Please use this identifier to cite or link to this item: https://doi.org/10.1080/09500340512331323439
Title: The numerical integration of fundamental diffraction integrals for converging polarized spherical waves using a two-dimensional form of Simpson's 1/3 rule
Authors: Cooper, I.J.
Sheppard, C.J.R. 
Roy, M.
Issue Date: 20-May-2005
Source: Cooper, I.J., Sheppard, C.J.R., Roy, M. (2005-05-20). The numerical integration of fundamental diffraction integrals for converging polarized spherical waves using a two-dimensional form of Simpson's 1/3 rule. Journal of Modern Optics 52 (8) : 1123-1134. ScholarBank@NUS Repository. https://doi.org/10.1080/09500340512331323439
Abstract: A comprehensive matrix method based upon a two-dimensional form of Simpson's 1/3 rule (2DSC method) to integrate numerically the vector form of the fundamental diffraction integrals is described for calculating the characteristics of the focal region for a converging polarized spherical wave. The only approximation needed in using the 2DSC method is the Kirchhoff boundary conditions at the aperture. The 2DSC method can be used to study the focusing of vector beams with different polarizations and profiles and for different filters over a large range of numerical apertures or Fresnel numbers. © 2005 Taylor & Francis Group Ltd.
Source Title: Journal of Modern Optics
URI: http://scholarbank.nus.edu.sg/handle/10635/67317
ISSN: 09500340
DOI: 10.1080/09500340512331323439
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