Download presentation

Presentation is loading. Please wait.

Published byKatharine Whitfield Modified over 2 years ago

1
white n t Wavelength (nm) R t = 400 nm, n = 1.515, = 0

2
E o Reflection coefficient: Transmission coefficient: for internal: rE o t E o t r ’ E o tt’r’E o tt’r’ 3 E o tt’r’ 5 E o tt’r’ 7 E o for internal: n d Multiple Beam Interference Amplitude of each reflection: tt

3
Modify amplitude and phase for each reflected ray: For N >= 2 Phase lag between reflections: (difference between the first and the rest will be covered by reflection amplitudes r and r’)

4
Total reflected field: factor combine

5
Which converges to:for |x|<1 This makes a geometric series: By the way: Stoke’s Relations

6
…but when using complex notation for fields: …which means… …where * means the complex conjugate ( j -> - j )

7
Use:

8
Double Beam Multiple Beam R t = 500 nm, n = 1.515, = 0 Wavelength (nm) t = 500 nm, n = 1.515, = 0 R

9
Double Beam Multiple Beam Add 50% reflective surfaces! Wavelength (nm) t = 500 nm, n = 1.515, = 0 0 0.2 0.4 0.6 0.8 1 1.2 400450500550600650700 R t = 500 nm, n = 1.515, = 0 R

10
Phasors: Describe amplitude and phase with vector length and direction. A B A+B constructive destructive A B A+B

11
A B A+B Phasors: Describe amplitude and phase with vector length and direction. in between

12
destructive: constructive: /20 off constructive:

13
/20 off destructive destructive R

14
Double Beam Multiple Beam Changing phase, not time

15
R t = 500 nm, n = 1.515, = 600 nm 0 4590 ii Multiple beam interference also causes sharp peaks with angle of incidence:

17
t = 500 nm, n = 1.515, = 0 T

18
Multiple beams interfere constructively and destructively with a much sharper phase dependence than double beam interference since the multiple interfering components dephase at different rates.

Similar presentations

OK

Complex numbers/phasors and amplitudes Student question: since the Re part of a complex field is the physical one, why do we need the full phasor length.

Complex numbers/phasors and amplitudes Student question: since the Re part of a complex field is the physical one, why do we need the full phasor length.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on business plan on restaurant Ppt on renewable energy and environment protection Ppt on shipping corporation of india Latest ppt on global warming Ppt on chapter 12 electricity Job based pay ppt online Ppt on machine translation system Ppt on hydro power station Ppt on water resources class 10 download Ppt on chromosomes and genes