ECEN 5645 Class Meeting 7. Absorption/ Scattering

Transkrypt

1 ECEN 5645 Class Meeting 7 Absorption/ Scattering

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5 Index

6 <latexit sha1_base64="wo42aaghyxwlzwdkni5kqicdd9c=">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</latexit> <latexit sha1_base64="wo42aaghyxwlzwdkni5kqicdd9c=">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</latexit> <latexit 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sha1_base64="wo42aaghyxwlzwdkni5kqicdd9c=">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</latexit> <latexit sha1_base64="foe9dolekxo77xr8lgyf43ni8ek=">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</latexit> <latexit sha1_base64="foe9dolekxo77xr8lgyf43ni8ek=">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</latexit> <latexit sha1_base64="foe9dolekxo77xr8lgyf43ni8ek=">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</latexit> <latexit sha1_base64="foe9dolekxo77xr8lgyf43ni8ek=">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</latexit> <latexit sha1_base64="frt+tjzsjkrg2tkpecguncyxdde=">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</latexit> <latexit sha1_base64="frt+tjzsjkrg2tkpecguncyxdde=">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</latexit> <latexit sha1_base64="frt+tjzsjkrg2tkpecguncyxdde=">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</latexit> <latexit sha1_base64="frt+tjzsjkrg2tkpecguncyxdde=">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</latexit> s Index n( )= 1+2N ( )/3 1 N ( )/3 n( )=n r ( )+in i ( ) ( )= r ( )+i ( )

7 Resonance

8 <latexit sha1_base64="sbtozpq81l88wfypfkbq3+gmumw=">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</latexit> <latexit sha1_base64="sbtozpq81l88wfypfkbq3+gmumw=">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</latexit> <latexit sha1_base64="sbtozpq81l88wfypfkbq3+gmumw=">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</latexit> <latexit sha1_base64="sbtozpq81l88wfypfkbq3+gmumw=">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</latexit> Polarizability ( )=!2 0! 2 + i! (! 2 0! 2 ) 2 + 2! 2

9 <latexit sha1_base64="hhopzhbt3vzcwjsy/vllh6odq4a=">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</latexit> <latexit sha1_base64="hhopzhbt3vzcwjsy/vllh6odq4a=">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</latexit> <latexit sha1_base64="hhopzhbt3vzcwjsy/vllh6odq4a=">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</latexit> <latexit sha1_base64="hhopzhbt3vzcwjsy/vllh6odq4a=">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</latexit> Drude n( )= p r + i i ( )

10 <latexit sha1_base64="jbgahdrur2irrebdti9rwl4oudq=">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</latexit> <latexit sha1_base64="jbgahdrur2irrebdti9rwl4oudq=">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</latexit> <latexit sha1_base64="jbgahdrur2irrebdti9rwl4oudq=">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</latexit> <latexit sha1_base64="jbgahdrur2irrebdti9rwl4oudq=">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</latexit> Fresnel ñ( ) 1

11 <latexit sha1_base64="1znrvp6mdsu00r6iucglq44jarc=">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</latexit> <latexit sha1_base64="1znrvp6mdsu00r6iucglq44jarc=">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</latexit> <latexit sha1_base64="1znrvp6mdsu00r6iucglq44jarc=">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</latexit> <latexit sha1_base64="1znrvp6mdsu00r6iucglq44jarc=">aaacvnicdvhrsimxfm2murp1xud93jdgevzfmhg09ueq9mwfxawrqqcmdzj3ajctgzomuib+pl7op/iybfrr2l30qodknhtvkpoklmlymhzy/ln5hu+ls58by19wvq4ga+sxpqg0xy4vzkgvejaohckufvbivakr8ktizxlzy+xf3qe2oldndlhip4ebepngyj0ub3mu4ecogm8vaa3dnvfdb0fsdujh+3guaea121pxm7gnvcz+7ky12511d2fdusnclc7mjonm2do6bdn2rb3pspbbhdiehcpa4qrnmsvzhnxhacgrhjxleozpsbc0/rq0fvyim18zlihfwab7jiri0ftrsswjuuwulgafdktzolfno2rijrnmiavmwv6b/72x+j7xq2zw6ddclzvfxv8oyipjbuhhgdnuaorwdh0brow7k+xx4kk07icalotxl9kpycv+i4ut9mu/exi6jwojfcobzjsw0iyn5cc5i13cyqn59nxvznv0fvsl/ujlqe9nezbip/cdp9mjtaq=</latexit> <latexit sha1_base64="51zve3kpdjmm5ui2jupevygigva=">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</latexit> <latexit sha1_base64="51zve3kpdjmm5ui2jupevygigva=">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</latexit> <latexit sha1_base64="51zve3kpdjmm5ui2jupevygigva=">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</latexit> <latexit sha1_base64="51zve3kpdjmm5ui2jupevygigva=">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</latexit> Cannot AR Coat r( )= 1 n r( ) in i ( ) 1+n r ( )+in i ( I r ( )= r( ) 2

12 Dipole Scattering