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Abstract <p>It is theoretically shown that a layered structure possessing a reflection zero allows the optical computation of the second-order mixed derivative of the profile of a linearly polarized incident beam with respect to spatial coordinates. The derivative is computed at normal incidence in the cross-polarized component of the reflected beam. The presented design and numerical simulations results of a layered structure demonstrate that high-quality computation of the second-order mixed derivative is possible, and such a structure can be used for optical detection of corners and edges in an image.</p>

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Optical Computation of a Second-Order Mixed Derivative Using a Layered Structure

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • A. I. Kashapov,
  • E. A. Bezus,
  • D. A. Bykov,
  • L. L. Doskolovich

摘要

Abstract

It is theoretically shown that a layered structure possessing a reflection zero allows the optical computation of the second-order mixed derivative of the profile of a linearly polarized incident beam with respect to spatial coordinates. The derivative is computed at normal incidence in the cross-polarized component of the reflected beam. The presented design and numerical simulations results of a layered structure demonstrate that high-quality computation of the second-order mixed derivative is possible, and such a structure can be used for optical detection of corners and edges in an image.