Date: Sun, 15 Jul 2018 09:04:11 -0400
From: Markus Vester <markusvester@aol.com>
To: rsgb_lf_group@blacksheep.org
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Subject: Re: VLF: 8270.0025 Hz Colour-DF Test
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Thanks to Paul for reporting and running fbins, and to Stefan for setting u=
p a new 424 uHz colour spectrogram. It looks like there was a faint yellow =
line in Heidelberg, but it is pretty marginal due to upcoming QRN and appro=
aching the midday minimum from destructive skywave.=20


The most interesting aspect of this experiment was that Tom DK1IS also tran=
smitted a carrier from the opposite side, a couple of mHz above mine. We ha=
d expected a pair of cyan and red traces, providing a beautiful demonstrati=
on of RDF without 180=C2=B0 ambiguity. However there was a surprise: While =
my trace appeared close to west (perhaps a little too greenish), Tom's trac=
e up came out blue rather than red!


               azimuth
          actual   measured
DK1IS     74=C2=B0       20=C2=B0=20
DF6NM   268=C2=B0    255=C2=B0 (+-5=C2=B0)


How can this be?=20


The 360=C2=B0 RDF scheme is based on evaluating the phase between an electr=
ic antenna and a quadrature pair of loops:=20
http://df6nm.de/ColourDF/ColourDF.htm
The a priori unknown angle offset was approximately calibrated using MSK st=
ations, but there is some uncertainty mainly from frequency responses (part=
icularly of the earth loops with frequency-dependent skin effect), and also=
 small sampling time offsets between the two independent soundcards. So I b=
elieve that the ~13=C2=B0 error for DF6NM is due to a calibration error. Ho=
wever this still leaves an offset of 74-20-13 =3D 41 =C2=B0 for Tom, much t=
oo large to be accounted to measurement errors.


I believe the true explanation is rooted in Maxwell's equations themselves.=
 Tom's antenna is 5.97 km from DL0AO, just outside the nearfield boundary l=
ambda/2pi =3D 5.773 km (often denoted as kr=3D1). Looking at Hertzian dipol=
e antenna fields, we find that electric and magnetic fields are 45=C2=B0 ou=
t of phase at the boundary:
E ~ kr^-1 - j kr^-2 - kr^-3 ~ -90=C2=B0
H ~ kr^-1 - j kr^-2  ~ -45=C2=B0


For Tom's distance, the phase difference would theoretically be -42=C2=B0, =
perfectly explaining the remaining error. Note that the sign of the error d=
epends on the sense of rotation which was arbitrarily selected when connect=
ing the two loops to the IQ inputs of SpecLab's FFT Filter. If I had done o=
therwise, Tom would appeared bright red at 104=C2=B0, and we might not even=
 have noticed this interesting near-field effect. =20


Best 73,
Markus


-----Urspr=C3=BCngliche Mitteilung-----=20
Von: Markus Vester <markusvester@aol.com>
An: rsgb_lf_group <rsgb_lf_group@blacksheep.org>
Verschickt: Sa, 14. Jul 2018 7:31
Betreff: VLF: 8270.0025 Hz Colour-DF Test


Since 4:43 UT I'm sending a 10 uW carrier on 8270.0025 Hz, trying to leave =
a coloured trace on the new DL0AO 424 uHz RDF-spectrogram:
https://vlf.u01.de (scroll down to the middle of the page), or https://vlf.=
u01.de/VLFgrabber/vlf12.jpg

Best wishes,
Markus (DF6NM)
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<div style=3D"font-size:10pt;font-family:arial,helvetica,sans-serif;color:b=
lack;"><div style=3D"color: black; font-family: arial,helvetica,sans-serif;=
 font-size: 10pt;" abp=3D"151">Thanks to Paul for reporting and running fbi=
ns, and to Stefan for setting up a new 424 uHz colour spectrogram. It looks=
 like there was a faint yellow line in Heidelberg, but it is pretty margina=
l due to upcoming QRN and approaching the midday minimum from destructive s=
kywave. <br></div><div style=3D"color: black; font-family: arial,helvetica,=
sans-serif; font-size: 10pt;" abp=3D"151">The most interesting aspect of th=
is experiment was that Tom DK1IS also transmitted a carrier from the opposi=
te side, a couple of mHz above mine. We had expected a pair of cyan and red=
 traces, providing a beautiful demonstration of RDF without 180=C2=B0 ambig=
uity. However there was a surprise: While my trace appeared close to west (=
perhaps a little too greenish), Tom's trace up came out blue rather than re=
d!<br></div><div style=3D"color: black; font-family: arial,helvetica,sans-s=
erif; font-size: 10pt;" abp=3D"151">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; azimuth<br>&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;actual&nbsp;&nbsp; measured<br>DK1IS&nbsp;&=
nbsp;&nbsp; &nbsp;74=C2=B0&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; 20=C2=B0 <br>DF6N=
M&nbsp;&nbsp; 268=C2=B0&nbsp;&nbsp;&nbsp; 255=C2=B0 (+-5=C2=B0)<br></div><d=
iv style=3D"color: black; font-family: arial,helvetica,sans-serif; font-siz=
e: 10pt;" abp=3D"151">How can this be? </div><div style=3D"color: black; fo=
nt-family: arial,helvetica,sans-serif; font-size: 10pt;" abp=3D"151"><br>Th=
e 360=C2=B0 RDF scheme is based on evaluating the phase between an electric=
 antenna and a quadrature pair of loops: <br>http://df6nm.de/ColourDF/Colou=
rDF.htm<br>The a priori unknown angle offset was approximately calibrated u=
sing MSK stations, but there is some uncertainty mainly from frequency resp=
onses (particularly of the earth loops with frequency-dependent skin effect=
), and also small sampling time offsets between the two independent soundca=
rds. So I believe that the ~13=C2=B0 error for DF6NM is due to a calibratio=
n error. However this still leaves an offset of 74-20-13 =3D 41 =C2=B0 for =
Tom, much too large to be accounted to measurement errors.</div><div style=
=3D"color: black; font-family: arial,helvetica,sans-serif; font-size: 10pt;=
" abp=3D"151"><br>I believe the true explanation is rooted in Maxwell's equ=
ations themselves. Tom's antenna is 5.97 km from DL0AO, just outside the ne=
arfield boundary lambda/2pi =3D 5.773 km (often denoted as kr=3D1). Looking=
 at Hertzian dipole antenna fields, we find that electric and magnetic fiel=
ds are 45=C2=B0 out of phase at the boundary:<br>E ~ kr^-1 - j kr^-2 - kr^-=
3 ~ -90=C2=B0<br>H ~ kr^-1 - j kr^-2&nbsp; ~ -45=C2=B0</div><div style=3D"c=
olor: black; font-family: arial,helvetica,sans-serif; font-size: 10pt;" abp=
=3D"151"><br>For Tom's distance, the phase difference would theoretically b=
e -42=C2=B0, perfectly explaining the remaining error. Note that the sign o=
f the error depends on the sense of rotation which was arbitrarily selected=
 when connecting the two loops to the IQ inputs of SpecLab's FFT Filter. If=
 I had done otherwise, Tom would appeared bright red at 104=C2=B0, and we m=
ight not even have noticed this interesting near-field effect.&nbsp; </div>=
<div style=3D"color: black; font-family: arial,helvetica,sans-serif; font-s=
ize: 10pt;" abp=3D"151"><br>Best 73,<br>Markus<br abp=3D"152"><br abp=3D"15=
3"><br abp=3D"154">-----Urspr=C3=BCngliche Mitteilung----- <br abp=3D"155">=
Von: Markus Vester &lt;markusvester@aol.com&gt;<br abp=3D"156">An: rsgb_lf_=
group &lt;rsgb_lf_group@blacksheep.org&gt;<br abp=3D"157">Verschickt: Sa, 1=
4. Jul 2018 7:31<br abp=3D"158">Betreff: VLF: 8270.0025 Hz Colour-DF Test<b=
r abp=3D"159"><br abp=3D"160"></div>
<div id=3D"AOLMsgPart_2_0bc2ae90-d419-4f69-8ebf-263d35ff49ee" abp=3D"161">
<div class=3D"aolReplacedBody" abp=3D"162"><div style=3D"color: black; font=
-family: arial,helvetica,sans-serif; font-size: 10pt;" abp=3D"163"><div sty=
le=3D"color: black; font-family: arial,helvetica,sans-serif; font-size: 10p=
t;" abp=3D"164"><br abp=3D"165">Since 4:43 UT I'm sending a 10 uW carrier o=
n 8270.0025 Hz, trying&nbsp;to leave a coloured trace on the new DL0AO&nbsp=
;424 uHz RDF-spectrogram:<br abp=3D"166"><a href=3D"https://vlf.u01.de/" ta=
rget=3D"_blank" rel=3D"noopener noreferrer" abp=3D"167">https://vlf.u01.de<=
/a> (scroll down to the middle of the page), or <a href=3D"https://vlf.u01.=
de/VLFgrabber/vlf12.jpg" target=3D"_blank" rel=3D"noopener noreferrer" abp=
=3D"168">https://vlf.u01.de/VLFgrabber/vlf12.jpg</a><br abp=3D"169"><br abp=
=3D"170">Best wishes,<br abp=3D"171">Markus (DF6NM)<br abp=3D"172"><br abp=
=3D"173"></div></div></div>
</div></div>
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