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测量孔径尺寸的有限性 ,在基于空间傅里叶变换的平面近场声全息中会带来窗效应和卷绕误差 .为了克服窗效应和卷绕误差 ,引入了统计最优平面近场声全息技术 .运用声场叠加原理 ,证明了统计最优平面近场声全息的理论公式 .通过在空间波数域限定kx,ky 的取值范围 ,并离散其确定的空间波数面的途径 ,提出了一种确定波数矢量的方法 .为了克服常规统计最优平面近场声全息技术的应用局限性———全息面一侧的声场必须为自由声场 ,提出了适用于统计最优平面近场声全息的、基于双全息面测量的空间声场分离技术 .通过实验和数值仿真对理论推导的正确性进行了验证 .
In order to overcome the window effect and winding error, the statistical optimal plane near-field acoustic holography is introduced in the measurement of the limited aperture size in the near-field acoustic holography based on the space Fourier transform The theory of superposition of acoustic field is used to prove the theoretical formula of the statistical optimal plane near-field acoustic holography. By defining the range of kx and ky in the spatial wave number domain and discretizing the determined spatial wave number plane, In order to overcome the limitations of the conventional statistical near-field acoustic holography, the sound field on the holographic side must be a free acoustic field, and a new method is proposed for the statistical optimal near-field acoustic holography, Spatial sound field separation technique based on dual holographic surface measurements.The correctness of theoretical derivation is verified by experiments and numerical simulations.