中国光学快报(英文版)
中國光學快報(英文版)
중국광학쾌보(영문판)
CHINESE JOURNAL OF LASERS
2004年
4期
206-209
,共4页
刘红婕%赵道木%毛海丹%王绍民%景峰%朱启华%魏晓峰%张小民
劉紅婕%趙道木%毛海丹%王紹民%景峰%硃啟華%魏曉峰%張小民
류홍첩%조도목%모해단%왕소민%경봉%주계화%위효봉%장소민
Based on the principle that a rectangular function can be expanded into a sum of complex Gaussian functions with finite numbers, propagation characteristics of a Gaussian beam or a plane wave passing through apertured fractional Fourier transforming systems are analyzed and corresponding analytical formulae are obtained. Analytical formulae in different fractional orders are numerically simulated and compared with the diffraction integral formulae, the applicable range and exactness of analytical formulae are confirmed.It is shown that the calculating speed of using the obtained approximate analytical formulae, is several hundred times faster than that of using diffraction integral directly. Meanwhile, by using analytical formulae the effect of different aperture sizes on Gaussian beam propagation characteristics is numerically simulated, it is shown that the diffraction effect can be neglected when the aperture size is 5 times larger than the beam waist size.
