The Experts below are selected from a list of 23841 Experts worldwide ranked by ideXlab platform

Toshihiko Hirooka - One of the best experts on this subject based on the ideXlab platform.

  • A Non-Perturbative Mode-Locking Theory of the Nyquist Laser With a Dirichlet Kernel Solution
    IEEE Journal of Quantum Electronics, 2016
    Co-Authors: Toshihiko Hirooka
    Abstract:

    A neatly repetitive train of sinc Function pulses can be expressed as a Dirichlet kernel solution. By using a non-perturbative approach to derive the master equation of a Nyquist pulse laser, we succeeded in obtaining a repetitive sinc Function solution with a Dirichlet kernel. A method employing non-perturbative expressions consisting of gain, loss, amplitude modulation, and a flat-top optical filter with edge enhancement was used to derive the master equation. The master equation consists of a set of integrations. We derived a new differential equation that satisfies a Dirichlet kernel Function. We introduced the differential equation into the master equation as a new operator, and directly derived a Dirichlet Function solution. We developed a new series method to describe the non-perturbative master equation, in which we derived the same constraints for successful mode locking as those for the integral master equation.

Florin Alan Muscutar - One of the best experts on this subject based on the ideXlab platform.

  • note on the zeros of a Dirichlet Function
    British Journal of Mathematics & Computer Science, 2015
    Co-Authors: Les Ferry, Dorin Ghisa, Florin Alan Muscutar
    Abstract:

    The existence of non trivial zeros off the critical line for a Function obtained by analytic continuation of a particular Dirichlet series is studied. Contrary to what has been presumed for a long time, we prove that such zeros cannot exist.

Les Ferry - One of the best experts on this subject based on the ideXlab platform.

  • note on the zeros of a Dirichlet Function
    British Journal of Mathematics & Computer Science, 2015
    Co-Authors: Les Ferry, Dorin Ghisa, Florin Alan Muscutar
    Abstract:

    The existence of non trivial zeros off the critical line for a Function obtained by analytic continuation of a particular Dirichlet series is studied. Contrary to what has been presumed for a long time, we prove that such zeros cannot exist.

Dorin Ghisa - One of the best experts on this subject based on the ideXlab platform.

  • note on the zeros of a Dirichlet Function
    British Journal of Mathematics & Computer Science, 2015
    Co-Authors: Les Ferry, Dorin Ghisa, Florin Alan Muscutar
    Abstract:

    The existence of non trivial zeros off the critical line for a Function obtained by analytic continuation of a particular Dirichlet series is studied. Contrary to what has been presumed for a long time, we prove that such zeros cannot exist.

Leiqiang Zhang - One of the best experts on this subject based on the ideXlab platform.

  • the interplay between the measured dimension and temperature of hot large forgings
    The International Journal of Advanced Manufacturing Technology, 2015
    Co-Authors: Fuli Zhang, Yucun Zhang, Leiqiang Zhang
    Abstract:

    During the forming process of hot forgings, the dimension and temperature are key parameters for improving the forging technology. In the paper, based on the mathematical physics methods, a mutual relationship model between the measured dimension and the temperature is proposed. This relationship model is displayed by the temperature field model and the dimensional model. Firstly, according to the law of conversation of energy, using the Dirichlet Function and the measured dimension, the power-transfer Function of heat source is established. Taking the measured temperatures as the boundary conditions, the temperature field model influenced by the dimensional change is established using the method of the moving virtual heat source. Secondly, based on the variation characteristics between the mesoscopic structure and the stress, using the Function of the deformation energy is analyzed. Using the differential calculus of the pluralistic Function, the dimensional change model influenced by the measured temperature is established. Based on the temperature field model and the dimensional model, this mutual relationship of the two ones can be clearly and directly displayed. Finally, the verifiable experiments and simulations are obtained using the forging experiments and the Deform-3D. Using the contrastive analysis method, the feasibility of the two relationship models is verified and the change trends of the dimension and temperature are analyzed. Combining the parameters of the forging technology in the thermal forming process, the application and the practical significance of the model are further cleared. The mutual relationship model provides a theoretical basis for improving the forging technology.