贝赛尔函数展开对空间方位失调角测量误差的影响

杨志勇, 周召发, 张志利

杨志勇, 周召发, 张志利. 贝赛尔函数展开对空间方位失调角测量误差的影响[J]. 应用光学, 2012, 33(3): 461-465.
引用本文: 杨志勇, 周召发, 张志利. 贝赛尔函数展开对空间方位失调角测量误差的影响[J]. 应用光学, 2012, 33(3): 461-465.
shu
YANG Zhi-yong, ZHOU Zhao-fa, ZHANG Zhi-li. Influence of Bessel functions expansions on spatial azimuth measurement error[J]. Journal of Applied Optics, 2012, 33(3): 461-465.
Citation: YANG Zhi-yong, ZHOU Zhao-fa, ZHANG Zhi-li. Influence of Bessel functions expansions on spatial azimuth measurement error[J]. Journal of Applied Optics, 2012, 33(3): 461-465.
shu

贝赛尔函数展开对空间方位失调角测量误差的影响

  • 第二炮兵工程学院 兵器发射理论与技术国家重点学科实验室,陕西 西安 710025

详细信息
    通讯作者:

    杨志勇（1983-），男，河北保定人，博士研究生，主要从事导弹武器系统仿真与自动检测的研究。

  • 中图分类号: TH741

Influence of Bessel functions expansions on spatial azimuth measurement error

  • Lab of Armament Launch Theory &Technology,National Key Discipline,Second Artillery Engineering College,Xi-an 710025,China

摘要

    摘要
  • 摘要: 调制偏振光可以作为空间方位信息的载体，实现方位角度信息的测量，在军事、航天、生物医药等领域有广泛的应用前景。文章阐述了基于磁光调制偏振光的方位失调角测量原理，针对原理中贝赛尔函数展开带来的失调角测量误差，详细推导了截取不同项数时失调角的计算公式。仿真结果表明：随着贝赛尔函数展开式截取项数的增加，失调角的测量误差越来越小；截取二倍频信号与三倍频信号的测量误差相当，但符号相反；截取项数高于四倍频信号后，误差基本保持不变。因此利用磁光调制偏振光进行方位失调角测量时，贝赛尔函数展开式截取项数不易超过四倍频信号。
    Abstract: As a medium of spatial azimuthal information, modulated polarized light can be used to measure the azimuthal information. The technique can be widely applied in military, aerospace and biomedicine areas. The principle of measuring azimuth with magneto-optic modulation polarized light was expatiated, the misalignment azimuth measurement error from Bessel functions expansion was analyzed, and the formulae of calculating azimuth under different Bessel functions expansions were deduced in detail. The simulation results showed that with the increase of the items of Bessel functions expansions, the azimuth measurement error became smaller; the measurement error values of the frequency doubling signal and the tripling one were same, but the sign was different; after the items including fourfold frequency signal, the error kept unchanged basically. So when the modulated polarized light was used to measure the azimuth, the items of Bessel functions expansions subter-fourfold frequency signal were better.
    • HTML全文
    • 参考文献(1)
  • ［1］范玲.调制偏振光在光学精密测量和方位信息传递中的应用研究［D］.北京：北京邮电大学博士学位论文,2006.

    FAN Ling. Research on modulated polarized light and its applications for optical measurement and azimuth information transmission［D］.Beijing: The Dissertation of Beijing University of Posts and Telecommunications, 2006. (in Chinese )

    ［2］范玲,宋菲君.调制偏振光及空间正交方位信息传递系统物理模型［J］.物理, 2007,36(5):391-394.

    FAN Ling, SONG Fei-jun. Polarization modulated light and model for an azimuthal information transmission system ［J］. physical, 2007, 36(5):391-394. (in Chinese with an English abstract)

    ［3］范玲,宋菲君.基于调制偏振光的空间正交方位信息传递系统［J］.光学技术,2007, 36(sup):166-168.

    FAN Ling, SONG Fei-jun. Azimuthal information transmitting system based on modulated polarization light ［J］. Optical Technique, 2007, 36(sup):166-168. (in Chinese with an English abstract)

    ［4］董晓娜,高立民.利用磁光调制实现方位角垂直传递［J］.光子学报,2001,30(11):1389-1391.

    DONG Xiao-na, GAO Li-min. Passing azimuth vertically with the technique of magnetooptic modulation［J］. Acta Photonica Sinica, 2001,30(11):1389-1391.(in Chinese with an English abstract)

    ［5］申小军,马彩文.一种无机械连接的方位测量同步系统［J］.光子学报, 2001,30(7):892-896.

    SHEN Xiao-jun, MA Cai-wen. A kind of disconnected mechanically azimuth measuring and synchronizing system［J］. Acta Photonica Sinica, 2001,30(7):892-896. (in Chinese with an English abstract)

    ［6］吴易明,高立民.基于偏振光的精密角度测量及传递技术［J］.红外与激光工程,2008,37(3):525-529.

    WU Yi-ming, GAO Li-min. Precision measurement and transmission of azimuthal information based on polarization modulated light［J］. Infrared and laser Engineering, 2008,37(3):525-529. (in Chinese with an English abstract)

    ［7］申小军.方位垂直传递装置中的信号检测与控制技术研究［D］.西安:中国科学院西安光学精密机械研究所硕士学位论文，2001.

    SHEN Xiao-jun. The research on technique of signal detecting and controlling in a kind of passing azimuth angle vertically system［D］. Xi-an: The Dissertation of Xi-an Institute of optics and Precision Mechanics of Chinese Academy of Sciences, 2001. (in Chinese )

    ［8］郑宏志,马彩文.无机械连接方位角测量系统中磁光调制的温度适应性研究［J］.光子学报，2004,33(5):638-640.

    ZHENG Hong-zhi, MA Cai-wen. Temperature adaptability of magnetooptic modulation in a disconnect mechanically azimuth measurement［J］. Acta Photonica Sinica,2004,33(5):638-640. (in Chinese with an English abstract)

    ［9］董晓娜.方位垂直传递技术的研究［D］.西安：中国科学院西安光学精密机械研究所硕士学位论文,2001.

    DONG Xiao-na. The research on technique of passing azimuth angle vertically［D］. Xi-an:The Dissertation of Xi-an Institute of optics and Precision Mechanics of Chinese Academy of Sciences, 2001. (in Chinese)

    ［10］刘式适,刘式达.特殊函数［M］.北京:气象出版社,2002.

    LIU Shi-shi,LIU Shida. Especial function［M］. Beijing: Weather publishing company, 2002. (in Chinese)
    • 相关文章
    • 施引文献
    • 资源附件(0)
计量
  • 文章访问数:  3380
  • HTML全文浏览量:  116
  • PDF下载量:  491
  • 被引次数: 0
出版历程
  • 刊出日期:  2012-05-14

目录

摘要
HTML全文
    参考文献(1)
    相关文章
    施引文献
    资源附件(0)

    /

    返回文章
    返回

    相关数据库

    广告合作

    友情链接

    帮助中心

    扫描关注本刊微信平台

    您是第  2915501位访问者，欢迎！

    地址: 西安市电子三路西段9号 邮政编码: 710065 联系电话: 029-88288172

    版权所有 © 《应用光学》编辑部

    陕公网安备 61011302001501号       陕ICP备19002862号-1

    北京仁和汇智信息技术有限公司 开发  技术支持: info@rhhz.net   百度统计