Numerical simulation of optically trapped particles

Volpe, Giorgio; Volpe, Giovanni

doi:10.1117/12.2070777

“…11. The Brownian motion is given by the generalized differential equation (Volpe and Volpe, 2013;Amari et al, 2013Amari et al, , 2014…”

Section: Receiving Aperture Modelmentioning

confidence: 99%

“…The discrete-time state space of the receiving aperture model is derived from the discretized particle Brownian motion (5). It is given as follows (Volpe and Volpe, 2013;Amari et al, 2013Amari et al, , 2014)…”

Section: Receiving Aperture Modelmentioning

confidence: 99%

Reduction of the beam pointing error for improved free-space optical communication link performance

Ndoye

¹

,

Cai

²

,

Alalwan

³

et al. 2021

IFAC Journal of Systems and Control

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Free-space optical communication is emerging as a low-power, low-cost, and high data rate alternative to radio-frequency communication in short-to medium-range applications. However, it requires a close-to-line-of-sight link between the transmitter and the receiver. This paper proposes a robust H ∞ control law for free-space optical (FSO) beam pointing error systems under controlled weak turbulence conditions. The objective is to maintain the transmitter-receiver line, which means the center of the optical beam as close as possible to the center of the receiving aperture within a prescribed disturbance attenuation level. First, we derive an augmented nonlinear discrete-time model for pointing error loss due to misalignment caused by weak atmospheric turbulence. We then investigate the H ∞ -norm optimization problem that guarantees the closed-loop pointing error is stable and ensures the prescribed weak disturbance attenuation. Furthermore, we evaluate the closed-loop outage probability error and bit error rate (BER) that quantify the free-space optical communication performance in fading channels. Finally, the paper concludes with a numerical simulation of the proposed approach to the FSO link's error performance.Keywords Free-space optical (FSO) communications • H ∞ pointing error control • Weak turbulence • Lognormal distribution • Linear Matrix Inequality (LMI).

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“…The discrete-time state space of the receiving aperture model ( 3) is derived from the discretized particle Brownian motion (15). It is given as follows [14], [29], [30] x…”

Section: Numerical Simulationsmentioning

confidence: 99%

Robust <tex>$\mathcal{H}_{\infty}$</tex> Pointing Error Control of Free Space Optical Communication Systems

Cai

¹

,

Ndoye

²

,

Sun

³

et al. 2018

2018 IEEE Conference on Control Technology and Applications (CCTA)

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This paper proposes a robust H∞ approach for free space optical (FSO) beam pointing error systems. First, a deterministic discrete-time model for pointing error loss due to misalignment is presented. This model considers detector aperture size and optical beam width. Then, the control problem that guarantees the stability of the closed-loop pointing error and the attenuation of the disturbance is investigated through a robust H∞ control framework. Finally, simulation results of the FSO link under the effects of a controlled weak turbulence condition are performed to demonstrate the feasibility of the proposed robust pointing error approach.

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Reduction of the Beam Pointing Error for Improved Free-Space Optical Communication Link Performance

Ndoye

¹

,

Cai

²

,

Alalwan

³

et al. 2021

Preprint

0

View full text Add to dashboard Cite

Free-space optical communication is emerging as a low-power, low-cost, and high data rate alternative to radio-frequency communication in short-to medium-range applications. However, it requires a close-to-line-of-sight link between the transmitter and the receiver. This paper proposes a robust H ∞ control law for free-space optical (FSO) beam pointing error systems under controlled weak turbulence conditions. The objective is to maintain the transmitter-receiver line, which means the center of the optical beam as close as possible to the center of the receiving aperture within a prescribed disturbance attenuation level. First, we derive an augmented nonlinear discrete-time model for pointing error loss due to misalignment caused by weak atmospheric turbulence. We then investigate the H ∞ -norm optimization problem that guarantees the closed-loop pointing error is stable and ensures the prescribed weak disturbance attenuation. Furthermore, we evaluate the closed-loop outage probability error and bit error rate (BER) that quantify the free-space optical communication performance in fading channels. Finally, the paper concludes with a numerical simulation of the proposed approach to the FSO link's error performance.Keywords Free-space optical (FSO) communications • H ∞ pointing error control • Weak turbulence • Lognormal distribution • Linear Matrix Inequality (LMI).

show abstract

Numerical simulation of optically trapped particles

Cited by 2 publications

References 31 publications

Reduction of the beam pointing error for improved free-space optical communication link performance

Reduction of the beam pointing error for improved free-space optical communication link performance

Robust <tex>$\mathcal{H}_{\infty}$</tex> Pointing Error Control of Free Space Optical Communication Systems

Reduction of the Beam Pointing Error for Improved Free-Space Optical Communication Link Performance

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