计算机与数字工程2017，Vol.45Issue(3)：430-433,443,5.DOI:10.3969/j.issn.1672-9722.2017.03.005
超低频场强勒让德函数的导数表达式对比分析
Comparative Analysis of Ultra-low Frequency Atmospheric Field Legendre Function Derivative Expressions
盖明明 1温东 1郗海龙 2楚涓1
作者信息
- 1. 海军潜艇学院 青岛 266199
- 2. 北海舰队参谋部 青岛 266000
- 折叠
摘要
Abstract
Ultra-low frequency communication atmosphere field strength calculation includes the first kind of Legendre function to the first derivative of the distance or contains the second derivative, the two derivative can be expressed as an infinite series, but infinite series calculation is under the control of the digits limit of the computer, so series computing can`t be used in high-end of ultra-low frequency.In addition, there are several approximation formula.But the approximate formula of applicable range and precision are unclear.So infinite series formulas and the approximate formula of three common are programmed and calculated by soft ware based on Matlab, comparing each other, the applicable condition and precision difference formula is determined.关键词
超低频/大气场强/勒让德函数对距离的一阶导数/勒让德函数对距离的二阶导数Key words
ultra-low frequency/atmospheric field strength/Legendre function to the first derivative of the distance/Legendre function to the second derivative of the distance分类
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盖明明,温东,郗海龙,楚涓..超低频场强勒让德函数的导数表达式对比分析[J].计算机与数字工程,2017,45(3):430-433,443,5.
