Propagation-invariant wave fields with finite energy
Propagation-invariant wave fields with finite energy
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DOI：
10.1364/josaa.17.000294
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发表时间：
2000-02-01
影响因子：
1.9
通讯作者：
Shamir, J
中科院分区：
文献类型：
--
作者：
Piestun, R;Schechner, YY;Shamir, J
传播不变性扩展在傍轴制度，导致广义自成像效应。这些波场的特点是有限数量的横向自我形象，出现在一般情况下，在不同的方向和尺度。它们具有有限的能量，因此可以精确地产生。导出了充分必要条件，并在Gauss-Laguerre模态平面上进行了适当的表示。与以下现象的关系进行了研究：经典的自成像，旋转光束，本征傅里叶函数，和最近推出的广义传播不变波场。在傍轴制度，他们都包括在广义自成像效应，提出。在这方面，我们显示了傍轴贝塞尔光束和高斯-拉盖尔光束之间的一个重要关系。(C)2000美国光学学会[S 0740 -3232（00）00502-0] OCIS代码：030.4070、050.1960、110.6760、140.3300、350.5030、350.5500、350.7420。
Propagation invariance is extended in the paraxial regime, leading to a generalized self-imaging effect. These wave fields are characterized by a finite number of transverse self-images that appear, in general, at different orientations and scales. They possess finite energy and thus can be accurately generated. Necessary and sufficient conditions are derived, and they are appropriately represented in the Gauss-Laguerre modal plane. Relations with the following phenomena are investigated: classical self-imaging, rotating beams, eigen-Fourier functions, and the recently introduced generalized propagation-invariant wave fields. In the paraxial regime they are all included within the generalized self-imaging effect that is presented. In this context we show an important relation between paraxial Bessel beams and Gauss-Laguerre beams. (C) 2000 Optical Society of America [S0740-3232(00)00502-0] OCIS codes: 030.4070, 050.1960, 110.6760, 140.3300, 350.5030, 350.5500, 350.7420.