Waveguide - attenuation of power

In summary, the conversation discusses finding the attenuation of power in a rectangular waveguide using the TE10 mode and the phasor exp(j(wt-kz)). After attempting to square the phasor and setting k=k'+k''j, the speaker did not get the desired result. They then mention the possibility of a typo in the equation and suggest that it should be P(z)=P(0)exp(2k''z). They express uncertainty about how to proceed to achieve the correct form.
  • #1
Anabelle37
39
0

Homework Statement



Show from general considerations that the attenuation of power in the rectangular waveguide (TE10 mode propagating in z-direction) is:
P(z)=P(0)exp(-2k''z)
where k'' is the imaginary part of the wavevector in the phasor exp(j(wt-kz))

Homework Equations



power is proportional to the square of the amplitude


The Attempt at a Solution



tried squaring the phasor and setting k=k'+k''j but did not get right answer.
Please help!
 
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  • #2
What happens when j and j meet in the exponential?
 
  • #3
think there is a typo in the question it should be P(z)=P(0)exp(2k''z).

after squaring the phasor I get: P(z) = exp(2j(wt-k'z))exp(2k''z)

then i don't know what to do to get in right form.
 

Related to Waveguide - attenuation of power

1. What is waveguide attenuation of power?

Waveguide attenuation of power refers to the decrease in power of an electromagnetic wave as it travels through a waveguide. This is caused by various factors such as reflections, absorption, and scattering.

2. How is waveguide attenuation of power measured?

Waveguide attenuation of power is typically measured in decibels (dB) per unit length. This measurement can be obtained through various methods such as using a power meter or a vector network analyzer.

3. What are the causes of waveguide attenuation of power?

The main causes of waveguide attenuation of power include ohmic losses, dielectric losses, and radiation losses. Ohmic losses occur due to the resistance of the conductive material of the waveguide, while dielectric losses occur due to the imperfections of the dielectric material. Radiation losses occur when the waveguide is not perfectly enclosed and some energy escapes.

4. How does the frequency of the electromagnetic wave affect waveguide attenuation of power?

The frequency of the electromagnetic wave can significantly affect waveguide attenuation of power. Higher frequencies tend to have higher attenuation rates due to increased dielectric and radiation losses. As a result, waveguides are typically designed for specific frequency ranges to minimize attenuation.

5. Can waveguide attenuation of power be reduced?

Yes, there are various methods to reduce waveguide attenuation of power. These include using low-loss materials and coatings, optimizing the design and dimensions of the waveguide, and using specialized techniques such as corrugation or flaring to minimize reflections and improve transmission efficiency.

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