LQG control of an optical squeezer

S. Z.Sayed Hassen; I. R. Petersen; E. H. Huntington; M. Heurs; M. R. James

doi:10.1109/acc.2010.5531637

LQG control of an optical squeezer

S. Z.Sayed Hassen, I. R. Petersen, E. H. Huntington, M. Heurs, M. R. James

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

12 Citations (Scopus)

Abstract

In this paper, we consider the application of linear quadratic Gaussian (LQG) control to the problem of optimizing the level of squeezing in one of the quadratures of an optical field. Squeezed states of light can be generated when two optical fields (at fundamental and second-harmonic frequencies) interact in an optical cavity in the presence of a second-order nonlinear crystal. Our system is an optical squeezer which is modelled as a nonlinear quantum system. Suitable models for the quantum and classical noises present in the system are used and laser phase noise which arises due to mechanical vibration of the mirror(s) in the beam path is modeled as (approximately) integrated white noise. An LQG controller is synthesized and the closed loop system is simulated to validate our design.

Original language	English
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Publisher	IEEE Computer Society
Pages	2730-2735
Number of pages	6
ISBN (Print)	9781424474264
DOIs	https://doi.org/10.1109/acc.2010.5531637
Publication status	Published - 2010

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Name	Proceedings of the 2010 American Control Conference, ACC 2010

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10.1109/acc.2010.5531637

Cite this

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title = "LQG control of an optical squeezer",

abstract = "In this paper, we consider the application of linear quadratic Gaussian (LQG) control to the problem of optimizing the level of squeezing in one of the quadratures of an optical field. Squeezed states of light can be generated when two optical fields (at fundamental and second-harmonic frequencies) interact in an optical cavity in the presence of a second-order nonlinear crystal. Our system is an optical squeezer which is modelled as a nonlinear quantum system. Suitable models for the quantum and classical noises present in the system are used and laser phase noise which arises due to mechanical vibration of the mirror(s) in the beam path is modeled as (approximately) integrated white noise. An LQG controller is synthesized and the closed loop system is simulated to validate our design.",

author = "Hassen, {S. Z.Sayed} and Petersen, {I. R.} and Huntington, {E. H.} and M. Heurs and James, {M. R.}",

year = "2010",

doi = "10.1109/acc.2010.5531637",

language = "English",

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LQG control of an optical squeezer. / Hassen, S. Z.Sayed; Petersen, I. R.; Huntington, E. H. et al.
Proceedings of the 2010 American Control Conference, ACC 2010. IEEE Computer Society, 2010. p. 2730-2735 5531637 (Proceedings of the 2010 American Control Conference, ACC 2010).

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

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T1 - LQG control of an optical squeezer

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AU - Petersen, I. R.

AU - Huntington, E. H.

AU - Heurs, M.

AU - James, M. R.

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N2 - In this paper, we consider the application of linear quadratic Gaussian (LQG) control to the problem of optimizing the level of squeezing in one of the quadratures of an optical field. Squeezed states of light can be generated when two optical fields (at fundamental and second-harmonic frequencies) interact in an optical cavity in the presence of a second-order nonlinear crystal. Our system is an optical squeezer which is modelled as a nonlinear quantum system. Suitable models for the quantum and classical noises present in the system are used and laser phase noise which arises due to mechanical vibration of the mirror(s) in the beam path is modeled as (approximately) integrated white noise. An LQG controller is synthesized and the closed loop system is simulated to validate our design.

AB - In this paper, we consider the application of linear quadratic Gaussian (LQG) control to the problem of optimizing the level of squeezing in one of the quadratures of an optical field. Squeezed states of light can be generated when two optical fields (at fundamental and second-harmonic frequencies) interact in an optical cavity in the presence of a second-order nonlinear crystal. Our system is an optical squeezer which is modelled as a nonlinear quantum system. Suitable models for the quantum and classical noises present in the system are used and laser phase noise which arises due to mechanical vibration of the mirror(s) in the beam path is modeled as (approximately) integrated white noise. An LQG controller is synthesized and the closed loop system is simulated to validate our design.

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M3 - Conference contribution

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EP - 2735

BT - Proceedings of the 2010 American Control Conference, ACC 2010

PB - IEEE Computer Society

ER -

LQG control of an optical squeezer

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