多模光纤远端光场重建的采样方案(特邀)

Effect of sampling methods on distal field reconstruction through a multimode fiber (invited

  • 摘要: 利用相位恢复算法可以从光纤近端的光强分布求解光纤远端的场强分布。光纤的响应可以用传输矩阵描述。实验上则是在不同的输入情况下对输出端的光强分布进行足够数量的采样来测量传输矩阵。显然,采样点的位置分布,包括采样点数目和间隔,影响着传输矩阵的测量,而相位恢复算法的精度和效率与传输矩阵有关。文中提出采样间隔应该大于出射散斑大小,以满足传输矩阵不同行的统计独立性,在保证图像重建质量的条件下减少采样点数,提高重建效率。实验结果表明,当采样间隔小于散斑大小时,相同的图像重建质量下,随着采样间隔的增大,光场重建所需的采样点数量明显下降。当采样间隔大于散斑时,所需的采样点数量变化缓慢,约为输入图像像素数量的3.5倍。采样间隔固定时,随着采样点数的增加,相位恢复算法消耗的时间先减小后增大,因此存在一个最佳的采样间隔与采样点数。

     

    Abstract: The phase retrieval algorithms can be used to recover the field at the distal end of a fiber from the intensity at the proximal end of the fiber. The response of the fiber can be described by the transmission matrix. In the experiment, a sufficient number of samples are sampled from the output intensity distribution with different input conditions to measure the transmission matrix. Obviously, the position distribution of sampling points, including the sampling number and interval, affects the measurement of the transmission matrix, and the accuracy and efficiency of the phase retrieval algorithm are related to the transmission matrix. We propose that the sampling interval should be greater than the speckle size to ensure the independence of different rows of the transmission matrix; therefore, image quality can be guaranteed with fewer sampling points at higher reconstruction efficiency. The experimental results show that when the sampling interval is less than the speckle size, the number of sampling points required for light field reconstruction decreases significantly with increasing sampling interval under the same image reconstruction quality. When the sampling interval is greater than the speckle size, the number of sampling points required changes slowly and finally remains approximately 3.5 times the number of pixels of the input image. When the sampling interval is fixed, with the increase in sampling points, the time consumed by the phase retrieval algorithm first decreases and then increases, so there is an optimal sampling interval and sampling points.

     

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