Transfer matrix formalism

The transfer matrix formalism enables us to find the modal field profile in the case of an arbitrary arrangement of annular concentric dielectric rings. However, we are especially interested in structures that can confine the modal energy near a predetermined radial distance, i.e. within the defect. 

Within the paraxial approximation for Gaussian beams, Kogelnik (1965) has shown that the analog of the transfer matrix formalism is the ABCD law for the parameter q = z - iz [cf. Eq. (17)] that is, = Aq + B)/i.Cq + D), where the ABCD coefficients may be taken from the corresponding optical system transfer matrbc in the form... 

D. Some Variations on the Theme of the Transfer Matrix Formalism... 

What we want to do in this subsection is just to present the transfer matrix formalism in such a way as to make possible extensions beyond... 

In Sect. 2.1 we discussed the many applications of optical modelling for organic solar cells. The case study we chose to present as one application of optical modelling of organic solar cells is the analysis of parasitic absorption losses in the different layers of the solar cell stack. One example is shown in Fig. 8. We calculated the absorptance of each layer in a layer stack glass/ITO (160 nm)/poly(3,4-ethylene-dioxythiophene) poly(styrenesulfonate) (PEDOT PSS) (30 nm)/poly[(4,40-bis (2-ethylhexyl)dithieno [3,2-h 20,30- 7 silole)-2,6-diyl-alt-(4,7-bis(2-thienyl)-2,l,3-benzothiadiazole)-5,50-diyl] (SiPCPDTBT) [6,6]-phenyl C71-butyric acid methyl ester (PC71BM) (100 nm)/Ca (20 nm)/Al(100 nm). The transfer matrix formalism... 

GNM = Gaussian network model H = hydrophobic residues P = polar residues PDB = Protein Data Bank SAW = self-avoiding walks S-B = side chain-backbone S-S = side chain-side chain TMF = transfer matrix formalism. 

Figure 3 Dependence of the total number W of SAWs that may be generated on a square lattice of size m x n on the dimensions of the lattice. Curves are found for various combinations of m and n values, as indicated, using the transfer matrix formalism of conformation generation ...

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