WaveOpt_3 - 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 • The electric field vector of a light-wave gives it a polarization state • Different polarization states interact with matter in ifferent ways different ways • This gives us a powerful tool for: – Splitting light – Combining light – Deflecting light – Sensing light • In this section we will look at polarization principles nd applications ©AGK 2010 Polarization 2 and 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: Describe the different polarization states of an EM wave Write these states down in mathematical notation pply r olarizers Apply Malus’ law for polarizers Describe some different polarizers and polarizing beam-splitters Describe 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 pply the k rm r nd n v model pp y t eS to espaa etesadJo es ecto sto ode polarization states and polarizing devices. ©AGK 2010 Polarization 3
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Contents • Definition • Types of polarization: linear, circular, elliptical • Polarizers Anisotropic materials and retarders • Mathematical techniques: Jones matrices. ©AGK 2010 Polarization 4
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Application of polarization : CD pick Application of polarization : CD pick-up up inear polarization PBS Collimat or Lens Quart er-wave Plat e Disc Linear polarization Laser Diode Diffract ion Gr at ing Concave Singlet Object ive Cylindrical 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_ optics/Examples/polarization.html ttp://www amanogawa com/archive/Polarization/Polari http://www.amanogawa.com/archive/Polarization/Polari zation-2.html ©AGK 2010 Polarization 6
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Review: Linear Polarization ( Review: Linear Polarization (P-state) 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 • When x and y components have equal magnitude but ut of phase by 90° out 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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WaveOpt_3 - Department of Electrical and Computer...

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