The Experts below are selected from a list of 294 Experts worldwide ranked by ideXlab platform

Reza Zarghami - One of the best experts on this subject based on the ideXlab platform.

  • analytical approximate solutions for a general nonlinear resistor nonlinear capacitor circuit model
    Applied Mathematical Modelling, 2015
    Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami
    Abstract:

    Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a nonlinear resistor in series with a nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical Mathematical Technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.

  • Analytical approximate solutions for a general nonlinear resistor–nonlinear capacitor circuit model
    Applied Mathematical Modelling, 2015
    Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami
    Abstract:

    Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a nonlinear resistor in series with a nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical Mathematical Technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.

Hooman Fatoorehchi - One of the best experts on this subject based on the ideXlab platform.

  • analytical approximate solutions for a general nonlinear resistor nonlinear capacitor circuit model
    Applied Mathematical Modelling, 2015
    Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami
    Abstract:

    Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a nonlinear resistor in series with a nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical Mathematical Technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.

  • Analytical approximate solutions for a general nonlinear resistor–nonlinear capacitor circuit model
    Applied Mathematical Modelling, 2015
    Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami
    Abstract:

    Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a nonlinear resistor in series with a nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical Mathematical Technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.

Hossein Abolghasemi - One of the best experts on this subject based on the ideXlab platform.

  • analytical approximate solutions for a general nonlinear resistor nonlinear capacitor circuit model
    Applied Mathematical Modelling, 2015
    Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami
    Abstract:

    Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a nonlinear resistor in series with a nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical Mathematical Technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.

  • Analytical approximate solutions for a general nonlinear resistor–nonlinear capacitor circuit model
    Applied Mathematical Modelling, 2015
    Co-Authors: Hooman Fatoorehchi, Hossein Abolghasemi, Reza Zarghami
    Abstract:

    Abstract In this paper, the analytical approximate solutions of a general RC circuit comprised of a nonlinear resistor in series with a nonlinear capacitor are addressed. In the studied circuit, the capacitor is characterized by a quintic polynomial voltage–charge dependence and the resistor obeys a cubic polynomial voltage–current relation. An efficient and easy-to-implement algorithm based on a hybrid analytical–numerical Mathematical Technique, namely the multistage Adomian decomposition method (MADM) is applied for solving the nonlinear differential equation governing the circuit performance. It is shown that the classic Adomian decomposition method fails to provide accurate convergent solutions for the posed problem over the whole semi-infinite time domain; however, the MADM can easily achieve convenient solutions with any desired degree of accuracy for both the transient and steady state time zones by exploiting its two embedded precision adjustment parameters. For the sake of illustration, two relevant numerical examples are solved by the MADM and simulated by the MATLAB–Simulink, as well. The results by the MADM are evaluated as highly accurate, based on comparison. In addition to the circuit theory aspects, the present work might be of particular interest from a practical point of view as the quintic nonlinear capacitor typically represents the widely used ferroelectric ceramic capacitors.

Darko Zibar - One of the best experts on this subject based on the ideXlab platform.

  • dual polarization nonlinear fourier transform based optical communication system
    Optica, 2018
    Co-Authors: Simone Gaiarin, Auro M Perego, E P Da Silva, F Da Ros, Darko Zibar
    Abstract:

    New services and applications are causing an exponential increase in Internet traffic. In a few years, the current fiber optic communication system infrastructure will not be able to meet this demand because fiber nonlinearity dramatically limits the information transmission rate. Eigenvalue communication could potentially overcome these limitations. It relies on a Mathematical Technique called “nonlinear Fourier transform (NFT)” to exploit the “hidden” linearity of the nonlinear Schrodinger equation as the master model for signal propagation in an optical fiber. We present here the theoretical tools describing the NFT for the Manakov system and report on experimental transmission results for dual polarization in fiber optic eigenvalue communications. A transmission of up to 373.5 km with a bit error rate less than the hard-decision forward error correction threshold has been achieved. Our results demonstrate that dual-polarization NFT can work in practice and enable an increased spectral efficiency in NFT-based communication systems, which are currently based on single polarization channels.

  • dual polarization nonlinear fourier transform based optical communication system
    arXiv: Emerging Technologies, 2018
    Co-Authors: Simone Gaiarin, Auro M Perego, E P Da Silva, F Da Ros, Darko Zibar
    Abstract:

    New services and applications are causing an exponential increase in internet traffic. In a few years, current fiber optic communication system infrastructure will not be able to meet this demand because fiber nonlinearity dramatically limits the information transmission rate. Eigenvalue communication could potentially overcome these limitations. It relies on a Mathematical Technique called "nonlinear Fourier transform (NFT)" to exploit the "hidden" linearity of the nonlinear Schr\"odinger equation as the master model for signal propagation in an optical fiber. We present here the theoretical tools describing the NFT for the Manakov system and report on experimental transmission results for dual polarization in fiber optic eigenvalue communications. A transmission of up to 373.5 km with bit error rate less than the hard-decision forward error correction threshold has been achieved. Our results demonstrate that dual-polarization NFT can work in practice and enable an increased spectral efficiency in NFT-based communication systems, which are currently based on single polarization channels.

Mahnoosh Foroughi - One of the best experts on this subject based on the ideXlab platform.

  • A novel Mathematical Technique to assess of the mitral valve dynamics based on echocardiography
    arXiv: Medical Physics, 2015
    Co-Authors: Mersedeh Karvandi, Saeed Ranjbar, Seyed Ahmad Hassantash, Mahnoosh Foroughi
    Abstract:

    Purpose: The mechanics of the mitral valve leaflet as a nonlinear, inelastic and anisotropic soft tissue results from an integrated response of many Mathematical/physical indexes' that illustrate the tissue. In the past decade, finite element modeling of complete heart valves has greatly aided evaluation of heart valve surgery, design of bioprosthetic valve replacements, and general understanding of healthy and abnormal cardiac function. Such a model must be based on an accurate description of the mechanical behavior of the valve material. It is essential to calculate velocity/displacement and strain rate/strain at a component level that is to work at the cellular level. In this study we developed the first three-dimensional displacement vectors field in the characterization of mitral valve leaflets in continuum equations of inelasticity framework based on echocardiography. Method: Much of our knowledge of abnormal mitral valve function is based on surgical and post-mortem studies while these studies are quantitative in some cases, they are limited by evaluation of valve anatomy in a fixed and nonfunctioning state. A more sophisticated analysis method is necessary to gain a full considerate of mitral valve function. Several groups attempted to model mitral valve anatomy and function by Mathematical/physical equations. Result: Preliminary results concerning a different aspect of MVL biomechanics, such as leaflets dynamics, displacements/velocities and strain rates/strains of points on leaflets, were in good agreement with in echocardiographic observations.