Propagation of fully coherent and partially coherent complex scalar fields in aberration space

Paganin, D, Petersen, T and Beltran, M 2018, 'Propagation of fully coherent and partially coherent complex scalar fields in aberration space', Physical Review A, vol. 97, no. 2, pp. 1-14.


Document type: Journal Article
Collection: Journal Articles

Title Propagation of fully coherent and partially coherent complex scalar fields in aberration space
Author(s) Paganin, D
Petersen, T
Beltran, M
Year 2018
Journal name Physical Review A
Volume number 97
Issue number 2
Start page 1
End page 14
Total pages 14
Publisher American Physical Society
Abstract We consider the propagation of both fully coherent and partially coherent complex scalar fields, through linear shift-invariant imaging systems. The state of such imaging systems is characterized by a countable infinity of aberration coefficients, the values for which can be viewed as coordinates for an infinity of orthogonal axes that span the aberration space into which the output propagates. For fully coherent complex scalar disturbances, we study the propagation of the field through the imaging system, while for partially coherent disturbances it is the two-point correlation functions whose propagation we study. For both systems we write down generalized propagators in both real and Fourier space, differential equations for evolution through aberration space, transport equations, and Hamilton-Jacobi equations. A generalized form of the Wolf equations is a special case of our formalism.
Subject Physical Sciences not elsewhere classified
DOI - identifier 10.1103/PhysRevA.97.023835
Copyright notice © 2018 American Physical Society
ISSN 2469-9926
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