Phase-Space Propagator for Partially Coherent Wave Fields in the Spatial Domain

Fuente: arXiv
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Autores principales: Rogers, Jake J., Tran, Chanh Q., Kirk, Tony, Di Pasquale, Paul, Dao, Hong Minh, Bowman, Pierce
Formato: Preprint
Publicado: 2024
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author Rogers, Jake J.
Tran, Chanh Q.
Kirk, Tony
Di Pasquale, Paul
Dao, Hong Minh
Bowman, Pierce
author_facet Rogers, Jake J.
Tran, Chanh Q.
Kirk, Tony
Di Pasquale, Paul
Dao, Hong Minh
Bowman, Pierce
contents The propagation of wave fields and their interactions with matter are important for established and emerging fields in optical sciences. Efficient methods for predicting such behaviour have been employed routinely for coherent sources. However, most real world optical systems exhibit partial coherence, for which the present mathematical description involves high dimensional complex functions and hence poses challenges for numerical implementations. This demands significant computational resources to determine the properties of partially coherent wavefields. Here, we describe the novel Phase-Space (PS) propagator, an efficient and self-consistent technique for free space propagation of wave fields which are partially coherent in the spatial domain. The PS propagator makes use of the fact that the propagation of a wave field in free space is equivalent to a shearing of the corresponding PSD function. Computationally, this approach is simpler and the need for using different propagation methods for near and far-field regions is removed.
format Preprint
id arxiv_https___arxiv_org_abs_2410_10049
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase-Space Propagator for Partially Coherent Wave Fields in the Spatial Domain
Rogers, Jake J.
Tran, Chanh Q.
Kirk, Tony
Di Pasquale, Paul
Dao, Hong Minh
Bowman, Pierce
Optics
Computational Physics
The propagation of wave fields and their interactions with matter are important for established and emerging fields in optical sciences. Efficient methods for predicting such behaviour have been employed routinely for coherent sources. However, most real world optical systems exhibit partial coherence, for which the present mathematical description involves high dimensional complex functions and hence poses challenges for numerical implementations. This demands significant computational resources to determine the properties of partially coherent wavefields. Here, we describe the novel Phase-Space (PS) propagator, an efficient and self-consistent technique for free space propagation of wave fields which are partially coherent in the spatial domain. The PS propagator makes use of the fact that the propagation of a wave field in free space is equivalent to a shearing of the corresponding PSD function. Computationally, this approach is simpler and the need for using different propagation methods for near and far-field regions is removed.
title Phase-Space Propagator for Partially Coherent Wave Fields in the Spatial Domain
topic Optics
Computational Physics
url https://arxiv.org/abs/2410.10049