Ed, Jeff,

If you assume that's your second harmonic that you wish to propagate is
at the waveguide cutoff frequency, fc,  hence your fundamental is at 0.5
fc, then the loss of a rectangular waveguide at the fundamental will be:

Loss = (kc)(Squareroot[3/2]), in nepers/meter

Where kc is (3.1416/b), where b is the width of the guide (meters)

This assumes propagation in the TE01 mode, which is the dominate mode of
a rectangular guide that is wider than it is high.   Also assumes that
the next order mode is not launched.

Does this help?

A good basic reference is:

Harrington, Time Harmonic Electromagnetic Fields, McGraw Hill, 1961.

Jim

Dr. Jim Knighten                e-mail: [email protected]
Senior Consulting Engineer
NCR
17095 Via del Campo
San Diego, CA 92127             http://www.ncr.com
Tel: 619-485-2537
Fax: 619-485-3788


----------
From:  Bailey, Jeff
Sent:  Monday, September 28, 1998 8:25 AM
To:  '[email protected]'
Cc:  'EMC-PSTC'
Subject:  RE: Waveguide Propagation

I don't know if any of this helps but it's my two cents worth.
        > -----Original Message-----
        > From: [email protected] [SMTP:[email protected]]
        > Sent: Friday, September 25, 1998 1:29 PM
        > To:   EMC-PSTC
        > Subject:      Waveguide Propagation
        > 
        > Greetings Everyone!
        > 
        > 
        > Can anyone provide a formula for the transmission loss of a
waveguide
        > at frequencies BELOW it's normally useful range?
        > 
                        >> I don't recall any formula's for this,  I
only remember my
instructor telling me that as you go below your lower cutoff  >>your
losses will become very extreme (most of the power will reflect)  I will
try to remember to dig up my old notes if >>I can find the box at home.
(typically a waveguide is designed to propogate down to 0.9*lower
cutoff)
        > I would like to construct a high-pass filter to reject the
fundamental
        > frequency of a transmitter, but allow the passage of the
second and
        > higher harmonics.
        > 
                        >>How many higher?  Once your "a" dimension of
your waveguide
reaches l  your waveguide begins to look like two >>waveguides and you
no longer propogate in TE10 mode (that's when things get too confusing
for my level of >>experience with this stuff)
        >  
        > I am assuming a coax transmitter output, with the coax
connected to a
        > 6dB attenuator and then a coax/waveguide transition. Then a
section of
        > straight waveguide, perhaps 18" long, followed by another
        > waveguide/coax transition. The coax would then be connected to
an
        > attenuator and a spectrum analyzer. (The purpose of the 6dB
attenuator
        > is to limit fundamental power reflected to the transmitter to
a
        > maximum of 10% of the forward power. At the fundamental, the
waveguide
        > should yield a terrible impedance discontinuity, reflecting
most of
        > the forward power.)
        > 
         
        > If I choose a waveguide which would normally just support the
        > relatively lossless transmission of the second harmonic, how
many dB
        > of loss could I expect at 1/2 the second harmonic frequency
(the
        > fundamental frequency)? The variables which I would know are
the
        > frequencies involved, the physical width and height of the
waveguide,
        > and the length of the waveguide.
        > 
        > A second question would be what is the effect of the length of
the
        > waveguide? Do I only need to provide a certain minimum length,
or will
        > loss be strongly proportional to waveguide length? Is it
possible that
        > the coax/waveguide transitions alone will provide enough
waveguide
        > length?
        > 
                        >>I recall from previous work seeing 0.06dB or
less insertion
loss in WR75 (at 14.5GHz I think), the guide was only >>about 2.5" long.
I your guide is very well made I don't beleive extra length up to your
18" will make much of a >>difference.
        > To give you a better perspective, imagine that a 4.5 GHz 100
Watt
        > transmitter is connected to X-band (WR-90 guide? normally used
from 8
        > GHz to 12.5 GHz) waveguide. What would the transmission loss
be at
        > 4.5, 5, 6, 7, 8, and 9GHz?
        > 
        > Thanks in Advance,
        > 
        > Ed
        > --------------------------
        > Ed Price
        > [email protected]
        > Electromagnetic Compatibility Lab
        > Cubic Defense Systems
        > San Diego, CA.  USA
        > 619-505-2780
        > Date: 09/25/1998
        > Time: 09:29:20
        > --------------------------
        > 
        > 
        > 
        > ---------
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        > 
        > 
        > 
        Jeff Bailey
        SST

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