Aperiodic Diffraction Grating

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Discussion Overview

The discussion revolves around the concept of aperiodic diffraction gratings, specifically a grating design where the spacing of the lines varies in a specific manner. Participants explore the implications of this design, its relation to existing technologies like holograms, and the mathematical considerations for analyzing diffraction patterns.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the existence and experimentation with a specific type of aperiodic diffraction grating that has varying line spacings.
  • Another participant mentions that non-repeating diffraction gratings, such as holograms, are common and suggests that the far field diffraction pattern can be computed using the Fourier transform of the aperture function.
  • A participant notes the potential challenges in numerical precision when dealing with increasingly narrow slit patterns and highlights the importance of defining "far field" in relation to maximum line separation.
  • One participant realizes that their idea of creating a grating by blazing lines onto aluminum aligns with the concept of a hologram.
  • Another participant draws a parallel between the discussed grating and the function of a zone plate.

Areas of Agreement / Disagreement

Participants express varying degrees of familiarity with the topic, but there is no consensus on the specific grating design or its experimental status. Multiple viewpoints regarding the implications and applications of aperiodic gratings are presented.

Contextual Notes

Participants mention potential limitations related to numerical precision in calculations and the definition of "far field," but these aspects remain unresolved.

desertshaman
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TL;DR
I wonder whether this geometry has been tried to make a monochromatic source?
Hi People :)


The drawing shows a broadband light source illuminating a diffraction grating whose lines are spaced differently along the grating.

The blazed lines of the grating are spaced in such a way that the path length from every line to the slit is one wavelength shorter than the line before it and one wavelength longer than the line after it.

I wonder whether gratings of this kind have been tried, please?

Mark

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I don't know about that particular geometry, but non-repeating diffraction gratings are fairly common. Holograms are one example.

You can compute what the far field diffraction pattern of any slit structure would be - it's just the Fourier transform of the aperture function. I suspect it would have to be done numerically, so with a slit pattern that's getting narrower and narrower you might find that numerical precision is an issue that needs some careful handling. If you're planning to compare it to experiment you'd also need to be careful about what counts as "far field" for the maximum line separation, or do the (harder) near field calculations.
 
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:) Thank you for that, @Ibix
I now see that what I'm thinking of making, by blazing razor lines onto aluminium, is in fact a hologram.
 
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The action is the same as a zone plate.
 
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