Authors

T. G. Jabbour;S. M. Kuebler

Comments

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Abbreviated Journal Title

Opt. Express

Keywords

DIFFRACTIVE OPTICAL-ELEMENTS; FOURIER-TRANSFORM ALGORITHM; ITERATIVE; ALGORITHM; PHASE ELEMENTS; DESIGN; FIELD; REGULARIZATION; SHAPERS; SYSTEMS; Optics

Abstract

An algorithm is reported for the design of a phase-only diffractive optical element (DOE) that reshapes a beam focused using a high numerical aperture (NA) lens. The vector diffraction integrals are used to relate the field distributions in the DOE plane and focal plane. The integrals are evaluated using the chirp-z transform and computed iteratively within the Method of Generalized Projections (MGP) to identify a solution that simultaneously satisfies the beam shaping and DOE constraints. The algorithm is applied to design a DOE that transforms a circularly apodized flat-top beam of wavelength. to a square irradiance pattern when focused using a 1.4-NA objective. A DOE profile is identified that generates a 50 lambda x 50 lambda square irradiance pattern having 7% uniformity error and 74.5% diffraction efficiency (fraction of focused power). The diffraction efficiency and uniformity decrease as the size of the focused profile is reduced toward the diffraction limited spot size. These observations can be understood as a manifestation of the uncertainty principle.

Journal Title

Optics Express

Volume

16

Issue/Number

10

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

7203

Last Page

7213

WOS Identifier

WOS:000256469800046

ISSN

1094-4087

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