An isolated cylindrical void is located inside an incompressible nonlinearelasticmediumwhose constitutive behaviour is governed by a neo-Hookean strain energy function.In-plane hydrostatic pressure is applied in the f...An isolated cylindrical void is located inside an incompressible nonlinearelasticmediumwhose constitutive behaviour is governed by a neo-Hookean strain energy function.In-plane hydrostatic pressure is applied in the far-field so that the void changes its radius and an inhomogeneous region of deformation arises in the vicinity of the void.We consider scattering from the void in the deformed configuration due to an incident field(of small amplitude)generated by a horizontally polarized shear(SH)line source,a distance r0(R0)away from the centre of the void in the deformed(undeformed)configuration.We show that the scattering coefficients of this scattered field are unaffected by the pre-stress(initial deformation).In particular,they depend not on the deformed void radius a or distance r0,but instead on the original void size A and original distance R0.展开更多
Propagation of light through curved graded index optical waveguides supporting an arbitrary high number of modes is investigated.The discussion is restricted to optical wave fields which are well confined within the c...Propagation of light through curved graded index optical waveguides supporting an arbitrary high number of modes is investigated.The discussion is restricted to optical wave fields which are well confined within the core region and losses through radiation are neglected.Using coupled mode theory formalism,two new forms for the propagation kernel for the transverse electric(TE)wave as it travels along a curved two-dimensional waveguide are presented.One form,involving the notion of“bend”modes,is shown to be attractive from a computational point of view as it allows an efficient numerical evaluation of the optical field for sharply bent waveguides.展开更多
文摘An isolated cylindrical void is located inside an incompressible nonlinearelasticmediumwhose constitutive behaviour is governed by a neo-Hookean strain energy function.In-plane hydrostatic pressure is applied in the far-field so that the void changes its radius and an inhomogeneous region of deformation arises in the vicinity of the void.We consider scattering from the void in the deformed configuration due to an incident field(of small amplitude)generated by a horizontally polarized shear(SH)line source,a distance r0(R0)away from the centre of the void in the deformed(undeformed)configuration.We show that the scattering coefficients of this scattered field are unaffected by the pre-stress(initial deformation).In particular,they depend not on the deformed void radius a or distance r0,but instead on the original void size A and original distance R0.
文摘Propagation of light through curved graded index optical waveguides supporting an arbitrary high number of modes is investigated.The discussion is restricted to optical wave fields which are well confined within the core region and losses through radiation are neglected.Using coupled mode theory formalism,two new forms for the propagation kernel for the transverse electric(TE)wave as it travels along a curved two-dimensional waveguide are presented.One form,involving the notion of“bend”modes,is shown to be attractive from a computational point of view as it allows an efficient numerical evaluation of the optical field for sharply bent waveguides.
