Estudio de las funciones de reflectancia y Transmitancia en la generación de plasmones Superficiales (SPR) bajo la configuración de Kretschmann, utilizando el método de matriz de Transferencia (MMT)
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El objetivo de este trabajo fue deducir analíticamente las funciones de reflectancia y transmitancia cuando existe generación de plasmones superficiales en sistemas ópticos estratificados. El sistema estudiado es conocido en la literatura como la configuración de Kretschmann[6], esta deducción analítica se realizó de por dos caminos diferentes, inicialmente de forma funcional [7] muy común en la literatura y posteriormente con ayuda de un formalismo matemático más sólido conocido como Método de Matriz de Transferencia MMT[21], este formalismo se utiliza en la solución de problemas en materia condensada en la presencia de sistemas periódicos o no periódicos como pozos o barreras de potencial, para encontrar la solución de la función de onda. Se aplica el MMT a un sistema óptico no periódico para deducir las funciones de reflectancia y transmitancia y luego compararlas con las obtenidas funcionalmente, como ganancia de este trabajo se realizó el montaje experimental objetivo que no estaba propuesto en el proyecto de trabajo de grado inicialmente, los datos experimentales fueron utilizados para validar el modelo teórico desarrollado de forma funcional y matricial, por último se concluyen los parámetros necesarios para la excitación de plasmones superficiales y el comportamiento de las funciones de reflectancia y transmitancia.
Abstract. The aim of this work was to derive analytically the reflectance and transmittance functions when there is surface plasmon generation in optical laminates. The system studied is known in the literature as the Kretschmann configuration [6], this deduction is performed analytically in two different ways, initially functionally [7] very common in the literature and then using a stronger mathematical formalism known as transfer matrix method TMM [21], this formalism is used in solving problems in condensed matter systems in the presence of newspapers or newspapers as potential wells or barriers, to find the solution of the wave function. MMT is applied to an optical system nonperiodic functions to deduce the reflectance and transmittance and then compare them with those obtained functionally, as gain this work, the experimental objective was not proposed in the draft grade work initially, experimental data were used to validate the theoretical model developed in a functional matrix finally conclude the parameters necessary for the excitation of surface plasmons and the behavior of functions of reflectance and transmittance.
Abstract. The aim of this work was to derive analytically the reflectance and transmittance functions when there is surface plasmon generation in optical laminates. The system studied is known in the literature as the Kretschmann configuration [6], this deduction is performed analytically in two different ways, initially functionally [7] very common in the literature and then using a stronger mathematical formalism known as transfer matrix method TMM [21], this formalism is used in solving problems in condensed matter systems in the presence of newspapers or newspapers as potential wells or barriers, to find the solution of the wave function. MMT is applied to an optical system nonperiodic functions to deduce the reflectance and transmittance and then compare them with those obtained functionally, as gain this work, the experimental objective was not proposed in the draft grade work initially, experimental data were used to validate the theoretical model developed in a functional matrix finally conclude the parameters necessary for the excitation of surface plasmons and the behavior of functions of reflectance and transmittance.