k of the incident wave) will be greater t is too small to satisfy the required kinematics boundary condition, (19)

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Transcription:

TOTAL INTRNAL RFLTION Kmacs pops Sc h vcos a coplaa, l s cosd h cd pla cocds wh h X pla; hc 0. y y y osd h cas whch h lgh s cd fom h mdum of hgh dx of faco >. Fo cd agls ga ha h ccal agl s 1 ( /, h hooal compo of (.. h compo x of h cd wav wll b ga ha h magud of h asmd lgh s vco = (/ '. Ths s show h fgu blow; oc s oo small o sasfy h qud macs bouday codo, x x (19 Thus, h s o al vco o sasfy h codo (19 wh >. as = as > c Slow mdum c ' fas mdum ' X ' < Sll s law o bg fulflld Fg. 0 Toal al flco. Fo > h lgh of h al-vaabl wavvco (asmd wav us ou o b oo small o sasfy h bouday codo x x. Tha s, dos o xs a al-vaabl wav-vco abl o sasfy h mac codos (Sll s law a h bouday. Th mplcao s ha h cd wav s fully flcd (h s o popagag asmd wav pag h dco.

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So, dos xs lcomagc fld h mdum of low dx of faco, bu s auad xpoally byod h fac. No gy flow (o popagag gy cosss vcally h fac. Dyamcs pops How o copoa h complx vco Fs, Sll s law sas s / Noc, Hc, o has, s s s s o h Fsl quaos? s. I ms of h ccal agl (5 s 1 fo > (5 s a complx agl wh >. [ Noc, fo a complx agl / j o obas 1 s ( / j 1 1 ( j 1 >1 ] L s valua also h cos of h complx agl. O o had, w hav ' os os, o h oh had, whch gvs os Usg h xpsso fo gv (3, os S whch gvs, os S S Sc 1 1 fo > (6

Noc fom (4 ad (6 ha h complx agl sasfs, s cos 1 (7 Th xpsso fo cos, obad abov fo h cas wh > a sd ow h Fsl s quaos: Fo T o s- polaao o o os os os os Amplud flco coffc o o os os os Amplud asmsso coffc Noc ha fo a complx os, as gv (6, h magud of s qual o1, as xpcd a oal al flco cas. 1 (8 Fo TM o p- polaao o os os o os os Amplud flco coffc o o os os os Amplud asmsso coffc Noc also ha (6 mpls, 1 (6 Noc ha boh cass, T ad TM polaao, h complx os gv (4 suls complx amplud flco coffcs. I mpls ha, ud oal al flco codos, h s (7 a chag h phas of h flcd wav. Fsl s hombus. Ths phas chags ca b uld o cov o yp of polaao o aoh. Fo xampl a Fsl s hombus, laly polad lgh wh qual T ad TM polaao ampluds s covd by wo succssv al flcos (ach volvg a lav phas chag of 45 o o cculaly polad lgh.