Theory for the linewidth of a bad-cavity laser

Exter, M. P. van; Kuppens, S. J. M.; Woerdman, J. P.

doi:10.1103/physreva.51.809

Cited by 46 publications

(35 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…); it remains an open problem to obtain a fully general linewidth theory. In this paper, we present a multimode laser-linewidth theory for arbitrary cavity structures and geometries that contains nearly all previously known effects [8][9][10][11][12] and also finds new nonlinear and multimode corrections. The theory is quantitative and makes no significant approximations; it simplifies, in the appropriate limits, to the Schawlow-Townes formula (2) with the well-known corrections.…”

Section: Introductionmentioning

confidence: 99%

“…(This gain-saturation effect is called "spatial hole burning" [4] since it can be spatially inhomogeneous.) In the absence of noise, this results in a stable sinusoidal oscillation with an infinitesimal linewidth, but the presence of noise, which can be modeled by random current fluctuations J [10,29,44], perturbs the mode as depicted in Fig. 1(c), resulting in a finite linewidth.…”

Section: Introductionmentioning

confidence: 99%

“…Generally speaking, linewidth theories can be classified into two categories. The first class includes methods which solve Maxwell's equations with a phenomenological model for the gain medium and account for noise spatial and spectral correlations by using the FDT [10,29,44]. Typically, these methods do not handle nonlinear spatial hole-burning above threshold or multimode effects.…”

Section: Introductionmentioning

confidence: 99%

“…Typically, these methods do not handle nonlinear spatial hole-burning above threshold or multimode effects. These methods, commonly used in the semiconductor laser literature, resulted in linewidth formulas which included the Petermann [49], bad-cavity [2,10], incomplete-inversion [29], and α factors [11]. Most notably, an early work by Arnaud [55] derived a single-mode linewidth formula without making any simplifying assumptions about the field patterns, handling anisotropic, inhomogeneous, and dispersive media.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Ab initiomultimode linewidth theory for arbitrary inhomogeneous laser cavities

et al. 2015

View full text Add to dashboard Cite

We present a multimode laser-linewidth theory for arbitrary cavity structures and geometries that contains nearly all previously known effects and also finds new nonlinear and multimode corrections, e.g., a correction to the α factor due to openness of the cavity and a multimode Schawlow-Townes relation (each linewidth is proportional to a sum of inverse powers of all lasing modes). Our theory produces a quantitatively accurate formula for the linewidth, with no free parameters, including the full spatial degrees of freedom of the system. Starting with the Maxwell-Bloch equations, we handle quantum and thermal noise by introducing random currents whose correlations are given by the fluctuation-dissipation theorem. We derive coupled-mode equations for the lasing-mode amplitudes and obtain a formula for the linewidths in terms of simple integrals over the steady-state lasing modes.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ab initiomultimode linewidth theory for arbitrary inhomogeneous laser cavities

et al. 2015

View full text Add to dashboard Cite

show abstract

“…The mirrors were separated by 7 cm. A dressed cavity loss rate of ⌫ c /2 ϭ 200 MHz was achieved (''dressed'' means that bad-cavity effects are included 18 ). We varied the laser gain by changing the amplitude V RF of the rf power supply that drives the He-Xe gas discharge.…”

Section: Methodsmentioning

confidence: 99%

Threshold behavior of a laser with nonorthogonal polarization modes

et al. 2002

Self Cite

View full text Add to dashboard Cite

Threshold behavior of a laser with nonorthogonal polarization modes van der Lee, A.M.; van Exter, M.P.; Assadian, H.A.; van Druten, N.J.; Woerdman, J.P. General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. We investigate experimentally and theoretically the influence of the excess quantum noise in a laser on the laser's input-output curve near threshold. As an experimental system we use a He-Xe gas laser with nonorthogonal polarization modes. We observe that the excess quantum noise is absent far below threshold and steadily builds up as threshold is approached. The excess noise is fully developed when the mode that (above threshold) becomes the lasing mode dominates in power the other, nonlasing, modes. This situation may already occur considerably below threshold, namely, when the hot-cavity photon lifetime of the dominant mode exceeds the coloring time of the excess noise.

show abstract

A One‐Dimensional Laser with Output Coupling: Quantum Nonlinear Gain Analysis

Ujihara¹

2010

Output Coupling in Optical Cavities and Lasers

View full text Add to dashboard Cite

Theory for the linewidth of a bad-cavity laser

Cited by 46 publications

References 26 publications

Ab initiomultimode linewidth theory for arbitrary inhomogeneous laser cavities

Ab initiomultimode linewidth theory for arbitrary inhomogeneous laser cavities

Threshold behavior of a laser with nonorthogonal polarization modes

A One‐Dimensional Laser with Output Coupling: Quantum Nonlinear Gain Analysis

Contact Info

Product

Resources

About