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keisanHigh-precision calculations for everyday life and work

Converting Impedance to Reflection Coefficient (Two Definitions)

Author: tonagaiExecutions: 38005

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This tool calculates the reflection coefficient based on the load impedance and characteristic impedance. There are two definitions of the reflection coefficient (S-parameter)—Power waves and Traveling waves (Pseudo waves)—and this tool supports both. If the characteristic impedance is a real number, the two values are identical. Note that if the characteristic impedance has an imaginary component, the two values will differ.
Power waves : Γ=(Z-Zo*)/(Z+Zo)
Traveling waves : Γ=(Z-Zo)/(Z+Zo)
Load Impedance
Ω(Enter as a complex number, R+Xi)
Characteristic Impedance
Ω(Enter as a complex number, Ro + Xoi)
Definition of the Reflection Coefficient
Reflectance Coefficient   Re(Γ) + Im(Γ)i
Reflectance (Magnitude)   |Γ|
Reflection Coefficient (Phase) [°]   θ
Return Loss (S11) [dB]
VSWR 
*September 9, 2020: In response to requests, we have added output for polar coordinates, return loss (S11), and VSWR.

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