描述李萨如图形性状的普适相位参量

THE UNIVERSAL PHASE PARAMETER DESCRIBED SHAPES AND PROPERTIES OF LISSAJOU ′S FIGURES

本文证明，折合初相位差是描述李萨如图形性状的普适相位参王；李萨如图形的各种主要性质随φｏ变化遵从着简单的规律；不同频率比的李萨如图形按照φｏ值有唯一确定的类比关系。从而建立了一种定量描述李萨如图形性状的数学方法。

This paper analyed and proved that the reduced initial phase difference is a universal phase parameter desrcibed Lissajou′s figures.The variation of every main propeity of Lissajou′s figures with the φ.vasing ofeys some simple law.The lissajou′s figures The vasiation of euesyh main propestyof Lissajou′s figures with the φ.varing ofeys some simple law.The Lissajouis figures for different frequency ratioexhibited only a certain analogy selationship.Amathematical method which describes Lissajouis figures guantita-tively is established in the paper.