> Radiation resistance should be fixed..
The current equation will do - but the radiator (I may have confused things
by referring to it as a "dipole") may be anywhere between one-half and one
wavelength long, so the current won't be a simple cosine function. It
*will* be zero at the ends :-)
73, Ward N0AX
----- Original Message -----
From: "Jim Lux" <firstname.lastname@example.org>
To: "Ward Silver" <email@example.com>; "Towertalk Reflector"
Sent: Monday, July 28, 2008 4:16 PM
Subject: Re: [TowerTalk] Feedpoint Impedance
> -----Original Message-----
>>From: Ward Silver <firstname.lastname@example.org>
>>Sent: Jul 28, 2008 12:46 PM
>>To: Towertalk Reflector <email@example.com>
>>Subject: [TowerTalk] Feedpoint Impedance
>>While we're on the math subject, does anyone know of an equation that
>>either feedpoint impedance or radiation resistance as a function of
>>along a linear radiator of known electrical length? Free space would be
>>fine, I can work in the effects of ground later.
> Radiation resistance should be fixed.. it's a function of the size and
> shape of the radiator. Feedpoint impedance will change with position, of
> course (essentially, it's some transformation of the combination of
> radiation resistance, loss resistance and the reactance of the antenna)
> I don't think there's a nice analytical expression for it. One could
> start with the Schelkunoff formulation (the one using sine and cosine
> integrals, which are series expansions). Do you need the reactive part?
> If not, you could assume that the current has a sinusoidal distribution,
> and once you know the radiation resistance, the feedpoint R at the center
> will be the Rrad+Rloss.. Moving away from the center, it would scale as
> 1/cos(distance), becoming infinite at the very end.
> Orfanidis's online book might be a good source.. he has equations for the
> current at various places along the element, and that's really what you're
> looking for. http://www.ece.rutgers.edu/~orfanidi/ewa/ Chapter 16 or 22,
> I suspect.
> Practically, I've done this kind of thing with NEC.. run a series of cases
> with systematic variation in the position, generate a table, and then do
> Jim, W6RMK
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