Extended Beam Approximation for High-Frequency Wave Propagation
نویسندگان
چکیده
منابع مشابه
Convergence of Frozen Gaussian Approximation for High Frequency Wave Propagation
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, for general linear strictly hyperbolic system, we establish the rigorous convergence result for frozen Gaussian approximation. As a byproduct, higher order frozen Gaussian approximation is developed.
متن کاملFrozen Gaussian Approximation for High Frequency Wave Propagation
We propose the frozen Gaussian approximation for computation of high frequency wave propagation. This method approximates the solution to the wave equation by an integral representation. It provides a highly efficient computational tool based on the asymptotic analysis on phase plane. Compared to geometric optics, it provides a valid solution around caustics. Compared to the Gaussian beam metho...
متن کاملEulerian Gaussian Beam Method for High Frequency Wave Propagation in the Reduced Momentum Space
Eulerian Gaussian beam method is an efficient way to compute high frequency wave propagation, which was originally studied in [S. Leung, J. Qian and R. Burridge, Geophysics, 72 (2007), pp. 61–76]. Later Jin, Wu and Yang developed a new way of computing the Hessian functions from the derivatives of the level set functions in [S. Jin, H. Wu and X. Yang, Commun. Math. Sci., 6 (2008), 995–1020], wh...
متن کاملA wavefront-based Gaussian beam method for computing high frequency wave propagation problems
We present a novel wavefront method based on Gaussian beams for computing high frequency wave propagation problems. Unlike standard geometrical optics, Gaussian beams compute the correct solution of the wave field also at caustics. The method tracks a front of two canonical beams with two particular initial values for width and curvature. In a fast postprocessing step, from the canonical soluti...
متن کاملFrozen Gaussian Approximation for High Frequency Wave Propagation in Periodic Media
Propagation of high-frequency wave in periodic media is a challenging problem due to the existence of multiscale characterized by short wavelength, small lattice constant and large physical domain size. Conventional computational methods lead to extremely expensive costs, especially in high dimensions. In this paper, based on Bloch decomposition and asymptotic analysis in the phase space, we de...
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: IEEE Access
سال: 2018
ISSN: 2169-3536
DOI: 10.1109/access.2018.2849595