激光束光学系统的变焦理论     

何平安  林银森 《武汉大学学报(信息科学版)》1994,(1)

从高斯光束经过光学系统的传输与变换规律出发，借助于高斯括号的性质，研究了激光束光学系统的变焦特性，导出了机械补偿式激光束变焦系统的变焦方程及补偿点位置方程，并给出了计算实例。  相似文献   

砂土的抗剪强度与干密度的曲线拟合     

龚平玲  邓飞 《矿产与地质》2005,19(2):207-208

利用曲线拟合的最小二乘法原理，确定砂土在某垂直压力下的抗剪强度与干密度的关系，并绘制曲线图，可避免人工处理数据的随意性，减小了误差。  相似文献   

Gaussian beams in inhomogeneous media: A review     

Yu. A. Kravtsov  P. Berczynski 《Studia Geophysica et Geodaetica》2007,51(1):1-36

The paper outlines the most important results of the paraxial complex geometrical optics (CGO) in respect to Gaussian beams diffraction in the smooth inhomogeneous media and discusses interrelations between CGO and other asymptotic methods, which reduce the problem of Gaussian beam diffraction to the solution of ordinary differential equations, namely: (i) Babich’s method, which deals with the abridged parabolic equation and describes diffraction of the Gaussian beams; (ii) complex form of the dynamic ray tracing method, which generalizes paraxial ray approximation on Gaussian beams and (iii) paraxial WKB approximation by Pereverzev, which gives the results, quite close to those of Babich’s method. For Gaussian beams all the methods under consideration lead to the similar ordinary differential equations, which are complex-valued nonlinear Riccati equation and related system of complex-valued linear equations of paraxial ray approximation. It is pointed out that Babich’s method provides diffraction substantiation both for the paraxial CGO and for complex-valued dynamic ray tracing method. It is emphasized also that the latter two methods are conceptually equivalent to each other, operate with the equivalent equations and in fact are twins, though they differ by names. The paper illustrates abilities of the paraxial CGO method by two available analytical solutions: Gaussian beam diffraction in the homogeneous and in the lens-like media, and by the numerical example: Gaussian beam reflection from a plane-layered medium.  相似文献   

The formation of caustics in two‐ and three‐dimensional media     

Jesper Spetzler  Roel Snieder 《Geophysical Journal International》2001,144(1):175-182

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Appreciation of Contributions by Georges Matheron and John Tukey to a Mineral-Resources Research Project     

Agterberg  Frederik P. 《Natural Resources Research》2001,10(4):287-295

Georges Matheron (1930–2000) and John Tukey (1915–2000) were among the most prominent mathematical statisticians of the 20th century. Both men produced numerous important new theoretical and practical results. This personal appreciation of their work concentrates on contributions to mineral-resources research and describes their influence on my work in mineral-resource evaluation studies at the Geological Survey of Canada (1966–1983).  相似文献   

Maximum likelihood environmental calibration and the compute program WACALIB a correction     

H.J.B. Birks 《Journal of Paleolimnology》2001,25(1):111-115

A recently discovered error in the part of the computer program WACALIB that implements maximum likelihood (ML) calibration has been discovered and corrected. The new version of WACALIB has been re-run with all the data-sets from which results based on the earlier version of WACALIB had been published. The new results suggest that ML regression and calibration perform as well or even better than weighted averaging (WA), at least when judged by the apparent root mean squared error. Further work involving cross-validation is required to evaluate more fully the relative performance of WA and ML approaches.  相似文献   

关于吉林地区挖孔桩设计问题的探讨     

李向群  袁铁铮 《吉林大学学报(地球科学版)》2001,31(4):372-375

探讨了在吉林地区高层建筑中有关桩基规范执行及设计施工过程中常见的问题。通过对不同直径的桩端进入持力层深度的对比 ,明确 2d与 4d的对比要求 ,即持力层厚度的保证比进入持力层深度更重要。针对通长配筋“一通到底”的设计给施工带来的不便及浪费提出了新的建议。通过实践给出“α”角的建议值 ,既能减小扩大桩头斜面上受到卸荷后侧土压力 ,又可减少施工时的坍方。最后对降水及护壁提出了结合实际地质情况的 4种方法。  相似文献   

Teacher''s Aide: Modeling Hole-Effect Variograms of Lithology-Indicator Variables   总被引：1，自引：0，他引：1  

Yuan Z. Ma  Thomas A. Jones 《Mathematical Geology》2001,33(5):631-648

Common variogram models, such as spherical or exponential functions, increase monotonically with increasing lag distance. On the other hand, a hole-effect variogram typically exhibits sinusoidal waves that form peaks and troughs, thereby conveying the cyclicity of the underlying phenomenon. In order to incorporate this cyclicity into a stochastic simulation, hole effects in the experimental variogram must be fitted appropriately. In this paper, we recommend use of several multiplicative-composite variogram models to fit hole-effect experimental variograms. These consist of a cosine function to provide wavelength and phase of cyclicity, multiplied by a monotonic model (e.g., spherical) to attenuate amplitudes of the cyclical peaks and troughs. These composite models can successfully fit experimental lithology-indicator variograms that contain a range of cyclicities, although experimental variograms with poor cyclicity require special considerations.  相似文献   

Estimation of Hourly and Daily Global Solar Radiation at Clear Days Using an Approach Based on Modified Version of Gaussian Distribution     

S. M. El shazly 《大气科学进展》1996,13(3):349-358

The performance of two models,Jam and Baig,based on the modified version of Gaussian distribution function in estimating the daily total of global solar radiation and its distribution through the hours of the day from sunrise to sunset al any clear day is evaluated with our own measured data in the period from June 1992 to May 1993 in Qena Egypt The results show a high relative deviation of calculated values from measured ones,especially for Jain model,in the most hours of the day,except for those near to local noon.This misfit behavior is quite obvious in the early morning and late afternoon A new approach has been proposed in this paper to estimate the daily and hourly global solar radiation This model performs with very high accuracy on the recorded data in our region.The validity of this approach was verified with new measurements in some clear days in June and August 1994.The resultant very low relative deviation of the calculated values of global solar radiation from the measured ones confirms the  相似文献   

多面函数拟合在地壳水平运动研究中的应用     

刘权威  孙国学 《山西地震》1996,(4):35-40

多面函数拟合法已被应用于地壳垂直形变模型的分析中。本文利用这一曲面拟合理论研究了地壳水平形变模型，详细推导了相应的公式，为本方法的进一步研究与应用提供了几点启示  相似文献