Title: Optical and Dielectric Properties
1Optical and Dielectric Properties
2(No Transcript)
3Maxwells Equations
4Wave Equation
5Wave equation - meaning
6Harmonic waves
7Wave equation for harmonic waves
Phase velocity
8Impedance
Force exerted by EM field on electron
9Power of EM waves
10Poynting Vector
Net Power in
Power Density (irradiance)
11Power of harmonic waves
12Average Power of EM waves
13Average Power of EM waves
14Reflection and Refraction
15eix- erx cos?i etxcos?t
16rS 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
17rP 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
18Invoke Snells law n1sin?i n2sin?t
Brewster angle ?t ?i?/2
19Consider normal incidence
Rr2, T1-R
20n11, n21. 45
21Total Internal Reflection
critical angle
22Total Internal Reflection
23Fields in TIR
Pointing vector in TIR
Energy moves along the boundary
24Fresnel Equations for TIR
?t?
25n11.45, n21.
Total internal reflection (n1/n2) sin?C1