Re: NE

From: Ben Hadj Slama Jaleleddine <slama_at_email.domain.hidden>
Date: Thu Oct 17 08:48:32 1996

attached mail follows:


> Mr. Jaleleddine,
>
> Equation (92) in the NEC-2 theory manual seems to be correct. Comparing
> equation (84) to (71) it can be seen that
>
> G_2=1/(2*Pi)\int_0^{2*Pi} G. (\hat{rho} \cdot \hat{rho}')/rho' d\phi
>
> which, with the equation following equation (83) leads to rho'^2 in the
> denominator. The square is needed to be dimensionally correct. The
> most recent NEC-2 manual is dated January 1981.
>
>
> Jerry Burke
> LLNL

Equation (84) relative to Extended Thin-wire approximation

 can be written as: E(rho,z)=X*Y2

where X=-j(mu)/(2*k*k*lamda*rho)
and Y2=[(z'-z)I....G2..........

Equation (71) relative to Thin-wire approximation

 can be written as: E(rho,z)=X*Y0
and Y0=[(z'-z)I....G0..........

if a ---> 0, (Extended Thin-wire approximation) ---> (Thin-wire approximation)
                                (84) ---------------> (71)

However: if a ---> 0, according to Equation (92) : G2 ---> G0/rho

and Y2 ---> Y0/rho

so, E(rho,z)=X*Y2 ---> X*Y0/rho to be compared to Equat. (71): E(rho,z)=X*Y0 !

In conclusion, I think that the error may be in Equation (84)
which must be :
                E(rho,z)=rho*X*Y2 and not E(rho,z)=X*Y2
                
Ben Hadj Slama

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			BEN HADJ SLAMA Jaleleddine
				CEGELY-ECL 
		      36, Av Guy de collongue BP 163
			69131 Ecully cedex FRANCE
		     Tel:(33)72.18.61.05  Fax:(33)78.43.37.17
			email: 	slama_at_trotek.ec-lyon.fr
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Received on Thu Oct 17 1996 - 08:48:32 EDT

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