Seshadri S R
J Opt Soc Am A Opt Image Sci Vis. 2007 Feb;24(2):482-92. doi: 10.1364/josaa.24.000482.
A continuous planar array of dipoles that are oriented in a particular direction and have an amplitude distribution that is Gaussian in the paraxial limit is introduced as a source for the fundamental Gaussian light wave. The radiation intensity of the Gaussian light wave is determined and its characteristics are analyzed. The universal Gaussian beam factor is deduced and identified as the radiation intensity of the scalar Gaussian wave. The total radiated power, the mean center of the localized wave, and the beam widths of the intensity distribution are obtained. The ratio of the power in the Gaussian wave to that in the corresponding paraxial Gaussian beam is used as a measure of the quality of the paraxial beam approximation. A limiting factor for the power ratio is introduced as an indicator for the acceptability of the paraxial beam approximation. The cross section and the beam widths of the localized light wave are investigated in the large and small kw0 limits, where k is the wavenumber and w0 is the beam waist at the input plane. The beam width of the full Gaussian wave is found to be less than that of the corresponding paraxial Gaussian beam both for the scalar Gaussian wave and for the Gaussian light wave.
引入一个连续的平面偶极子阵列作为基模高斯光波的源，这些偶极子沿特定方向排列，并且在傍轴极限下具有高斯型的振幅分布。确定了高斯光波的辐射强度并分析了其特性。推导了通用高斯光束因子，并将其确定为标量高斯波的辐射强度。获得了总辐射功率、局域波的平均中心以及强度分布的束宽。将高斯波中的功率与相应傍轴高斯光束中的功率之比用作傍轴光束近似质量的度量。引入功率比的一个限制因子作为傍轴光束近似可接受性的指标。在大(kw_0)极限和小(kw_0)极限下研究了局域光波的横截面和束宽，其中(k)是波数，(w_0)是输入平面处的束腰。发现对于标量高斯波和高斯光波，全高斯波的束宽均小于相应傍轴高斯光束的束宽。
