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        Study of Spectral Reflectance Reconstruction Based on an Algorithm for Improved Orthogonal Matching Pursuit

        Zhang Leihong,Liang Dong,Zhang Dawei,Gao Xiumin,Ma Xiuhua 한국광학회 2016 Current Optics and Photonics Vol.20 No.4

        Spectral reflectance is sparse in space, and while the traditional spectral-reconstruction algorithm doesnot make full use of this characteristic sparseness, the compressive sensing algorithm can make full useof it. In this paper, on the basis of analyzing compressive sensing based on the orthogonal matching pursuitalgorithm, a new algorithm based on the Dice matching criterion is proposed. The Dice similarity coefficientis introduced, to calculate the correlation coefficient of the atoms and the residual error, and is used toselect the atoms from a library. The accuracy of Spectral reconstruction based on the pseudo-inversemethod, Wiener estimation method, OMP algorithm, and DOMP algorithm is compared by simulation onthe MATLAB platform and experimental testing. The result is that spectral-reconstruction accuracy basedon the DOMP algorithm is higher than for the other three methods. The root-mean-square error and colordifference decreases with an increasing number of principal components. The reconstruction error decreasesas the number of iterations increases. Spectral reconstruction based on the DOMP algorithm can improvethe accuracy of color-information replication effectively, and high-accuracy color-information reproductioncan be realized.

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        Tight Focusing Characteristics of Circularly Polarized Bessel-Gauss Beams with Fractional-order Vortex Modulation

        Lingyu Wang,Yu Miao,Mingzhu Xu,Xiumin Gao 한국광학회 2023 Current Optics and Photonics Vol.7 No.2

        Radially polarized beams with the ability to generate a sub-wavelength sized spot in a longitudinal field provides significant applications in microscopic imaging, optical tweezers, lithography and so on. However, this excellent property can also be achieved based on conventional circularly polarized beams. Here, we demonstrate its ability to create a strong longitudinal field by comparing the tight focusing characteristics of fractional-order vortex modulated radial polarized and left-handed circular polarized Bessel-Gauss beams. Additionally, the possibility of generating arbitrary fractional-order vortex modulated Bessel-Gauss beams with a strong longitudinal field is demonstrated. A special modulation method of left-handed circularly polarized Bessel-Gauss beams modulated by a fractional-order vortex is adopted creatively and a series of regulation laws are obtained. Specifically, the fractional-order phase modulation parameter n can accurately control the number of optical lobes. The ratio of the pupil radius to the incident beam waist β 1 can control the radius of the optical lobes. The first-order Bessel function amplitude modulation parameter β 2 can control the number of layers of optical lobes. This work not only adds a new modulation method for optical micromanipulation and optical communication, but also enriches the research on fractional vortex beams which has very important academic significance.

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