- #1
neelakash
- 511
- 1
Homework Statement
Interesting Problem...
monochromatic light of wavelength [tex]\lambda[/tex] falls on a slit and is transmitted as
t=1 for 0<x<(d/2)
t=-1 for (-d/2)<x<0
t=0 otherwise...
Define [tex]\ w [/tex]=[tex]\ k(d/2) [/tex][tex]\sin[/tex][tex]\theta[/tex]...[most possibly,if I can exactly remember...]
Now what should be the dependence on w of Intensity [tex]\I(\theta)[/tex]?
It was a multiple choice question and a number of options were given...
(A) [tex]\frac{sin^2 \omega}{\omega^2}[/tex]
(B) [tex]\frac{sin^2 \frac{\omega}{2}}{\omega^2}[/tex]
(C) [tex]\frac{cos^2 \omega}{\omega^2}[/tex]
(D) [tex]\frac{sin\omega}{\omega}[/tex]
Homework Equations
The Attempt at a Solution
(B) seems plausible to me as it considers w/2...Note that in this particular problem,the phasor amplitudes are different about the centre.If you take the geometrical point of view,the phasor vectors will be a bit different than they are shown normally.
[I do not know which classical book uses the geometrical phasor derivation...I saw it in Resnick Halliday Krane's fifth volume.]