Question

In: Physics

What is the meaning of standing waves in VSWR terms and correlated the definition in area...

What is the meaning of standing waves in VSWR terms and correlated the definition in area of antena. please explain it briefly

Solutions

Expert Solution

In antenna theory, for a source to deliver power to an antenna, the impedance of the source and transmission line must be well matched to the impedance of the antenna. The parameter VSWR (Voltage Standing Wave Ratio) is a measurement of the level of standing waves on a transmission line, i.e., it numerically describes how well the antenna is impedance matched to the source or transmission line. Thus, standing waves represent the power that is not accepted by the load and reflected back along the transmission line.

Standing waves in terms of VSWR:

In any system, the source, transmission line and antenna all have a characteristic impedance and to obtain the maximum power transfer from the source to the transmission line, or the transmission line to the antenna, the impedance levels must match. However, if the impedance of the antenna doesn't match with that of the transmission line, then it is not possible for all the power to be transmitted. In such a situation, the power that is not transferred to the antenna travels back along the transmission line towards the source. In such a situation, the voltages and currents of the forward and reflected waves in the transmission line superposes to form a standing wave.

VSWR is mathematically expressed as

where is the reflection coefficient. The VSWR is always real and positive for antennas. The smaller the VSWR, the better the antenna is impedance matched to the transmission line and more power is delivered to the antenna. The minimum VSWR is 1.0, i.e., no power is reflected from the antenna, which is ideal.

Area of antenna:

The effective area or effective aperture is an important parameter that determines the receive power of an antenna. It describes how much power is captured from an incident plane wave with the same polarization as the antenna and travelling towards the antenna in the antenna's direction of maximum radiation (i.e., the direction from which the most power would be received).

The effective area is mathematically expressed as

where is the antenna gain which describes how much power is transmitted in the direction of peak radiation to that of an isotropic source.


Related Solutions

Explain how standing waves are produced in terms of wave interference.
Explain how standing waves are produced in terms of wave interference.
standing waves on a guitar string
Standing waves on a guitar string form when waves traveling down the string reflect off a point where the string is tied down or pressed against the fingerboard.The entire series of distortions may be superimposed on a single figure, like this (Intro 2 figure) , indicating different moments in time using traces ofdifferent colors or line styles.What is the wavelength λ of the standing wave shown onthe guitar string?
2. What are the differences between standing and traveling waves?
2. What are the differences between standing and traveling waves?
The velocity of waves on a string is 95.0 m/s. If the frequency of standing waves...
The velocity of waves on a string is 95.0 m/s. If the frequency of standing waves is 160 Hz, how far apart are two adjacent nodes? If two successive overtones of this vibrating string are 240 Hz and 320 Hz, what are the frequency of the fundamental and the length of the string?
The speed of waves on a string is 97 m/s. If the frequency of standing waves...
The speed of waves on a string is 97 m/s. If the frequency of standing waves is 485Hz, how far apart are the two adjacent nodes? Two sig figs and proper units
a) Definition of terms.Please briefly give the meaning of each of the following terms: 1. colligative...
a) Definition of terms.Please briefly give the meaning of each of the following terms: 1. colligative property 2. vapor pressure 3. semi-permeable membrane 4. osmosis 5. dialysis
What are the three longest wavelengths for standing waves on a 240 cm long string that...
What are the three longest wavelengths for standing waves on a 240 cm long string that is fixed at both ends? If the frequency of the second-longest wavelength is 50.0 Hz, what is the frequency of the third-longest wavelength?
1. describe what is needed to form longitudinal standing waves in a slinky and how they...
1. describe what is needed to form longitudinal standing waves in a slinky and how they are formed. 2. what is the difference between a longitudinal wave and a standing longitudinal wave. how are standing waves formed? 3. explain how sound waves are propagated through air. are these longitudinal or transverse waves? 4. describe the motion of individual air molecules at a node and at an antinode. compare this to the motion of the individual spring coils at nodes and...
Answer ALL Key Terms below. Meaning / definition and examples and / graphs wherever necessary.
  Part A Answer ALL Key Terms below. Meaning / definition and examples and / graphs wherever necessary. 1) Production possibilities 2) Opportunity cost 3) Economic growth 4) Public goods versus private goods 5) Cost-benefit analysis 6) Inelastic demand versus Elastic demand 7) Externality 8) Performance standards versus Design Standards 9) Marketable pollution permits 10) Minimum wage Part B Answer the following questions at least in 150 words. Please include graphs and / examples wherever necessary. 1- Discuss the reasons...
The physics of wind instruments is based on the concept of standing waves.
The physics of wind instruments is based on the concept of standing waves. When the player blows into the mouthpiece, the column of air inside the instrument vibrates, and standing waves are produced. Although the acoustics of wind instruments is complicated, a simple description in terms of open and closed tubes can help in understanding the physical phenomena related to these instruments. For example, a flute can be described as an open-open pipe because a flutist covers the mouthpiece of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT