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Browsing by Author "Tung, Michael Ming-Sha"

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Browsing by Author "Tung, Michael Ming-Sha"

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    A fundamental Lagrangian approach to transformation acoustics and spherical spacetime cloaking 
    Tung ., Michael Ming-Sha (European Physical Society, 2012)
    [EN] Transformation acoustics centers on the construction of advanced acoustic devices by combining mathematical transformation techniques with the engineering of acoustic metamaterials. We show how di¿erential-geometric ...
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    A method to approximate the hyperbolic sine of a matrix 
    Defez Candel, Emilio; Sastre, Jorge; Ibáñez González, Jacinto Javier; Peinado Pinilla, Jesús; Tung, Michael Ming-Sha (2014-03)
    In this paper a method for computing hyperbolic matrix sine based on Hermite matrix polynomial expansions is presented. An error bound analysis is given
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    A new type of Hermite matrix polynomial series 
    Defez Candel, Emilio; Tung, Michael Ming-Sha (Informa UK (National Inquiry Services Center), 2018)
    [EN] Conventional Hermite polynomials emerge in a great diversity of applications in mathematical physics, engineering, and related fields. However, in physical systems with higher degrees of freedom it will be of practical ...
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    Acoustic metamaterial models on the (2+1)D Schwarzschild plane 
    Tung, Michael Ming-Sha; Weinmüller, Ewa B. (Elsevier, 2019-01-15)
    [EN] Recent developments in acoustic metamaterial engineering have led to the design and fabrication of devices with formidable properties, such as acoustic cloaking, superlenses and ultra-sound waves. Artificial materials ...
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    Approximating and computing nonlinear matrix differential models 
    Defez Candel, Emilio; Tung ., Michael Ming-Sha; Ibáñez González, Jacinto Javier; Sastre, Jorge (Elsevier, 2012-04)
    Differential matrix models are an essential ingredient of many important scientific and engineering applications. In this work, we propose a procedure to represent the solutions of first-order matrix differential equations ...
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    Electromagnetic waves in a uniform gravitational field and Planck's postulate 
    Acedo Rodríguez, Luis; Tung, Michael Ming-Sha (European Physical Society, 2012-09)
    The gravitational redshift forms the central part of the majority of the classical tests for the general theory of relativity. It could be successfully checked even in laboratory experiments on the earths surface. The ...
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    Gravitational frequency shifts in transformation acoustics 
    Tung, Michael Ming-Sha; Weinmüller, Ewa Barbara (European Physical Society, 2013-03)
    In metamaterial acoustics, it is conceivable that any type of fine-tuned acoustic properties far beyond those found in nature may be transferred to an appropriate medium. Effective design and engineering of these modern ...
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    Improvement on the bound of Hermite matrix polynomials 
    Defez Candel, Emilio; Tung, Michael Ming-Sha; Sastre, Jorge (Elsevier, 2011-04-15)
    In this paper, we introduce an improved bound on the 2-norm of Hermite matrix polynomials. As a consequence, this estimate enables us to present and prove a matrix version of the Riemann-Lebesgue lemma for Fourier transforms. ...
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    Modelling acoustics on the Poincaré half-plane 
    Tung, Michael Ming-Sha (Elsevier, 2018)
    [EN] Novel advances in the field of metamaterial research have permitted the engineering of devices with extraordinary characteristics. Here, we explore the possibilities in transformation acoustics to implement a model ...
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    Numerical approximations of second-order matrix differential equations using higher-degree splines. 
    Defez Candel, Emilio; Tung ., Michael Ming-Sha; Solis Lozano, Francisco Javier; Ibáñez González, Jacinto Javier (Taylor & Francis, 2015)
    Many studies of mechanical systems in engineering are based on second-order matrix models. This work discusses the second-order generalization of previous research on matrix differential equations dealing with the ...
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    Numerical solutions of matrix differential models using higher-order matrix splines 
    Defez Candel, Emilio; Hervás Jorge, Antonio; Ibáñez González, Jacinto Javier; Tung, Michael Ming-Sha (Springer Verlag (Germany), 2012-11)
    This paper deals with the construction of approximate solution of first-order matrix linear differential equations using higher-order matrix splines. An estimation of the approximation error, an algorithm for its implementation ...
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    On the inverse of the Caputo matrix exponential 
    Defez Candel, Emilio; Tung, Michael Ming-Sha; Chen-Charpentier, Benito M.; Alonso Abalos, José Miguel (MDPI AG, 2019-12)
    [EN] Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index a > 0 ...
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    Spline approximations for systems of ordinary differential equations 
    Tung, Michael Ming-Sha (2013-09-02)
    El objetivo de esta tesis doctoral es desarrollar nuevos métodos basados en splines para la resolución de sistemas de ecuaciones diferenciales del tipo Y'(x)=f(x,Y(x)) , a<x<b Y(a)=Y_a (1) donde Y_a, Y(x) ...
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    Squeezing and expanding light without reflections via transformation optics 
    García Meca, Carlos; Tung, Michael Ming-Sha; Galán Conejos, José Vicente; Ortuño Molinero, Rubén; Rodríguez Fortuño, Francisco José; Martí Sendra, Javier; Martínez Abietar, Alejandro José (2011)
    [EN] We study the reflection properties of squeezing devices based on transformation optics. An analytical expression for the angle-dependent reflection coefficient of a generic three-dimensional squeezer is derived. In ...
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    The variational principle in transformation optics engineering and some applications 
    García Meca, Carlos; Tung, Michael Ming-Sha (Elsevier, 2013)
    Transformation optics specializes in the engineering of advanced optical devices, and in combination with differential geometry it allows to control electromagnetic fields with artificial media in an unprecedented manner. ...