How to Calculate Maxima Heights After Giant Maxima in Multislit Grating?

[UrbanXrisis]

The formula for the amplitude for a multislit grating is:

$$A(Y,t)=\frac{M}{R}cos \left(\frac{2 \pi R}{\lambda}-2 \pi f t \right) \frac{sin^2 \left[(2N+1) \frac{x}{2}\right]}{sin^2 \left[\frac{x}{2}\right]}$$

a spectra would look something like http://www.svs.net/wyman/examples/hdsstv/papers/tuning/VK3CQE6-pm8a-1024lin-spec-xcl.gif

I am trying to find a formula not for the amplitude of the giant maximas but of the height of the maxima right after the giant maxima.

so I know maxima's occur when the denominator of sine is much smaller than the numerator. But how would I equate the maxima height right after the giant maxima?

any suggestions would be helpful

 

[Jhero]

Thank you for your interest in the formula for the amplitude of a multislit grating. I am always excited to see individuals exploring and questioning scientific concepts.

To address your question, I would first like to clarify that the formula you have mentioned is for the amplitude of the overall diffraction pattern, not just the giant maximas. The height of the maxima after the giant maximas can be calculated by taking into account the interference of all the individual slits in the grating.

One way to approach this would be to consider the grating as a series of multiple single-slit diffraction patterns superimposed on each other. The height of the maxima after the giant maximas can then be calculated by taking into account the interference of these individual patterns.

Another approach would be to use the formula for the amplitude you have mentioned and modify it to incorporate the phase difference between the different slits. This would give you a more precise calculation of the height of the maxima after the giant maximas.

I hope this helps guide you in your exploration of the multislit grating formula. Keep questioning and exploring, and don't hesitate to reach out for further clarification or assistance. Happy experimenting!