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8 Radio-wave propagation The wavelength of any wave is the distance between like features on the waveform In the case of Fig 2-2, the wavelength ( ) is the distance between successive positive peaks We could also measure the same distance between successive negative peaks, or between any two similar features on successive waves In radio work, the wavelength of the signal is expressed in meters or its subunits The wavelength is proportional to the reciprocal of the frequency The wavelength of any wave is related to the frequency so that f = v, where f is the frequency in Hz, is the wavelength in meters, and v is the velocity of propagation in meters per second (m/s) Because radio waves propagate at the speed of light (which is also an electromagnetic wave), approximately 300,000,000 m/s in both free space and the earth s atmosphere, the lowercase letter c is used to represent velocity (rather than v), so you can rewrite this expression in the form fHz = c 300,000,000 = meters meters [21]
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These equations are sometimes abbreviated for use with the units kHz and MHz: FkHz = fMHz = 300,000 meters 300 meters [22]
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You can get an idea of the order of length of these waves by solving Eq 23 for several different frequencies: 100 kHz, 1 MHz (in the AM broadcast band), 10 MHz (in the shortwave bands), and 1000 MHz (microwave bands) If you work the equations, then you will find that these wavelengths are 3000 m (100 kHz), 300 m (1 MHz), 30 m (10 MHz), and 03 m, or 30 cm (1000 MHz) You can see from these numbers why 1 MHz is in what is called the medium-wave band, 10 MHz is in the short wave band, and 1,000 MHz is in the microwave ( very small wave) band At 100 kHz, which is 01 MHz, the wavelength is 3000 m, so this frequency is in the longwave band The place where the water analogy falls down most profoundly is in the nature of the medium of propagation Water waves move by moving water molecules; water is said to be the medium in which the wave propagates At one time, scientists could not conceive of the action at a distance provided by radio waves, so they invented a hypothetical medium called ether (or aether) for propagating electromagnetic waves (such as radio waves and light) It was not until the late nineteenth century that American physicists Michaelson and Morley proved that the ether does not exist Nonetheless, radio enthusiasts still refer to the stuff out of which radio waves arrive as the ether This terminology is merely an archaic, linguistic echo of the past
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The electromagnetic field: a brief review
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A great deal of heavily mathematical material can be presented about electromagnetic waves Indeed, developing Maxwell s equations is a complete field of study for
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The electromagnetic field: a brief review 9 specialists In this section, you will not use this rigorous treatment because you can refer to engineering textbooks for that depth of information The purpose here is to present a descriptive approach that is designed to present you with a basic understanding of the phenomena The approach here is similar to the learning of a conversational foreign language, rather than undertaking a deep study of its grammar, syntax, and context For those whose professional work routinely involves electromagnetic waves, this treatment is hopelessly simplistic For that I make no apology, because it serves a greater audience The goal here is to make you more comfortable when thinking about the propagation of electromagnetic fields in the radio portion of the electromagnetic spectrum Radio signals are transverse electromagnetic (TEM or EM) waves exactly like light, infrared (IR), and ultraviolet (UV), except for frequency Radio waves have much lower frequencies than light, IR, or UV, hence they have much longer wavelengths The TEM (EM) wave consists of two mutually perpendicular oscillating fields (see Fig 2-3) traveling together in phase One of the fields is an electric field and the other is a magnetic field
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