Electrodynamics of elastic pyroelectrics

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Abstract
We formulate an ab initio long-wavelength Lagrangian theory of electrodynamics of elastic pyroelectrics. A consistent set of constitutive relations and equations of motion of both the matter and electromagnetic field are derived. The theory applies to pyroelectrics, dielectrics, and piezoelectrics of any symmetry, any degree of anisotropy, any level of structural complexity, and any order of nonlinearity. All long-wavelength modes of mechanical motion of the crystal, which include the center-of-mass motion and an arbitrary number of internal motions, are considered. Discussions of the equations of motion, the conservation laws, the stress tensor, the boundary conditions, and the meaning of the natural state of the crystal are presented. In particular, we show that total angular momentum is conserved even though the properly defined total stress tensor is not symmetric.