Order of magnitude of Grating Spacing

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SUMMARY

The discussion centers on determining the order of magnitude of grating spacing required to observe microwaves with a wavelength of 3 cm using the diffraction grating equation nλ = d sinθ. The participants clarify that to resolve light effectively, the grating spacing must closely match the wavelength of the light being analyzed. For microwaves, a grating spacing on the order of centimeters is necessary, contrasting with the much smaller spacing required for visible light, which is around 10,000 slits per centimeter.

PREREQUISITES
  • Understanding of the diffraction grating equation nλ = d sinθ
  • Familiarity with electromagnetic radiation and its wavelengths
  • Knowledge of grating spacing requirements for different types of waves
  • Basic principles of wave optics and diffraction
NEXT STEPS
  • Research the application of diffraction grating in spectroscopy
  • Explore the relationship between wavelength and grating spacing in various electromagnetic spectra
  • Learn about the construction and use of diffraction gratings for microwaves
  • Investigate the principles behind microwave antennas and their design
USEFUL FOR

Students studying wave optics, physicists interested in electromagnetic radiation, and engineers working with microwave technology will benefit from this discussion.

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Homework Statement



Some microowaves (EM radiation) have wavelength of 3 cm. What would be the order of magnitude of grating spacing needed to observe these ?

Homework Equations



n\lambda = d sin\theta

The Attempt at a Solution



First of all, I am not really sure if I was using the correct equation for that question but all what I am doing is about the diffraction grating spectrometer, gas spectra wavelength of light. In that question there was no angle so I can find n. The only thing is the wavelength given. I do not want you to solve it. I just want you to lead me to where should I go ?
 
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I once saw this video of a guy making ball lightning in a microwave oven, and he used a graphite 'antenna' that was 1/4 the 110-cm wavelength of the microwaves, and a circular 'focusing' bowl that was 1/2 the wavelength. If that gives you any idea.

So I think this problem is easier than you're making it. In order to resolve light, you need a grating which approximately matches the wavelength of the light. So for visible light, you need small spacing (like 10,000 slits per cm), and for radio waves (like those "very large array" dishes they use for stars) you need large spacing, like several meters between dishes.
 

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