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    Rights statement: This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Optics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:10.1088/2040-8986/aaa0fc

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Uni-directional optical pulses, temporal propagation, and spatial and temporal dispersion

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Uni-directional optical pulses, temporal propagation, and spatial and temporal dispersion. / Kinsler, Paul.
In: Journal of Optics, Vol. 20, No. 2, 025502, 12.01.2018.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Kinsler P. Uni-directional optical pulses, temporal propagation, and spatial and temporal dispersion. Journal of Optics. 2018 Jan 12;20(2):025502. Epub 2017 Dec 12. doi: 10.1088/2040-8986/aaa0fc

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@article{bb1c483b9a4f4405baacb5df0f18519b,
title = "Uni-directional optical pulses, temporal propagation, and spatial and temporal dispersion",
abstract = "I derive a temporally propagated uni-directional optical pulse equation valid in the few cycle limit. Temporal propagation is advantageous because it naturally preserves causality, unlike the competing spatially propagated models. The exact coupled bi-directional equations that this approach generates can be efficiently approximated down to a uni-directional form in cases where an optical pulse changes little over one optical cycle. They also permit a direct term-to-term comparison of the exact bi-directional theory with its corresponding approximate uni-directional theory. Notably, temporal propagation handles dispersion in a different way, and this difference serves to highlight existing approximations inherent in spatially propagated treatments of dispersion. Accordingly, I emphasise the need for future work in clarifying the limitations of the dispersion conversion required by these types of approaches; since the only alternative in the few cycle limit may be to resort to the much more computationally intensive full Maxwell equationsolvers. ",
keywords = "optics, Pulse propagation, dispersion, unidirectional",
author = "Paul Kinsler",
note = "This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Optics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:10.1088/2040-8986/aaa0fc",
year = "2018",
month = jan,
day = "12",
doi = "10.1088/2040-8986/aaa0fc",
language = "English",
volume = "20",
journal = "Journal of Optics",
issn = "2040-8978",
publisher = "IOP Publishing Ltd.",
number = "2",

}

RIS

TY - JOUR

T1 - Uni-directional optical pulses, temporal propagation, and spatial and temporal dispersion

AU - Kinsler, Paul

N1 - This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Optics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at doi:10.1088/2040-8986/aaa0fc

PY - 2018/1/12

Y1 - 2018/1/12

N2 - I derive a temporally propagated uni-directional optical pulse equation valid in the few cycle limit. Temporal propagation is advantageous because it naturally preserves causality, unlike the competing spatially propagated models. The exact coupled bi-directional equations that this approach generates can be efficiently approximated down to a uni-directional form in cases where an optical pulse changes little over one optical cycle. They also permit a direct term-to-term comparison of the exact bi-directional theory with its corresponding approximate uni-directional theory. Notably, temporal propagation handles dispersion in a different way, and this difference serves to highlight existing approximations inherent in spatially propagated treatments of dispersion. Accordingly, I emphasise the need for future work in clarifying the limitations of the dispersion conversion required by these types of approaches; since the only alternative in the few cycle limit may be to resort to the much more computationally intensive full Maxwell equationsolvers.

AB - I derive a temporally propagated uni-directional optical pulse equation valid in the few cycle limit. Temporal propagation is advantageous because it naturally preserves causality, unlike the competing spatially propagated models. The exact coupled bi-directional equations that this approach generates can be efficiently approximated down to a uni-directional form in cases where an optical pulse changes little over one optical cycle. They also permit a direct term-to-term comparison of the exact bi-directional theory with its corresponding approximate uni-directional theory. Notably, temporal propagation handles dispersion in a different way, and this difference serves to highlight existing approximations inherent in spatially propagated treatments of dispersion. Accordingly, I emphasise the need for future work in clarifying the limitations of the dispersion conversion required by these types of approaches; since the only alternative in the few cycle limit may be to resort to the much more computationally intensive full Maxwell equationsolvers.

KW - optics

KW - Pulse propagation

KW - dispersion

KW - unidirectional

U2 - 10.1088/2040-8986/aaa0fc

DO - 10.1088/2040-8986/aaa0fc

M3 - Journal article

VL - 20

JO - Journal of Optics

JF - Journal of Optics

SN - 2040-8978

IS - 2

M1 - 025502

ER -