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Nonparaxial Fresnel diffraction from oblique end facets of optical fibers

机译:光纤斜端面的非傍轴菲涅耳衍射

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When optical fibers are connected with other optical or opto-mechanical components, free space propagation phenomena of the light emitted from cleaved end facets of fiber need to be precisely known to maximize coupling efficiency. Besides, optical fibers are widely used in interferometers design as point-diffraction sources to replace conventional pinholes, in which case the far-field wave front of the light emitted from fibers is of major concern. End facets may be cleaved normal to the optical axis of fibers or with oblique angles to suit specific purposes such as anti-reflection or propagation direction alteration. In this investigation, diffraction from oblique end facets of single-mode fibers is studied with emphasis on Fresnel propagation in nonparaxial zones based on the Rayleigh-Sommerfeld scalar diffraction theory. The result is a closed-form explicit solution expressed in terms of spherical coordinates, which enables to determine the propagation field generated over an entire hemispherical observation surface. In comparison to exiting solutions of numerical or infinite series forms, the explicit solution obtained in this investigation saves a considerable amount of computation time and provides better estimation accuracy. Finally, as an example, the wave front sphericity emitted from an oblique single-mode fiber used in a new design of the Fizeau interferometer is determined and discussed in detail.
机译:当光纤与其他光学或光机械组件连接时,需要精确地知道从光纤开裂端面射出的光的自由空间传播现象,以使耦合效率最大化。此外,光纤在干涉仪设计中被广泛用作点衍射源,以代替常规的针孔,在这种情况下,从光纤发射的光的远场波前是主要关注的问题。可以垂直于光纤的光轴或倾斜角度切割端面,以适应特定目的,例如抗反射或传播方向更改。在这项研究中,基于Rayleigh-Sommerfeld标量衍射理论,研究了单模光纤斜端面的衍射,重点是菲涅耳在非傍轴区域的传播。结果是用球坐标表示的封闭形式的显式解,这使得能够确定在整个半球观测表面上生成的传播场。与现有的数值或无限级数形式的解决方案相比,此研究中获得的显式解决方案节省了大量计算时间,并提供了更好的估计精度。最后,作为一个例子,确定并详细讨论了在Fizeau干涉仪的新设计中使用的斜单模光纤发出的波前球形度。

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