Electrical – Physical meaning of reflection coefficient being complex

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Below is a wikipedia section about reflection coefficient in electrical engineering:

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source: https://en.wikipedia.org/wiki/Reflection_coefficient

It says that the incident to reflected wave ratio is complex. What does it indicate in practice here being complex?

Best Answer

it just means that the reflection coefficient can be represented as a complex number/quantity in the form :

a +jb or in polar notation using magnitude and angle.

It doesn't have any "physical" significance or so. Its just a mathematical tool to represent the nature of a quantity and simplify calculations. For eg: when we represent an impedance as a complex quantity, Z = a+jw , we can infer that a there is a real part which doesn't vary with input voltage (Resistance), and there is an imaginary part jw ( Reactance part due to inductors and capacitors), which can varies with input voltage frequency.