Focal field computation of an arbitrarily polarized beam using fast Fourier transforms

In this work the vectorial diffraction theory of Richards and Wolf is extended to compute the focal field components of an arbitrarily polarized beam using fast Fourier transform (FFT) operations. Here the arbitrarily polarized pupil function is written as the vector sum of two mutually perpendicula...

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Bibliographic Details
Published in:Optics communications 2009-12, Vol.282 (24), p.4660-4667
Main Authors: Boruah, B.R., Neil, M.A.A.
Format: Article
Language:English
Subjects:
Aberration
Aberrations
Beam characteristics: profile, intensity, and power
spatial pattern formation
Cylindrical-vector beam
Diffraction and scattering
Exact sciences and technology
Fast Fourier transform
Fundamental areas of phenomenology (including applications)
Geometrical optics
Laser optical systems: design and operation
Optics
Physics
Point spread function
Vectorial diffraction theory
Wave optics
Wave propagation, transmission and absorption
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Summary:In this work the vectorial diffraction theory of Richards and Wolf is extended to compute the focal field components of an arbitrarily polarized beam using fast Fourier transform (FFT) operations. Here the arbitrarily polarized pupil function is written as the vector sum of two mutually perpendicularly polarized pupil functions. The FFT based focal field expressions are particularly useful to compute the focal field components of pupil functions without a simple analytical form. We have then applied these expressions to simulate the effects of Zernike mode aberrations on the point spread functions of a number of important cylindrical-vector beam profiles such as radially and azimuthally polarized and helical light beams.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2009.09.019