非线性动态特性的逆推演方法及其在干涉术中的应用

提出了研究对象非线性动态特性的逆推演新方法，它的特点是从已知对象的非微分方程解析解导出该对象可能的微分方程，从而开拓它的解域或解空间，或者说恢复丢失的解。同时讨论了当对象为法布里－珀罗干涉（F－P）或迈克耳孙干涉时该方法的应用过程，并且对法布里－珀罗定义新的不透过系数（u＝1／τ），从而给出更简洁和易分析的对象动态特性微分议程，以及由此导出测量法布里－珀罗干涉相位的过程，值得注意的是由新方法导出的微分议程揭示对象更一般的时空演化特征。而且在现有的经验和知识基础上可以进一步唯象地拓展至其他可能的非线性形式，从而使对象的表达方式更接近它的实际情况。

Inverse Evolution Method for Nonlinear Dynamics of Objects and Its Application to Interferometry

An inverse evolution method for studying nonlinear dynamics of an object is suggested. Its main process is to deduce a probability differential (or partial differential) equation to the object using known solution from non differential equation, therefore the solution domain or space would be extended, in other words, those lost solutions are restored. Meanwhile its application to Fabry Perot (F P) interferometry is discussed in detail (also suitable to Mechelson interferometry). A new parameter definition, opaqueness of F P, is recommended, then one can deduce the dynamic property of F P and get other methods for measuring the fineness and optic phase of F P. It is worth to note that not only an extended solution space is contained in the differential equation but also one can further in phenomenon infer it according to the known typical nonlinear evolution equations or current experience and knowledge, hence the representation for object would be more and more close to its true state.