高频全息图傅里叶全息图等效传递函数和脉冲响应模拟

А. В. Павлов, А.О. Гаугель
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摘要

在参考光谱和参考光束的局部幅值相等的频率以下的频率范围内,局部衍射效率与空间频率的依赖关系存在逆截面,利用“差”模型对傅里叶全息的4f全息方案在+1衍射阶上的传递函数建模和脉冲响应逼近的方法提出并证明了高斯函数。在实现只涉及处理电路响应的全局最大值的处理模型时,使用与脉冲响应的最小均方误差相等的传递函数,与直接传递函数的近似相比,可以提供更准确的脉冲响应近似值,这是一种便利。将仿真结果与实验数据进行对比,验证了该方法的有效性。
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Моделирование эквивалентной передаточной функции и импульсного отклика схемы голографии Фурье для высокочастотных голограмм
An approach for modeling the transfer function and approximating the impulse response in the +1 diffraction order of the 4f holography scheme of the Fourier holography under usage of high-frequency holograms characterized by the presence of an inverse section of the dependence of the local diffraction efficiency on the spatial frequency in the frequency range below the frequency of equality of local amplitudes of the reference spectrum and the reference beam by the model of “Difference of Gaussians” is proposed and justified. The expediency of using, when implementing processing models that involve working only with the global maximum of the circuit response, a transfer function that is equivalent in terms of the minimum mean square error of the impulse response, as providing a more accurate approximation of the impulse response compared to the approximation of the direct transfer function, is shown. The validity of the approach is confirmed by comparing the simulation results with experimental data.
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