maslov 中文意思是什麼
maslov
解釋
馬斯洛夫-
This thesis discusses maslov ' s method, wavelet transform and their applications to asymptotic evaluation of wave equations in high frequency fields. the method of solving wave equations in caustic domain by symplectic geometrical theory, and the method of simplifying two - dimension wave equations in slowly varying nonhomogeneous medium by wavelet - transform theory are proposed. the caustics phenomena of electromagnetic wave propagation in concave reflector, the singularities of caustics, and the method of computing wave fields in and far away from the caustics in concave reflector are also discussed
本論文探討了maslov方法在波動方程高頻近似中的應用及焦散區的具體求解方法；討論了用小波變換化簡二維非均勻緩變介質條件下的波動方程；本文還討論了凹面反射的焦散現象、凹面反射焦散區的奇性種類，討論了二、三維凹面反射波動場非焦散區、焦散區的計算方法。 -
( 2 ) the symplectic integrator method is applied to the high frequency asymptotic evolution of the wave equation based on maslov symplectic geometrical theory
（ 2 ）將辛演算法運用到基於masiov ?辛幾何理論的求解波動方程的高頻近似方法中。 -
The important parts of this work consist of : 1. the high frequency asymptotic evaluation of wave equations in nonhomogeneous medium by maslov ' s method is systematically studied, and formulations of the high frequency asymptotic evaluation in nonhomogeneous medium which varying only in one direction are constructed
本論文的工作作為國家自然科學基金地震波傳播與成像項目（ no . 40174032 ）的一部分，得到如下結果： （一）論文分析了利用maslov方法求解非均勻介質中波動方程高頻近似解的基本原理和求解過程，構造了介質系數只在一個方向變化時波動方程高頻近似解的通用計算公式。 -
Maslov ' s method can overcome the drawback that the solution in the caustic region cannot be obtained with geometrical optics. the key step of the method is numerical computation of hamiltonian equations, which can be solved by the symplectic algorithm
Maslov理論克服了幾何光學法無法處理焦散現象的缺陷，但應用該理論關鍵的一步是對相空間里hamilton正則方程組的計算，辛演算法的引入使這一問題得以解決。
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