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Instructions:
The questions are in the document attached below.
Need the Mat lab code as well.
In your MATLAB code, generate a 2D mesh plot of the E and H vector fields, versus the two spatial coordinates, x and y, to map the field vectors. For the plot, use the function quiver.
Note: You need to plotthe field components x and y. You need to include the following line in your code:
Create such plots for the E and H fields in to different windows.
Observe the plots and fill the Questionnaire.
Print out the Questionnaire, your MATLAB code, and a copy of your command window showing the values used to answer questions. Staple the pages and hand in by the end of the class period. (DO NOT print out all 5 plots.)
Show all your work, to receive full credit.
quiver(x,y,Ex.Ey)
In order to use this command you must first define the vectors x and y, using the functions meshgrid. You need to include the following line in your code.
Label the axes. In order to label your axes, use the commands xlabel, ylabel, and zlabel. For syntax help, type help xlabel.
[x,y] = meshgrid(0:a/25:a;0:b/25:b)
Where a and b are the dimensions for the waveguide for the x and y axis respectively.
Give brief but accurate and thorough explanation if necessary. Provide the math expressions to show how you’ve obtained the particular result.
Part I
What is the cutoff frequency equation and what is the meaning?
What is the meaning of TEM, TE and TM propagation?
For an air-filled waveguide with dimensions a = 2b = 4 cm. Using Matlab, write a script and compute:
Calculate the first four modes for a TM propagation and the cutoff frequencies.
Chose a frequency slightly greater than the minimum cutoff frequency and compare the free space wavelength and the wavelength in the waveguide. Which one is bigger?
Using the equations in the textbook plot the electric and magnetic field distribution for the cross-section area (x-y components). Get the plots for the first three modes in a TM propagation. (page 385, Eqn 8.104). Explain what you see
Part II
In this section you will design a can antenna at the frequency of 2.4 GHz. The can antenna is composed by a metal coffee can and a wire that is used as a radiator, as shown in figure.
Coffee can dimension:
Metal can length = 5.25 (13.3 cm)
Metal can diameter = 3.9 (9.9 cm)
Calculate the length for the monopole. ( is the wavelength at free space)
The radiator (monopole) is a distance d away from the backwall of the can. Keep in mind that when a EM hits a metal wall (a good conductor) there is no transmitted wave. Instead, a full reflection of the wave is produced with a phase shift of 180 degrees. In other words:
From air to metal
Calculate the distance d (in term of the wavelength) that makes the reflected wave from the backwall add constructively with the radiated wave from the monopole. (show the steps and make a clear explanation)
Keep in mind that the monopole is inside the can. This metal can can be modeled as a circular waveguide. This means that you need to calculate the wavelength for this particular waveguide. This is the wavelength needed to calculate the distance d. Calculate the value for d. What are the values for the wavelength at free-space and inside the wavelength? Compare them.
Where D is the can diameter
Now that you have all the dimensions you can fabricate the antenna and test it!
TA demo
We can calculate experimentally the gain of our can antenna using a VNA and the Friis equation. Assume that to identical can antennas point to each other directly and they are separated 1m. The VNA shows a value of S21 = -24 dB. Calculate the gain of the antennas (assume both have the same gain). Show your calculations.
RUBRIC |
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Excellent Quality 95-100%
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Introduction
45-41 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. |
Literature Support 91-84 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned. |
Methodology 58-53 points Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met. |
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Average Score 50-85% |
40-38 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided. |
83-76 points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration. |
52-49 points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met. |
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Poor Quality 0-45% |
37-1 points The background and/or significance are missing. No search history information is provided. |
75-1 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration. |
48-1 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met |
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