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1996 - 2016
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RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The Internet was still largely an unknown entity at the time and not much was available in the form of WYSIWYG ...
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Both amplitude and phase errors are introduced when mismatched impedances are present at an electrical interface. When an ideal match is not encountered by the incident (forward) wave, part of it is coupled to the load and part is reflected back to the source. Upon arriving back at the source, part of the reflected wave is coupled back to the source and the rest is reflected back again to the load. The process iterates until the amplitude of the wave is attenuated to an insignificant level due to the loss of the interface (cable, connector, waveguide, etc.). Each time a reverse and forward reflection occurs, the amplitude and phase of all the signal components traversing the path between the source and the load add vectorially. The result is ripple across the frequency band (since the VSWR of each interface typically varies with frequency), as well as a portion of the incident power being reflected back to the source. What begins as a pure sinewave can look like a real mess when viewed on an oscilloscope.
Note: Only enter values in the yellow cells or risk overwriting formulas!
εA = +20 * log (1 + |ΓA * ΓB|) [dB]
-20 * log (1 - |ΓA * ΓB|) [dB]
εΦ = ±(180 / π) *| ΓA| * |ΓB| [°]
Note: This formula has also been seen
εΦ= ±(180 / π) * sin-1 (|ΓA| * |ΓB|) [°]
but for small angles, the difference
See a derivation of this equation as provided
by Haris Tabakovic
|Resultant MIN and MAX
VSWRMAX = SA * SB
VSWRA = 2.5:1 --> SA = 2.5