- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract

The Verdet constant is one of the key parameters to characterize the material magneto-optical properties. The quantum theory is usually used to study magneto-optical properties and calculate the Verdet constant of paramagnetic material. However, the traditional quantum theory only takes into account the influence of the electron transition dipole moments caused by the particle property of light, which therefore cannot formulate the Verdet constant of magneto-optical material accurately. In view of the shortcomings of the existing theory, in this paper we propose is a wave-transition model of the Verdet constant. Due to the special wave-particle duality of light, the contribution of the non-transition dipole moment to the Verdet constant, caused by the electric field of light wave, should not be ignored. According to the basic theory of magneto-optical effect, in this paper we first explore the intrinsic mechanism of the paramagnetic material’s Verdet constant at a microscopic level and analyze the deficiency of traditional quantum theory. Furthermore, the classical electronic dynamic theory and quantum theory are used to reveal the contribution of volatility and transition of the light to the electric dipole moment. The density operator and statistical algorithm are introduced to derive the polarizability tensor of the paramagnetic magneto-optical material, thus obtaining the Verdet constant expression of the paramagnetic magneto-optical material, from which the Verdet constant is formulated. Taking the paramagnetic magneto-optical material TGG for example, the splitting energy levels and wave function of Tb ³⁺ions in the spin-orbit coupling, crystal field and effective field are calculated by the quantum method, and finally the Verdet constants under the traditional quantum theory and the volatility transition contribution model are obtained quantitatively. The comparative analysis shows that the results calculated by the wave-transition contribution model are more consistent with the experimental data and more accurate than the results calculated through the traditional quantum theory. The idea and method put forward in this paper will provide reference for further exploring the magneto-optical effect mechanism of paramagnetic magneto-optical materials.

Keywords:

Authors and contacts

Corresponding author:Xu You-An,408091240@qq.com

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 61505254)

FullText HTML: translate this paragraph

References

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]

Cited By

DownLoad: Full-Size Img PowerPoint

		1	2	3	4	5	6	7	8
Tb³⁺	E_m₁	41.6	49.7	84.9	89.2	267.5	272	303.2	310.5
Tb³⁺	E_n₁	–863.2	–336.4	–56.3	784.6	1446.7	1996.2

DownLoad: CSV

	1	2	3	4
Tb³⁺	($ \pm 2.342 \mp 0.9516\nu \chi $)	($ \pm 0.46 \mp 0.1422\nu \chi $)	($ \pm 0.897 \mp 0.3641\nu \chi $)	($ \pm 1.49 \mp 0.6561\nu \chi $)

DownLoad: CSV

λ/nm	457.9	532	632.8	830	1064	1300
V_e	–305.7	–190	–134.4	–61	–40.2	–20
V_t	–351.9	–236.2	–157.8	–83.2	–50.3	–32.9
V_w-t	–314.6	–198.7	–144.3	–68.9	–43.7	–23.1
注:V_t为Van Vleck-Hebb传统量子理论的计算值,V_w-t为本文方法的计算值,V_e为实验数据^[19—22].

DownLoad: CSV

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]

[1]	Wang Xia, Jia Fang-Shi, Yao Ke, Yan Jun, Li Ji-Guang, Wu Yong, Wang Jian-Guo.Hyperfine interaction constants and Landégfactors of clock states of Al-like ions. Acta Physica Sinica, 2023, 72(22): 223101.doi:10.7498/aps.72.20230940
[2]	Jiao Yue-Chun, Bai Jing-Xu, Song Rong, Han Xiao-Xuan, Zhao Jian-Ming.Preparation of ultra-cold (36D_5/2+ 6S_1/2) Rydberg molecule and measurement of its permanent electric dipole moment. Acta Physica Sinica, 2023, 72(3): 033202.doi:10.7498/aps.72.20221865
[3]	Zhu Hong-Gang, Fu Ming-An, Ren Chuang, Gao Yun, Huang Zhong-Bing.Superparamagnetism of potassium-doped tris(diphenacyl) iron. Acta Physica Sinica, 2022, 71(8): 087501.doi:10.7498/aps.71.20212128
[4]	Meng Ju, He Zhen-Cen, Yan Jun, Wu Ze-Qing, Yao Ke, Li Ji-Guang, Wu Yong, Wang Jian-Guo.Effects of electric quadrupole transitions on ion energy-level populations of in electron beam ion trap plasma. Acta Physica Sinica, 2022, 71(19): 195201.doi:10.7498/aps.71.20220489
[5]	Zheng Wei-Min, Huang Hai-Bei, Li Su-Mei, Cong Wei-Yan, Wang Ai-Fang, Li Bin, Song Ying-Xin.Transitions between Be acceptor levels in GaAs bulk. Acta Physica Sinica, 2019, 68(18): 187104.doi:10.7498/aps.68.20190254
[6]	Lou Bing-Qiong, Li Fang, Wang Pei-Yan, Wang Li-Ming, Tang Yong-Bo.Ab initiocalculation of hyperfine-structure constantAof Fr and evaluation of magnetic dipole moments of Fr isotopes. Acta Physica Sinica, 2019, 68(9): 093101.doi:10.7498/aps.68.20190113
[7]	Cai Wei, Xu You-An, Yang Zhi-Yong.Quantum calculation of the influence of trivalent praseodymium ions doping on the magneto-optical properties of terbium gallium garnet crystal. Acta Physica Sinica, 2019, 68(13): 137801.doi:10.7498/aps.68.20190576
[8]	Li Wen-Yu, Huo Ge, Huang Yan, Dong Li-Juan, Lu Xue-Gang.Synthesis and superparamagnetism of Fe3O4 hollow nano-microspheres. Acta Physica Sinica, 2018, 67(17): 177501.doi:10.7498/aps.67.20180579
[9]	Liu En-Hua, Chen Zhao, Wen Xiao-Li, Chen Chang-Le.Influence of paramagnetic La2/3Sr1/3MnO3 layer on the multiferroic property of Bi0.8Ba0.2FeO3 film. Acta Physica Sinica, 2016, 65(11): 117701.doi:10.7498/aps.65.117701
[10]	Men Fu-Dian, Wang Hai-Tang, He Xiao-Gang.The stability and paramagnetism of Fermi gas in a strong magnetic field. Acta Physica Sinica, 2012, 61(10): 100503.doi:10.7498/aps.61.100503
[11]	Wang Feng, Wang Yue-Yan, Huang Wei-Wei, Zhang Xiao-Ting, Li Shan-Yu.Magnetic properties of CoxZn1-xO by solid-state reaction. Acta Physica Sinica, 2012, 61(15): 157503.doi:10.7498/aps.61.157503
[12]	Li Chang-Yong, Zhang Lin-Jie, Zhao Jian-Ming, Jia Suo-Tang.Measurement and theoretical calculation for Stark energy and electric dipole moment of Cs Rydberg state. Acta Physica Sinica, 2012, 61(16): 163202.doi:10.7498/aps.61.163202
[13]	Chen Da-Xin, Chen Zhi-Feng, Xu Chu-Dong, Lai Tian-Shu.Physical origin of transient Kerr peak induced by circularly polarized laser in ferromagnetic films. Acta Physica Sinica, 2010, 59(10): 7362-7367.doi:10.7498/aps.59.7362
[14]	Liu Xue-Chao, Shi Er-Wei, Song Li-Xin, Zhang Hua-Wei, Chen Zhi-Zhan.Magnetic and optical properties of Co doped ZnO powders synthesized by solid-state reaction. Acta Physica Sinica, 2006, 55(5): 2557-2561.doi:10.7498/aps.55.2557
[15]	Zhou Qing-Chun.Emission spectrum of a cascade three-level atom with orthogonal dipoles interacting with a single-mode field. Acta Physica Sinica, 2006, 55(9): 4618-4623.doi:10.7498/aps.55.4618
[16]	Shen Han, Xu Hua, Chen Min, Li Jing-De.Non-ferroelectric single crystal of ultra-high dielectric constant. Acta Physica Sinica, 2004, 53(5): 1529-1533.doi:10.7498/aps.53.1529
[17]	FANG DA-WEI, ZHANG YI, ZHONG JIAN-WEI, ZHANG SEN.TRANSITION PROPERTIES OF HIGHLY-EXCITED STATES OF Yb ATOM. Acta Physica Sinica, 1999, 48(4): 596-602.doi:10.7498/aps.48.596
[18]	XU PEI-YING, SHENG DONG-NING, LU HUAI-XIAN.DIELECTRIC CHARACTERISTICS OF FERROFLUID. Acta Physica Sinica, 1988, 37(7): 1192-1196.doi:10.7498/aps.37.1192
[19]	LIU GONG-QIANG, HUANG YAN-PING.QUANTUM THEORY OF FARADAY MAGNETO-OPTIC EFFECT IN THE PARAMAGNETIC MEDIA. Acta Physica Sinica, 1988, 37(10): 1626-1632.doi:10.7498/aps.37.1626
[20]	LIU HONG-JU, ZHAO ZHE-YING, SHI ZHONG-JIAN.MEASUREMENT OF ALL COMPONENTS OF THE ELECTRO-ELASTIC TENSOR FOR α-LiIO3 CRYSTAL. Acta Physica Sinica, 1981, 30(3): 297-305.doi:10.7498/aps.30.297

Catalog

Vol. 68, Issue 20 - 2019-10-20

Metrics

Abstract views:10400
PDF Downloads:86
Cited By:0

Search

Article