In superfluid He-3-B, the off-resonant coupling of the J = 2(-), M = +/- 1
order parameter collective modes to transverse current excitations stabiliz
es propagating transverse waves with low damping for frequencies above that
of the J = 2(-) modes. Right- (RCP) and left circularly polarized (LCP) tr
ansverse modes are degenerate in zero field; however, a magnetic field with
H parallel to q lifts this degeneracy giving rise to the acoustic analog o
f circular birefringence and an acoustic Faraday effect for linearly polari
zed transverse sound waves (Moores and Sauls, J. Low Temp. Phys. 91 (1993)
13). We present theoretical results for the temperature, pressure and field
dependence of the Faraday rotation angle, and compare the theory with rece
nt measurements (Lee ct al., Nature 400 (1999) 431). The analysis provides
a direct measurement of the Lande g-factor for the J = 2(-) modes, and new
information on the magnitude of f-wave pairing correlations in He-3-B. (C)
2000 Elsevier Science B.V. All rights reserved.