A matrix method for heat conduction in multi-layered media

1969 ◽  
Vol 73 (1) ◽  
pp. 143-151 ◽  
Author(s):  
Janardan G. Negi ◽  
Rishi Narain Singh
Keyword(s):  
Heat Conduction ◽  
Matrix Method ◽  
Layered Media

scholarly journals Исследование плазмонно-связанной флуоресценции родамина 6Ж на тонких никелевых пленках

2019 ◽  
Vol 127 (8) ◽  
pp. 264
Author(s):  
А.Д. Дмитриев ◽  
А.М. Салецкий
Keyword(s):  
Spatial Distribution ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Rhodamine 6G ◽  
Layered Media ◽  
Nickel Film ◽  
Dye Molecules ◽  
Thin Nickel ◽  
Rhodamine 6G Dye

The plasmon-coupled luminescence of rhodamine 6G dye molecules on a thin nickel film was experimentally and theoretically studied. The spatial distribution of the fluorescence of dye molecules, calculated using the transfer matrix method for the description of plane-layered media, agrees well with the experimental diagrams obtained for the spatial distribution of radiation of different polarization. The efficiency of the coupling of the fluorophor with the plasmons of a nickel film has been experimentally established.

Seismogram synthesis for multi-layered media with irregular interfaces by global generalized reflection/transmission matrices method. I. Theory of two-dimensional SH case

1990 ◽  
Vol 80 (6A) ◽  
pp. 1696-1724 ◽  
Author(s):  
Xiao-fei Chen
Keyword(s):  
Matrix Method ◽  
Computation Time ◽  
Source Area ◽  
Layered Media ◽  
Two Dimensional ◽  
Finite Frequency ◽  
Number Of Layers ◽  
Efficient Scheme ◽  
T Matrix ◽  
Irregular Topography

Abstract In this paper, we present a new method of seismogram synthesis for multi-layered media with irregular interfaces due to an arbitrary source. This method can be viewed as either an extension of the T matrix method for an inclusion to multi-layered media by introducing the global generalized R/T matrices, or an extension of the generalized R/T coefficients method for horizontally layered media to irregular layered ones by incorporating the T matrix method. The formulation obtained in this paper is expressed in terms of the global generalized R/T matrices. These global generalized R/T matrices can be determined from integrals along each interface and integral over source area via a recursive relation. This formulation provides an efficient scheme of computation, especially when the number of layers increases. Also, this formulation can be applied to any finite frequency, although for higher frequency it needs more computation time than for lower frequency. As examples, we give solutions of three specific problems, namely, horizontally layered media, irregular topography, and an irregular layer over a half-space.

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