| 1. | The frequency property of the apertured bessel beams
光束的频率特性 |
| 2. | Moreover , the similar transformation condition for the apertured fgbs is obtained
此外，通过对该传输公式的分析得到了截断平顶高斯光束的相似变换条件。 |
| 3. | The present thesis is devoted to studying propagation properties of apertured laser beams confronted in the application of high - power - laser technology
本论文的目的是针对强激光技术实际应用中遇到的受光阑限制的各种激光束的传输特性进行研究。 |
| 4. | The propagation property of apertured laser beams ( propagation and control of actual high - power lasers ) is a complicated and challenging subject in the field of high - power - laser technology and a frontier subject many researchers devoting to
受光阑限制光束传输特性(实际强激光的传输与控制)是强激光技术研究领域中面临的具有相当的复杂性和挑战性的课题，也是国际同行们正在努力研究的前沿课题。 |
| 5. | The main results achieved in this thesis can be summarized as follows : 1 . by means of the fourier series expansion , an approximate analytical propagation equation of flattened gaussian beams ( fgbs ) passing through an apertured paraxial abcd optical system is derived , and illustrated with numerical examples , when the transmissivity of the aperture is t ( x ) = cos ( x )
用傅立叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴abcd光学系统的传输特性，导出了光阑透射率为t ( x ) = cos ( x )时的近似解析传输公式，硬边光阑的情况可作为= 0的特例得到。 |
| 6. | Starting from the collins formula , a recurrence equation of hermite - cosine - gaussian ( hcg ) beams propagating through a paraxial abcd system with a hard - edged aperture is derived , from which the analytical propagation expressions for apertured hcg beams of any order can be derived by using the recursive algorithm
从collins公式出发，推导出了厄米?余弦?高斯光束通过有硬边光阑近轴abcd光学系统传输的递推公式。由递推公式，借助迭代算法，得出受光阑限制的任意阶厄米?余弦?高斯光束的解析传输公式。 |
| 7. | ( 3 ) by means of expanding the aperture function into a finite sum of complex gaussian functions , the propagation of fgbs through a paraxial optical abcd system with hard - edged aperture is studied , and the approximate closed - form equations of apertured fgbs are obtained for the first time . the results obtained by using the approximate closed - form equation and collins formula are compared , and the condition under which the approximate closed - form equation is applicable is analyzed
( 3 )利用光阑函数的复高斯函数展开法对截断平顶高斯光束的传输作了研究，首次得到了截断平顶高斯光束在近轴abcd光学系统中传输时的近似解析传输公式，通过比较用近似传物公式和colhns公式直接数值积分所得的结果，得出了近似公式的适用范围。 |
