Question

1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that the average intensity of the wave of electric field E(x, t) = Eo sin(kx - wt) is Io After interference, please calculate the intensity of the light emitting from the single slit by using the phasor calculation. Ap Ao A Ao Ad Ag Ao Ap i

Answer 1

0لليل intensití the he ngle ,he زل رم cCOnstruction and addition 6آپه oroyd AD geo mesy The phaser the Nidth The into The path dilerence Succeire js divid ed each e idth Suts between Aices it the are eaual and between the ngle SO are The uices fuecessie YOFOyd S anned with CS Braeo amScanner

qual the Dave -Alit all so the lengths equal Aices the 'Nidth and length the phasors e . FoY all the a large umbes pha sor Curcle arc e approximate Ne Niu this angle. the call tHat Now Aubstends between pha sor phase aliference the the furst and Which Last the is3Ta in e 2 has magnitude A written fum The phasot Rhin OY an be which the rino h here tormed by phasor Aum. 2 radius azis, pasora the phaso shonn hhere the pho se ine traight the all ace the kum Blue -the angle gues dej Ao which R = the Sanned with Ao CS magnityde So nScanner

phasor Az 2 R Ain( ) A 2 Ao inten Ampitude Pro portional to A Ab sauare e 2 2 Whe e 2 phaor um Le)ith Inten ty I Ao R. here Same are Scanned with CamScanner