Assumption: Assume that the Transmitting antenna sends out a power (Pt). We assume that the transmit antenna is omni-directional, lossless and that the receive antenna is in the far field.
Step 1: The Power Density of the plane wave incident on the receive antenna which is at a distance ® from the transmitting antenna, can be calculated by:
Step 2: We assume that the transmit antenna has a gain (Gt), then the power density becomes:
Step 3: We assume that the receive antenna has an effective aperture of Ae. Then the power received by the receive antenna is (Pr):
Step 4: The Effective Antenna Aperture Ae, can also be defined as:
Step 5: The Final formula for the power received at the antenna can be denoted by the Friis Transmission Equation:
OR – If you prefer to use frequency over wavelength
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