1. ANTENNA THEORY ANALYSIS AND DESIGN Chapter.2 Problem
Sungjoon YOON

2. Problems 2. Fundamental Parameters Of Antennas 2.7 Parameters
2.34 Polarization
2.67 Maximum Effective Area
Antennas & RF Devices Lab.

3. 2. 7. The power radiated by a lossless antenna is 10 watts
2.7. The power radiated by a lossless antenna is 10 watts. The directional characteristics
of the antenna are represented by the radiation intensity of
(watts/unit solid angle)
(a) maximum power density (in watts/square meter) at a distance of 1,000 m
(assume far-field distance). Specify the angle where this occurs.
(b) exact and approximate beam solid angle .
(c) directivity, exact and approximate, of the antenna (dimensionless and in dB).
(d) Gain of the antenna (dimensionless and in dB).

4. (a) maximum power density (in watts/square meter) at a distance of 1,000 m
(assume far-field distance). Specify the angle where this occurs.

5. (b) 1.exact beam solid angle
2.approximate beam solid angle
= half-power beamwidth in one plane (rad)
= half-power beamwidth in a plane at a right angle to the other (rad)

6. (c) directivity, exact and approximate, of the antenna (dimensionless and in dB)
(d) gain

8. 2.34. A 300 MHz uniform plane wave, traveling along the x-axis in the negative x
direction, whose electric field is given by
where is a real constant, impinges upon a dipole antenna that is placed at
the origin and whose electric field radiated toward the x-axis in the positive x
direction is given by
(a) Polarization of the incident wave (including axial ratio and sense of rotation,
if any). You must justify (state why?).
(b) Polarization of the antenna (including axial ratio and sense of rotation, if
any). You must justify (state why?).
(c) Polarization loss factor (dimensionless and in dB).

9. 2.34.
elliptical polarization
linear polarization

10. Polarization loss factor(PLF)
unit vector
unit vector

11. 2. 67. An antenna has a maximum effective aperture of 2
2.67. An antenna has a maximum effective aperture of at its operating
frequency of 100 MHz. It has no conduction or dielectric losses. The input
impedance of the antenna itself is 75 ohms, and it is connected to a 50-ohm
transmission line. Find the directivity of the antenna system (“system” meaning
includes any effects of connection to the transmission line). Assume no Polarization losses.
the maximum effective area of an isotropic source is equal to the ratio of the
maximum effective area to the maximum directivity of any other source

12. 2.16 Maximum Directivity And Maximum Effective Area
The relationship between directivity and maximum effective area
directive properties
Figure Two antennas separated by a distance R
The power transferred to the load
If antenna 2 is used as a transmitter, 1 as a receiver
maximum effective areas (directivities)
If antenna 1 is isotropic, then = 1
the maximum effective area of an isotropic source is equal to the ratio of the
maximum effective area to the maximum directivity of any other source

13. If losses are included, then the maximum effective area
The input impedance of the antenna itself is 75 ohms, and it is connected to a 50-ohm
transmission line

14. Thank you for your attention
Antennas & RF Devices Lab.