New theoretical model based on the application of the energy conservation principle for erbium-doped silica fibre lasers

2005 ◽  
Vol 52 (5) ◽  
pp. 655-670 ◽  
Author(s):  
A. Escuer ◽  
S. Jarabo ◽  
J. M. Álvarez
Keyword(s):  
Theoretical Model ◽  
Energy Conservation ◽  
Fibre Lasers ◽  
Conservation Principle ◽  
Model Based ◽  
Erbium Doped ◽  
Energy Conservation Principle ◽  
Silica Fibre

scholarly journals Statistical energy conservation principle for inhomogeneous turbulent dynamical systems

2015 ◽  
Vol 112 (29) ◽  
pp. 8937-8941 ◽  
Author(s):  
Andrew J. Majda
Keyword(s):  
Dynamical Systems ◽  
Energy Conservation ◽  
Upper And Lower Bounds ◽  
Grand Challenge ◽  
Mean Flow ◽  
Turbulent Fluctuations ◽  
Conservation Principle ◽  
Wide Range ◽  
The Mean ◽  
Energy Conservation Principle

Understanding the complexity of anisotropic turbulent processes over a wide range of spatiotemporal scales in engineering shear turbulence as well as climate atmosphere ocean science is a grand challenge of contemporary science with important societal impact. In such inhomogeneous turbulent dynamical systems there is a large dimensional phase space with a large dimension of unstable directions where a large-scale ensemble mean and the turbulent fluctuations exchange energy and strongly influence each other. These complex features strongly impact practical prediction and uncertainty quantification. A systematic energy conservation principle is developed here in a Theorem that precisely accounts for the statistical energy exchange between the mean flow and the related turbulent fluctuations. This statistical energy is a sum of the energy in the mean and the trace of the covariance of the fluctuating turbulence. This result applies to general inhomogeneous turbulent dynamical systems including the above applications. The Theorem involves an assessment of statistical symmetries for the nonlinear interactions and a self-contained treatment is presented below. Corollary 1 and Corollary 2 illustrate the power of the method with general closed differential equalities for the statistical energy in time either exactly or with upper and lower bounds, provided that the negative symmetric dissipation matrix is diagonal in a suitable basis. Implications of the energy principle for low-order closure modeling and automatic estimates for the single point variance are discussed below.

Analysis of theoretical models for erbium-doped silica fibre lasers

2001 ◽  
Vol 187 (1-3) ◽  
pp. 107-123 ◽  
Author(s):  
A. Escuer ◽  
S. Jarabo ◽  
J.M. Álvarez
Keyword(s):  
Theoretical Models ◽  
Fibre Lasers ◽  
Erbium Doped ◽  
Silica Fibre

scholarly journals Influence of the Metal–Semiconductor Interface Model on Power Conservation Principle in a Simulation of Bipolar Devices

Electronics ◽  
2021 ◽  
Vol 10 (24) ◽  
pp. 3120
Author(s):  
Janusz Wozny ◽  
Zbigniew Lisik ◽  
Jacek Podgorski
Keyword(s):  
Energy Conservation ◽  
Thermal Design ◽  
Drift Diffusion Model ◽  
Semiconductor Interface ◽  
Power Conservation ◽  
Power Semiconductor ◽  
Conservation Principle ◽  
Bipolar Devices ◽  
Energy Conservation Principle ◽  
Contact Metal

The purpose of the study is to present a proper approach that ensures the energy conservation principle during electrothermal simulations of bipolar devices. The simulations are done using Sentaurus TCAD software from Synopsys. We focus on the drift-diffusion model that is still widely used for power device simulations. We show that without a properly designed contact(metal)–semiconductor interface, the energy conservation is not obeyed when bipolar devices are considered. This should not be accepted for power semiconductor structures, where thermal design issues are the most important. The correct model of the interface is achieved by proper doping and mesh of the contact-semiconductor region or by applying a dedicated model. The discussion is illustrated by simulation results obtained for the GaN p–n structure; additionally, Si and SiC structures are also presented. The results are also supported by a theoretical analysis of interface physics.

scholarly journals A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment

2015 ◽  
Vol 471 (2173) ◽  
pp. 20140643 ◽  
Author(s):  
T. K. Papathanasiou ◽  
A. Karperaki ◽  
E. E. Theotokoglou ◽  
K. A. Belibassakis
Keyword(s):  
Energy Conservation ◽  
Shallow Water ◽  
Higher Order ◽  
Thickness Variation ◽  
Valuable Insight ◽  
Solution Stability ◽  
Stability Estimates ◽  
Floating Bodies ◽  
Conservation Principle ◽  
Energy Conservation Principle

The study of wave action on large, elastic floating bodies has received considerable attention, finding applications in both geophysics and marine engineering problems. In this context, a higher order finite-element method (FEM) for the numerical simulation of the transient response of thin, floating bodies in shallow water wave conditions is presented. The hydroelastic initial-boundary value problem, in an inhomogeneous environment, characterized by bathymetry and plate thickness variation, is analysed for two configurations: (i) a freely floating strip modelling an ice floe or a very large floating structure and (ii) a semi-fixed floating beam representing an ice shelf or shore fast ice, both under long-wave forcing. The variational formulation of these problems is derived, along with the energy conservation principle and the weak solution stability estimates. A special higher order FEM is developed and applied to the calculation of the numerical solution. Results are presented and compared against established methodologies, thus validating the present method and illustrating its numerical efficiency. Furthermore, theoretical results concerning the energy conservation principle are verified, providing a valuable insight into the physical phenomenon investigated.

Sign in / Sign up

Export Citation Format

Share Document