Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications

doi:10.1088/1674-1056/19/8/083204

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 83204-083204.doi: 10.1088/1674-1056/19/8/083204

Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications

李会容, 印建平

State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China

收稿日期:2009-12-09 修回日期:2010-01-06 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10374029, 10434060 and 10674047), the National Key Basic Research and Development Program of China (Grant No. 2006CB921604), the Basic Key Program of Shanghai Municipality (Grant No. 07JC14017), the Program for Changjiang Scholar and Innovative Research Team, and Shanghai Leading Academic Discipline Project (Grant No. B408).

Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications

Li Hui-Rong(李会容) and Yin Jian-Ping(印建平)^†

State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China

Received:2009-12-09 Revised:2010-01-06 Online:2010-08-15 Published:2010-08-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10374029, 10434060 and 10674047), the National Key Basic Research and Development Program of China (Grant No. 2006CB921604), the Basic Key Program of Shanghai Municipality (Grant No. 07JC14017), the Program for Changjiang Scholar and Innovative Research Team, and Shanghai Leading Academic Discipline Project (Grant No. B408).

摘要/Abstract

摘要： We numerically calculate and analyse the electromagnetic fields, optical intensity distributions, polarization states and orbital angular momentum of some elliptic hollow modes in an elliptic dielectric hollow fiber (EDHF) by using Mathieu functions, and also calculate the optical potential of the blue-detuned _eHE₁₁ mode evanescent-light wave for ⁸⁵Rb atoms, including the position-dependent van der Waals potential, and discuss briefly some potential applications of our EDHF in atom and molecule optics, etc. Our study shows that the vector electric field distributions of the odd modes in the cross section of the EDHF are the same as that of the even modes and with different boundary ellipses by rotating an angle of π/2, and the orbital angular momentum (OAM) of single HE (EH) mode is exactly equal to zero, while that of dual-mode in the EDHF is fractional in h, and has a sinusoidal oscillation as z varies. The EDHF can be used to produce various elliptic hollow beams, even to generate and study various atomic vortices with a fractional charge and its fractional quantum Hall effect in atomic Bose--Einstein condensate, and so on.

Abstract: We numerically calculate and analyse the electromagnetic fields, optical intensity distributions, polarization states and orbital angular momentum of some elliptic hollow modes in an elliptic dielectric hollow fiber (EDHF) by using Mathieu functions, and also calculate the optical potential of the blue-detuned _eHE₁₁ mode evanescent-light wave for ⁸⁵Rb atoms, including the position-dependent van der Waals potential, and discuss briefly some potential applications of our EDHF in atom and molecule optics, etc. Our study shows that the vector electric field distributions of the odd modes in the cross section of the EDHF are the same as that of the even modes and with different boundary ellipses by rotating an angle of $\pi$/2, and the orbital angular momentum (OAM) of single HE (EH) mode is exactly equal to zero, while that of dual-mode in the EDHF is fractional in $\hbar$, and has a sinusoidal oscillation as z varies. The EDHF can be used to produce various elliptic hollow beams, even to generate and study various atomic vortices with a fractional charge and its fractional quantum Hall effect in atomic Bose–Einstein condensate, and so on.

Key words: elliptic hollow modes, optical potential, orbital angular momentum, polarisation

中图分类号: (Propagation, scattering, and losses; solitons)

42.81.Dp

42.81.Gs (Birefringence, polarization)

李会容, 印建平. Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications[J]. 中国物理B, 2010, 19(8): 83204-083204.

Li Hui-Rong(李会容) and Yin Jian-Ping(印建平). Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications[J]. Chin. Phys. B, 2010, 19(8): 83204-083204.

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Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications

Propagation properties of electromagnetic fields in elliptic dielectric hollow fibres and their applications

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