Time-dependent theory of optical electro- and magnetostriction

Electrostriction, the deformation of dielectric materials under influence an electric field, is continuous interest in optics. The classic experiment by Hakim and Higham [Proc. Phys. Soc. 80, 190 (1962)] for a stationary field supports different formula electrostrictive force density than recent Astrath et al. [Light Sci. Appl. 11, 103 (2022)] optical field. In this work, we study origin difference developing time-dependent covariant theory densities photonic materials. When light pulse propagates bulk dielectric, field-induced consists two parts: (i) wave momentum ${\mathbf{f}}_{\mathrm{owm}}$ carries drives forward mass coupled field-material state light. (ii) optostrictive ${\mathbf{f}}_{\mathrm{ost}}$ arises from atomic dependence magnetic energy densities. It represents Lorentz-force-law-based generalization electro- magnetostrictive well known static electromagnetic fields derived principle virtual work. Since work done not equal to change during contraction material, have describe with optostriction-related dissipation terms fulfill conservation. detailed physical model left further can be understood pair interactions inside material. Because related action reaction effects, cannot contribute net transfer used simulate propagation Gaussian through We calculate Maxwell's equations simultaneously solve Newton's equation motion atoms find how velocity displacement develop as function time density.