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High rate line-by-line calculation method and program by forked line type resolution

机译:分叉线型分辨率的高速率逐线计算方法和程序

摘要

The invention offers a calculation method and program capable of performing line-by-line calculations using a Voigt function at speeds of 50-100 times what is conventional. The Voigt function is divided into a first range around the peak and a skirt portion not contained in the first range. The first range is replaced by a cubic function, and the skirt portion is taken as the Voigt function to perform calculations in predetermined ranges of equal intervals. Furthermore, the peak area of the first range is replaced by a cubic function, and the skirt portion is taken as a function representing the difference between the Voigt function and the cubic function to perform calculations in second predetermined intervals smaller than the aforementioned first predetermined intervals. This is repeated until the desired level of precision is reached. Additionally, interpolation is performed by dividing these predetermined intervals into four or five parts.
机译:本发明提供了一种计算方法和程序,其能够使用Voigt函数以传统速度的50-100倍的速度进行逐行计算。 Voigt函数分为围绕峰的第一范围和不包含在第一范围内的裙边部分。将第一范围替换为三次函数,并且将裙部作为​​沃伊特函数,以在相等间隔的预定范围内执行计算。此外,用三次函数代替第一范围的峰面积,并且将裙部作为​​代表Voigt函数和三次函数之差的函数,以小于上述第一预定间隔的第二预定间隔进行计算。 。重复此过程,直到达到所需的精度水平。另外,通过将这些预定间隔划分为四个或五个部分来执行内插。

著录项

  • 公开/公告号US2007097122A1

    专利类型

  • 公开/公告日2007-05-03

    原文格式PDF

  • 申请/专利权人 NOBUYUKI UEMURA;

    申请/专利号US20040573869

  • 发明设计人 NOBUYUKI UEMURA;

    申请日2004-08-26

  • 分类号G06T11/20;

  • 国家 US

  • 入库时间 2022-08-21 21:04:51

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