Return-Path: Received: from post.thorcom.com (post.thorcom.com [195.171.43.25]) by klubnl.pl (8.14.4/8.14.4/Debian-8+deb8u2) with ESMTP id vBBBvaDK025325 for ; Mon, 11 Dec 2017 12:57:37 +0100 Received: from majordom by post.thorcom.com with local (Exim 4.14) id 1eOMcw-000753-R6 for rs_out_1@blacksheep.org; Mon, 11 Dec 2017 11:52:06 +0000 Received: from [195.171.43.32] (helo=relay1.thorcom.net) by post.thorcom.com with esmtp (Exim 4.14) id 1eOMcw-00074u-8i for rsgb_lf_group@blacksheep.org; Mon, 11 Dec 2017 11:52:06 +0000 Received: from omr-m007e.mx.aol.com ([204.29.186.9]) by relay1.thorcom.net with esmtps (TLSv1:DHE-RSA-AES256-SHA:256) (Exim 4.89) (envelope-from ) id 1eOMcs-0003Zr-Bf for rsgb_lf_group@blacksheep.org; Mon, 11 Dec 2017 11:52:05 +0000 Received: from mtaomg-mcd02.mx.aol.com (mtaomg-mcd02.mx.aol.com [172.26.223.208]) by omr-m007e.mx.aol.com (Outbound Mail Relay) with ESMTP id 99EAD3800084; Mon, 11 Dec 2017 06:51:59 -0500 (EST) Received: from core-acb02f.mail.aol.com (core-acb02.mail.aol.com [172.27.24.2]) by mtaomg-mcd02.mx.aol.com (OMAG/Core Interface) with ESMTP id BA15B38000081; Mon, 11 Dec 2017 06:51:58 -0500 (EST) Received: from 80.146.228.67 by webjas-vaa182.srv.aolmail.net (10.96.33.185) with HTTP (WebMailUI); Mon, 11 Dec 2017 06:51:56 -0500 Date: Mon, 11 Dec 2017 06:51:57 -0500 From: Markus Vester To: rsgb_lf_group@blacksheep.org Cc: mike@unixnut.net Message-Id: <160456ad2cf-1727-54d@webjas-vaa182.srv.aolmail.net> In-Reply-To: <1fc8e54e-50f6-3fef-ee8c-f8848304f719@abelian.org> MIME-Version: 1.0 X-MB-Message-Source: WebUI X-MB-Message-Type: User X-Mailer: JAS STD X-Originating-IP: [80.146.228.67] x-aol-global-disposition: G X-AOL-VSS-INFO: 5800.7501/124318 X-AOL-VSS-CODE: clean DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=mx.aol.com; s=20150623; t=1512993119; bh=PDMhyUvIU99Yd+wkursAlPBP0PKeSjx8bcdx4hU8LRA=; h=From:To:Subject:Message-Id:Date:MIME-Version:Content-Type; b=dRU9YqIEwLzb3S3uxOs41f1gfq3dYbdpGBUkxbQ93cx62fbIXlsJict4MM94CIgDf xGLdFfwQVznAhNVCRDMcti8JmORRbuUL4HULyCIbXX+WMW5hv5lHmOJu6QFdlWnZCB VRL9ptBz/JBON0551WiRAiUJ9jNO6qQ7Z1mLHzs0= x-aol-sid: 3039ac1adfd05a2e715e7888 X-Spam-Score: 0.0 (/) X-Spam-Report: Spam detection software, running on the system "relay1.thorcom.net", has NOT identified this incoming email as spam. The original message has been attached to this so you can view it or label similar future email. If you have any questions, see the administrator of that system for details. Content preview: I've also been looking for a simple and intuitive explanation, without luck so far. Maybe a plausible approach is thinking of Hall conductivity in the lower ionosphere, which would tilt the current density (i.e. the source of the reflected field, blue) versus the impinging electric field (red). The vertical tilt angle (upwards or downwards) depends on the horizontal component of Earth's magnetic field (green). So for a west-to-east path, I speculate that the source dipoles may be tilted downwards, and better radiate in the direction of the outgoing wave. [...] Content analysis details: (0.0 points, 5.0 required) pts rule name description ---- ---------------------- -------------------------------------------------- -0.0 T_RP_MATCHES_RCVD Envelope sender domain matches handover relay domain 0.0 FREEMAIL_FROM Sender email is commonly abused enduser mail provider (markusvester[at]aol.com) 0.0 HTML_MESSAGE BODY: HTML included in message 0.0 T_DKIM_INVALID DKIM-Signature header exists but is not valid X-Scan-Signature: 11b9c278f503abde5e9dc0c8e08ca89d Subject: Re: VLF: Transatlantic success East to West - nonreciprocity Content-Type: multipart/mixed; boundary="----=_Part_1921_1233355189.1512993116879" X-Spam-Checker-Version: SpamAssassin 2.63 (2004-01-11) on post.thorcom.com X-Spam-Level: * X-Spam-Status: No, hits=1.1 required=5.0 tests=HTML_MESSAGE, MAILTO_TO_SPAM_ADDR autolearn=no version=2.63 X-SA-Exim-Scanned: Yes Sender: owner-rsgb_lf_group@blacksheep.org Precedence: bulk Reply-To: rsgb_lf_group@blacksheep.org X-Listname: rsgb_lf_group X-SA-Exim-Rcpt-To: rs_out_1@blacksheep.org X-SA-Exim-Scanned: No; SAEximRunCond expanded to false ------=_Part_1921_1233355189.1512993116879 Content-Type: multipart/alternative; boundary="----=_Part_1920_189131857.1512993116879" ------=_Part_1920_189131857.1512993116879 Content-Type: text/plain; charset=utf-8 Content-Transfer-Encoding: quoted-printable I've also been looking for a simple and intuitive explanation, without luck= so far.=20 Maybe a plausible approach is thinking of Hall conductivity in the lower io= nosphere, which would tilt the current density (i.e. the source of the refl= ected field, blue) versus the impinging electric field (red). The vertical = tilt angle (upwards or downwards) depends on the horizontal component of Ea= rth's magnetic field (green). So for a west-to-east path, I speculate that = the source dipoles may be tilted downwards, and better radiate in the direc= tion of the outgoing wave. 73, Markus (DF6NM) -----Urspr=C3=BCngliche Mitteilung-----=20 Von: Paul Nicholson An: rsgb_lf_group Cc: Michael Smith Verschickt: Mo, 11. Dez 2017 11:43 Betreff: Re: VLF: Transatlantic success East to West Jacek wrote: > could you give a short explanation? i don't really understand > nonreciprocal propagation I don't either, really. The ionospheric reflection coefficient depends on the direction of the radio wave relative to the Earth's magnetic field. The wave accelerates free electrons in the plasma, and they're pulled into circular or helical paths by the magnetic field. This alters the phase of the reflection and the attenuation of the wave through energy loss by collisions. The consequence is the reflection coefficient isn't a nice simple number, it's a 2x2 matrix with each component a (frequency dependent) complex number. It's all the in Appleton-Hartree equations https://en.wikipedia.org/wiki/Appleton%E2%80%93Hartree_equation which are quite easy to calculate and program (easier than they look at first glance) but few people would admit to understanding them. Spent some time with LWPC measuring the T/A path at some different frequencies. The figures below are the extra loss on the east-to-west, compared with west-to-east. The results don't depend much on which end points I choose, but are quite frequency dependent: Midnight UTC: 18.0 kHz: 2 dB 17.4 kHz: 3 dB 16.5 kHz: 6 dB 16.0 kHz: 9 dB 15.0 kHz: 14 dB 14.0 kHz: 18 dB 13.0 kHz: 16 dB 12.0 kHz: 13 dB 11.0 kHz: 11 dB 10.0 kHz: 10 dB 9.0 kHz: 10 dB 8.2 kHz: 12 dB 5.2 kHz: 27 dB 4.2 kHz: 44 dB 2.9 kHz: LWPC doesn't run Generally a lot more anisotropy as the frequency drops, but there's a funny peak around 14 kHz. Midday UTC: 18.0 kHz: 4 dB 17.4 kHz: 4 dB 16.0 kHz: 5 dB 15.0 kHz: 5 dB 14.0 kHz: 6 dB 13.0 kHz: 7 dB 12.0 kHz: 8 dB 11.0 kHz: 9 dB 10.0 kHz: 10 dB 9.0 kHz: 12 dB 8.2 kHz: 14 dB 5.2 kHz: 35 dB 4.2 kHz: no output from LWPC The funny peak vanishes during the day. So, nowhere near as much anisotropy as I thought at 17.4 kHz. I don't fancy our chances at the lower VLF bands - it might be easier to take the long path! -- Paul Nicholson -- ------=_Part_1920_189131857.1512993116879 Content-Type: text/html; charset=utf-8 Content-Transfer-Encoding: quoted-printable
I've also been looking for a simple and intuitive e= xplanation, without luck so far. 

Maybe a plausible approa= ch is thinking of Hall conductivity in the lower ionosp= here, which would tilt the current density (i.e. the source of the ref= lected field, blue) versus the impinging electric field (red). The vertical= tilt angle (upwards or downwards) depends on the horizontal comp= onent of Earth's magnetic field (green). So for a west-to-east path, I = ;speculate that the source dipoles may be tilted downwards, and better= radiate in the direction of the outgoing wave.

73, Markus (DF6= NM)



-----Urspr=C3=BCngliche Mitteilung-----
Von: Paul Ni= cholson <vlf0403@abelian.org>
An: rsgb_lf_group <rsgb_lf_group@= blacksheep.org>
Cc: Michael Smith <mike@unixnut.net>
Verschi= ckt: Mo, 11. Dez 2017 11:43
Betreff: Re: VLF: Transatlantic success East= to West


Jacek wrote:

> could you give a short = explanation? i don't really understand
> nonreciprocal propagation
I don't either, really. The ionospheric reflection
coefficient = depends on the direction of the radio wave relative
to the Earth's magne= tic field. The wave accelerates free
electrons in the plasma, and they'= re pulled into circular or
helical paths by the magnetic field. This al= ters the phase of
the reflection and the attenuation of the wave through= energy
loss by collisions.

The consequence is the reflection coe= fficient isn't a nice
simple number, it's a 2x2 matrix with each compone= nt a
(frequency dependent) complex number.

It's all the in Applet= on-Hartree equations

https://en.wikipedia.org/w= iki/Appleton%E2%80%93Hartree_equation

which are quite easy to ca= lculate and program (easier than
they look at first glance) but few peop= le would admit to
understanding them.

Spent some time with LWPC m= easuring the T/A path at some
different frequencies. The figures below= are the extra loss
on the east-to-west, compared with west-to-east.
=
The results don't depend much on which end points I choose,
but are = quite frequency dependent:

Midnight UTC:

18.0 kHz: 2 dB<= br> 17.4 kHz: 3 dB
16.5 kHz: 6 dB
16.0 kHz: 9 dB
1= 5.0 kHz: 14 dB
14.0 kHz: 18 dB
13.0 kHz: 16 dB
12.0 kH= z: 13 dB
11.0 kHz: 11 dB
10.0 kHz: 10 dB
9.0 kHz: 1= 0 dB
8.2 kHz: 12 dB
5.2 kHz: 27 dB
4.2 kHz: 44 dB 2.9 kHz: LWPC doesn't run

Generally a lot more anisotropy as = the frequency drops,
but there's a funny peak around 14 kHz.

Midd= ay UTC:

18.0 kHz: 4 dB
17.4 kHz: 4 dB
16.0 kHz: 5 = dB
15.0 kHz: 5 dB
14.0 kHz: 6 dB
13.0 kHz: 7 dB
1= 2.0 kHz: 8 dB
11.0 kHz: 9 dB
10.0 kHz: 10 dB
9.0 kHz: = 12 dB
8.2 kHz: 14 dB
5.2 kHz: 35 dB
4.2 kHz: no outpu= t from LWPC

The funny peak vanishes during the day.

So, nowhe= re near as much anisotropy as I thought at
17.4 kHz. I don't fancy our = chances at the lower
VLF bands - it might be easier to take the long pat= h!

--
Paul Nicholson
--

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