Stability analysis for a semiconductor laser in an external cavity

Tromborg, B.; Osmundsen, J.; Olesen, H.

doi:10.1109/jqe.1984.1072508

Cited by 225 publications

(94 citation statements)

References 23 publications

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“…The expressions for (Yth(W, N I ) and the refractive index n l ( U , NI ) in the active section are given in Appendix B. From (1 1) and (12) we obtain the separate frequency condition h(w) = 27rp, p integer (13) where N , ( w ) is the carrier density determined by (11). The hfunction is useful for analyzing the linewidth and stability properties of the modes [ l 13.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

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A theoretical model of multielectrode DBR lasers

Xing¹,

Olesen

Tromborg³

1988

IEEE J. Quantum Electron.

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Abstract-A theoretical model for two-and three-section tunable DBR lasers is presented. The static tuning properties are studied in terms of threshold current, linewidth, oscillation frequency, and output power. Regions of continuous tuning are presented for three-section DBR lasers. We discuss different routes for continuous tuning, when the injection currents to the passive sections are varied, and the limitations on the continuous tuning range are clarified. By proper control of these currents a tuning range of approximately 400 GHz is predicted at 1.55 pm wavelength, which is in good agreement with the experimental results published thus far.

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Section: Theoretical Backgroundmentioning

confidence: 99%

“…The resolution between the frethe mode is unstable. The relation between the frequency condition (13) and the linewidth is an observation [13] …”

Section: Theoretical Backgroundmentioning

confidence: 99%

A theoretical model of multielectrode DBR lasers

Xing¹,

Olesen

Tromborg³

1988

IEEE J. Quantum Electron.

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“…The stable condition for an LD containing an external cavity was previously derived by [24,28] based on L-K equations, as shown below:…”

Section: Stability Boundary Of An Smi Systemmentioning

confidence: 99%

Dynamic stability analysis for a self-mixing interferometry system

Fan

et al. 2014

Opt. Express

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A self-mixing interferometry (SMI) system is a laser diode (LD) with an external cavity formed by a moving external target. The behavior of an SMI system is governed by the injection current J to the LD and the parameters associated with the external cavity mainly including optical feedback factor C , the initial external cavity length ( L0 ) and the light phase (∅0) which is mapped to the movement of the target. In this paper, we investigate the dynamic behavior of an SMI system by using the Lang-Kobayashi model. The stability boundary of such system is presented in the plane of (C , ∅0), from which a critical C (denoted as Ccritical) is derived. Both simulations and experiments show that the stability can be enhanced by increasing either L0 or J . Furthermore, three regions on the plane of (C , ∅0) are proposed to characterize the behavior of an SMI system, including stable, semi-stable and unstable regions. We found that the existing SMI model is only valid for the stable region, and the semi-stable region has potential applications on sensing and measurement but needs remodeling the system by considering the bandwidth of the detection components. Abstract: A self-mixing interferometry (SMI) system is a laser diode (LD) with an external cavity formed by a moving external target. The behavior of an SMI system is governed by the injection current J to the LD and the parameters associated with the external cavity mainly including optical feedback factor C , the initial external cavity length ( 0 L ) and the light phase ( 0  ) which is mapped to the movement of the target. In this paper, we investigate the dynamic behavior of an SMI system by using the LangKobayashi model. The stability boundary of such system is presented in the plane of ( C , 0  ), from which a critical C (denoted as critical C ) is derived. Both simulations and experiments show that the stability can be enhanced by increasing either 0 L or J . Furthermore, three regions on the plane of ( C , 0  ) are proposed to characterize the behavior of an SMI system, including stable, semi-stable and unstable regions. We found that the existing SMI model is only valid for the stable region, and the semistable region has potential applications on sensing and measurement but needs re-modeling the system by considering the bandwidth of the detection components. Disciplines Engineering | Science and Technology Studies

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“…The time-delayed nature of the feedback causes the characteristic equation, the roots of which determine the stability, to have a complicated form. Some approximations have been used in order to solve the characteristic equation [4], [7], [9]. We show, by using another method [10], that in some cases [7], the approximation is not correct.…”

Section: Introductionmentioning

confidence: 97%

“…For stabilization purposes, phase-conjugate feedback (PCF) is preferred over conventional optical feedback (COF), since the laser with COF is very sensitive to mirror distance variations within an optical wavelength [4]. This is due to the fact that with an ordinary mirror, the phase of the returning light depends strongly on the mirror position, while in phase-conjugation with external pumping, this dependence is greatly decreased [5].…”

Section: Introductionmentioning

confidence: 99%