Diffraction by gratings: from C-method to Stochastic C-method - Archive ouverte HAL
Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2024

Diffraction by gratings: from C-method to Stochastic C-method

Jean Chandezon
  • Fonction : Auteur
  • PersonId : 1009186

Résumé

The Chandezon, or C-method, is an efficient and versatile numerical method for modeling diffraction problems involving smooth surface relief gratings. For some grating profiles, the C-method is limited when the height-to-period ratio exceeds a factor of 3. This is due to the formation of ill-conditioned matrices for inversion. Here, the Stochastic C-method (SCM) is introduced as a solution that leverages stochastic differential equations to overcome these numerical difficulties. The SCM is developed by altering the physical model of the grating profile function to include an additive Brownian noise compo- nent. Including noise dramatically expands the applicability of the C-method and enriches the physical model. Numerical experiments show that the SCM achieves a precision on the order of 10 − 5 for diffracted/transmitted amplitudes on sinusoidal profiles with height-to-period ratios as high as 72. These results are in agreement with those obtained using multi-precision and the Rigorous Coupled Wave Analysis (RCWA).
Fichier principal
Vignette du fichier
7011739-5.pdf (820.79 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04642756 , version 1 (10-07-2024)

Identifiants

Citer

Jean Chandezon, Gérard Granet. Diffraction by gratings: from C-method to Stochastic C-method. Journal of the Optical Society of America. A Optics, Image Science, and Vision, In press, ⟨10.1364/ao.XX.XXXXXX⟩. ⟨hal-04642756⟩
22 Consultations
37 Téléchargements

Altmetric

Partager

More