A description of polarizing state of light by using group theory: Generator of rotation matrix

Yue Song Jiang; Xiao Lu Li; Xu Guo Zhang

A description of polarizing state of light by using group theory: Generator of rotation matrix

Yue Song Jiang^*
, Xiao Lu Li
, Xu Guo Zhang

^*Corresponding author for this work

School of Instrumentation and Optoelectronic Engineering

Beihang University

Research output: Contribution to journal › Article › peer-review

Abstract

The applications of the relationship of correspondence between matrices and group theory is continued. The generators of SU(2) group, SO(3) group in the case of the totally transparent system and generators of unimodular group and Lorentz group in the case of the partially transparent system, which are corresponding to Jonas matrix and Mueller matrix in polarization light system respectively, are represented by using unit matrix, Pauli's spin matrix and sparse matrix. According to theory of matrix calculus, it is obviously that a simplified calculus method for polarization light system can be obtained by using the generators of the groups.

Original language	English
Pages (from-to)	351-353
Number of pages	3
Journal	Guangxue Jishu/Optical Technique
Volume	35
Issue number	3
State	Published - May 2009

Keywords

Generator and simplified calculus
Lie groups
Polarization light
SO(3) group
SU(2) group

Cite this

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title = "A description of polarizing state of light by using group theory: Generator of rotation matrix",

abstract = "The applications of the relationship of correspondence between matrices and group theory is continued. The generators of SU(2) group, SO(3) group in the case of the totally transparent system and generators of unimodular group and Lorentz group in the case of the partially transparent system, which are corresponding to Jonas matrix and Mueller matrix in polarization light system respectively, are represented by using unit matrix, Pauli's spin matrix and sparse matrix. According to theory of matrix calculus, it is obviously that a simplified calculus method for polarization light system can be obtained by using the generators of the groups.",

keywords = "Generator and simplified calculus, Lie groups, Polarization light, SO(3) group, SU(2) group",

author = "Jiang, \{Yue Song\} and Li, \{Xiao Lu\} and Zhang, \{Xu Guo\}",

year = "2009",

month = may,

language = "英语",

volume = "35",

pages = "351--353",

journal = "Guangxue Jishu/Optical Technique",

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publisher = "Optical Technique",

number = "3",

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T1 - A description of polarizing state of light by using group theory

T2 - Generator of rotation matrix

AU - Jiang, Yue Song

AU - Li, Xiao Lu

AU - Zhang, Xu Guo

PY - 2009/5

Y1 - 2009/5

N2 - The applications of the relationship of correspondence between matrices and group theory is continued. The generators of SU(2) group, SO(3) group in the case of the totally transparent system and generators of unimodular group and Lorentz group in the case of the partially transparent system, which are corresponding to Jonas matrix and Mueller matrix in polarization light system respectively, are represented by using unit matrix, Pauli's spin matrix and sparse matrix. According to theory of matrix calculus, it is obviously that a simplified calculus method for polarization light system can be obtained by using the generators of the groups.

AB - The applications of the relationship of correspondence between matrices and group theory is continued. The generators of SU(2) group, SO(3) group in the case of the totally transparent system and generators of unimodular group and Lorentz group in the case of the partially transparent system, which are corresponding to Jonas matrix and Mueller matrix in polarization light system respectively, are represented by using unit matrix, Pauli's spin matrix and sparse matrix. According to theory of matrix calculus, it is obviously that a simplified calculus method for polarization light system can be obtained by using the generators of the groups.

KW - Generator and simplified calculus

KW - Lie groups

KW - Polarization light

KW - SO(3) group

KW - SU(2) group

UR - https://www.scopus.com/pages/publications/67649198843

M3 - 文章

AN - SCOPUS:67649198843

SN - 1002-1582

VL - 35

SP - 351

EP - 353

JO - Guangxue Jishu/Optical Technique

JF - Guangxue Jishu/Optical Technique

IS - 3

ER -

A description of polarizing state of light by using group theory: Generator of rotation matrix

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Keywords

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