I Order Maxima under the Fraunhofer Envelope

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The discussion centers on the interpretation of order maxima in spectrometer observations of polychromatic sources like mercury and hydrogen. It questions whether each Fraunhofer envelope corresponds to a specific order or if the lines within the envelopes represent individual orders, with the central line indicating the central maxima. Additionally, it addresses the increasing separation of spectral lines after each order, attributing this to the interplay between the diffraction pattern from a finite-width slit and the interference pattern from a double slit. The concept of the array theorem is highlighted, explaining that the envelope represents the diffraction pattern, with peaks correlating to diffraction orders. Understanding these relationships is crucial for accurate spectral analysis.
Zibi04
Let's say we are using a spectrometer to observe the order spectrum of mercury, a polychromatic source.
Each order contains a an array of colour bands.
In the case of the following image: http://imgur.com/a/bnm9r , I was wondering if each Fraunhofer envelope represented one order, (m = 1 , 2 , 3 ...) or if each line under the envelopes represent each order, where the central line in the first envelope is the central maxima.

Also, the following picture is the order spectrum of hydrogen http://imgur.com/a/DkrJC
Why is it that after each order, the spectral lines separate further away from each other?
 
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In a double interference with finite width of the slits, it's useful to distinguish between diffraction order and interference order. The reason is that the intensity pattern as seen in the screen is a product between the single diffraction pattern from a slit with non-zero width and the double slit (but zero slit width) interference pattern. Some books called this product rule the array theorem. The envelope is the diffraction pattern from a single slit, therefore the peaks of the envelope correspond to a given diffraction order.
 
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