光束标量波理论的Foldy-Wouthuysen变换和准傍轴近似方案
Foldy-Wouthuysen transformation and a quasiparaxial approximation scheme for the scalar wave theory of light beams
摘要：
将Foldy-Wouthuysen迭代对角化技术应用于Helmholtz方程，以获得单色准傍轴光束通过折射率$n(x,y,z)$围绕背景值$n_0$变化的系统的传播的哈密顿描述，使得$|n(x,y,z)-n_0| \ll n_0$。这种技术是作为一种替代传统的方法的级数展开的自由基。这种方法除了再现了所有传统的准傍轴项外，还在光学哈密顿量中引入了附加项。
英文摘要：
The Foldy-Wouthuysen iterative diagonalization technique is applied to the Helmholtz equation to obtain a Hamiltonian description of the propagation of a monochromatic quasiparaxial light beam through a system in which the refractive index $n(x,y,z)$ varies about a background value $n_0$ such that $|n(x,y,z)-n_0| \ll n_0$. This technique is presented as an alternative to the conventional method of series expansion of the radical. Besides reproducing all the traditional quasiparaxial terms, this method leads to additional terms in the optical Hamiltonian.
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