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Diffraction theory of Fresnel lenses encoded in low-resolution devices
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A mathematical model that describes the behavior of low-resolution Fresnel lenses encoded in any low-resolution device (e.g., a spatial light modulator) is developed. The effects of low-resolution codification, such the appearance of new secondary lenses, are studied for a general case. General expressions for the phase of these lenses are developed, showing that each lens behaves as if it were encoded through all pixels of the low-resolution device. Simple expressions for the light distribution in the focal plane and its dependence on the encoded focal length are developed and commented on in detail. For a given codification device an optimum focal length is found for best lens performance. An optimization method for codification of a single lens with a short focal length is proposed.
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CARCOLÉ I CARRUBÉ, Eduard, BOSCH I PUIG, Salvador and CAMPOS COLOMA, Juan. Diffraction theory of Fresnel lenses encoded in low-resolution devices. Applied Optics. 1994. Vol. 33, num. 2, pags. 162-174. ISSN 0003-6935. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/24282