r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or...

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

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

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

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

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

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

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