Seshadri S R
J Opt Soc Am A Opt Image Sci Vis. 2009 Dec;26(12):2515-20. doi: 10.1364/JOSAA.26.002515.
The basic full wave corresponding to the fundamental Gaussian beam was discovered for the outwardly propagating wave in a half-space by the introduction of a source in the complex space. There is a class of extended full waves all of which reduce to the same fundamental Gaussian beam in the appropriate limit. For the extended full Gaussian waves that include the basic full Gaussian wave as a special case, the sources are in the complex space on different planes transverse to the propagation direction. The sources are cylindrically symmetric Gaussian distributions centered at the origin of the transverse planes, the axis of symmetry being the propagation direction. For the special case of the basic full Gaussian wave, the source is a point source. The radiation intensity of the extended full Gaussian waves is determined and their characteristics are discussed and compared with those of the fundamental Gaussian beam. The extended full Gaussian waves are also obtained for the oppositely propagating outwardly directed waves in the second half-space. The radiation intensity distributions in the two half-spaces have reflection symmetry about the midplane. The radiation intensity distributions of the various extended full Gaussian waves are not significantly different. The power carried by the extended full Gaussian waves is evaluated and compared with that of the fundamental Gaussian beam.
通过在复空间中引入源，发现了与基本高斯光束相对应的向外传播波在半空间中的基本全波。存在一类扩展全波，在适当极限下它们都简化为相同的基本高斯光束。对于包括基本全高斯波作为特殊情况的扩展全高斯波，源位于与传播方向垂直的不同平面的复空间中。源是位于横向平面原点处的圆柱对称高斯分布，对称轴为传播方向。对于基本全高斯波的特殊情况，源是一个点源。确定了扩展全高斯波的辐射强度，并讨论了它们的特性，并与基本高斯光束的特性进行了比较。对于在后半空间中反向传播的向外定向波，也得到了扩展全高斯波。两个半空间中的辐射强度分布关于中平面具有反射对称性。各种扩展全高斯波的辐射强度分布没有显著差异。评估了扩展全高斯波携带的功率，并与基本高斯光束的功率进行了比较。
