For some anisotropic wave models, the PML (perfectly matched layer) method of open boundaries can become polynomially or exponentially unstable in time. In this work we present a new method of open boundaries, the phase space filter, which is stable for all wave equations. Outgoing waves can be characterized as waves located near the boundary of the computational domain with group velocities po...

A general complex variable approach is presented for anti-plane problem for a system of one anisotropic elliptic inhomogeneity embedded in an infinite anisotropic medium (matrix). The system is subject to far-field shear stresses in the matrix at infinity and eigenstrains inside the inhomogeneity. The solution is derived based on conformal mapping for the complex variable and Laurent series exp...

We extend the differential theory to anisotropic cylindrical structures with arbitrary cross-section. Two cases have to be distinguished. When the anisotropic cylinders do not contain the origin, the scattering matrix of the device is calculated from the extended differential theory with the help of the scattering matrix propagation algorithm. The fields outside the cylinders are described by F...

We present an analytical derivation of a 3D conformal perfectly matched layer (PML's) for mesh termination in general orthogonal curvilinear coordinates. The derivation is based on the analytic continuation to complex space of the normal coordinate to the mesh termination. The resultant elds in the complex space do not obey the Maxwell's equations. However, it is demonstrated that through simpl...

This article investigates the solvability of volume integral equations arising in elastodynamic scattering by penetrable obstacles. The elasticity tensor and mass density are allowed to be smoothly heterogeneous inside the obstacle and may be discontinuous across the background-obstacle interface, the background elastic material being homogeneous. Both materials may be anisotropic, within certa...

The plasmon mode characteristics of metallic nanowire embedded in a uniaxial anisotropic dielectric are investigated theoretically. The hybrid plasmon modes found in this structure are significantly different from the traditional plasmon modes of metallic nanowire in a homogeneous isotropic dielectric. In contrast to the transverse-magnetic-like wave for a traditional fundamental mode, the hybr...

Lung radiotherapy is greatly benefitted when the tumor motion caused by breathing can be modeled. The aim of this paper is to present the importance of using anisotropic and subject-specific tissue elasticity for simulating the airflow inside the lungs. A computational-fluid-dynamics (CFD) based approach is presented to simulate airflow inside a subject-specific deformable lung for modeling lun...

We present an analytical derï ation of a 3-D conformal ( ) perfectly matched layer PML for mesh termination in general orthogonal cur̈ ilinear coordinates. The derï ation is based on the analytic continuation to complex space of the normal coordinate to the mesh termination. The resultant fields in the complex space do not obey Maxwell’s equations. Howe ̈er, it is demonstrated that, through simpl...

bstract. We experimentally demonstrate that backirectional gating in an imaging setup can potentially reove unwanted diffuse light to improve the contrast of an bject embedded in a high anisotropic surrounding meium. In such back-directional gating, the high anisotropic roperty of the surrounding medium can serve as a waveuide to deliver the incident light to the embedded object nd to isolate t...

The hepatic blood circulation is complex, particularly at the microcirculatory level. Previously, 2D liver lobule models using porous media and a 3D model using real sinusoidal geometries have been developed. We extended these models to investigate the role of vascular septa (VS) and anisotropic permeability. The lobule was modelled as a hexagonal prism (with or without VS) and the tissue was t...