Hindawi Publishing Corporation
Research Letters in Physics
Volume 2009, Article ID 216373, 4 pages
doi:10.1155/2009/216373
Research Letter
Waveguide Parameters of 19.8 kHz Signal Propagating
over a Long Path
Sushil Kumar
School of Engineering and Physics, The University of the South Pacific, Private Mail Bag, Suva, Fiji
Correspondence should be addressed to Sushil Kumar, kumar su@usp.ac.fj
Received 15 April 2009; Accepted 21 June 2009
Recommended by Faramarz Farahi
The amplitude and phase of 19.8 kHz signal from navigational transmitter located in North West Cape, Australia, recorded at Suva,
Fiji, have been utilized to determine the waveguide mode parameters. The propagation path is mixed over land and sea having
Transmitter-Receiver Great Circle Path distance 6.7Mm. The experimental values of the parameters were found to be consistent
with the theoretical values calculated using the mode theory of VLF wave propagation in the waveguide.
Copyright © 2009 Sushil Kumar. This is an open access article distributed under the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
1. Introduction
Extremely Low Frequency (ELF: 3–3000Hz) and Very Low
Frequency (VLF: 3–30 kHz) signals propagate to great dis-
tances in the waveguide bounded by the Earth’s surface
(ground or sea) and the lower ionosphere (∼60–140 km),
consisting of the D and E-regions. This atmospheric waveg-
uide is known as the Earth-Ionosphere Waveguide (EIWG).
The D and E-regions are too high for balloons and too
low for the satellite measurements. Radio sounding does
not work, particularly at night, since electron densities in
this region are low to reflect high frequency radio waves
with ionosondes and incoherent radars. Therefore, the lower
ionosphere remains the least studied region of the Earth’s
atmosphere [1]. The conductivity of the D-region increases
exponentially with height which may also vary with latitude
and longitude along the propagation path. At ELF/VLF,
the Earth’s surface and the lower ionosphere act as good
electrical conductors. Electromagnetic waves reflect when
incident upon conducting boundaries and are guided along
the conducting structures.
The EIWG offers very little attenuation hence the
guided ELF-VLF signals can be received literally around
the world [2] and have long been used for long-distance
communication, positioning and timings. Communications
with submarines immersed in the conducting sea neces-
sitated the use of VLF waves and later ELF waves, with
their comparatively large skin depths in sea water [3].
Yokoyama and Tanimura [4] first observed diurnal vari-
ation of the amplitude of VLF (17.7 kHz and 22.9 kHz)
signals propagated over long distances (>5000 km). Diur-
nal variations of VLF transmitter signals show amplitude
minima associated with phase steps during sunrise and
sunset transitions between transmitter and receiver [4–6]
which could not be explained by single mode propagation
theory. Wait [2] suggested that multiple modes are needed
to explain VLF propagation in the EIWG. Crombie [5]
proposed a model based on two modes being present in
the nighttime portion of the propagation path and only
one mode in the daytime portion of the propagation path
in the EIWG. Clilverd et al. [6] have presented some
interesting long-term (1990–1995) studies of VLF propa-
gation over a long North-South path from Cutler (USA),
Marine (NAA transmitter, 24kHz) to Faraday, Antarctica.
They found the timings of the minima in the received
signal strength to be remarkably consistent from year to
year. They also found that the timings of minima were
consistent with modal conversion taking place as the day-
night boundary (terminator) crossed the propagation path,
at specific, consistent locations. The stability and repro-
ducibility of the received amplitude and phase of VLF
navigational transmitter signals make VLF propagation a
useful tool for long-range communication and navigation
system.