Showing posts with label elliptic integrals. Show all posts
Showing posts with label elliptic integrals. Show all posts

Thursday, 23 November 2023

Positive Kerr Nonlinearity in a Thin-Film Waveguide Problem: A Study Associated with TM Standing Wave Solution | Chapter 2 | Current Perspective to Physical Science Research Vol. 3

 Here we display how the answer of nonlinear Maxwell equations is used to a thin-film waveguide problem. A seasonal scattering type resolution we used for this purpose is of a more comprehensive form than ones signified through elliptic integral of the first and third types. In our approach, fields are represented by a determined of a non-flow integral of motion and the worth of a dielectric function. Instead of matching field amplitudes at lines, we worked through principles of this fixed as a wave characteristic. So, without allowing for possibility a film diameter, we created the appropriate barrier conditions for two together borders. The requirement forces a dielectric function to have two specific or equal values at borders, happening in the existence of wave pieces that fit justly and asymmetrically. Such standing wave resolutions were built into offspring. We use a film thickness to request the satisfying border condition to kin data. The classification of symmetrically fit wave pieces equipped to have a relatively complex building due to two singularities in a dielectric function and three domains had to be resolved separately. To expect matches inside the data we bestowed two simple tests that completely delineate the length-form and the number of standing wave answers within a film. In general, the design can be used to more complex hide structures.

Author(s) Details:

O. Nyamsuren,
Department of Fundamental Sciences, New Mongol Institute of Technology, Mongolia.

G. Ochirbat,
Faculty of Physics, National University of Mongolia, Mongolia.

Please see the link here: https://stm.bookpi.org/CPPSR-V3/article/view/12582

Monday, 20 November 2023

Two New Exact Complex Valued Solutions of Su (2) Yang-Mills Gauge Field Equations by Null Tetrad Formalism | Chapter 10 | Research and Applications Towards Mathematics and Computer Science Vol. 6

 Two new exact complex costly solutions establish for SU(2) Yang-Mills (YM) gauge field equations, simplified by Carmeli-Charash-Kaye-Kh. Huleihil ineffectual-tetradformalism. Unlike earlier stated solutions accompanying special functions of oval integrals, these two new complex valued resolutions are exact and in closed form accompanying two arbitrary unification constants in each cases.

Author(s) Details:

B. V. Baby,
3/88, Jadkal Post, Udupi District, Karnataka State, 576 233, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V6/article/view/12538