An optical-feedback semiconductor laser Michelson interferometer (OSMI) is
presented for measuring microscopic linear displacements without ambiguity
in the direction of motion. The two waves from the interferometer arms, one
from the reference mirror and the other from the reflecting moving target,
are fed back into the lasing medium (lambda = 830 nm), causing variations
in the laser output power. We model the OSMI into an equivalent Fabry-Perot
resonator and derive the dependence of the output power (and the junction
voltage) on the path difference between the two interferometer arms. Numeri
cal and experimental results consistently show that the laser output power
varies periodically (period, lambda /2) with path difference. The output po
wer variation exhibits an asymmetric behavior with the direction of motion,
which is used to measure, at subwavelength resolution, the displacement ve
ctor (both amplitude and direction) of the moving sample. Two samples are c
onsidered in the experiments: (i) a piezoelectric transducer and (ii) an au
dio speaker. (C) 2001 Optical Society of America.