Date: Sun, 22 Jul 2018 16:25:22 -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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This weekend we tried to test the nearfield error theory. In the SpecLab in=
stance collecting the two earth-loop signals, I changed the polarity of one=
 of the loops before the 90=C2=B0 combination, reversing the senso of the H=
-field rotation. The subsequent colour-DF instances were reconfigured accor=
dingly from "clockwise" to "counterclockwise". Yesterday evening, Tom start=
ed to send another carrier transmission on 8270.0 Hz which produced a brigh=
t red trace, indicating around 110=C2=B0 azimuth.=20

This morning, we discovered that the instance which does the latency adjust=
ment between the two soundcards had stalled at 23:15, invalidating the colo=
ur for the rest of the night (the DL0AO VLF-PC is heavily loaded, currently=
 running 17 SpecLab instances in parallel). I fixed this and joined Tom on =
air at 5:40 UT. Then both our signals appeared side by side for a short whi=
le, red from Tom and green from here, verifying the expectation that the ne=
arfield DF-error would now be the other way round. Unfortunately at 6:30 it=
 started to rain, so we had to close down earlier than intended. But you ca=
n see that Tom has already come back for tonight: https://vlf.u01.de/

Best 73,
Markus (DF6NM)

  =20


-----Urspr=C3=BCngliche Mitteilung-----=20
Von: Markus Vester <markusvester@aol.com>
An: rsgb_lf_group <rsgb_lf_group@blacksheep.org>
Verschickt: So, 15. Jul 2018 15:06
Betreff: Re: VLF: 8270.0025 Hz Colour-DF Test


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 have 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 id=3D"AOLMsgPart_1.2_eb4d4f38-2aaf-4431-bd8b-ba3e1f41b332">
<div style=3D"color: black; font-family: arial,helvetica,sans-serif; font-s=
ize: 10pt;"><div style=3D"color: black; font-family: arial,helvetica,sans-s=
erif; font-size: 10pt;">This weekend we tried to test the nearfield error t=
heory.&nbsp;In the&nbsp;SpecLab instance collecting the two earth-loop sign=
als,&nbsp;I&nbsp;changed the polarity of one of the loops before the 90=C2=
=B0 combination,&nbsp;reversing the senso of the H-field rotation.&nbsp;The=
 subsequent colour-DF instances were reconfigured accordingly from "clockwi=
se" to "counterclockwise". Yesterday evening, Tom&nbsp;started to send anot=
her carrier transmission on 8270.0 Hz which&nbsp;produced a bright red trac=
e, indicating around&nbsp;110=C2=B0 azimuth.&nbsp;<br><br>This morning, we =
discovered that the instance which does the latency adjustment between the =
two soundcards&nbsp;had stalled at 23:15, invalidating the colour for the r=
est of the night (the DL0AO VLF-PC is heavily loaded, currently running 17 =
SpecLab instances in parallel). I fixed this&nbsp;and joined Tom&nbsp;on ai=
r at 5:40 UT.&nbsp;Then both&nbsp;our signals appeared side by side for a s=
hort while, red from Tom and&nbsp;green from here, verifying the expectatio=
n that the nearfield DF-error&nbsp;would now&nbsp;be&nbsp;the other way rou=
nd. Unfortunately at 6:30&nbsp;it started to rain,&nbsp;so&nbsp;we had to c=
lose down earlier than intended. But you can see that Tom has already come =
back for tonight: https://vlf.u01.de/<br><br>Best 73,<br>Markus (DF6NM)<br>=
<br>&nbsp;&nbsp;&nbsp;<br><br><br>-----Urspr=C3=BCngliche Mitteilung----- <=
br>Von: Markus Vester &lt;markusvester@aol.com&gt;<br>An: rsgb_lf_group &lt=
;rsgb_lf_group@blacksheep.org&gt;<br>Verschickt: So, 15. Jul 2018 15:06<br>=
Betreff: Re: VLF: 8270.0025 Hz Colour-DF Test<br></div>
<div id=3D"AOLMsgPart_1.2_79d2f315-eba5-4511-8c44-610e5b2fde2b">
<div class=3D"aolReplacedBody"><div style=3D"color: black; font-family: ari=
al,helvetica,sans-serif; font-size: 10pt;"><div style=3D"color: black; font=
-family: arial,helvetica,sans-serif; font-size: 10pt;">Thanks to Paul for r=
eporting and running fbins, and to Stefan for setting up a new 424 uHz colo=
ur spectrogram. It looks like there was a faint yellow line in Heidelberg, =
but it is pretty marginal due to upcoming QRN and approaching the midday mi=
nimum from destructive skywave. <br></div><div style=3D"color: black; font-=
family: arial,helvetica,sans-serif; font-size: 10pt;">The most interesting =
aspect of this experiment was that Tom DK1IS also transmitted a carrier fro=
m the opposite 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 ambiguity. However there was a surprise: While my trace appeared clo=
se to west (perhaps a little too greenish), Tom's trace up came out blue ra=
ther than red!<br></div><div style=3D"color: black; font-family: arial,helv=
etica,sans-serif; font-size: 10pt;">&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;">How can this be? </div><div style=3D"color: black; font-family: a=
rial,helvetica,sans-serif; font-size: 10pt;"><br>The 360=C2=B0 RDF scheme i=
s based on evaluating the phase between an electric antenna and a quadratur=
e pair of loops: <br><a href=3D"http://df6nm.de/ColourDF/ColourDF.htm" targ=
et=3D"_blank">http://df6nm.de/ColourDF/ColourDF.htm</a><br>The a priori unk=
nown angle offset was approximately calibrated using MSK stations, but ther=
e is some uncertainty mainly from frequency responses (particularly of the =
earth loops with frequency-dependent skin effect), and also small sampling =
time offsets between the two independent soundcards. So I believe that the =
~13=C2=B0 error for DF6NM is due to a calibration error. However this still=
 leaves an offset of 74-20-13 =3D 41 =C2=B0 for Tom, much too large to be a=
ccounted to measurement errors.</div><div style=3D"color: black; font-famil=
y: arial,helvetica,sans-serif; font-size: 10pt;"><br>I believe the true exp=
lanation is rooted in Maxwell's equations themselves. Tom's antenna is 5.97=
 km from DL0AO, just outside the nearfield boundary lambda/2pi =3D 5.773 km=
 (often denoted as kr=3D1). Looking at Hertzian dipole antenna fields, we f=
ind that electric and magnetic fields are 45=C2=B0 out of phase at the boun=
dary:<br>E ~ kr^-1 - j kr^-2 - kr^-3 ~ -90=C2=B0<br>H ~ kr^-1 - j kr^-2&nbs=
p; ~ -45=C2=B0</div><div style=3D"color: black; font-family: arial,helvetic=
a,sans-serif; font-size: 10pt;"><br>For Tom's distance, the phase differenc=
e would theoretically be -42=C2=B0, perfectly explaining the remaining erro=
r. Note that the sign of the error depends on the sense of rotation which w=
as arbitrarily selected when connecting the two loops to the IQ inputs of S=
pecLab's FFT Filter. If I had done otherwise, Tom would <strong>have</stron=
g> appeared bright red at 104=C2=B0, and we might not even have noticed thi=
s interesting near-field effect.&nbsp; </div><div style=3D"color: black; fo=
nt-family: arial,helvetica,sans-serif; font-size: 10pt;"><br>Best 73,<br>Ma=
rkus<br><br><br>-----Urspr=C3=BCngliche Mitteilung----- <br>Von: Markus Ves=
ter &lt;<a href=3D"mailto:markusvester@aol.com" target=3D"_blank">markusves=
ter@aol.com</a>&gt;<br>An: rsgb_lf_group &lt;<a href=3D"mailto:rsgb_lf_grou=
p@blacksheep.org" target=3D"_blank">rsgb_lf_group@blacksheep.org</a>&gt;<br=
>Verschickt: Sa, 14. Jul 2018 7:31<br>Betreff: VLF: 8270.0025 Hz Colour-DF =
Test<br><br></div>
<div id=3D"aolmail_AOLMsgPart_2_0bc2ae90-d419-4f69-8ebf-263d35ff49ee">
<div class=3D"aolmail_aolReplacedBody"><div style=3D"color: black; font-fam=
ily: arial,helvetica,sans-serif; font-size: 10pt;"><div style=3D"color: bla=
ck; font-family: arial,helvetica,sans-serif; font-size: 10pt;"><br>Since 4:=
43 UT I'm sending a 10 uW carrier on 8270.0025 Hz, trying&nbsp;to leave a c=
oloured trace on the new DL0AO&nbsp;424 uHz RDF-spectrogram:<br><a href=3D"=
https://vlf.u01.de/" target=3D"_blank" rel=3D"noopener noreferrer">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 noref=
errer">https://vlf.u01.de/VLFgrabber/vlf12.jpg</a><br><br>Best wishes,<br>M=
arkus (DF6NM)<br><br></div></div></div>
</div></div></div>
</div>

<br></div>
</div></div>
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