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MathGroup Archive 2002

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Is it possible?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33775] Is it possible?
  • From: Zekeriya Muslu <zekeriya at netas.com.tr>
  • Date: Tue, 16 Apr 2002 03:50:23 -0400 (EDT)
  • Organization: Nortel
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Dear News-Group, 

I am beginner to mathematica, I have learned to use Bessel
and Hankel functions, 
but still I could not solved my following equation: 

J1(x): first kind Bessel Function,  1. order 
J0(x): first kind Bessel function,  0. order 
H1(x): second kind Hankel function, 1. order 
H0(x): second kind Hankel function, 0. order 

kt1 = sqrt(w mu1(w epsilon1 - j sigma1) + gamma^2) 
kt2 = sqrt(w mu2(w epsilon2 - j sigma2) + gamma^2) 

Known Parameters:   mu1, mu2, epsilon1, epsilon2, sigma1, sigma2, r0,
omega 
Unknown Parameter:  only gamma 

the difficult equation is follows: 

J1(kt1  r0)  (j omega epsilon1 + sigma1)     H1(kt2  r0)  (j omega epsilon2 + sigma2) 
-----------   --------------------------  =  ----------- --------------------------- 
J0(kt1  ro)      kt1  r0                     H0(kt2 r0)         kt2  r0 
  

This is my equation containing different order Bessel and Hankel 
functions that uses kt1 and kt2 which are function of gamma. 

I think this is very difficult equation to solve.  
Is it possible to solve it by using mathematica? 
I couldn't build any alghoritm.  Could you help me please? 

Best regards, 
zekeriya.


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