Gaussian beams in two-dimensional elastic inhomogeneous media
نویسندگان
چکیده
منابع مشابه
Gaussian light beams in inhomogeneous media.
Vector wave solutions are obtained for the propagation of beams of light in media having slow spatial variations of the gain, loss, or index of refraction. The formalism developed here is applicable to a wide range of problems, and an exa mple considered in detail is the propagation of off-axis beams in lenslike laser materials and optical waveguides. A procedure is also described for the diagn...
متن کاملMicrostructure Evolution in Three-Dimensional Inhomogeneous Elastic Media
VOLUME 34A, JULY 2003—1421 XIAOFAN LI is with the Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616. JOHN LOWENGRUB, formerly with the School of Mathematics, University of Minnesota, Minneapolis, MN 55455 is now with the Department of Math, University of California at Irvine, Irvine, CA 92697. Contact e-mail: [email protected] QING NIE is with the Depart...
متن کاملElastic Gaussian Wave Packets in Isotropic Media
The theory of Gaussian wave packet (GWP) propagation in elastic materials is developed. The GWP solutions are in the form of localized disturbances with Gaussian spatial envelopes at any instant in time. The method is explicitly time dependent, but is conceptually no more difficult than time halmonic ray theory. The equations of propagation and evolution are very similar to those of standard, e...
متن کاملA Tale of Two Beams: Gaussian Beams and Bessel Beams
An overview is given of two types of focused beams, Gaussian beams and Bessel beams. First I describe some of the basic properties of Gaussian beams in homogeneous media which stay collimated over a certain distance range after which they diverge. Bessel beams are then described which are among a class of solutions to the wave equation that are diffraction-free and do not diverge when they prop...
متن کاملSelf-similar evolution of a precipitate in inhomogeneous elastic media
In this paper, we present linear theory and nonlinear simulations to study the self-similar growth and shrinkage of a precipitate in a 2D elastic media. This work is motivated by a series of studies by Li et al., where the existence and morphological stability of self-similarly evolving crystals were demonstrated in a diffusional field. Here, we extend the theory and simulations to account for ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 1983
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.1983.tb03793.x