1B24 Waves Optics and Acoustics Lecture 16 of 33 (UCL)

Page 1

! Reflection and transmission paths at a matching layer "$#&%(')# *,+ -/.1032 .54768-:9;2=<?>@-&032 ACBD-E>F032 .HG -&03I@9;2=-E<?< .KJL-/MON Medium 1

Medium 2

Medium 3

1

t12

r12

t12r23 t12r23r21

t12r23t21

t12r23r21r23

t12t23

t12r23r21t23

t12r23r21r23r21

t12r23r21r23t21

t12r23r21r23r21r23 t12r23r21r23r21r23t21

t12r23r21r23r21t23

&P QSRUT3V)W X?Y Z1[SY]\ ^_T1`SabQSc3`dWeV)WgfKWghgaiQdjUk3l QdknmohgjpmqaiQdk3R3[srtj]aiW aiuKmqavjUk3`xw abu3Wym]z c3`dQ|{ aiT3}3W~l mqViW l)u3j Â€ k‚u1W~ViWq\n€ u3Wgkƒabu3W l)W~cKm]VimqabW„ViWgf3W~hgaiQdjUk1lÂ…jUV†aiVbm]k3l)z†QSlil)QdjUk3lsm]ViW }1}3W~only } aijÂ…theRUQS‡]amplitudes Wˆabu3W abj]abm]`darelg‰Šm]shown: c3c1VijUc3V)before Q‹mqaiWˆc3u3them]liW ÂŒÂ?m]hÂŽabjUV)l z T3lÂ?a?Â?‘W Qdk3hg`dT3}1W~}„aij m]hÂŽ{ Note m]that rays are added together account must be taken hgjUT3kpa Œ’jUV“abu3W }3QSl)abm]k3h~W?aiVbm ‡UWg`d`dWg} QdkÂ…abu3W `dofm w]the W~Vg[ change in phase with distance travelled through the media. X(u3WgViWeQSl m]k3jqabu3WgV”€“m w„j]ÂŒLlijU`x‡5QSk3Ryaiu3W •–TKm]VÂ?abW~V@{F€ m ‡UW—zym7abh˜u3QSk3Ryc3V)jUÂ?3`SW~zo‰O€ u3QSh˜u V)W~liT1`Sabl;Qdk abu3W lim]z Wtz†mqabu1W~z†mqabQSh m]`KWš™1c1ViW~l)liQSjUk3l(Â?3T1a QdlLcOWgViuKmqc3l“c3upw›liQSh m]`S`Sw—z jUViW m]c1cOW~m]`dQSk3R3[—œ:Wga~Â?žlv`dj›jUÂ&#x; m7aˆmq`d` abu1W V)WgfKWghgaiQdjUk3l m]k3} abVim]k3l)z†QSliliQSjUk3l?abu3mqavj5hgh~T3V Qdk msabu1ViW~Wš{ÂĄ`dm w]W~V?lÂ?w5lÂ?abWgz_‰¢m]l Qdk ÂŁ3RUT3ViWeX?Y Z1[SY][ X¤j hgjUk3}3Wgk3liW—abu3W—k3jqa˜mqaiQdjUk l)`dQSRUupab`Sw]‰ `SWga;T3l;€ V)QSabWÂĽabu3WtViWÂŽfKW~hÂŽabQdj]ksh~j›WgÂŚ h~QSW~kpa Œ’j]V“mv€ m ‡UW?QSk3h~QS}3W~kpaLŒ’VijUz§z W~}3QST3zDY jUkpabj z W~}3QST3zD¨em]l ŠqÂŞÂ?ÂŤ~\ ÂŹ ÂŞÂ?“­¯Ž ÂŞ ÂŞ:¹° ÂŽ ÂŤÂŤ m]k1} aiu3W h~j›WgÂŚ h~QSW~kpaÂĽÂŒÂ’jUV m €“m ‡UWvRUjUQSk3Reabu3ÂŽ W j]aiu3ÂŽ W~V“€ m w ÂŹ ÂŤiÂŞL­ ÂŽ ÂŤLªŠ¹° ÂŽ ÂŤÂŞ ­!° ÂŹ ÂŞÂ? ² X(u3Wgk,³’liWgW }1Q‹m]RUVim]zy´Â“€;W—h m]k € ÂŽ V)QSaiWˆabÂŽ u3Wej Â‡]W~Vbmq`d`&V)WgfKWghgaiQdjUk hgj5WŽŒ†hgQdWgk–avmql”abu3W l)T3zÂľj]ÂŒtm]`S`Laiu3WÂ…liWgcKm]VimqabWÂ…hgjUkpabViQSÂ?3T1aiQdjUk3lg‰ € u3Qdh˜uCuKm ‡]Woz†m]}3Wyk3j3‰EjUk3Wq‰Ea¥€;j3‰EWgaih][ V)WgabT1Vik abViQSc3l“abu1VijUT3R]uoaiu3W `‹m wUWgV~\ ÂŹ ­ ÂŹ ÂŞÂ?ÂŤ&ÂąCÂśKÂŞÂ?ÂŤ ÂŹ ¥¡Âš¸~šº œÂ›ÂŤiÂŞ ¹ŸœKÂŞÂ?ÂŤ ÂŹ ¥¡Âš¸~š½ºqŠ ÂŤiÂŞ ÂŹ ¥¡Âš¸~š½º7œ›iÂŞ:¹‚²x²S² X?Y Z7{˜Y


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.