The boundary-value problem of the interaction of a plane monochromatic shea
r wave with a moving Bloch wall in an iron garnet crystal is solved in the
framework of the nonexchange magnetostatic approximation on the basis of th
e method of phase invariants for wave problems with moving boundaries. For
a shear wave incident on the domain wall, the possibility of the reflection
less birefringence is demonstrated. Numerical results illustrating the reso
nance properties of the magnetic subsystem are presented. It is established
that, at the upper bound of the reflectionless birefringence range, the in
teraction of the shear wave with the domain wall manifests itself as a dege
nerate resonance with the solution in the form of two combined antiphase, c
ollinearly propagating shear waves of infinitely large amplitudes, which fo
rm a zero resulting field. (C) 2001 MAIK "Nauka/Interperiodica".