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It is known that polarization as the third characteristic of electromagnetic waves plays substantial roles which are comparable with the wave amplitude and phase, in describing the tempo and spatial properties of electromagnetic waves. Various parameter groups for characterizing the polarization state of electromagnetic waves with different initial states and boundary conditions have been proposed. However, a full-scale set of conversion relationships between these parameter groups with specific initial phases is not yet available. In this work, the initial phases as additional parameters for the orthogonal linear polarization and the polarization ellipse parameter groups and the digitized elliptical angle ' as a complementary parameter to the polarization ellipse parameter group are taken into account respectively. Consequently, a full-scale set of conversion relationships between these parameter groups has been rigorously derived out. The validity of these conversion relationships are confirmed by the numerical calculations in terms of mathematical completeness and one-to-one correspondence. These conversion relationships make the tedious computation of the wave polarization much simpler and straightforward, benefiting practical implementation of the polarization theory of electromagnetic waves.
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Keywords:
- electromagnetic waves /
- parameter groups of complete polarization /
- conversion relationships
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[1] Lacaze B 2011Opt.Commun. 284 2700
[2] Rao B, Xiao S P, Wang X S, Li Y Z 2011Journal of System Simulation 23 2296(in Chinese)[饶彬, 肖顺平, 王雪松, 李永祯2011系统仿真学报23 2296]
[3] Liang C H, Chen X 2011Journal of Electrical Electronic Education 33 1(in Chinese)[梁昌洪, 陈曦2011电气电子教学学报33 1]
[4] Giuli D 1986Pro.IEEE 74 245
[5] Zhuang Z W, Xiao S P, Wang X S 1999Radar Polarization Information Processing and Application(Beijing:National Defense Industry Press) pp1-20(in Chinese)[庄钊文, 肖顺平, 王雪松1999雷达极化信息处理及应用(北京:国防工业出版社)第1-20页]
[6] Wang X S 1999Ph.D.Dissertation(Changsha:National University of Defense Technology)(in Chinese)[王雪松1999博士学位论文(长沙:国防科技大学)]
[7] Chen L T, Chen Y Z, Nie Y, Gong R Z 2012Acta Phys.Sin. 61 094203(in Chinese)[陈龙天, 程用志, 聂彦, 龚荣洲2012物理学报61 094203]
[8] Zhou H, Qu S B, Peng W D, Wang J F, Ma H, Zhang D W, Zhang J Q, Bai P, Xu Z 2012Acta Phys.Sin. 61 104201(in Chinese)[周航, 屈绍波, 彭卫东, 王甲富, 马华, 张东伟, 张介秋, 柏鹏, 徐卓2012物理学报61 104201]
[9] Tang Q, Meng F Y, Zhang K, Wu Q, Li L W 2011Acta Phys.Sin. 60 014206(in Chinese)[汤奇, 孟繁义, 张狂, 吴群, 李乐伟2011物理学报60 014206]
[10] Campbell S D, Ziolkowski R W 2013IEEE Trans.Antenn.Propa. 61 1191
[11] Huang L, Fan Y H, Wu S, Yu L Z 2015Chin.Phys.Lett. 32 094101
[12] Vena C, Versace C, Bartolino R 2013EPL 101 24003
[13] Hacyan S 2012Gen.Relat.Gravit. 44 2923
[14] Wang T, Zhao D M 2012Opt.Commun. 285 893
[15] Liu T, Huang G M, Wang X S, Xiao S P 2009Acta Phys.Sin. 58 3140(in Chinese)[刘涛, 黄高明, 王雪松, 肖顺平2009物理学报58 3140]
[16] Liu T, Wang X S, Xiao S P 2008Science in China Series E-Infomation Sciences 38 2241(in Chinese)[刘涛, 王雪松, 肖顺平2008中国科学E辑:信息科学38 2241]
[17] Wang Y P 2007Engineering Eletrodynamics(2nd Ed.Revision)(Xi'an:Xidian University Press) pp186-192(in Chinese)[王一平2007工程电动力学(第2版修订本)(西安:西安电子科技大学出版社)第186-192页]
[18] Mao N H, Ju X D 1987Antenna Measurement Handbook(Beijing:National Defense Industry Press) pp126-168(in Chinese)[毛乃宏, 俱新德1987天线测量手册(北京:国防工业出版社)第126-168页]
[19] Jia J T, Kong Q X, Sogabe T 2012Int.J.Comput.Math. 89 851
[20] Sogabe T, El-Mikkawy M 2011Appl.Math.Comput. 218 2740
[21] Liang J S, Chen Y Q, Guo B Z 2004Simul.-Trans.the Soc.Mod.Sim. 80 635
[22] Zhang Y N, Yi C F, Ma W M 2009Simul.Model.Pract.T. 17 1603
[23] Suman V, Datta D, Sarkar P K, Kushwaha H S 2010Indian Journal of Pure Applied Physics 48 787
[24] Yang Z H 2007Chaos Solutions Fractals 34 932
[25] Huang Y, Qian F X, Dong L X 2002Experiments and Measurements in Fluid Mechanics 16 91(in Chinese)[黄勇, 钱丰学, 董立新2002流体力学实验与测量16 91]
[26] Boute R 2009IEEE Antenn.Propag.Mag. 51 177
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