Radiation emitted by optically coupled lasers

Likhanskiǐ, V. V.; Napartovich, A. P.

doi:10.1070/pu1990v033n03abeh002553

Cited by 49 publications

(22 citation statements)

References 80 publications

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“…It follows from equation (10) that the round trip over the AW results in optical coupling of all the microcores with the same strength. Coupling of this kind (called parallel coupling [24]) was shown in [25] to result in in-phase (or out-of-phase) array lasing even in the case of strong spread of resonator eigenfrequencies. It was shown in [26] for the linear array in a Talbot cavity, that a fill-factor smaller than 1/N provides parallel coupling in the array, but with unacceptably high losses (a similar conclusion is drawn in [20]).…”

Section: Iqj)/(nand) J=omentioning

confidence: 98%

Phase-locking of multicore fibre laser due to talbot self-reproduction

Napartovich

Vysotsky

2003

Journal of Modern Optics

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The multicore fibre laser (MCFL), containing an array of singlemode microcores in a circle inside the pump core, is a promising compact laser source. The problem is to synchronize the radiation of microcores with different propagation constants at a given radiation frequency. The theory of phaselocking of an MCFL with an external mirror and an annular waveguide matched to the multicore fibre and having a length some fraction of the Talbot distance is developed. Collective mode selection appears to occur due to spatial filtering at fractional Talbot distances, while the radiation frequency selfadjusts within the spectral gain range to minimize losses. Parallel coupling between microcores is achieved in the limit of a small fill factor. The maximum number of microcores that can be coupled is found. Good agreement is achieved between the theory and previously published experimental results.

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Section: Iqj)/(nand) J=omentioning

confidence: 98%

Phase-locking of multicore fibre laser due to talbot self-reproduction

Napartovich

Vysotsky

2003

Journal of Modern Optics

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“…An exemplary scheme of realization of optical coupling of two CO 2 -lasers (see [3]) is presented in Fig. 1 (1, 2, waveguide CO 2 -lasers; 3, 4, plane mirrors that form resonators; 5, 6, matching lens and external mirror that guarantee optical coupling; 7, calibrated absorbers; 8, photodetector.…”

Section: Statement Of the Problem And Mathematical Modelmentioning

confidence: 99%

“…In the present paper, on the basis of the results of [1,3], we consider the problem of stability with respect to linear approximation for some periodic solutions of a system of nonlinear differential equations that describes an experimental realization of an "equivalent," due to phase locking via optical coupling, "chaotic" CO 2 -laser with periodic pumping by alternating current completely modulated in depth. For the construction of a proper Lyapunov function, we use some ideas of the method of matrix-valued functions [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…For a modular scheme to have an advantage over a monolaser, it is necessary to realize the phase locking of radiation emitted by all modules. In [3], three methods of frequency and phase locking of a system of lasers were distinguished, one of which is based on the optical coupling of lasers. At the same time, the mode of dynamical chaos in a generator is most easily realized by the modulation of the Q factor of a resonator or the pumping power at a frequency close to the frequency of relaxation oscillations in an active medium [1].…”

Section: Introductionmentioning

confidence: 99%

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On stability of some solutions for equations of locked lasing of optically coupled lasers with periodic pumping

Lila

Martynyuk

2009

Nonlinear Oscill

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“…The wave field is written in the form E(r,z,t) =(E+(r,z)eZ +E_(r,z)e' ) e&t e1t , (1) where the wave envelope amplitudes satisfy the paraxial wave equations +2ik E/ z +Ar E ik(g+g+2ikv)E , v ( n2 -1)12 , (2) where g and n are the gain and index of on active medium , r is the transverse Laplassian, r is the transverse radius-vector, g is the threshold gain which is determined by the decrement 8. In the case of 2-mirror resonator g and 8 are related through relation: g = 2/c, where c is the light velocity.…”

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confidence: 99%

Mathematical simulation of composite optical systems loaded with active medium

et al. 1991

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A set of programs to simulate a diffractive optics in various laser systems is developed. The codes are based on the efficient and general diffractive propogation computer program that employs FFT (FHT) techniques and the scheme of splitting the diffractive and gain-refractive steps of calculation. The codes include new method of iterative calculations for the optical resonators loaded with active medium. This method solves the problem of calculation 's convergency in a case of several equal-loss modes and allows to find the single mode stability limits. The method is proposed to calculate continuous multimode lasing when neglecting a transverse-mode beating.The results of numerical simulation of several laser systems are reported: 1) the slave laser under the injection of an external signal (injection locked laser, 2-D code) ; 2) three-mirror resonators with active medium (3-D code) ; 3) two optically coupled lasers having unstable resonators (3-D code) ; 4) 1-D laser array in the Talbot cavity (self-imaging resonator 2-D code).Most suitable parameters of pointed optical schemes to achieve high efficiency and high beam quality can be found by using mathematical simulation. INTRODUCTIONRecently there has been considerable interest in composite laser systems El, 21. This is due to several reasons: 1. Powerful single-frequency high quality laser beam may be obtained using the masteroscillator ( MO ) radiation injection into the slave laser having unstable cavity.2. Three mirror unstable cavity with a central coupling hole in the concave mirror ( see Fig.1) allows to vary independently conditions in the central and outer zones. So, additional possibilities are available to control laser beam characteristics.3. Optically coupled laser arrays are very attractive to produce high power density on a target when multiple laser beams are mutually coherent. In this case the total power equals N times single laser power and the diffraction limited angle is determined by the whole output aperture.It is important in calculations to include correctly the interference of light beams reflected from different parts of an optical system. The mirror edges and coupling hole diffraction is very essential, too. Till now there are known not so many works devoted to mathematical simulation of composite laser systems including a diffraction and an interference as well. The problem of mathematical simulation of active systems (loaded with an active medium) is much more complex because of nonlinearity.One of the most important physical problems, that may be solved by numerical simulation, is the determination of parameters of the designed system for which single mode lasing is stable. Several transverse modes have nearly equal losses in composite systems more frequently than in a monolithic laser with unstable resonator. It 108 / SPIE Vol. 1501 Advanced Laser Concepts andApplications(1991) O-8194-0610-4/91/$4.00 Downloaded From: http://proceedings.spiedigitallibrary.org/ on 06/17/2016 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUs...

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Radiation emitted by optically coupled lasers

Cited by 49 publications

References 80 publications

Phase-locking of multicore fibre laser due to talbot self-reproduction

Phase-locking of multicore fibre laser due to talbot self-reproduction

On stability of some solutions for equations of locked lasing of optically coupled lasers with periodic pumping

Mathematical simulation of composite optical systems loaded with active medium

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