In this paper, the ultrasonic frequency coordination relation has been re -designed in the high -dimensional space by the principle of Kernel function nonlinear mapping. The relative deviation of ultrasonic frequency coordination relation from the original formula has been obtained by analyzing I. C. Chang theoretical model and P. A. Gass revised theoretical model concretely, theraby indicating the inadequacy of the two theoretical models; Using the principle of the nonlinear mapping to map the original data samples into a high dimensional kernel space, in other words, translating the nonlinear problem into a linear problem can clarify the relationships not only between ultrasonic frequency and incident angle but also between ultrasonic frequency and optical wavelength, leading to an appropriate kernel function and the improved coordination of the ultrasonic frequency relation.%本文利用核函数非线性映射原理,重新设计出高维空间中的超声波频率协调关系.通过对Chang理论和Gass 修正理论的具体分析,得出其超声波频率协调关系相对原始公式的偏差,由此得出两理论的不足;为明确超声波频率与入射光角度和入射光波长之间的关系,并使其得到简化,利用非线性映射原理使原始数据样本映射到高维核空间中,将非线性问题转化为线性问题,得到适合的核函数,改进了超声波频率的协调关系.
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