A novel higher order entire-domain finite element technique is presented for accurate and efficient fullwave three-dimensional analysis of electromagnetic structures with continuously inhomogeneous material regions, using large (up to about two wavelengths on a side) generalized curved hierarchical curl-conforming hexahedral vector finite elements (of arbitrary geometrical and fieldapproximatio...

We present a new linear sampling method for determining the shape of scattering objects imbedded in a known inhomogeneous medium from a knowledge of the scattered electromagnetic field due to a point source incident field at fixed frequency. The method does not require any a prior information on the physical properties of the scattering object and, under some restrictions, avoids the need to co...

We consider the inverse scattering problem of determining the support of an anisotropic inhomogeneous medium from a knowledge of the incident and scattered time harmonic acoustic wave at 1xed frequency. To this end, we extend the linear sampling method from the isotropic case to the case of anisotropic medium. In the case when the coe6cients are real we also show that the set of transmission ei...

We show that the propagation of light in a Doppler broadened medium can be slowed down considerably eventhough such medium exhibits very flat dispersion. The slowing down is achieved by the application of a saturating counter propagating beam that produces a hole in the inhomogeneous line shape. In atomic vapors, we calculate group indices of the order of 10. The calculations include all cohere...

Ž . We investigate the possibility of forming spatiotemporal solitons optical bullets in inhomogeneous, dispersive nonlinear media using a graded-index Kerr medium as an example. We use a variational approach to solve the multidimensional, inhomogeneous, nonlinear Schrodinger equation and show that spatiotemporal solitons can be stabilized under certain ̈ conditions. We verify their existence by...

We propose and demonstrate a global and efficient approach for scalar and vectorial beam shaping based on the interaction of circularly polarized light with a single piece of homogeneous anisotropic medium. The main idea is to mimic the behavior of a two-dimensional inhomogeneous birefringent medium with a radial distribution of its optical axis. This is done by transforming an incident Gaussia...

Wave propagation in complex inhomogeneous, quasi-layered, 3D media is addressed using multires-olution analysis (MRA). The complexity is characterized by a fast, nely structured, variation of the system heterogeneity in the vertical (stratiication) direction, and a slow horizontal variation of the system heterogene-ity and/or the vertical boundaries (\fast" and \slow" here are relative to the w...

An inhomogeneous wave equation is derived describing propagation and scattering of ultrasound in an inhomogeneous medium. The scattering term is a function of density and propagation velocity perturbations. The integral solution to the wave equation is combined with a general description of the field from typical transducers used in clinical ultrasound to yield a model for the received pulse-ec...

fundamental quantities in nature, underlies many of the basic properties of the universe. The velocity of a pulse of light propagating in any medium (homogeneous or inhomogeneous) is determined by the group index ng , a magnitude which should not be confused with the refractive index of the medium. The group velocity, given by vg=c /ng , where c is the speed of light in vacuum, is determined no...

We obtain a canonical form of a quadratic Hamiltonian for linear waves in a weakly inhomogeneous medium. This is achieved by using the WKB representation of wave packets. The canonical form of the Hamiltonian is obtained via the series of canonical Bogolyubov-type and near-identical transformations. Various examples of the application illustrating the main features of our approach are presented...