Let's say we have a path Length AC. Point A transmits a signal at P(adsbygoogle = window.adsbygoogle || []).push({}); _{transmit}.

From Friis' Path Loss formula: (assumming Gain for receiver and transmitter antennae are 1.)

##P_{received} = P_{transmit} (\frac{λ}{4π* LengthAC})^2##

,when point C contains the receiver.

What if I divided this into two segments. They should still have the same answer right?

Let's say point B is somewhere between A and C.

Theoretically, the path loss in AB plus the path loss in BC should equal the path loss in AC. If I do this using the formula.

##P_{received at B} = P_{transmit} (\frac{λ}{4π* LengthAB})^2##

##P_{received at C} = P_{received at B} (\frac{λ}{4π* LengthBC})^2##

Combining these two should get me to the total of the equation before. How should I combine them? I couldn't just multiply or add them together. The math would be messy. Am I missing some assumptions here?

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# Friis Path Loss on a Segmented Path Derivation

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