本文推广了几何光学近轴光线传输的ABCD定理,使之适用于远离光轴的空间光线的传输,无论光学系统是旋转对称的还是非旋转对称的.又注意到经典力学中的粒子运动也存在类似的ABCD定理.进一步研究发现在这宏观的定理背后的物理含义,即允许存在另一个更为普遍的规律"测不准关系"的可能性.此外应用推广的ABCD定理,可导出推广的含ABCD的衍射积分定理,用角程函的导数来表示.以此进行含初级(赛德耳)象差的衍射积分计算是方便的.文中给出含球差与含慧差的解析结果,及仅含球差时的数值计算.
参考文献
| [1] | Brouwer W,O'Neill E L,Walther A.The role of eikonal and matrix methods in contrast transfer calculations [J].Appl.Opt.,1963,2(12):1239-1246. |
| [2] | Brouwer W.Matrix Methods in Optical Instrument Design [M].New York:Benjamin,1964. |
| [3] | Kogelnik H,Li T.Laser beams and resonators [J].Proc.IEEE,1966,154(10):1312-1329. |
| [4] | Maitland A,Dann M H.Laser Physics [M].North-Holland Publishing Company,1969.161. |
| [5] | Collins S A.Lens-system diffraction integral written in terms of matrix optics [J].J.Opt.Soc.Am.,1970,60(9):1168-1177. |
| [6] | Fan Dianyuan.The Fresnel number in term of ray matrix elements [J].Acta Optics Sinica (光学学报),1983,3(4):319-325 (in Chinese). |
| [7] | Shaomin W,Ronchi L.Progress in Optics XXV [M].Ed.Wolf E.Elsevier Science Publishers B.V.,1988.281. |
| [8] | Wu Dayou.Classical Dynamics (古典动力学) [M].Beijing:Science Press,1983.(in Chinese). |
| [9] | Gutzwiller M C.Chaos in Classical and Quantum Mechanies [M].Springer-Verlag,NewYork Inc.,1990.83. |
| [10] | Born M,Wolf E.Principles of Optics [M].Beijing:Science Press,1978.180-279. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%