Standard Handbook for Aeronautical and Astronautical Engineers

Chapter 11: Avionics and Astrionics

Section Editor: Marc Pelegrin

PART 1. THE ELECTROMAGNETIC SPECTRUM

Florent Christophe

Radio waves propagate in the vacuum or through the complex media surrounding the Earth-or other planets-and carry information from the source to the receiver. We will focus in this subsection on radio waves involving man-made transmitters for avionics or astrionics applications-i.e., communications, navigation, surveillance, and radiolocation-but the case of the transmitter as a natural source may also be considered for radioastronomy or Earth observation from space.

11.1. RADIOWAVES IN A VACUUM

Radio waves, inferred from Maxwell equations, first observed by Hertz in 1886, and applied for long range by Marconi in 1906, are a combination of an electric field E and a magnetic field H of periodic time variations, produced by electric charge displacements or electric currents.

In a vacuum, far enough from those electric sources, E and H fields appear as plane waves following expressions:

(11.1)
(11.2)

where E 0 and H 0 are orthogonal vectors, their modules being linked by

(11.3)

The power density transported by such waves is given by:

(11.4)

The direction of vector E 0 defines the linear polarization of the wave; ? is its frequency, and k is the wave vector indicating the direction of wave propagation, orthogonal to both E 0 and H 0. They are linked through

(11.5)

where c is the velocity of light in a vacuum, equal to 3 10 8 m/s. Vector r

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