r y case ibr q ykefphysics.stmarys-ca.edu/courses/phys140/19f-optics...krr y s case er ibr q ykef or...
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r Y s CaseKr Er
q ykeFIBr or lot z B andByOil x
TBI Ex 2ndEyare continuousF i ni ne
7 go at 2 0
kisince E EF Er Eif Etsina.x.is o BrytBiy Bty
Ei I E er wt IEieidi
Er I Ereilkr.ir utE't I Eteilke.ir WH
But Kikiwsoizthisinoyhlkrkrasorztkrssino.ci
ke keasOtItkc Shot 7So in E o plane at position x y we tune
Eieilkisinoiy WH Ereilkrsinory UH
Eteilkesmoetywe
to win for all y need sIa7Egnf1b.theJkiS1nOik.r Shor Kestrot
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Enisinoi Eni Sinor Kent shot
Oi Or 2nd Nishi Ht Siro
But also the amplitudes SIssinoI
1 Eit Er Ee E
Now for B TFfi kwE Enwjyxeieillki.ir
wts
Ei Ei C smofztusq.ie ei di
Br hier C sincere asoryTeidr
Be EEt f smofttushy eidt
So Big Bry Bey becomes
Mi Eius Oi hi Eros Oi ntEtMOtSince di r It off 2 0
and Oi Oror Ni Ei Er us Oi ht Et WJ Ot 2
Now combine to find EreudEtin terms of Ei
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Nicolai gives
hi 2Ei cos Oi Niwsoithtces Ot Et
Sb Et 2nicosoinicosOithtcos Of
newsOt gives
Eiter ht cos Ot ni Ei Er as Oi 0
OR
F r news Ottnicutti Ei nicest nicestor
rs EE nicosOihtasothiasOi tht Wsot
Now we need to consider
the other orientation of E
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p case
1Er YKr ty keBr
Orc Beoil
Ot z
r EiBi ni n t
kiT Bi t Br I Bt
Bit Br Bt
KEE the Er Et Et3 ni Ei hi Er ht Etwhile
Ei t Er T Et at zeo
4 Ei cosOi ErasOi Et W1 Ot
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cos Oi 3 t ni 4 gives us
NicosOi 2 Ei ChewsOi trial EtOR
tp E2hic
News Oi t Nicos Ot
whilehe 4 Us Ot 3 gives us
NthEiasoiterardi coIOt ni Ei hier O
Er htcosoitniasotf E.CN comet At CDO2nd
rptns Oi
Nicosottntas Oi
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Power flowWe now have the relative field
strength what abut the powertransmitted
a beam is
oil 1 widerWt wt WI Otwi f i Ot
o Wiz as Oiwtw.eu
ces8iThbTPtAtItWtItPiAiTI wiIibut McEEolEt ATitan it
R I T PIPi
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Brewster angle rp o
rp o Nias Ot _Accs Oi 5
always have Nismoi Atsmot 6
6 5 staffgasdi Sino as A
Sin 2 di SIU 20TT ZO
witteAt wi
2ft I Wiwow
Ott Oi Th lso simple
SM Ot cos Oi
nismoi htsmot
htasoi.ttCadi hat