连续傍轴近似公式及其多种离散形式  

Continuous paraxial approximation formula and its multiple discrete forms

作　　者：张晓志[1] 谢礼立[1] 

机构地区：[1]中国地震局工程力学研究所

出　　处：《地震工程与工程振动》2004年第5期1-6,共6页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(59895410);黑龙江省自然科学基金项目(E0221)

摘　　要：基于单向波动法向透射的一般运动学模型和局部多项式插值函数,推导建立了连续形和2阶离散形法向透射傍轴近似公式。指出连续形傍轴近似公式具有多种离散形式,本文给出的标准形式、已有的多次透射公式和平面波多项式外推公式都是连续形傍轴近似公式的不同离散形式,因此具有基本相当的精度、稳定性和计算效率以及相同的普适性和局限性。Both continuous paraxial approximation formula and two order discrete paraxial approximation formula are developed for one way wave motion transmitting apparently along normal direction based on kinematics model and local polynomial interpolation function. By academic analyzing, it is concluded that two order discrete paraxial approximation formula of the paper, multiple transmitting formula and polynomial extrapolation formula are the different forms of continuous paraxial approximation formula, so they are with nearly equivalent precision and stability and with equivalent applicability and limitation.

关 键 词：运动学模型 傍轴近似公式 多项式插值 离散形式 

分 类 号：P315.9[天文地球—地震学]