre function?
Best Regards

 

[steve10]

Re: applications

"I'm studying electrical engineering.. can anybody help me and tell me..
What're the electrical applications of Legendre function?"
====================

Your questions sound unusual to me. It's fair to say that you can always find a way to solve your problems without these special functions. However, have you tried to solve a partial differential euqation of second order, like wave equation, heat equation or harmonic equation in a region, say, a ball, a cone, etc? Those functions will be functioning to the problems just like the eigenvectors to a matrix.

 

[freewilly30]

Re: applications

bessel function is used to show that the spectrum of fm signals ( such as single tones) are theoritcally infinite...
actually fourier transform wouldnot be capable of showimg that standalone..
the expression is difficult to be shown by direct fourier transform

 

[hamidr_karami]

Re: applications

hi
the applications of Bessel and Legendre's functions
are in many parts of science
for more information about it you can refer
"numeric method in EM" by Sadiku
bye