Green’s Function for an Infinite Anisotropic Medium. Review
نویسندگان
چکیده
A review of basic papers related to development and implementation of rather efficient mathematical methods aimed at formation of Green’s functions for various types of anisotropic media: uniaxial and biaxial, generalized gyrotropic, layered etc. is provided. Advantages and drawbacks of the methods aimed at both the analytical results and the possibility of numeric or asymptotic estimates of the sought functions are highlighted. The outlook for using them while solving practical problems of current importance are determined.
منابع مشابه
Dispersion of Torsional Surface Wave in a Pre-Stressed Heterogeneous Layer Sandwiched Between Anisotropic Porous Half-Spaces Under Gravity
The study of surface waves in a layered media has their viable application in geophysical prospecting. This paper presents an analytical study on the dispersion of torsional surface wave in a pre-stressed heterogeneous layer sandwiched between a pre-stressed anisotropic porous semi-infinite medium and gravitating anisotropic porous half-space. The non-homogeneity within the intermediate layer a...
متن کاملComment on “Green’s function theory for infinite and semi-infinite particle chains”
In this Comment, we argue that the criticism of our previous paper, which was recently articulated by Hadad and Steinberg, is unwarranted. Comments Markel, V. A. & Sarychev, A. K. (2012). Comment on “Green’s function theory for infinite and semi-infinite particle chains”. Physical Review B 86(1), 037401. doi: 10.1103/PhysRevB.86.037401 ©2012 American Physical Society This journal article is ava...
متن کاملThree-Dimensional Green’s Functions in an Anisotropic Half-Space With General Boundary Conditions
This paper derives, for the first time, the complete set of three-dimensional Green’s functions (displacements, stresses, and derivatives of displacements and stresses with respect to the source point), or the generalized Mindlin solutions, in an anisotropic half-space ~z.0! with general boundary conditions on the flat surface z50. Applying the Mindlin’s superposition method, the half-space Gre...
متن کاملDyadic Green’s Functions for a Parallel Plate Waveguide Filled with Anisotropic Uniaxial Media
The dyadic Green’s functions for magnetic and electric currents immersed in a parallel plate waveguide (PPWG) filled with dielectric-magnetic anisotropic uniaxial media are developed via a field-based approach. First, the principal Green’s function is derived from the forced wave equation for currents immersed in an unbounded uniaxial media. Next, the scattered Green’s function is developed fro...
متن کاملCalculation of the Electroelastic Green’s Function of the Hexagonal Infinite Medium
The electroelastic 4 × 4 Green’s function of a piezoelectric hexagonal (transversely isotropic) infinitely extended medium is calculated explicitely in closed compact form (eqs. (73) ff. and (88) ff., respectively) by using residue calculation. The results can also be derived from Fredholm’s method [2]. In the case of vanishing piezoelectric coupling the derived Green’s function coincides with ...
متن کامل