  We derive the multi-field, micropolar-type continuum theory for the
two-dimensional model of crystal having finite-size particles. Continuum
theories are usually valid for waves with wavelength much larger than the size
of primitive cell of crystal. By comparison of the dispersion relations, it is
demonstrated that in contrast to the single-field continuum theory constructed
in our previous paper the multi-field generalization is valid not only for long
but also for short waves. We show that the multi-field model can be used to
describe spatially localized short- and long wavelength distortions. Short-wave
external fields of forces and torques can be also naturally taken into account
by the multi-field continuum theory.
