Patch Antenna Inset Feed Past Exam Question

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The discussion focuses on understanding the specifics of part 3.d) of a past exam question related to patch antenna inset feed design. The user is uncertain if the question refers to the gap width between the feed and the patch, speculating that a smaller width would minimize perturbation to the antenna. They note that the textbook does not provide sufficient guidance, only mentioning potential capacitance effects and resonance shifts. Additionally, there is confusion regarding the lecturer's provided answer for part 3.c), with the user believing their calculation of approximately 9mm for the inset is correct. The user seeks clarification on the appropriate width for the inset gap, suggesting it may relate to the wave phase, potentially being a fraction of the wavelength.
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I'm trying to work out what 3.d) is meant to be. I'm not entirely sure which part of the antenna it is referring to; I assume it's referring to width of the gap between the feed and the patch. If this is the case, I have no idea what width one would want to make it. I would've thought as small as possible to not perturb the antenna much.



As far as I can tell, the textbook we're using (Antenna Theory: Analysis And Design by Balanis) doesn't really talk about it, except for saying that it'll introduce some capacitance and perhaps shift the resonance by up to 1%.

Question The red numbers are the lecturer's answers. I'm not really sure how he got 13.36mm for 3.c). I believe the inset should be about 9mm based on:
R_{in} (y=y_0) = R_{in}(y=0) \cos^2\left(\frac{\pi}{L} y_0\right) \\<br /> 75=150 \cos^2\left(\frac{\pi}{40.1\text{m}} y_0\right) \\<br /> y_{0} \approx 9\,\text{mm}

I really have no idea about part 3.d) though.

Could someone please point me in the right direction?

Thanks.
 

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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 
I can confirm that the lecturers answer for the width is simple wrong and what I've done is correct.

As for the width the inset gap has to be, I still don't know. I think it is meant to have something to do with the phase of the wave (perhaps it should be made, say, half or quarter wavelength).
 
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