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应用平面屏衍射的矩阵理论计算轴对称光学谐振腔的简报
A Note of a Calculation for Axially Symmetrical Optical Resonators Based on a Matris Theory for the Diffraction by Plane Screens
【摘要】 <正> 我们根据李先枢提出的平面屏系统衍射的矩阵理论(待发表),利用国产121机,计算了轴对称的、对称等价共焦腔中的横模场。L.Ronchi(1972)曾评论过已有的把横范场积分方程转化为无限多个线性方程的齐次方程组的方法。他指出:因为系数行列式的阶为无穷,通常采用截断法,“实际上计算出来的损耗与迭代法的结果比较时,只是准确到数量级之内”。由于我们所应用的衍射的矩阵理论中,严格讨论了衍射矩阵的收敛性质,及截取后的误差上限,所以没有这个缺点。我们计算了g=0(共焦腔),l=0,
【Abstract】 Based on a matrix theory for the diffraction by plane screens proposed by one of the authors just now, a calculation for stable optical resonators is performed. Re-lative fild distributions of TEM00, TEM01 modefe for every resonator (g = 0, 0.50, 0.85, 0.90, 0.95) calculated here are all in agreement pricisely with the results obtained by iterative method previously. The most important one of the characteristics of the matrix theory mentioned above is that it has been proved strictly and generally based on the theory of the linear space that the diffraction matrix of a plane screen can be truncated into finite order under any error.
- 【文献出处】 中山大学学报(自然科学版) ,Acta Scifntiarum Naturalium Universitatis Sunyaatseni , 编辑部邮箱 ,1980年04期
- 【被引频次】2
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