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Optical and Dielectric Properties

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1. Optical and Dielectric Properties. 2. 3. Maxwell's Equations ... vp. Phase velocity. 8. Impedance. Force exerted by EM field on electron. By. Ex. kz. v. Fm ... – PowerPoint PPT presentation

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Title: Optical and Dielectric Properties


1
Optical and Dielectric Properties
2
(No Transcript)
3
Maxwells Equations
4
Wave Equation
5
Wave equation - meaning
6
Harmonic waves
7
Wave equation for harmonic waves
Phase velocity
8
Impedance
Force exerted by EM field on electron
9
Power of EM waves
10
Poynting Vector
Net Power in
Power Density (irradiance)
11
Power of harmonic waves
12
Average Power of EM waves
13
Average Power of EM waves
14
Reflection and Refraction
15
eix- erx cos?i etxcos?t
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rS ES,r / ES,i tS ES,t / ES,i
ES,i ES,r ES,t n1?0-1cos?i ES,I- n1?0-1cos?i
ES,r n2?0-1cos?t ES,t
1rStS 1- rS tS?1S /?2S
17
rP EP,r / EP,i tP EP,t / EP,i
EP,i cos?i - EP,r cos?i EP,t cos?t n1?0-1EP,i
n1?0-1 EP,r n2?0-1EP,t
? n2/?0 cos?t cos?i EP,i ?1/ cos?i EP,i
(1-rP)/?2P tPn2/?0cos?i (1rP)/?1P
tPn2/?0cos?i
18
Invoke Snells law n1sin?i n2sin?t
Brewster angle ?t ?i?/2
19
Consider normal incidence
Rr2, T1-R
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n11, n21. 45
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Total Internal Reflection
critical angle
22
Total Internal Reflection
23
Fields in TIR
Pointing vector in TIR
Energy moves along the boundary
24
Fresnel Equations for TIR
?t?
25
n11.45, n21.
Total internal reflection (n1/n2) sin?C1
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