Complex Computer Simulations, Numerical Artifacts, and Numerical Phenomena

Iordache, D.; Sterian, Paul E.; Sterian, Andreea-Rodica P.; Pop, Florin

doi:10.15837/ijccc.2010.5.2234

Cited by 8 publications

(5 citation statements)

References 14 publications

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“…(a) The temporal evolution equation (25) shows the dependence of on indirectly, via dependence of on , which is the conjugate variable corresponding to , so that the dependence of on is an implicit one, as it results from the intrinsic correlation between and E. If / = 0, / = 0 Advances in High Energy Physics 5 only if the observables and are noncorrelated, that is, [ , ] = 0. In this case, = ct. is a time-conservative variable.…”

Section: Discussionmentioning

confidence: 99%

Realistic Approach of the Relations of Uncertainty of Heisenberg

Sterian

2013

Advances in High Energy Physics

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Due to the requirements of the principle of causality in the theory of relativity, one cannot make a device for the simultaneous measuring of the canonical conjugate variables in the conjugate Fourier spaces. Instead of admitting that a particle's position and its conjugate momentum cannot be accurately measured at the same time, we consider the only probabilities which can be determined when working at subatomic level to be valid. On the other hand, based on Schwinger's action principle and using the quadridimensional form of the unitary transformation generator function of the quantum operators in the paper, the general form of the evolution equation for these operators is established. In the nonrelativistic case one obtains the Heisenberg's type evolution equations which can be particularized to derive Heisenberg's uncertainty relations. The analysis of the uncertainty relations as implicit evolution equations allows us to put into evidence the intrinsic nature of the correlation expressed by these equations in straight relations with the measuring process. The independence of the quantisation postulate from the causal evolution postulate of quantum mechanics is also put into discussion.

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Section: Discussionmentioning

confidence: 99%

Realistic Approach of the Relations of Uncertainty of Heisenberg

Sterian

2013

Advances in High Energy Physics

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“…The paper intend to start from mathematical models of the optical fiber amplifiers and QWL diodes implemented in software, especially, MATHLAB, MATHCAD and other prgramming tools to get the operational diagrams and parameters for the devices and structures used in the optical fiber communications systems [9,[12][13][14][15][16]. After introduction we shall analysis the basic models and structures of the erbium doped fiber amplifiers.…”

Section: Introductionmentioning

confidence: 99%

Basic research for designing the erbium doped fiber amplifier in long distance cable communications

Sterian

2020

Technium

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The paper presents some of the author results obtained in the research on the optical fiber amplifiers and Quantum Well (QW) laser diodes used in long distance optical communications as those transoceanic and other applications. Based on the mathematical models of the Erbium Doped Fiber Amplifier (EDFA) and of the QW laser diodes, implemented in software (especially, MATHLAB and MATHCAD but also in SIMULINK and SPICE), we get the operational diagrams and parameters of the specified devices and structures. For example, the classic Runge-Kutta method hasbeen successfully used for numerical simulation of complex nonlinear dynamics in fiber optic lasers.The obtained results are important in the design and characterization of the optical fiber communication systems, as those of the optical cables used in the naval and civil engineering.

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“…The nonlinear dynamics is treated taking into account the complexity of the phenomena which govern the field-substance interaction including the dissipative phenomena [1][2][3][4][5][6]. Computational software was elaborated to study the nonlinear phenomena in such kinds of quantum devices [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics in Optoelectronics Structures with Quantum Well

Sterian¹

2018

Recent Development in Optoelectronic Devices

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The author presents some results on nonlinear dynamics in optoelectronics nanostructures as lasers with quantum wells and quantum well solar cells using mathematical modeling and numerical simulations of the phenomena which take place in such kinds of structures. The nonlinear dynamics takes the complexity of the phenomena into account, which govern the field-substance interaction. Computational software was elaborated to study the nonlinear phenomena in such quantum devices, which put into evidence their complex nonlinear dynamics, characterized by bifurcation points and chaos, and the critical values of the parameters being determined. The mathematical modeling and numerical simulations for the quantum well solar cells for optimizing the values of their optical parameters (refraction index, reflectance, and absorption) were also analyzed, so that the conversion efficiency of the devices can be improved. Although in our study we have considered only rectangular quantum wells, the hybrid model allows computing the optimum values of the parameters whatsoever the form of the quantum wells. The developed numerical models and the obtained results are consistent with the existing data in the literature for the optoelectronics of quantum well structures, having important implications in the applications.

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Complex Computer Simulations, Numerical Artifacts, and Numerical Phenomena

Cited by 8 publications

References 14 publications

Realistic Approach of the Relations of Uncertainty of Heisenberg

Realistic Approach of the Relations of Uncertainty of Heisenberg

Basic research for designing the erbium doped fiber amplifier in long distance cable communications

Nonlinear Dynamics in Optoelectronics Structures with Quantum Well

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