Relationship between the beam propagation method and linear canonical and fractional Fourier transforms

Date
2022
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Applied Optics
Print ISSN
1559-128X
Electronic ISSN
2155-3165
Publisher
Optica
Volume
61
Issue
34
Pages
10275 - 10282
Language
English
Journal Title
Journal ISSN
Volume Title
Series
Abstract

The beam propagation method (BPM) can be viewed as a chain of alternating convolutions and multiplications, as filtering operations alternately in the space and frequency domains or as multiplication operations sandwiched between linear canonical or fractional Fourier transforms. These structures provide alternative models of in homogeneous media and potentially allow mathematical tools and algorithms associated with these transforms to be applied to the BPM. As an example, in the case where quadratic approximation is possible, it is shown that the BPM can be represented as a single LCT system, leading to significantly faster computation of the output field.

Course
Other identifiers
Book Title
Keywords
Citation
Published Version (Please cite this version)