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Highlights IONOspheric Ray Tracing (IONORT) is an applicative software tool package for calculating a three-dimensional ray tracing of high frequency (HF) radio waves in the ionospheric medium. 1 – The three dimensional (3-D) electron density profile grid, where i and j vary with the latitude and longitude, and k with the altitude, respectively.

Column on the left composed by k cells represents the vertical electron density profile Vij. The ray path from a transmitter (TX) point to a receiver (RX) point is represented by a dotted curve. Because of the involved distances, the 3-D matrix has a spherical shell shape. Abstract IONORT runs under Windows operating systems.

The corresponding software is coded in MATLAB for the input/output routines, while the integration algorithm is coded in FORTRAN. MATLAB graphical user interface (GUI), friendly managing the input needed to the integration algorithm and the corresponding numerical and graphical output, facilitates noticeably the numerical data input entry managed by the user and at the same time performs an useful two/three dimensional (2-D/3-D) visualization of the ray path. From a numerical point of view, in order to calculate the coordinates of the ray and the three components of the wave vector as dependent variables along the path, the core of the program solves a system of at least six first order differential equations, with Hamiltonian formalism, which are computed into a spherical coordinate geocentric system, where the group path is the independent variable of integration.

IONORT uses a 3-D electron density representation of the ionosphere, as well as geomagnetic field and electron-neutral particle collision frequency models having validity in the area of interest. An analytical standard Chapman’s modelled ionosphere, useful mainly for testing purpose, completes the whole applicative software tool package.

– First 25 components of IONORT (IONOspheric Ray Tracing) input vector W. – Graphical user interface (GUI) of IONORT program. The 2-D and 3-D visualizations of the ray paths are shown at the bottom and right respectively, considering a TX point at Rome, Italy, and an azimuth angle of transmission equal to 121.6° (in direction of Chania, Greece), on 26 June 2011 at 01:00 UT. To realize the full potential of IONORT, composite simulations, based on the International Reference Ionosphere (IRI) global model, are performed not only inside but also outside the central Mediterranean region, by taking the geomagnetic field and the electron collisions into account, with single or multiple ionospheric reflections (1 – 3 hop paths): for a fixed elevation angle of 18° with a 3 MHz frequency-step iterative procedure from 3 MHz to 30 MHz; and for a fixed frequency of 15 MHz with a 5° elevation-step iterative procedure from 0° to 60°.