In this paper, the inverse problem of the medium parameters in an inhomogeneous medium is studied and a generalized ray approximate form of the total wave field is described. First, the acoustic wave equation derived ...In this paper, the inverse problem of the medium parameters in an inhomogeneous medium is studied and a generalized ray approximate form of the total wave field is described. First, the acoustic wave equation derived from the elastic wave equation is studied, the referential variables and perturbational variables are introduced, and the integral equation of the medium perturbational parameters is obtained. Then from the point of view of the local principles of the wave function in an inhomogeneous medium, a generalized ray approximate form of the total wave field in an inhomogeneous medium is described, and attention is focused on the Fredholm integral equation of the first kind. Finally, the medium parameters in half-plane are inversed. Numerical examples show when the perturbations of the medium parameters are about 0.5, this method can effectively inverse its variation. Apparently, this method is better than the conventional Born weak scattering approximation.展开更多
The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Unde...The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.展开更多
As the fastest integral equation solver to date, the multilevel fast multipole algorithm （MLFMA） has been applied successfully to solve electromagnetic scattering and radiation from 3D electrically large objects. Bu...As the fastest integral equation solver to date, the multilevel fast multipole algorithm （MLFMA） has been applied successfully to solve electromagnetic scattering and radiation from 3D electrically large objects. But for very large-scale problems, the storage and CPU time required in MLFMA are still expensive. Fast 3D electromagnetic scattering and radiation solvers are introduced based on MLFMA. A brief review of MLFMA is first given. Then, four fast methods including higher-order MLFMA （HO-MLFMA）, fast far field approximation combined with adaptive ray propagation MLFMA （FAFFA-ARP-MLFMA）, local MLFMA and parallel MLFMA are introduced. Some typical numerical results demonstrate the efficiency of these fast methods.展开更多
In the present work,nonlinear interaction of elliptical laser beam with collisional plasma is studied by using paraxial ray approximation.Nonlinear differential equations for the beam width parameters of semi-major ax...In the present work,nonlinear interaction of elliptical laser beam with collisional plasma is studied by using paraxial ray approximation.Nonlinear differential equations for the beam width parameters of semi-major axis and semi-minor axis of elliptical laser beam have been set up and solved numerically to study the variation of beam width parameters with normalized distance of propagation.Effects of variation in absorption coefficient and plasma density on the beam width parameters are also analyzed.It is observed from the analysis that extent of self-focusing of beam increases with increase/decrease in plasma density/absorption coefficient.展开更多
Based on the P wave first arrival time data of 275 local earthquakes recorded by Kunming Telemetered Seismic Network from 1982 to 1989, a 3-D velocity structure beneath the network was obtained by the separationmethod...Based on the P wave first arrival time data of 275 local earthquakes recorded by Kunming Telemetered Seismic Network from 1982 to 1989, a 3-D velocity structure beneath the network was obtained by the separationmethod of focal parameter and medium structure parameter and 3-D approximate ray tracing. In view of 'thesituation that the intervals between stations in the network is relatively long, and the local first arrival phasemay be Pn instead of P, so we simulated Pn as the diving wave from the layer beneath Moho and using approximate ray tracing method on the grid model. The final 3-D velocity structure is basically consistent withthe result from the deep seismic sounding and the anomaly inversion of Bouguer gravity. The Dianzhong area(in the vicinity of Dukou and Chuxiong) shows an obvious high velocity zone at depth of 45 km, which canbe interpreted as the uplift of Moho discontinuity. The upper crust in this area displays lower velocity zone,so the uplift of Moho discontinuity is considered as the result of isostatic compensation. The configuration ofvelocity contours indicates that the upper crust and lower crust are complicated, while the middle crust is relatively simple. This feature reveals that Yunnan area belongs to modern tectonically active region. As themain boundary of the major tectonic units in the study area, although there is no obvious evidence about lowvelocity anomaly zone along the Red River Fault, the fault shows up th feature of sturctural divide on themid-lower crustal velocity contours, and it is inferred that the fault passes through the Moho-discontinuity atleast.展开更多
The book entitled A Breviary of Sesimic Tomography:Imaging the Interior of the Earth and Sun appears at a juncture timed to perfection with a divine sanction;for a breviary is meant for the devout.The journey beyond r...The book entitled A Breviary of Sesimic Tomography:Imaging the Interior of the Earth and Sun appears at a juncture timed to perfection with a divine sanction;for a breviary is meant for the devout.The journey beyond ray approximation unveiled in this book presents the exciting interplay of energy radiating into a ray path from the wave front and parts of the wave front.展开更多
In this paper the influences of nonuniform stratification on the propagating paths of internal inertial-gravity and pure gravity wave energy are discussed by using the WKB approximation method.The conditions for conse...In this paper the influences of nonuniform stratification on the propagating paths of internal inertial-gravity and pure gravity wave energy are discussed by using the WKB approximation method.The conditions for conservation of wave energy,generalized wave action and wave enstrophy are obtained.The necessary condition of instability for inter- nal gravity waves and the equation governing the refraction of wave rays are derived.Two types of critical levels are giv- en.Finally,the wave rays for different distributions of stratification are calculated by using the fourth-order Runge-Kutta method.展开更多
The influence of basic horizontal current on the propagation of internal wave in the non-homogeneous ocean is studied in this paper. By means of pseudo-static hypothesis, the basic equation on propagation of internal ...The influence of basic horizontal current on the propagation of internal wave in the non-homogeneous ocean is studied in this paper. By means of pseudo-static hypothesis, the basic equation on propagation of internal wave in the non-homogeneous ocean is derived. By using geometric optics approximation the eikonal equation and transport equation are obtained, at the same time in a sort of fluid field, i. e. M= M(y)i+t-M(x)j, the extended Snell law and analytical solution of the rays are also obtained. The present work is an extension to the ray theory of internal wave in the static ocean.展开更多
文摘In this paper, the inverse problem of the medium parameters in an inhomogeneous medium is studied and a generalized ray approximate form of the total wave field is described. First, the acoustic wave equation derived from the elastic wave equation is studied, the referential variables and perturbational variables are introduced, and the integral equation of the medium perturbational parameters is obtained. Then from the point of view of the local principles of the wave function in an inhomogeneous medium, a generalized ray approximate form of the total wave field in an inhomogeneous medium is described, and attention is focused on the Fredholm integral equation of the first kind. Finally, the medium parameters in half-plane are inversed. Numerical examples show when the perturbations of the medium parameters are about 0.5, this method can effectively inverse its variation. Apparently, this method is better than the conventional Born weak scattering approximation.
基金supported by the National Natural Science Foundation of China (Grant No. 10674099)the National Science Foundation for Young Scientists of China (Grant No. 10925313)the Shandong Provincial Natural Science Foundation,China (GrantNo. ZR2010AQ023)
文摘The post-Newtonian scheme in multiple systems with post-Newtonian parameters presented by Klioner and Soffel is extended to the post-post-Newtonian （PPN） order for light propagation problem in the solar system. Under considering the solar system experiment requirement, a new parameter ε is introduced. This extension does not change the virtue of the scheme on the linear partial differential equations of the potential and vector potential mentioned in previous work. Furthermore, this extension is based on the former work done by Richter and Matzner in one global system theory. As an application, we also consider the deflection of light ray in the global coordinates. And the deflection angle of light ray is obtained with post-Newtonian parameters.
基金the National Natural Science Foundation of China (60431010, 60601008)the New CenturyExcellent Talent Support Plan of China (NCET-05-0805)+2 种基金the International Joint Research Project ("111" Project)(b07048)the"973" Programs 61360(2008CB317110)Young Doctor Displine Platform University of Electronic Science and Technology of China.
文摘As the fastest integral equation solver to date, the multilevel fast multipole algorithm （MLFMA） has been applied successfully to solve electromagnetic scattering and radiation from 3D electrically large objects. But for very large-scale problems, the storage and CPU time required in MLFMA are still expensive. Fast 3D electromagnetic scattering and radiation solvers are introduced based on MLFMA. A brief review of MLFMA is first given. Then, four fast methods including higher-order MLFMA （HO-MLFMA）, fast far field approximation combined with adaptive ray propagation MLFMA （FAFFA-ARP-MLFMA）, local MLFMA and parallel MLFMA are introduced. Some typical numerical results demonstrate the efficiency of these fast methods.
文摘In the present work,nonlinear interaction of elliptical laser beam with collisional plasma is studied by using paraxial ray approximation.Nonlinear differential equations for the beam width parameters of semi-major axis and semi-minor axis of elliptical laser beam have been set up and solved numerically to study the variation of beam width parameters with normalized distance of propagation.Effects of variation in absorption coefficient and plasma density on the beam width parameters are also analyzed.It is observed from the analysis that extent of self-focusing of beam increases with increase/decrease in plasma density/absorption coefficient.
文摘Based on the P wave first arrival time data of 275 local earthquakes recorded by Kunming Telemetered Seismic Network from 1982 to 1989, a 3-D velocity structure beneath the network was obtained by the separationmethod of focal parameter and medium structure parameter and 3-D approximate ray tracing. In view of 'thesituation that the intervals between stations in the network is relatively long, and the local first arrival phasemay be Pn instead of P, so we simulated Pn as the diving wave from the layer beneath Moho and using approximate ray tracing method on the grid model. The final 3-D velocity structure is basically consistent withthe result from the deep seismic sounding and the anomaly inversion of Bouguer gravity. The Dianzhong area(in the vicinity of Dukou and Chuxiong) shows an obvious high velocity zone at depth of 45 km, which canbe interpreted as the uplift of Moho discontinuity. The upper crust in this area displays lower velocity zone,so the uplift of Moho discontinuity is considered as the result of isostatic compensation. The configuration ofvelocity contours indicates that the upper crust and lower crust are complicated, while the middle crust is relatively simple. This feature reveals that Yunnan area belongs to modern tectonically active region. As themain boundary of the major tectonic units in the study area, although there is no obvious evidence about lowvelocity anomaly zone along the Red River Fault, the fault shows up th feature of sturctural divide on themid-lower crustal velocity contours, and it is inferred that the fault passes through the Moho-discontinuity atleast.
文摘The book entitled A Breviary of Sesimic Tomography:Imaging the Interior of the Earth and Sun appears at a juncture timed to perfection with a divine sanction;for a breviary is meant for the devout.The journey beyond ray approximation unveiled in this book presents the exciting interplay of energy radiating into a ray path from the wave front and parts of the wave front.
基金This research is supported by the National Natural Science Foundation of China.
文摘In this paper the influences of nonuniform stratification on the propagating paths of internal inertial-gravity and pure gravity wave energy are discussed by using the WKB approximation method.The conditions for conservation of wave energy,generalized wave action and wave enstrophy are obtained.The necessary condition of instability for inter- nal gravity waves and the equation governing the refraction of wave rays are derived.Two types of critical levels are giv- en.Finally,the wave rays for different distributions of stratification are calculated by using the fourth-order Runge-Kutta method.
基金Project supported by the National Natural Science Foundation of China.
文摘The influence of basic horizontal current on the propagation of internal wave in the non-homogeneous ocean is studied in this paper. By means of pseudo-static hypothesis, the basic equation on propagation of internal wave in the non-homogeneous ocean is derived. By using geometric optics approximation the eikonal equation and transport equation are obtained, at the same time in a sort of fluid field, i. e. M= M(y)i+t-M(x)j, the extended Snell law and analytical solution of the rays are also obtained. The present work is an extension to the ray theory of internal wave in the static ocean.
