Roy, and all:
This subject has come up before and I have yet to be
satisfied by any answers that I could apply, but the
following is offered: In the paper, "Problems in Strip
Transmission Lines" by S. B. Cohn (IRE Trans. on M.T.&T.,
Vol. 3, pp119-126, March 1955) the relationship between
circular and rectangular cross sections is cited in two
references. Cohn uses this to determine the characteristic
impedance of a rectangular center conductor in stripline
(TEM-mode) when he has an analytic expression for a round
one. One has to take Conh's use of the analyses as
applicable to one's own problem. The reference I found,
"Waveguide Handbook" by Marcuvitz, p.263, has some fairly
complicated analytic functions which would require solving
for the inverse elliptical integrals of first and second
kinds. However, the same plot is given in both of the above
references and is fairly smooth. It is tabulated below:
d"/d' do/d' do = diameter of rod.
----- ----- rectangular bar is d" x d'.
0 0.50 d" < d'.
.1 0.59
.2 0.67
.3 0.74
.4 0.81
.5 0.875
.6 0.94
.7 1.00
.8 1.06
.9 1.12
1.0 1.18
The rectangular conductor is d' wide and d" thick, d"<d' and
the circular conductor's diameter is do.
I hope this helps; maybe someone can connect the dots with
an equation.
73, Paul Gili, AA1LL
5 White St., Greenville, NH, 03048
Sr. E.E., Electromagnetic Center Of Technology
Sanders, A Lockheed Martin Co. (603)885-3938
pgili_at_mailgw.sanders.lockheed.com
Received on Wed Mar 26 1997 - 09:35:49 EST
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