Transfer-matrix formalism for the calculation of optical response in multilayer systems: From coherent to incoherent interference

Department of Physics and Astronomy, the University of Tennessee, Knoxville, Tennessee 37996, USA.
Optics Express (Impact Factor: 3.49). 11/2010; 18(24):24715-21. DOI: 10.1364/OE.18.024715
Source: PubMed


We present a novel way to account for partially coherent interference in multilayer systems via the transfer-matrix method. The novel feature is that there is no need to use modified Fresnel coefficients or the square of their amplitudes to work in the incoherent limit. The transition from coherent to incoherent interference is achieved by introducing a random phase of increasing intensity in the propagating media. This random phase can simulate the effect of defects or impurities. This method provides a general way of dealing with optical multilayer systems, in which coherent and incoherent interference are treated on equal footing.

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    • "We have used Θ¼0.1 which means that variations up to 10% in the thicknesses are considered for those layers of the structure beyond the 148th layer. Our approach to incorporate the effect of partially noncoherent propagation of light is different from that followed by Santbergen et al. [19] and Troparevsky et al. [20] who introduce incoherent propagation by adding a random number to δ i . Fig. 5 shows the results of adding a background contribution to R ð1Þ c due to non-coherent reflection of the endocuticle layers: "
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    Journal of Quantitative Spectroscopy and Radiative Transfer 03/2015; 154. DOI:10.1016/j.jqsrt.2015.03.014 · 2.65 Impact Factor
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    • "To find coherent transmittance and reflectance of the multilayer we use the transfer matrix method (TMM) [26] [27] [28] which takes into account multiple reflections between interfaces. We consider the monolayers as interfaces characterized by amplitude coherent transmission and reflection coefficients, and the spaces between the monolayer planes (the planes where the particle centers are located) as layers with thickness h and refractive index n env [12,40–42]. "
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    Journal of Quantitative Spectroscopy and Radiative Transfer 01/2015; 151. DOI:10.1016/j.jqsrt.2014.10.007 · 2.65 Impact Factor
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    • "It takes only a few minutes on a personal computer. It is an important improvement in terms of computational time, in comparison with other computational methods [15] [16] [17] [18] [19] [20] [21] [22] [23]. In these methods, the first step is performed several times for various incident waves, and the final result relies on a global numerical statistical analysis. "
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