A Zeeman-split laser line near nm consists of two components separated in frequency by GHz

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Interference and diffraction · Interference and diffraction

Optics and Photonics, Ch Multiple-beam interference: thin films, multilayers and the Fabry-Perot etalon

Problem

A Zeeman-split laser line near λ=632.8\lambda = 632.8 nm consists of two components separated in frequency by Δν=5.0\Delta\nu = 5.0 GHz. A pair of flat, parallel, lossless mirrors of power reflectance R=0.92\mathcal{R} = 0.92 is available, and may be set facing each other in air (n=1n=1) at any spacing dd, forming a Fabry-Perot etalon at normal incidence. (a) Choose a spacing dd so that the etalon's half-width Δν1/2\Delta\nu_{1/2} is one quarter of the line separation, a comfortable margin for telling the two components apart. (b) Check that the two components lie well within a single free spectral range, so that neighbouring orders are not confused. (c) State the resulting free spectral range, linewidth, interference order and resolving power at 632.8 nm.

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