IJMDIC (2020) 1–11 © Journals Pub 2020. All Rights Reserved Page 1
International Journal of
Microelectronics and Digital Integrated Circuits
ISSN: 2456-3986
Vol. 6: Issue 2
www.journalspub.com
Development of a Ray-tracing Program and its Application in
Characterizing the Range of HF Radio Propagation in the
Equatorial Ionosphere
Sulaiman M.Y.
1,
*, Okoh D.I.
2
, Joshua B.W.
3
, Rabiu A.B.
4
1,2,3,4
Research Scholars
1,3
Department of Physics, Kebbi State University of Science and Technology, Aliero, Nigeria
2,4
Space Environment Research Laboratory, Centre for Atmospheric Research, NSRDA
Abuja, Nigeria
ABSTRACT
A ray tracing program which is an algorithm that can be used to describe the complex nature
of the ionosphere has been developed using locally available resources. The International
Reference Ionosphere (IRI) Ionospheric Model were incorporated into the program for
evaluating electron density values. Complex refractive indices of the ionosphere were
generated using Appletone-Hartree formula with no collision and magnetic field effects. The
program applies Snell’s law of refraction in generating signal’s refraction. 2-D ray
coordinates were generated and ray path was plotted. The illustration in the application of
the program was done using an assumed transmission of 6.957 MHz radio frequency from
Abuja (7.38
o
E, 8.99
o
N) in the direction of Lagos (6.52
o
N, 3.38
o
E), Nigeria. Results provided
amongst others includes, distribution of electron density (Ne) for the day and night time;
minimum value of Ne at night (0:00 UT), ascending in the morning (6:00 UT), maximum at or
close to noon (12:00-14:00 UT) and descending in the evening (18:00 UT). Rays travel
farther distance in the solstice seasons than in the equinox seasons. Radio waves leaving the
earth at high transmission angles above the horizon may receive only slight bending due to
refraction, and are lost to outer space. It is hoped that the program will find immense
application in High Frequency (HF) radio communication industries, research industries,
aviation industries, and other industries that make use of Earth-Space systems.
Keywords: Electron density, Ionosphere, Ray Tracing, Radio Waves.
*Corresponding Author
E-mail: smyushau@gmail.com
INTRODUCTION
The ionosphere is an important layer in the
study of radio wave propagation. Both
Government and Non-governmental
Organizations make use of the ionosphere
in making contact over long distance
communications. The ionosphere starts at
an altitude of about 50 km above the
Earth’s surface and extends up to about
thousands of kilometres. It consists of
plasma which is produced by the
photoionization of thin upper atmospheric
gases by UV rays and photons of short
wavelength from the sun [1]. The
equatorial region is a region of ionosphere
which extends from the magnetic equator
to about ±25
o
of magnetic latitude and is
very dynamic in nature. At this region, the