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  1. 1
    دورية أكاديمية

    المؤلفون: Reyes-Romero, Arturo1 (AUTHOR) artrero77@gmail.com, Adrian Reyes, J.2 (AUTHOR)

    المصدر: Waves in Random & Complex Media. Jun2024, Vol. 34 Issue 3, p1702-1725. 24p.

    مستخلص: A stochastic theoretical analysis of electromagnetic wave propagation inside a planar slab waveguide filled with a cholesteric material, whose azimuthal angular component on its director n is randomly fluctuating is presented in this article. By means of van Kampen systematic expansion method, Maxwell's electromagnetic equations with random dielectric tensor and appropriate boundary conditions are obtained. As numerical examples, the effects of the randomness on the propagating constant, on the ratio between magnetic and electric modes, on the field profiles, and on the energy flow are presented and discussed. The results in this paper are consistent with those corresponding to the deterministic conventional waveguide. [ABSTRACT FROM AUTHOR]

  2. 2
    دورية أكاديمية

    المؤلفون: Reyes-Romero, Arturo, Cruz, Anabel

    المصدر: European Journal of Physics ; volume 43, issue 3, page 035302 ; ISSN 0143-0807 1361-6404

    الوصف: The three-layer slab dielectric waveguide is perhaps the most basic structure for designing optical and electronic devices. Deterministic results, assuming constant refractive indices, on the propagation of an electromagnetic wave within this structure are well known and they are reported in papers and textbooks, however to the best of the authors knowledge, there are no works reported in the literature on the stochastic propagation. In order to describe the stochastic propagation, we propose a model in which the refractive indices are variables fluctuating randomly. Our main objective is to show the student the significant difference between the deterministic and stochastic response of the system, when constant or random refractive indices are considered. In particular the dispersion curves, the distribution of the fields and the energy flow are presented and discussed. Our results show that the asymmetry factor associated with the dispersion curves can be easily modified by means of the magnitude of the induced fluctuation. Another interesting property shows that both TE 0 and TM 0 fundamental modes propagate only for small fluctuations. In the core of the guide, the amplitude of the electric and magnetic fields exhibits damped oscillations due to the randomness of the system. The energy flow is high in the substrate region, but it is vanishing in the cladding region. We conclude that those deterministic results are a particular case of our stochastic results.

  3. 3
    دورية أكاديمية
  4. 4
    دورية أكاديمية

    المصدر: Waves in Random and Complex Media ; page 1-24 ; ISSN 1745-5030 1745-5049

  5. 5
    دورية أكاديمية
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    المؤلفون: Reyes Romero, Arturo

    المساهمون: Reyes Cervantes, Juan Adrián

    المصدر: Universidad Nacional Autónoma de México
    UNAM
    Repositorio de Tesis DGBSDI, Dirección General de Bibliotecas y Servicios Digitales de Información, UNAM

    مصطلحات موضوعية: Ciencias Físico-Matemáticas e Ingenierías

    وصف الملف: application/pdf