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In-Situ Plasma Monitoring during the Pulsed Laser Deposition of Ni60Ti40 Thin Films
摘要： The properties of pulsed laser deposited of Ni60Ti40 shape memory thin films generated in various deposition conditions were investigated. In-situ plasma monitoring was implemented by means of space- and time-resolved optical emission spectroscopy, and ICCD fast camera imaging. Structural and chemical analyses were performed on the thin films using SEM, AFM, EDS, and XRD equipment. The deposition parameters influence on the chemical composition of the thin films was investigated. The peeled layer presented on DSC a solid-state transformation in a different transformation domain compared to the target properties. A fractal model was used to describe the dynamics of laser produced plasma through various non-differentiable functionalities. Through hydrodynamic type regimes, space-time homographic transformations were correlated with the global dynamics of the ablation plasmas. Spatial simultaneity of homographic transformation through a special SL(2R) invariance implies the description of plasma dynamics through Riccati type equations, establishing correlations with the optical emission spectroscopy measurements.
关键词： thin films,in situ plasma monitoring,nitinol,pulsed laser deposition,fractal modelling,SL(2R) invariance,homographic transformations,Riccati equation
更新于2025-09-19 17:13:59
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Explicit solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics
摘要： In this paper, new exact traveling wave solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics are successfully obtained by using two methods, namely, Improved tan( Φ(ρ) 2 )-expansion method and general projective Riccati equation method. The considered methods have been successfully implemented to ?nd exact traveling wave solutions for nonlinear evaluation equations (NLEE) coming for describing nonlinear optics. The results obtained by these methods are straightforward and concise mathematical tool to set up the exact solutions of NLEE.
关键词： Improved tan( Φ(ρ) 2 )-expansion method,general projective Riccati equation method,the (2 + 1)-dimensional Hirota–Maccari system
更新于2025-09-16 10:30:52
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New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schr?dinger equation with Kerr law nonlinearity in optical fiber materials
摘要： In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended ( G (cid:3) / G )-expansion method and found new exact solutions of the nonlinear KPP equation. In the present article, we propose a different method, namely, a new sub-equation method consists of the Riccati equation mapping method and the ( G (cid:3) / G , 1/ G )-expansion method to ?nd new exact solutions of the perturbed nonlinear Schr?dinger equation with Kerr law nonlinearity in optical ?ber materials. This proposed method is not found elsewhere. Hyperbolic, trigonometric and rational function solutions are given. New solutions of the generalized Riccati equation are presented for the ?rst time which are not reported previously. The solutions of the given nonlinear equation can be applied in ocean engineering for calculating the height of tides in the ocean.
关键词： ( G (cid:3) / G , 1/ G )-expansion method,New sub-equation method,Perturbed nonlinear Schr?dinger equation,Generalized Riccati equation mapping method,Exact solutions
更新于2025-09-11 14:15:04
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An overview of the methods for deriving recurrence relations for T-matrix calculation
摘要： In this paper, we present a consistent analysis of the methods dealing with the derivation of recurrence relations for calculation of the T -matrix. Central and forward recurrence relations are obtained in the framework of the invariant embedding T -matrix method, the matrix Riccati equation method, and the superposition T -matrix method. The accuracies and e?ciencies of the central and forward recurrence schemes are analyzed, and some implementation issues related to the improvement of the numerical accuracy and to the problem of overcoming of over?ow errors are discussed.
关键词： recurrence relations,matrix Riccati equation,over?ow errors,invariant embedding,superposition T-matrix method,numerical accuracy,T-matrix
更新于2025-09-10 09:29:36