Many,

I appreciate the references.  In the meantime, I found another reference by
Wilson that fits my simple-minded needs:

ANTENNA GAIN-FACTOR EQUIVALENT FOR TEM CELLS
Perry F. Wilson
National Institute of Standards and Technology
325 Broadway, Boulder, CO 80305, USA

If I can¹t get it to work, I will look at the more complex approaches, but
so far it appears this one works. By which I mean, I can understand it and
it seems to be in agreement with empirical data.

Ken Javor
Phone: (256) 650-5261



From: Manny Barron <[email protected]>
Reply-To: Manny Barron <[email protected]>
Date: Wed, 14 Aug 2019 17:07:44 -0700
To: <[email protected]>
Subject: Re: [PSES] GTEM cell used for RE measurement

Hi Ken,

Here's the source for one algorithm used in GTEM radiated emission testing.
There may be more but this is what I found.

ETS-Lindgren GTEM Manual:
http://www.ets-lindgren.com/sites/etsauthor/ProductsManuals/TEM_Devices/3992
50%20REV%20j_MANUAL_GTEM.pdf 
See page 38 "Radiated Emission Testing - General" for an overview, which
describes a 3 position correlation algorithm derived by Wilson, et al. at
ABB.  Here's one paper that provides the algorithm details:  P. Wilson, "On
Correlating TEM Cell and OATS Emission Measurements", IEEE Transactions on
Electromagnetic Compatibility, Vol 37, No. 1, Feb 1995.  Couldn't find this
paper as a freebie online, but it's available for download on the
IEEExplore.org website (free for IEEE EMC members).  After reviewing this
algorithm I see it is not a simple transducer function like it is for
immunity, but instead it involves significant math computations thereby
requiring a computer algorithm.  One interesting note is that on page 40 of
this same ETS-Lindgren manual it states an MS-DOS utility program is
available for download on their website to assist with the calculations (but
I've been unable to locate it).

NPL/York Measurement Good Practice Guide 65:
https://www.npl.co.uk/special-pages/guides/gpg65_gtem 
This link was previously provided on this listserv thread in an earlier
e-mail.  See page 16-17 "GTEM to OATS Correlation", which references the
following paper for the theoretical details:  Angela Nothofer, "Cross-polar
coupling in GTEM cells used for radiated emission measurements", PhD thesis,
University of York, Department of Electronics, December 2000.  Here's a link
to this thesis but it requires login credentials to
download:  http://yorsearch.york.ac.uk/primo_library/libweb/action/display.d
o?tabs=requestTab&ct=display&fn=search&doc=44YORK_ALMA_DS21221784140001381&i
ndx=1&recIds=44YORK_ALMA_DS21221784140001381&recIdxs=0&elementId=0&renderMod
e=poppedOut&displayMode=full&frbrVersion=&frbg=&&vl(138704577UI0)=any&dscnt=
0&scp.scps=scope%3A%2844YORK_ALMA_DS%29%2Cscope%3A%2844YORK_WREO_YORK%29%2Cs
cope%3A%2844YORK_ATOM_DS%29%2Cscope%3A%2844YORK_DIGLIB_DS%29&tb=t&vid=44YORK
&mode=Basic&srt=rank&tab=tab1&dum=true&vl(freeText0)=angela%20nothofer&dstmp
=1565825463456 
<http://yorsearch.york.ac.uk/primo_library/libweb/action/display.do?tabs=req
uestTab&ct=display&fn=search&doc=44YORK_ALMA_DS21221784140001381&indx=1&recI
ds=44YORK_ALMA_DS21221784140001381&recIdxs=0&elementId=0&renderMode=poppedOu
t&displayMode=full&frbrVersi>
<http://yorsearch.york.ac.uk/primo_library/libweb/action/display.do?tabs=req
uestTab&amp;ct=display&amp;fn=search&amp;doc=44YORK_ALMA_DS21221784140001381
&amp;indx=1&amp;recIds=44YORK_ALMA_DS21221784140001381&amp;recIdxs=0&amp;ele
mentId=0&amp;renderMode=popp>  
Lastly, here's another downloadable paper by this same thesis author, which
on page 4 references the same P. Wilson paper addressed above (plus also
references IEC 61000-4-20):
https://pdfs.semanticscholar.org/2e32/99409062dc3c683db97281d09891d7419518.p
df

In summary, the desired transfer function is not a simple equation but
instead is a math intensive computer algorithm.

Hope this is helpful.

Manny Barron
[email protected]



On Tue, Aug 13, 2019 at 11:00 AM Ken Javor <[email protected]>
wrote:
> This isn¹t exactly what I was looking for, which was an algorithm, but it is
> empirical data for particular GTEM cell, and it shows raw data in dBuV and the
> predicted far field intensity at three meters. The 20 dB/decade increase with
> increasing frequency is likely what prompted my analogy to t e difference
> between antenna gain transmitting vs. antenna effective aperture receiving.
> 
> 
> 
> Ken Javor
> Phone: (256) 650-5261
> 
> 
> 
> From: "Heckrotte, Michael" <[email protected]>
> Reply-To: "Heckrotte, Michael" <[email protected]>
> Date: Tue, 13 Aug 2019 16:34:58 +0000
> To: <[email protected]>
> Conversation: [PSES] GTEM cell used for RE measurement
> Subject: Re: [PSES] GTEM cell used for RE measurement
> 
> Hi Ken,
>  
> TX and RX equations are reciprocal. The measurements themselves are referenced
> to different locations, however we can address this. While the conversion
> between antenna gain and antenna factor does involve wavelength this will also
> be consistent between TX and RX after taking distance into account. Free-space
> path loss also involves wavelength, and is also reciprocal.
>  
> Free-space theory, different distance references can be resolved using simple
> equations assuming far-field path loss conditions:
> * For emissions we measure the field strength at [received by] the antenna
> * For immunity we want to know the field strength at some distance D from the
> antenna
>  
> OATS theory:
> * Add in the ground plane and associated coupling
>  
> GTEM theory:
> * Associated coupling is different than OATS
> * The measurement distance is not 3/10/etc. meters so need to develop the
> equivalent of Friis equation for free-space path loss
>  
> Finally, in practice we don¹t take the same coupling factors into account when
> performing these two measurements:
> * For immunity we measure the field strength using a (small) somewhat-ideal
> battery-powered isotropic probe with a fiber optic interface thus there are no
> conducting cables. Next we put a (larger) product in place of the probe and
> the coupling is different due to device size, cables, etc. Then we claim that
> the product ³sees² the previously measured field strength but we don¹t
> actually make a new field strength measurement with the product and associated
> coupling mechanisms in place. Hence, we artificially simplify immunity, though
> this isn¹t necessarily bad ­ just as our simulated test field will change due
> to device coupling, an actual field in the real-world environment will also
> change, just not by the same amount.
> * For emissions the measurement is made with all the various device coupling
> mechanisms in place.
>  
> Admittedly this doesn¹t solve your task at hand, but perhaps it can shed some
> light on where you might make some simplifying assumptions.
> 
>  
> Best Regards,
> Mike
>  
> 
> From: Ken Javor <[email protected]>
> Sent: Tuesday, August 13, 2019 7:27 AM
> To: [email protected]
> Subject: Re: [PSES] GTEM cell used for RE measurement
>  
> I understand how the GTEM cell works for immunity. That is quite simple, as
> you say. It¹s not as simple for emissions. I think an analogy is the equation
> for transmitting from an antenna is not reciprocal with receiving. One is
> simply a function of gain, the other involves frequency/wavelength. I too
> worked with GTEM cells in the past and understood better, and I too did a
> search and found the very complex formulae (!) but now I need to be able to
> get from a field intensity limit to the coupled potential at the cell coax
> connector, and I¹m not finding that, nor a way to get there.
> 
> Ken Javor
> Phone: (256) 650-5261
> 
> 
> From: "James Pawson (U3C)" <[email protected]>
> Reply-To: "James Pawson (U3C)" <[email protected]>
> Date: Tue, 13 Aug 2019 07:47:56 +0100
> To: <[email protected]>
> Subject: Re: [PSES] GTEM cell used for RE measurement
> 
> Hello Ken,
>  
> Thinking aloud here: would such a factor exist as a generic formula? If I
> think about this the other way round, putting 1V of RF into the coax connector
> will generate 1V between the septum and ground (or between the septums?
> septii? in the case of a differential GTEM like a Laplacell).
>  
> This 1V will be spread over the distance between septum and ground, dictating
> the overall field strength. This means cells with different dimensions will
> have different factors. This is leaving aside the frequency response / VSWR of
> the cell.
>  
> I do recall seeing some formulae for correlation between GTEM and OATS/SAC but
> that was a while ago. A quick google on the subject shows a few papers with
> lots of big equations.
>  
> I no longer have my old copy of EN 61000-4-20 but there might be some
> interesting reference material in there. This standard also notes that many of
> its provisions only apply to ³small EUTs² which is anything below a certain
> size in relation to the GTEM volume or anything with cables attached (which
> are ³under consideration²)
>  
>  
> More practically, you could generate your own factors using an RF generator
> and an isotropic field probe and using reciprocity to flip this around to get
> a Volts out ­ field inside factor.
>  
>  
> Additional: There¹s also this NPL / York EMC guide on ³The Use of GTEM Cells
> for EMC Measurements² which has some interesting info in. Its been a long
> while since I¹ve read it in any depth though.
> https://www.npl.co.uk/special-pages/guides/gpg65_gtem
>  
>  
> Hope some of this is useful.
> All the best
> James
>  
> 
>  
> James Pawson
> EMC Problem Solver
> 
> Unit 3 Compliance
> Design for EMC / Pre Compliance / Problem Solving / EMC Testing / Consultancy
> / Environmental & Vibration
> www.unit3compliance.co.uk <http://www.unit3compliance.co.uk>
> <http://www.unit3compliance.co.uk> <http://www.unit3compliance.co.uk/>  --
> 07811 139957
> Opening Hours: Tuesday to Friday, 0830 to 1800. Closed Monday.
> 
> 
> From: Ken Javor <[email protected]>
> Sent: 12 August 2019 15:44
> To: [email protected]
> Subject: [PSES] GTEM cell used for RE measurement
>  
> Does anyone out there have a simple transducer factor that yields rf potential
> at the GTEM cell vertex coaxial connector for a given vertical electric field
> component coupling to the cell septum?  Purpose is to calculate gain/noise
> figure specs for a preamplifier used between spectrum analyzer and GTEM cell
> to measure RE.
> 
> Thank you.
> 
> Ken Javor
> Phone: (256) 650-5261
> 
> 
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