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r Y s Case Kr Er q ykeF IBr or lot z B and By Oil x TBI Ex 2nd Ey are continuous F i ni ne 7 go at 2 0 ki since E EF Er Eif Et sina.x.is o BrytBiy Bty Ei I E e r wt IEieidi Er I Ereilkr.ir ut E't I Eteilke.ir WH But Ki kiwsoizthisinoyhlkr krasorztkrssino.ci ke keasOtItkc Shot 7 So in E o plane at position x y we tune Eieilkisinoiy WH Ereilkrsinory UH Eteilkesmoety we to win for all y need sIa7Egnf1 b.theJkiS1nOi k.r Shor Kestrot

r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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Page 1: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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

Page 2: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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

Page 3: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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

Page 4: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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

Page 5: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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

Page 6: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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

Page 7: r Y Case IBr q ykeFphysics.stmarys-ca.edu/courses/Phys140/19F-Optics...Krr Y s Case Er IBr q ykeF or lot Oil z B andBy x TBI Ex 2ndEy are continuous F i ni ne 7 go at 2 0 ki since

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