Abstract
Near 100% of diffractive efficiency for diffractive optical elements (DOEs) is one of the most required optical performances in broadband imaging applications. Of all flat DOEs, none seems to interest researchers as much as Two-Materials Composed Diffractive Fresnel Lens (TM-DFL) among the most promising flat DOEs. An approach of the near 100% of diffractive efficiency for TM-DFL once developed to determine the design rules mainly takes the advantage of numerical computation by methods of mapping and fitting. Despite a curved line of near 100% of diffractive efficiency can be generated in the Abbe and partial dispersion diagram, it is not able to analytically elaborate the relationship between two optical materials that compose the TM-DFL. Here, we present a theoretical framework, based on the fundaments of Cauchy's equation, Abbe number, partial dispersion, and the diffraction theory of Fresnel lens, for obtaining a general design formalism, so to perform the perfect material matching between two different optical materials for achieving the near 100% of diffractive efficiency for TM-DFL in the broadband imaging applications.
Highlights
Near 100% of diffractive efficiency for diffractive optical elements (DOEs) is one of the most required optical performances in broadband imaging applications
The maximum achieved diffractive efficiency can be found at η = ~ 99.1%, n d,2 = 1.7, vd,2 = 18.4 for the Abbe characteristic curves, and η = ~ 99.9%, vd,2 = 15.2, Pg,F,2 = 0.3 for the partial dispersion characteristic curves
There are two Abbe characteristic curves on the same Abbe diagram shown in Fig. 5a, where the green solid line is our result guaranteed by the near 100% diffractive efficiency at each point on the curve while the yellow dotted line is the fitting result of above-mentioned r esearch[26]
Summary
Near 100% of diffractive efficiency for diffractive optical elements (DOEs) is one of the most required optical performances in broadband imaging applications. The same research team in 202026 proposed a design method of mapping and fitting based on the numerical computation for matching the material refractive index of TM-DFL to achieve the light diffractive efficiency higher than 99.9%.
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