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Article Dans Une Revue Optics Express Année : 2023

Fraunhofer diffraction at the two-dimensional quadratically distorted (QD) grating

Yuewei Liu
  • Fonction : Auteur
Zhengkun Liu
  • Fonction : Auteur
François Hénault
  • Fonction : Auteur
Antonio Ortiz
  • Fonction : Auteur
Yan Feng
  • Fonction : Auteur correspondant
  • PersonId : 1322972

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Résumé

A two-dimensional (2D) mathematical model of quadratically distorted (QD) grating is established with the principles of Fraunhofer diffraction and Fourier optics. A discrete sampling method is applied for finding a numerical solution of the diffraction pattern of QD grating. An optimized working phase term, which determines the balanced energies and high efficiency of multi-plane images, can be obtained by the bisection algorithm. To confirm the analytical approach described above, the results have been compared with those obtained using a classical numerical model based on Fraunhofer diffraction theory and a fast Fourier transform (FFT) algorithm. The results show that our analytical approach allows the precise design of QD grating and improves the optical performance of simultaneous multi-plane imaging system. An optical setup based on our well-designed QD grating has been appended to the camera port of a commercial microscope, and some preliminary microscopy images have been successfully obtained. Further upgrade of our analytical model is in progress to improve the image quality and promote the applications.

Dates et versions

hal-04337891 , version 1 (12-12-2023)

Identifiants

Citer

Yuewei Liu, Zhengkun Liu, François Hénault, Antonio Ortiz, Monique Frain, et al.. Fraunhofer diffraction at the two-dimensional quadratically distorted (QD) grating. Optics Express, 2023, 31 (26), pp.43522. ⟨10.1364/OE.502016⟩. ⟨hal-04337891⟩
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