A solid-state reference cavity is a crystal of refractive index and length mm

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Interference and diffraction · Interference and diffraction

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Problem

A solid-state reference cavity is a crystal of refractive index

n=1.50

and length

d=15.0

mm, with identical, lossless mirrors of power reflectance

\mathcal{R}=0.995

on its two end faces. It is probed with light of vacuum wavelength

\lambda_0=1064

nm. ((a)) The amplitude impulse response of the cavity (field in, field out) is a train of pulses spaced by the round-trip time

T

, the

m

th weighted by

t_1t_2(r_1r_2)^m

. Give the numerical values of

T

, of the amplitude ratio

r_1r_2

between successive pulses, and of the weight

t_1t_2

of the first pulse. ((b)) Hence give the free spectral range, the finesse, the linewidth (FWHM in frequency), the photon lifetime

\tau_p

, and the quality factor

Q

of the cavity.