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The reflection and transmission spectra of the photonic crystals were calculated by transfer matrix method of thin-film optical theory.

A few of mistakes made in transfer matrix method of Airy functions in previous literatures have been identified and corrected in this work.

It is shown that our improved transfer matrix method of Airy functions is more promising for evaluating and designing intra-band transition far-infrared detectors and quantum cascade lasers.

The optical properties of an annular periodic multilayer structure containing two kinds of single-negative materials are theoretically investigated based on the transfer matrix method of the cylindrical waves.

By using our improved transfer matrix method of Airy functions, quasi-bound level dependence upon carrier effective masses, bias, well width, barrier width and height has been investigated systematically for several biased/unbiased double/triple-barrier quantum well structures.

The paper presents a technique for reliability analysis of frames using the stiffness matrix method of linear elastic and piecewise linear elastic-plastic structural analysis and the first order second moment reliability method.

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Finally, the convergence of the matrix method on a binary tree is shown in Fig. 7.

The application of the transfer matrix method to problems of fluid flow in planar curved pipes is presented.

Here, we demonstrate an example realisation of the matrix method for a dendritic structure of three branches of equal length Δx, shown in Fig. 2.

The matrix method for spectral analysis of this report required 1.2 ms, while the fminsearch required 120 ms, which is a 100-fold increase in speed.

This is evident from the application of matrix methods to the analysis of complex plant samples [ 53], development of new matrix-like approaches [ 54, 61] and methods aimed to identify differences in high-throughput GC-MS data [ 29, 68, 71].

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