Propagation over Plane Earth, exercise

Exercise

Consider a base station antenna with h_t= 30 meters and a mobile antenna with h_t= 2 meters. The mobile is d = 1,000 meters (1 km) separated from the base station. The carrier frequency is 1,000 MHz.

Compute length of the line-of-sight. (See the answer)

Compute length of the ground reflected wave. (See the answer)

Compute the phase difference due to path length differences. (See the answer)

Compare this with the approximation , (See the answer)
How significant is the difference? (See the answer)

At which distance would the phase difference be 2p? (See the answer)

Find the path loss at 500 and 1,000 meters from
. Note that this expression assumes R=-1. (See the answer)

Compute the angle of incidence Y, for d=1,000 meter, h_t=30 meter and h_r=2 meter. (See the answer)

Consider wet soil with e_r=25, s=2.10^-2 and x = s/(we₀)=18 10⁹s/f. Determine the reflection coefficients for horizontal and vertical polarization, using

and
,
respectively. Use the special purpose embedded calculator, below.

Reflection Coefficient Calculator

Show that around d = 160 meter and vertical polarization a sudden transition of the reflection coefficient occurs (Brewster angle is about 11 degrees)

Disclaimer: Executable software programs are provided with no guarantee whatsoever. Some browsers do not support Java applets or JavaScript 1.2. See License.

Input parameters:
Carrier Frequency:		MHz
Distance:		meter
Tx ant. height:		meter
Rx ant. height:		meter
e_r
s
Run calculation:
Results:
Angle of incidence Y		degree
Horizontal Polarization abs(R)
ang(R)		degree
Vertical Polarization abs(R)
ang(R)		degree

Reflection Coefficient Calculator

Input parameters:

Run calculation:

Results: