Multistep method for wide-angle beam propagation

A new beam-propagation method is presented whereby the Padé approximant wide-angle propagation operator is factored into a series of simpler Padé (1, 1) operators, thus leading naturally to a multistep method whose component steps are each solvable by using readily available paraxiallike solution te...

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Bibliographic Details
Published in:Optics letters 1992-12, Vol.17 (24), p.1743-1745
Main Author: HADLEY, G. R
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optics
Physics
Wave optics
Wave propagation, transmission and absorption
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Summary:A new beam-propagation method is presented whereby the Padé approximant wide-angle propagation operator is factored into a series of simpler Padé (1, 1) operators, thus leading naturally to a multistep method whose component steps are each solvable by using readily available paraxiallike solution techniques. The resulting method allows accurate approximations to true Helmholtz propagation while incurring only a modest numerical penalty. In addition, the tridiagonal form of the component steps allows the straightforward use of the previously reported transparent boundary condition.
ISSN:0146-9592
1539-4794
DOI:10.1364/ol.17.001743