Class-B two-photon Fabry–Pérot laser

Espinosa, V.; Silva, Fernando; Valcárcel, Germán J. de; Roldán, Eugenio

doi:10.1016/s0030-4018(98)00376-9

Cited by 6 publications

(3 citation statements)

References 19 publications

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“…which is in complete agreement with (5.7) of [22] associated with class-B lasers for the case ε R = ε L = ε = 0. Finally, by applying ( 9), (10), and ( 13) into ( 8), ( 12) and ( 11), we derive…”

Section: Motion Equations and Trial Solutionsmentioning

confidence: 99%

“…The inward and outward regions of bifurcations are completely different from the homogeneous to inhomogeneous atomic broadenings [8,9], as well as from the ring to Fabry-Perot cavities [10,11]. So far, numerous ideas have been posed about the stability conditions of single-and multimode ring cavity lasers, which have originated from the pioneering works presented by Risken, Nummedal, Graham, and Haken (RNGH instability) [7,12,13].…”

Section: Introductionmentioning

confidence: 99%

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The theory of stability, bistability, and instability in three-mode class-A lasers

Jahanpanah

Rahdar

2014

Laser Phys.

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Instability is an inevitable and common problem in all different kinds of lasers when they are oscillating in both single-and multi-mode states. Here, the stability conditions are investigated for a three-mode class-A laser. A set of linear equations is derived for the stable oscillation of the cavity central mode together with its left and right adjacent longitudinal modes. The coefficient determinant of stability equations is Hermitian and equal to zero for the roots of two diagonal arrays. In other words, the novelty of our work is to expand the stability coefficient determinant in terms of main diagonal arrays rather than for one row or one column. These diagonal roots lead to two lower and upper boundary curves in the form of a bifurcation. The lower boundary curve mimics the single-mode laser and delimits the instability region (with no above-threshold oscillating mode) from the bistability region (with two above-threshold oscillating modes). The upper boundary curve mimics the two-mode laser and delimits the bistability region from the stability region, in which all three-longitudinal modes are simultaneously oscillating in the above-threshold state.

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Section: Motion Equations and Trial Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The theory of stability, bistability, and instability in three-mode class-A lasers

Jahanpanah

Rahdar

2014

Laser Phys.

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“…Maxwell-Bloch equations (2-4) have been derived by assuming an effective Hamiltonian, i.e., by assuming a pure two-photon interaction between the two-level atom and electromagnetic field. This approach neglects residual effects of any largely detuned one-photon transitions between the lasing levels and other atomic levels [19]. A more precise approach consists in assuming an exact or microscopic interaction Hamiltonian that describes the interaction of the electromagnetic field with a three-level cascade atomic scheme [20,21].…”

Section: Derivation Of Equationsmentioning

confidence: 99%

Semiclassical stability analysis of a two-photon laser including spatial variation of the cavity field

Abdel‐Aty

Obada

2001

The European Physical Journal D

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We investigate the dynamics of a two-photon laser under conditions where the spatial variation of the cavity field along the cavity axis is important.The model assumes pumping to the upper state of the two-photon transition.We consider the Maxwell-Bloch equations on the basis of which we study the stability analysis of the steady state of the system. The system is taken to be contained in a ring-laser cavity. Asymptotic expansion of the eigenvalue and analytic information are obtained in some realistic limits, such as very large reflectivity, very small cavity losses, or very small population relaxation rate.The results are illustrated with an application to a specific atomic system (Potassium) as an amplifying medium.

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Lasers

Photonics

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The LASER light source, whose name is based on "Light Amplification by Stimulated Emission of Radiation", is the most important device in almost all photonic applications. First built in 1960 [6.1-6.5] it allows the generation of light with properties not available from natural light sources. Modern commercially available laser systems allow output powers of up to 10 20 W for short times with good beam quality and of several kW in continuos operation, usually with less good beam quality. Very short pulses with durations smaller than 5 · 10 −15 s, wavelengths from a few nm in the XUV to the far IR with several 10 µm, pulse energies of up to 10 4 J and frequency stability's and resolutions of better 10 −13 can be generated. The laser prices range from $ 1 to many millions of dollars and their size from less than a cubic mm to the dimensions of large buildings.The good coherence and beam quality of laser light in combination with high powers and short pulses are the basis for many nonlinear interactions, but the laser is a highly nonlinear optical device itself, using nonlinear properties of materials as described in the previous chapters. Therefore, the fundamental laws treated in Chap. 2 for the description of light as well as the description of linear and nonlinear interactions of light with matter in Chaps. 3, 4 and 5 are the basis for the analysis of laser operation and its light properties. Therefore, the theoretical description of laser devices represents an application of these laws and can be presented in this chapter in a compact form. For details the related sections of the previous chapters should be consulted. The different lasers and their constructions, as well as the resulting relevant light and operation parameters, are described and the consequences for photonic applications are discussed. Finally, possible classifications are given and safety aspects are mentioned. For further reading see [M6, M16, M17, M23-M25, M27, M28, M30, M33, M43, M44, M49, M50, M58-M65].

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Class-B two-photon Fabry–Pérot laser

Cited by 6 publications

References 19 publications

The theory of stability, bistability, and instability in three-mode class-A lasers

The theory of stability, bistability, and instability in three-mode class-A lasers

Semiclassical stability analysis of a two-photon laser including spatial variation of the cavity field

Lasers

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