antennas & propagation

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Antennas and Propagation Metu EE426 Formulas

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Page 1: Antennas & Propagation

ANTENNA & PROPAGATION

Far Zone:

: Field Pattern

Instantenous Poynting Vector (Power Density):

Avarage Power Radiated:

Radiation Intensity: (independent from r)

unitsphere

Directivity:

Beam Solid Angle:

Page 2: Antennas & Propagation

Approximate Formulas for Directivity:

Krauss: (rad) Thai Pereira: (degree)

Beam Efficiency: ( : power radiated in cone angle θ, first null angle)

Gain and Efficiency:

\_____/ \___/(efficiency)

\_________/overall efficiency:

voltage reflection coefficient:

Transmitter Receiver

Page 3: Antennas & Propagation

Vector Effective Length:

∝ Field Pattern

output at open circuit receiver, input for

receiver

Effective Area (Aperture):

output power to load, incident power density

(input)

at max value:

\_____/free space

propagation loss

: Effective Isotropic Radiated Power (EIRP)

Because for

, ,

Page 4: Antennas & Propagation

Infinitesimal Dipole:

,

,

Small Dipole:

\__________/

,

Finite Length Dipole:

,

Half Wavelength Dipole:

Page 5: Antennas & Propagation

Loop Antenna:

,

Array:

isotropic sources:

Array Factor:

\______/

for ,