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    <responseDate>2026-10-13T16:12:36Z</responseDate>
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    <identifier>10.57760/sciencedb.35446</identifier>
    <datestamp>2026-01-16T14:33:32Z</datestamp>
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  <dc:date>2026-01-16</dc:date>
  <dc:title>High Precision Focus Error Detection Technology Based on the Astigmatic Method</dc:title>
  <dc:identifier>doi:10.57760/sciencedb.35446</dc:identifier>
  <dc:language>en</dc:language>
  <dc:description>To improve the detection accuracy of astigmatism-based defocus detection systems, it is crucial to enhance the stability of the four-quadrant detector output signal. This study proposes a joint filtering method that integrates Kalman filtering with wavelet threshold denoising to suppress signal disturbances. Kalman filtering is first employed to mitigate low-frequency fluctuations, after which wavelet threshold denoising is applied to reduce the high-frequency residual errors introduced by the Kalman filter. This combination achieves effective suppression of both low- and high-frequency interferences. Experimental results show that the joint filtering method reduces the root-mean-square error and peak-to-peak error of the acquired signal by more than 70%, significantly improving signal stability. The minimum resolvable displacement is improved from 88 nm to 38 nm, corresponding to a 56.8% increase in detection accuracy. Compared with conventional methods, the proposed digital filtering strategy not only simplifies the optical system but also enhances the robustness and accuracy of signal acquisition.</dc:description>
  <dc:subject>defocus detection; astigmatism method; kalman filter; wavelet threshold denoising; joint filtering</dc:subject>
  <dc:creator>zhang</dc:creator>
  <dc:creator>Ruan Hao</dc:creator>
  <dc:creator>Zhao Miao</dc:creator>
  <dc:creator>Tian Geng</dc:creator>
  <dc:rights>PUBLIC</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by-nc-nd/4.0/</dc:rights>
  <dc:type>dataset</dc:type>
  <dc:publisher>Science Data Bank</dc:publisher>
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