WaveOpt_31 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering ECSE 527 Optical Engineering olarization Polarization Sources: Hecht ‘Optics’ Chapter 8 Andrew Kirk 2010 Polarization 1
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Polarization •T h e electric field vector of a light wave gives it a polarization state • Different polarization states interact with matter in ifferent ways different ways h i s gives us a powerful tool for: – Splitting light – Combining light – Deflecting light – Modulating light •I n this section we will look at polarization principles and plications ©AGK 2010 Polarization 2 applications
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Learning outcomes fter taking this section you should be able to: After taking this section you should be able to: •D e s c r i b e the different polarization states of an EM wave •W r i t e these states down in mathematical notation pply alus law r olari ers Apply Malus’ law for polarizers e s c r i b e some different polarizers and polarizing beam splitters e s c r i b e polarized light at an interface as a p or s state . • Explain the concept of birefringence and dichroism • Explain the operation of a wave plate or retarder •A pply the Stokes parameters and Jones vectors to model polarization pp y p p states and polarizing devices. ©AGK 2010 Polarization 3
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Contents • Definition • Types of polarization: linear, circular, elliptical •P o l a r i z e r s i t i ti l d td • Anisotropic materials and retarders • Mathematical techniques: Jones matrices. ©AGK 2010 Polarization 4
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Application of polarization : CD pick up inear polarization PBS Collimat or Lens Quart er-wave Plat e Disc Linear polarization Laser Diode Diffract ion Grat ing Concave Singlet Object ive Cylindrical hat are the polarization Photodiode Array What are the polarization states in this system ? ©AGK 2010 Polarization 5 y
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Polarization applets http://webphysics.davidson.edu/physlet_resources/dav_opti cs/Examples/polarization.html ttp://www amanogawa com/archive/Polarization/Polarizati http://www.amanogawa.com/archive/Polarization/Polarizati on 2.html ©AGK 2010 Polarization 6
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Review: Linear Polarization ( P state) y y E x E x Horizontal linear polarization Vertical linear polarization z E z E E x ( z , t )= x E 0 x cos kz t E y ( z , t y E 0 y cos kz t + E 0y If =0, ± π , ±2 π result = linear polarization at angle . ©AGK 2010 Polarization 7 E 0x  x y E E Tan 0 0
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Circular polarization •W h e n x and y components have equal magnitude but out f phase by 90 of phase by 90 : •I . e . = 2 2 m =– 2 2 m or E E 0 ˆ x cos kz   t ˆ y cos kz   t For first case: E E 0 ˆ x cos kz   t ˆ y sin kz   t 2 ©AGK 2010 Polarization 8 This is circular polarization
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Circular polarization y y E y x x z E x z E E = 2 2 m E 0x = E 0y =E 0 Left circular (L state) ©AGK 2010 Polarization 9 =– 2 2 m Right circular (R state)
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Calcite crystal in circularly polarized beam
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This note was uploaded on 09/28/2010 for the course ECSE ECSE 527 taught by Professor Kirk during the Winter '10 term at McGill.

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WaveOpt_31 - Department of Electrical and Computer...

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