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Fabry-Perot interferometers

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1MIT Optics10/24/05 wk8-a-1Today 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-2Fabry-Perot interferometers2MIT Optics10/24/05 wk8-a-3Relation 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-4Proof using time reversalaaratair glassatt aratair glassatr artar2()()10 22= + = + = = +ttrattrarrtrra 3MIT Optics10/24/05 wk8-a-5Fabry-Perot InterferometerLincidentreflectedtransmit tedResonancecondition: reflected wave = 0 all reflect

Types of lasers • Continuous wave (cw) • Pulsed – Q-switched – mode-locked • Gas (Ar-ion, HeNe, CO2) • Solid state (Ruby, Nd:YAG, Ti:Sa) • Diode (semiconductor) • Vertical cavity surface-emitting lasers –VCSEL– (also sc) • Excimer (usually ultra-violet) MIT 2.71/2.710 Optics 10/24/05 wk8-a-40 CW (continuous wave lasers) 1/ν t

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