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Atmospheric Refraction

Due to variations in the density of the atmosphere, electromagnetic radiation is refracted according to the varying refractive index with height. Variations decreases linearly with height under standard conditions (no localized disturbances). As a result, the wave gradually curves until, if the wavelength and angle are correct, the signal bends back toward the earth (see graphic below).

As with visible light waves, radio waves must equal a critical angle in  order to be transmitted between regions of different refractive indices. When less than the critical angle is experienced, the waves are bent at the interface back into the medium from which they originate. In the case of an abrupt interface like air and water in a glass, the bending is equally abrupt. Layers of the atmosphere present a much more gradual interface so the reflection tends to exhibit a more curved shape.



Atmospheric refraction of electromagnetic waves vs. frequency - RF Cafe


Pencil refraction in glass of water - RF CafeThis image shows the familiar pencil in a glass of water





RF Cafe Software

RF Cascade Workbook
RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
frequency conversion & filters

Smith Chart™ for Excel
Smith Chart™ for Visio
RF & EE Symbols Word
RF Stencils for Visio

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