The partial derivative equations of Zoeppritz equations are established and the derivatives of each matrix entry with respect to wave vectors are derived in this paper.By solving the partial derivative equations we ob...The partial derivative equations of Zoeppritz equations are established and the derivatives of each matrix entry with respect to wave vectors are derived in this paper.By solving the partial derivative equations we obtained the partial derivatives of seismic wave reflection coefficients with respect to wave vectors,and computed the Goos-Hnchen shift for reflected P-and VS-waves.By plotting the curves of Goos-Hnchen shift,we gained some new insight into the lateral shift of seismic reflection wave.The lateral shifts are very large for glancing wave or the wave of the incidence angle near the critical angle,meaning that the seismic wave propagates a long distance along the reflection interface before returning to the first medium.For the reflection waves of incidence angles away from the critical angle,the lateral shift is in the same order of magnitude as the wavelength.The lateral shift varies significantly with different reflection interfaces.For example,the reflected P-wave has a negative shift at the reflection interface between mudstone and sandstone.The reflected VS-wave has a large lateral shift at or near the critical angle.The lateral shift of the reflected VS-wave tends to be zero when the incidence angle approaches 90°.These observations suggest that Goos-Hnchen effect has a great influence on the reflection wave of wide-angles.The correction for the error caused by Goos-Hnchen effect,therefore,should be made before seismic data processing,such as the depth migration and the normal-moveout correction.With the theoretical foundation established in this paper,we can further study the correction of Goos-Hnchen effect for the reflection wave of large incidence angle.展开更多
To get more precise high-speed streak cameras,we analyze a novel optical-deflection accelerating technique for light-beam.When the incident light-beam is deflected with a tiny initial deflection angle,according to the...To get more precise high-speed streak cameras,we analyze a novel optical-deflection accelerating technique for light-beam.When the incident light-beam is deflected with a tiny initial deflection angle,according to the law of curved surface reflection,the reflective light-beam is deflected therewith and the deflection angle is enlarged.The deflecting amplification accelerating device can amplify the small deflecting angle by one to two orders of magnitude through adjust the curvature of the curved-surface.This device dominates the optical information capacity in tubeless streak camera,such as rotating mirror cameras,electro-optic crystal deflector cameras,and other light-beam scanning devices.Because there is no mechanical moving part in the new-developed device,this technique is suitable for cooperating with electro-optical deflection and the Goos-Hnchen displacement.展开更多
基金supported by Funding Project for Academic Human Resources Development in Institutions of Higher Learning(Grant No.PHR201107145)
文摘The partial derivative equations of Zoeppritz equations are established and the derivatives of each matrix entry with respect to wave vectors are derived in this paper.By solving the partial derivative equations we obtained the partial derivatives of seismic wave reflection coefficients with respect to wave vectors,and computed the Goos-Hnchen shift for reflected P-and VS-waves.By plotting the curves of Goos-Hnchen shift,we gained some new insight into the lateral shift of seismic reflection wave.The lateral shifts are very large for glancing wave or the wave of the incidence angle near the critical angle,meaning that the seismic wave propagates a long distance along the reflection interface before returning to the first medium.For the reflection waves of incidence angles away from the critical angle,the lateral shift is in the same order of magnitude as the wavelength.The lateral shift varies significantly with different reflection interfaces.For example,the reflected P-wave has a negative shift at the reflection interface between mudstone and sandstone.The reflected VS-wave has a large lateral shift at or near the critical angle.The lateral shift of the reflected VS-wave tends to be zero when the incidence angle approaches 90°.These observations suggest that Goos-Hnchen effect has a great influence on the reflection wave of wide-angles.The correction for the error caused by Goos-Hnchen effect,therefore,should be made before seismic data processing,such as the depth migration and the normal-moveout correction.With the theoretical foundation established in this paper,we can further study the correction of Goos-Hnchen effect for the reflection wave of large incidence angle.
文摘To get more precise high-speed streak cameras,we analyze a novel optical-deflection accelerating technique for light-beam.When the incident light-beam is deflected with a tiny initial deflection angle,according to the law of curved surface reflection,the reflective light-beam is deflected therewith and the deflection angle is enlarged.The deflecting amplification accelerating device can amplify the small deflecting angle by one to two orders of magnitude through adjust the curvature of the curved-surface.This device dominates the optical information capacity in tubeless streak camera,such as rotating mirror cameras,electro-optic crystal deflector cameras,and other light-beam scanning devices.Because there is no mechanical moving part in the new-developed device,this technique is suitable for cooperating with electro-optical deflection and the Goos-Hnchen displacement.
