180 likes | 238 Views
Learn about linear, circular, and elliptical polarization in optics, as well as polarization states, Brewster's angle, and the Faraday effect. Explore how light is scattered, reflected, and absorbed. Dive into concepts like double refraction and birefringence in an interactive manner.
E N D
PC20312 Wave Optics Section 2: Polarization
Polarization states linear circular elliptical Image from Wikipedia
Linear and circular polarization http://physics-animations.com/Physics/AVI/ellf.avi
Dipole radiation E Optical E-field… …drives oscillating dipoles in the medium… …which radiate in all directions except parallel to E. http://www-antenna.ee.titech.ac.jp /~hira/hobby/edu/em/dipole2/dipole2.html http://physics.usask.ca/~hirose/ep225/radiation.htm www.harvard.edu/~efortin/thesis/html/EMR_light.shtml
Ei Er Er Ei Et Et Polarization by reflection Click here for a web-based animation of Brewster’s angle • E parallel to plane of incidence • “p-polarised” • Emission amplitude varies with direction of Er • E perpendicular to plane of incidence • “s-polarised” • Emission always max in direction of Er
Brewster’s angle, B P-polarised light Ei Er=0 B ni t nt Et Sir David Brewster 1781-1868
Polarization by scattering Ein vertical no vertical scattering Ein horiz. no horiz. scattering polarised For unpolarised incident light the scattered light is: Completely polarised in vertical horiz directions Partially polarised in intermediate directions partially polarised unpolarised Animation from http://www-antenna.ee.titech.ac.jp/~hira/hobby/edu/em/smalldipole/force.gif
Polarized light in nature Unfiltered image Image seen through polarising filter Image from Wikipedia
Polaroid E-field component aligned with long axis of molecule is absorbed E E cos E sin E cos Polaroid sheet eg aligned PVA molecules PVA structure from http://wwwchem.csustan.edu/CHEM2000/EXP2/bkg.htm
Malus’ Law Etienne-Louis Malus 1775-1812 http://physics-animations.com/Physics/AVI/polariz.avi
Anisotropic Materials Ey Ex Py Px For calcite: Calcite CaCO3 no = 1.658 & ne=1.486 (at =590 nm) Image from Wikipedia
Eo Eo Ee Birefringence Optic Axis z k • Eo perpendicular to k & optic axis • Eeperpendicular to Eo y x
Double Refraction Optic Axis e-ray unpolarised light o-ray For calcite, typical angle between beams ~6 Image from Wikipedia
Polarizing Beamsplitter calcite unpolarised light polarised light e-ray o-ray transparent glue polarised light Optic Axis points towards you Photo from http://www.lightmachinery.com
Waveplates Optic Axis z no>ne : Optic Axis is ‘fast’ ne>no : Optic Axis is ‘slow’ y x d In this diagram, is the optic axis slow or fast? Photo from http://www.lightmachinery.com
The Faraday Effect Image from http://en.wikipedia.org/wiki/Faraday_effect
E P1 P1 45 45 B B P2 P2 Faraday Isolator E