多光束合成场远场特征的傅里叶分析
Using Fourier optics to study features of combined beams in far field
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摘要: 由傅里叶光学原理给出了多光束合成场的远场表达式，在此基础上求出了分布在园环上的相干光源合束后的远场解析式。对光源按角度均匀分布在环上的情况，重点讨论了光源数目为2，3，4情况下远场光强暗环(线)。研究表明，在光源数目为2的情况下，远场图上只有暗线没有暗环；在光源数目为3,4的情况下，远场图上的暗环并非圆形环。由于傅里叶方法运算简单，而且还可用于激光器输出并非严格高斯光束(如光纤激光器、半导体激光器)等情况，因而对分析相干合束有其独特优势和实际意义。Abstract: By using Fourier optics analyzing method, the expression to the far field of combined beams is deduced and the expressions for the coherently combined beams emitted from sources positioned on the circle have been given. For the cases where the sources are uniformly distributed, the dark lines in the far field are studied for beam numbers of 2, 3 and 4, respectively. It is found that when the sources number is 2, there are only dark lines (instead of rings) on the far field pattern and when the sources numbers are 3 and 4, the dark rings are far from being the circles. Since Fourier optics method is easy to implement and can be applied to non-Gaussian beams (such as those from the fiber lasers, semiconductor lasers, etc.), so it possessed unique advantages and is of practical significance
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Key words:
- fourier optics /
- coherent light source /
- beams combination /
- far field pattern /
- dark rings
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