Quaternion representation of reflection and refraction laws

Gui Min Chen; Wen Chao Song; Jian Yuan Jia

Quaternion representation of reflection and refraction laws

Gui Min Chen
, Wen Chao Song
, Jian Yuan Jia

Xidian University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

After discussing the definition, the basic operations, the representation of Rodrigues-Hamilton parameters and transform operator of quaternion, standard quaternion is defined in this paper. Based on the standard quaternion, the transform operators of refraction and reflection laws are deduced, and the corresponding computation equations are provided. This work established the basic theories for the spatial light-beam propagation computation of complex optical systems and misaligned systems.

源语言	英语
页（从-至）	141-144
页数	4
期刊	Guangdian Gongcheng/Opto-Electronic Engineering
卷	33
期	3
出版状态	已出版 - 3月 2006
已对外发布	是

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引用此

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title = "Quaternion representation of reflection and refraction laws",

abstract = "After discussing the definition, the basic operations, the representation of Rodrigues-Hamilton parameters and transform operator of quaternion, standard quaternion is defined in this paper. Based on the standard quaternion, the transform operators of refraction and reflection laws are deduced, and the corresponding computation equations are provided. This work established the basic theories for the spatial light-beam propagation computation of complex optical systems and misaligned systems.",

keywords = "Quaternion, Rays-tracing, Reflection law, Refraction law, Rodrigues-Hamilton parameters",

author = "Chen, \{Gui Min\} and Song, \{Wen Chao\} and Jia, \{Jian Yuan\}",

year = "2006",

month = mar,

language = "英语",

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T1 - Quaternion representation of reflection and refraction laws

AU - Chen, Gui Min

AU - Song, Wen Chao

AU - Jia, Jian Yuan

PY - 2006/3

Y1 - 2006/3

N2 - After discussing the definition, the basic operations, the representation of Rodrigues-Hamilton parameters and transform operator of quaternion, standard quaternion is defined in this paper. Based on the standard quaternion, the transform operators of refraction and reflection laws are deduced, and the corresponding computation equations are provided. This work established the basic theories for the spatial light-beam propagation computation of complex optical systems and misaligned systems.

AB - After discussing the definition, the basic operations, the representation of Rodrigues-Hamilton parameters and transform operator of quaternion, standard quaternion is defined in this paper. Based on the standard quaternion, the transform operators of refraction and reflection laws are deduced, and the corresponding computation equations are provided. This work established the basic theories for the spatial light-beam propagation computation of complex optical systems and misaligned systems.

KW - Quaternion

KW - Rays-tracing

KW - Reflection law

KW - Refraction law

KW - Rodrigues-Hamilton parameters

UR - https://www.scopus.com/pages/publications/33646738887

M3 - 文章

AN - SCOPUS:33646738887

SN - 1003-501X

VL - 33

SP - 141

EP - 144

JO - Guangdian Gongcheng/Opto-Electronic Engineering

JF - Guangdian Gongcheng/Opto-Electronic Engineering

IS - 3

ER -

Quaternion representation of reflection and refraction laws

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