Optical eigenmode description of partially coherent light fields

Michael Mazilu

doi:10.1117/12.2507901

Optical eigenmode description of partially coherent light fields

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Optical eigenmodes describe coherent solutions of Maxwells equations that are orthogonal to each other. These modes form a natural basis set of the electromagnetic Hilbert space that can be used to describe optical scattering interactions in a simple way. Many of the properties defined in quantum mechanics can formally be found in the optical eigenmodes framework. For example, the Hilbert spaces defined by two different scattering operators are separable only if the two operators commute with each other. Here, we expand the optical eigenmode framework to partially coherent light fields. In this case, we remark that the eigenmode decomposition of partially coherent fields leads to a formalism similar to the density matrix formalism used in quantum mechanics.

Original language	English
Title of host publication	Complex Light and Optical Forces XIII
Editors	Jesper Glückstad, David L. Andrews, Enrique J. Galvez
Publisher	Society of Photo-Optical Instrumentation Engineers
Chapter	1093508
Number of pages	7
DOIs	https://doi.org/10.1117/12.2507901
Publication status	Published - 4 Mar 2019
Event	Complex Light and Optical Forces XIII (SPIE OPTO) - Moscone Center, San Francisco, United States Duration: 2 Feb 2019 → 7 Feb 2019 Conference number: 10935 https://spie.org/PWO/conferencedetails/complex-light-and-optical-forces?SSO=1#2508300

Publication series

Name	Proceedings of SPIE
Publisher	Society of Photo-optical Instrumentation Engineers
Volume	10935
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Complex Light and Optical Forces XIII (SPIE OPTO)
Abbreviated title	SPIE OPTO
Country/Territory	United States
City	San Francisco
Period	2/02/19 → 7/02/19
Internet address	https://spie.org/PWO/conferencedetails/complex-light-and-optical-forces?SSO=1#2508300

Keywords

Optical eigenmodes
Partial coherence

Access to Document

10.1117/12.2507901

Mazilu-2019-Optical-eigenmode-SPIE-1093508
© 2019, SPIE. This work has been made available online in accordance with the publisher's policies. This is the final published version of the work, which was originally published at https://doi.org/10.1117/12.2507901
Final published version, 2.29 MB

Cite this

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title = "Optical eigenmode description of partially coherent light fields",

abstract = "Optical eigenmodes describe coherent solutions of Maxwells equations that are orthogonal to each other. These modes form a natural basis set of the electromagnetic Hilbert space that can be used to describe optical scattering interactions in a simple way. Many of the properties defined in quantum mechanics can formally be found in the optical eigenmodes framework. For example, the Hilbert spaces defined by two different scattering operators are separable only if the two operators commute with each other. Here, we expand the optical eigenmode framework to partially coherent light fields. In this case, we remark that the eigenmode decomposition of partially coherent fields leads to a formalism similar to the density matrix formalism used in quantum mechanics.",

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booktitle = "Complex Light and Optical Forces XIII",

note = "Complex Light and Optical Forces XIII (SPIE OPTO), SPIE OPTO ; Conference date: 02-02-2019 Through 07-02-2019",

url = "https://spie.org/PWO/conferencedetails/complex-light-and-optical-forces?SSO=1#2508300",

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Mazilu, M 2019, Optical eigenmode description of partially coherent light fields. in J Glückstad, DL Andrews & EJ Galvez (eds), Complex Light and Optical Forces XIII. Proceedings of SPIE, vol. 10935, Society of Photo-Optical Instrumentation Engineers, Complex Light and Optical Forces XIII (SPIE OPTO), San Francisco, California, United States, 2/02/19. https://doi.org/10.1117/12.2507901

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N2 - Optical eigenmodes describe coherent solutions of Maxwells equations that are orthogonal to each other. These modes form a natural basis set of the electromagnetic Hilbert space that can be used to describe optical scattering interactions in a simple way. Many of the properties defined in quantum mechanics can formally be found in the optical eigenmodes framework. For example, the Hilbert spaces defined by two different scattering operators are separable only if the two operators commute with each other. Here, we expand the optical eigenmode framework to partially coherent light fields. In this case, we remark that the eigenmode decomposition of partially coherent fields leads to a formalism similar to the density matrix formalism used in quantum mechanics.

AB - Optical eigenmodes describe coherent solutions of Maxwells equations that are orthogonal to each other. These modes form a natural basis set of the electromagnetic Hilbert space that can be used to describe optical scattering interactions in a simple way. Many of the properties defined in quantum mechanics can formally be found in the optical eigenmodes framework. For example, the Hilbert spaces defined by two different scattering operators are separable only if the two operators commute with each other. Here, we expand the optical eigenmode framework to partially coherent light fields. In this case, we remark that the eigenmode decomposition of partially coherent fields leads to a formalism similar to the density matrix formalism used in quantum mechanics.

KW - Optical eigenmodes

KW - Partial coherence

U2 - 10.1117/12.2507901

DO - 10.1117/12.2507901

M3 - Conference contribution

T3 - Proceedings of SPIE

BT - Complex Light and Optical Forces XIII

A2 - Glückstad, Jesper

A2 - Andrews, David L.

A2 - Galvez, Enrique J.

PB - Society of Photo-Optical Instrumentation Engineers

T2 - Complex Light and Optical Forces XIII (SPIE OPTO)

Y2 - 2 February 2019 through 7 February 2019

ER -

Optical eigenmode description of partially coherent light fields

Abstract

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Conference

Keywords

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