Varga P, Török P
Research Institute for Technical Physics and Materials Science, Budapest, Hungary.
J Opt Soc Am A Opt Image Sci Vis. 2000 Nov;17(11):2081-9. doi: 10.1364/josaa.17.002081.
We derive a solution to the problem of a plane electromagnetic wave focused by a parabolic mirror. The solution is obtained from the Stratton-Chu integral by solving a boundary-value problem. Our solution can be considered self-consistent. We also derive the far-field, i.e., Debye, approximation of our formulas. The solution shows that when the paraboloid is infinite, its focusing properties exhibit a dispersive behavior; that is, the structure of the field distribution in the vicinity of the focus strongly depends on the wavelength of the illumination. We show that for an infinite paraboloid the confinement of the focused energy worsens, with the energy distribution spreading in the focal plane. 2000 Optical Society of America [S0740-3232(00)01309-0] OCIS codes: 260.0260, 260.2110, 050.1960, 260.5430.
我们推导出了抛物面镜聚焦平面电磁波问题的一个解。该解是通过求解一个边值问题从斯特拉顿 - 朱积分得到的。我们的解可被认为是自洽的。我们还推导出了我们公式的远场，即德拜近似。该解表明，当抛物面为无限大时，其聚焦特性呈现出色散行为；也就是说，焦点附近的场分布结构强烈依赖于照明波长。我们表明，对于无限大的抛物面，聚焦能量的限制变差，能量分布在焦平面上扩散。2000美国光学学会 [S0740 - 3232(00)01309 - 0] 光学学会标识码：260.0260、260.2110、050.1960、260.5430 。
