Part I- Wave Reflection and Transmission at Normal Incident. Part II- Wave Reflection and Transmission at Oblique Incident
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1 Apl 6, 3
2 Uboudd Mda Gudd Mda Chap 7 Chap 8 3 mls 3 o 3 M F bad Lgh wavs md by h su Pa I- Wav Rlo ad Tasmsso a Nomal Id Pa II- Wav Rlo ad Tasmsso a Oblqu Id Pa III- Gal Rlao Bw ad Wavguds ad Cavy Rsoao
3 xampl: Wav lad Poss - Tasm Tx Gao - Tasmsso L Pow as & Mahg Gudd Wav Impda 3- Aa Tasmg Pow, Chap 9 4- om o Sphal Radao, Losslss Mdum 5- om o 3 Rlo ad Tasmsso 6- om 3 o 4 Lossy Mdum 7- Aa Rvg Pow, Chap 9 8- Tasmsso L Pow Tas & Mahg Impda 9- Rv Rx Shp Radao by aa Chap 9 Wav popagao losslss mdum Chap 7 Wav popagao lossy mdum Chap 7 Aa po Chap 9 Wav ao aoss a bouday hs hap subma Pag 35
4 Ray psao o wav lo ad asmsso Nomal Id vs Oblqu Id Pag 35
5 Z / d / w Losslss paalll pla W a us all h asmsso-l ops ad hqus o Chap o aaly pla wav lo ad asmsso a as bw dssmla mda Is mpda Pag 35
6 x-polad pla wav d asmd ld Two losslss ad homogous dl mda wavumb k / Is mpda k k k k wavumb / Is mpda Pag 353
7 Fld Compos Tagal Nomal D Tagal Nomal B J Th bouday odos dvd pvously o losas ad magosas ma vald o m-vayg lds as wll s s Gal Fom D D s B B J s Mdum : Dl Mdum : Dl D D B B Th sua hag dsy a h bouday Sua u dsy a h bouday s Mdum: Dl Mdum : Coduo D s D J s B B Impls ha h agal ompos a qual magud ad Paalll do Nomal ompos o all lds a alog, h ouwad u vo o mdum Do o J s s oogoal o -
8 y x Id wav y x Tasmd wav y x Rld wav Pag 353 s a kow quay Goal: la o, & No sg No + sg No sg
9 S o hags o us xs a h bouday, h ld o h ld ad asmd wavs wll hav agal ompos oly. y y x x A h bouday =, h agal ompos o l ad mag lds a ouous Pag 353 y x Mdum y x Mdum = = =
10 Rlo Co Tasmsso Co Pag 354
11 Pag 354 Is mpda o spa Rlo Co Tasmsso Co o omag mda / & /
12 Pla Wav k x y y y / & k & / / Tasmsso L j j V V j j I V Z j V V V j I Z Z Z / Z Z & Z ad Z dpd o asmsso-l paams Th pu mpda o a ly log l s qual o s haas mpda Pag 354
13 Sadg-wav ao S max m & S qual Impda mda & & S Rlo Co P Coduo mdum Phas agl o Dsa om h bouday o max mdum lmax k 4 =,, θ< =,,, θ j Dsa om h bouday o m mdum l m = L max +λ /4, l max <λ /4 L max -λ /4, l max λ /4 Pag 355
14 * * av y x S Pag 355 av av av S S S av av av S S S Mdum
15 * * * av y x S Mdum Ths xpssos s applabl wh boh mda a losslss, as wll as wh mdum s odug ad oly mdum s losslss. Fo losslss mda a al. & av S av S Cosvao o gy Pag
16 y x y x / / / j q. 7.66a, P334 q. 7.66b, P334 q. 7.7, P334 j j Pag 357 Gv: & Isd : & j j j
17 Rlo ad Tasmsso o oblqu-d Wllbod va Roj Sll θ θ Rlxo Agl Sll s Law o Rlo θ s s Sll s Law o Rao u u p p
18 Rlo ad Tasmsso o oblqu-d Do o popagao: k,, Agl o Id:,, Wavo: A O, A O & A O
19 Th h agls, θ, θ ad θ a lad by Sll s Law. Tm h wav avl om A o O, O o A ad O o A a qual AO u p OA u p OA u p + AO OA OA OOs OOs OOs = Sll s Law o Rao s s u u p p Pag 359
20 s s p p u u Fo A: Pag 36 Nomag maal / u p / Idx o ao Maal s mo ds ha maal
21 s s Maal s mo ds ha maal Wh θ s 9 dgs, h ospodg d agl s alld h al agl. o s9 s s Cal agl Toal lo I θ > θ Cal agl h d wav s oally ld. Pag 36
22 3 Fb o Claddg ; < Th apa agl θ a s dd as h maxmum valu o θ o whh h odo o oal al lo mas sasd. Wavs a b gudd alog opal bs as log as h lo agls xd h al agl o oal al lo. Codo: 3 Pag 36
23 3 Codo o al lo 3 3 s s / s s os Sll s Law s s / s / s a Apabl agl hal o h apabl o Θ s h omplm o θ 3 3 os s os
24 -Ay ay o lgh wh h apabl o wll popaga dow h o. -Lag umb o ay pahs s alld mods -D mod hav d as m modal dspso -Dsoo o agula pulss ausd by modal dspso opal bs - T oupu sgal s smad ou pa T Pag 36
25 l l max p p l u l l u l m max max m max l Th oal m dlay p l T Numb o pulss ha a b asmd Pag 363 p u l l l / os max
k of the incident wave) will be greater t is too small to satisfy the required kinematics boundary condition, (19)
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