Question About Diffraction Orders

[saybrook1]

Homework Statement

Light is normally incident on a double slit system. I'm asked to calculate the number of "orders(maxima)" visible on a screen placed in front of the slits. The light wavelength and slit separation are given. I understand that I can calculate the "order" from m=d/λ but does this number tell me the total maxima? Or am I to understand that there is a central maximum at m= 0 and then maxima at every ±m? For instance I got m=8.4; Does that mean I have 17 visible maxima or 8?

Thanks!

Homework Equations

dsinθ=mλ

The Attempt at a Solution

I have calculated m but I don't quite understand it's meaning.

 

[Dr Transport]

There are two things that need to be considered here, the grating equation which you quote gives the angular distribution of the maxima from a single slit. Since you have a pair of slits, there is more going on here. The diffraction from a single slit gives an intensity \approx sinc^2() envelop, the addition of the second slit modulated the intensity within this envelop.

http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide14.pdf

 

[saybrook1]

There are two things that need to be considered here, the grating equation which you quote gives the angular distribution of the maxima from a single slit. Since you have a pair of slits, there is more going on here. The diffraction from a single slit gives an intensity \approx sinc^2() envelop, the addition of the second slit modulated the intensity within this envelop.

http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide14.pdf

Okay, thanks for the input, I'm going off of Halliday and Resnick Ch 36.7. He says that the d is the spacing between the slits and I assume that if it's far enough away, dsinϑ=mλ will be sufficient to determine maxima for a double slit setup - I believe that the single slit analogue to this equation, asinϑ=mλ, where a is the slit width, gives orders m which are minima.