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Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

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Self-similar focusing with generalized devil's lenses.

Cristina Casanova¹, Walter D Furlan, Laura Remón

¹Departamento de Óptica, Universidad de Valencia, E-46100 Burjasstot, Valencia, Spain.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|February 5, 2011

Summary

Researchers developed generalized devil's lenses (GDLs), a new type of diffractive kinoform lens based on the generalized Cantor set. These GDLs create a main focus with numerous subsidiary foci, offering enhanced focusing capabilities compared to conventional lenses.

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Area of Science:

Optics and Photonics
Diffractive Optics
Nanophotonics

Background:

Diffractive optical elements (DOEs) are crucial for manipulating light.
Devil's lenses, a type of DOE, exhibit unique focusing properties.
Exploring novel DOE designs can lead to advanced optical functionalities.

Purpose of the Study:

Introduce a new family of diffractive kinoform lenses: generalized devil's lenses (GDLs).
Analyze the focusing properties of GDLs based on the generalized Cantor set.
Compare the focusing characteristics of GDLs with conventional devil's lenses.

Main Methods:

Design of GDLs utilizing the generalized Cantor set.
Analysis of focusing properties under plane wave illumination.
Characterization of axial irradiance and subsidiary foci distribution.

Main Results:

GDLs produce a single main focus surrounded by multiple subsidiary foci.
The number of subsidiary foci in GDLs exceeds that of conventional devil's lenses.
The self-similar behavior of axial irradiance is partially maintained in GDLs.

Conclusions:

GDLs represent a novel class of diffractive lenses with tunable focusing characteristics.
The increased number of subsidiary foci offers potential for new optical applications.
Further research can explore the precise control and applications of GDLs' focusing patterns.