- #1
ProPatto16
- 326
- 0
Homework Statement
The intensity of light I in the fraunhofer diffraction patter of a single slit is
I=I0(sin[itex]\gamma[/itex]/[itex]\gamma[/itex])2 where
[itex]\gamma[/itex]=[itex]\pi[/itex]asin[itex]\theta[/itex]/[itex]\lambda[/itex]
Show that the equation for the vaules of [itex]\gamma[/itex] at which I is maximum is tan[itex]\gamma[/itex]=[itex]\gamma[/itex]
well, intensity is approxiamately max as follows
Im=I0/[(m+1/2)2[itex]\pi[/itex]2]
and for m=1... Im=0.0472I0
m=2...I0=0.0165I0
but i have no clue how to "show" that tan[itex]\gamma[/itex]=[itex]\gamma[/itex] at the max intensity??