电磁辐射的指数光束
Exponential beams of electromagnetic radiation
摘要：
我们发现，除了众所周知的贝塞尔，厄米-高斯，拉盖尔-高斯光束的电磁辐射，也可以构建指数光束。这些光束的特征在于由ρ的指数函数描述的横向方向上的衰减。指数光束，如贝塞尔光束，携带确定的角动量，并且沿着传播方向是周期性的，但与贝塞尔光束不同的是，它们每单位光束长度具有有限的能量。通过广泛使用Riemann-Silberstein矢量和仅用一个复变函数表示的麦克斯韦方程组的解的Whittaker表示，这些梁的分析被大大简化。通过将指数光束构造为贝塞尔光束的波包，使贝塞尔光束与指数光束之间的联系变得清晰。
英文摘要：
We show that in addition to well known Bessel, Hermite-Gauss, and Laguerre-Gauss beams of electromagnetic radiation, one may also construct exponential beams. These beams are characterized by a fall-off in the transverse direction described by an exponential function of rho. Exponential beams, like Bessel beams, carry definite angular momentum and are periodic along the direction of propagation, but unlike Bessel beams they have a finite energy per unit beam length. The analysis of these beams is greatly simplified by an extensive use of the Riemann-Silberstein vector and the Whittaker representation of the solutions of the Maxwell equations in terms of just one complex function. The connection between the Bessel beams and the exponential beams is made explicit by constructing the exponential beams as wave packets of Bessel beams.
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