Transcription of Fabry-Perot interferometers
{{id}} {{{paragraph}}}
Example: stock market
Fabry-Perot interferometers
1 MIT Optics10/24/05 wk8-a-1 Today s summary Multiple beam interferometers : Fabry-Perot resonators Stokes relationships Transmission and reflection coefficients for a dielectric slab Optical resonance Principles of lasers Coherence: spatial / temporalMIT Optics10/24/05 wk8-a-2 Fabry-Perot interferometers2 MIT Optics10/24/05 wk8-a-3 Relation between r, r and t, t aaratair glassa a r a t 12= + = ttrrrProof: algebraic from the Fresnel coefficientsor using the property of preservation of thepreservation of thefield properties upon time reversalfield properties upon time reversalglass airStokes relationshipsMIT Optics10/24/05 wk8-a-4 Proof using time reversalaaratair glassatt aratair glassatr artar2()()10 22= + = + = = +ttrattrarrtrra 3 MIT Optics10/24/05 wk8-a-5 Fabry-Perot InterferometerLincidentreflectedtransmit tedResonancecondition: reflected wave = 0 all reflected waves interfere destructivelynmL2 =wavelength in free spacerefractive indexMIT Optics10/24/05 wk8-a-6 Calculation of the reflected waveincoming areflected artransmitted atei reflected atei2 r transmitted atei t reflected atei3 (r )2transmitted atei2 r t reflected atei4 (r )3transmitted atei3 (r t )2reflected atei5 (r )4transmitted atei4 (r )3t air, n=1glass, nair, n=1 nL2=4 MIT Optics10/24/05 wk8-a-7 Calculation of the reflected wave(){} +=+ + + += 22244222reflectede11e
spatial incoherence temporal incoherence point source matched paths poly-chromatic light (=multi-color, broadband) mono-chromatic light (= single color, narrowband) MIT 2.71/2.710 Optics 10/24/05 wk8-a-42 Two types of incoherence d1 d2 r1 r1 r2 spatial incoherence temporal incoherence point source matched paths waves from unequal paths do not ...
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: