S. C. V. Latas, "High-energy plain and composite pulses in a laser modeled by the complex Swift–Hohenberg equation," Photonics Res. 4, 0049 (2016)

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- Photonics Research
- Vol. 4, Issue 2, 0049 (2016)

Fig. 1. Region of existence of dissipative solitons (darker area), in the plane (ϵ , D ), for the following parameter values: β = − 0.3 , δ = − 0.5 , μ = − 0.001 , ν = 0 , and γ = 0.05 . Dissipative pulses do not exist beyond the lower and upper boundaries. Nevertheless, their region of existence extends beyond the left and right boundaries, for values of | D | > 2 . The marks (circles, squares, and triangles) correspond to examples of pulses presented in the following figures.

Fig. 2. (a) Amplitude and (b) spectral pulse profiles for four values of ϵ , namely, ϵ = 0.4 (thick dashed curves), ϵ = 1.3 (solid curves), ϵ = 1.35 (dashed–dotted curves), and ϵ = 1.5 (dashed curves). The curves correspond to the triangles along the vertical line D = 0 in Fig. 1 . (The other parameter values are β = − 0.3 , δ = − 0.5 , μ = − 0.001 , ν = 0 , and γ = 0.05 .)

Fig. 3. Energy Q of dissipative pulses versus dispersion parameter, D , for three different values of ϵ , associated with PPs, NCPs, and WCPs.

Fig. 4. Pulses’ (a) amplitude, (b) chirp, and (c) spectra for four different values of D . The pulse curves correspond to the squares along the horizontal line ϵ = 1.2 in Fig. 1 . (The other parameter values are β = − 0.3 , δ = − 0.5 , μ = − 0.001 , ν = 0 , and γ = 0.05 .)

Fig. 5. Pulse (a) amplitudes, (b) chirp, and (c) spectra for the same four different values of D as in Fig. 4 . The pulses represented are WCPs for D < 0 and NCPs for D > 0 . Similar profiles of WCPs and NCPs were obtained in both dispersion regimes. The pulse curves correspond to the circles along the horizontal line ϵ = 1.4 in Fig. 1 . (The other parameter values are β = − 0.3 , δ = − 0.5 , μ = − 0.001 , ν = 0 , and γ = 0.05 .)
![Pulse (a) evolution, (b) amplitude, and (c) spectrum profiles of a plain pulse solution. A small change in some parameter values can produce a significant growth of the pulse amplitude. [The parameter values are D=0, β=−0.3, δ=−0.5, ϵ=0.35, μ=0, ν=−0.000025, and γ=0.05, as shown in (b).]](/Images/icon/loading.gif)
Fig. 6. Pulse (a) evolution, (b) amplitude, and (c) spectrum profiles of a plain pulse solution. A small change in some parameter values can produce a significant growth of the pulse amplitude. [The parameter values are D = 0 , β = − 0.3 , δ = − 0.5 , ϵ = 0.35 , μ = 0 , ν = − 0.000025 , and γ = 0.05 , as shown in (b).]

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