Twisted electromagnetic modes and Sagnac ring lasers

Twisted electromagnetic modes and Sagnac ring lasers
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扭曲电磁模式和萨尼亚克环形激光器

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
D. Wiltshire
D. Wiltshire
中科院分区:
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文献类型:
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作者:
D. Burton;A. Noble;R. Tucker;D. Wiltshire

文献摘要

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构造了一种新的近似格式,用于求解旋转空心细长腔内的协变麦克斯韦方程(模拟环形激光器)。结果表明,在一定条件下,存在相对于腔体纵轴的TE模和TM模。发现扭转模谱依赖于腔的积分Frenet扭转,而这又可能影响由腔的非零旋转引起的Sagnac拍频。这项分析的动机是试图使用环形激光来测量地球的重磁或地球自转产生的透镜-瑟林效应。
A new approximation scheme, designed to solve the covariant Maxwell equations inside a rotating hollow slender cavity (modelling a ring laser), is constructed. It is shown that for well-defined conditions there exist TE and TM modes with respect to the longitudinal axis of the cavity. A twisted mode spectrum is found to depend on the integrated Frenet torsion of the cavity and this in turn may affect the Sagnac beat frequency induced by a non-zero rotation of the cavity. The analysis is motivated by attempts to use ring lasers to measure terrestrial gravito-magnetism or the Lense–Thirring effect produced by the rotation of the earth.