Article

# 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: 3.53). 11/2010; 18(24):24715-21. DOI: 10.1364/OE.18.024715 Source: PubMed

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**ABSTRACT:**An analysis and design of an optical biosensor is presented considering a one-dimensional photonic crystal, which is in form of periodic dielectric media. In order to study the properties of 1D PC in terms of reflectance (R), transmittance (T), field intensity and sensitivity; we have employed the transfer matrix method (TMM). A design of the optical biosensors is thus proposed by considering the 1D PC structure like S/(HL)N/S having two different materials of high H and low L refractive indices, respectively, and S represents the substrate. In 1D PC, there exists a defect layer X, breaking the periodic structure as S/H(LH)N/2/X/(HL)N/2H/S, and a defect state (resonance mode) will appear at a certain position in the band gap. In our work, we have made theoretical analysis of a perfect optical biosensor using the 1D PC based on label-free optical sensing, which does not use fluorescence based-detection, where porous silicon interacts with biomolecule and reduces its refractive index by biomolecular reaction. The designed sensor identifies the molecule on the basis of two parameters with the change in the characteristic peaks in the obtained curves, that are, the electric field intensity and sensitivity with varying the total thickness of the material. This analysis can be useful to design an optical sensor with 1D PC and to evaluate the performance of biosensors in terms of high sensitivity, resolution or detection limit.Optik - International Journal for Light and Electron Optics 11/2014; · 0.77 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A generalized transmission line method (TLM) that provides reflection and transmission calculations for a multilayer dielectric structure with coherent, partial coherent, and incoherent layers is presented. The method is deployed on two different application fields. The first application of the method concerns the thickness measurement of the individual layers of an organic light-emitting diode. By using a fitting approach between experimental spectral reflectance measurements and the corresponding TLM calculations, it is shown that the thickness of the films can be estimated. The second application of the TLM concerns the calculation of the external quantum efficiency of an organic photovoltaic with partially coherent rough interfaces between the layers. Numerical results regarding the short circuit photocurrent for different layer thicknesses and rough interfaces are provided and the performance impact of the rough interface is discussed in detail.Applied Optics 02/2015; 54(6). · 1.69 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We introduce a model allowing convenient calculation of the spectral reflectance and transmittance of duplex prints. It is based on flux transfer matrices and enables retrieving classical Kubelka–Munk formulas, as well as extended formulas for nonsymmetric layers. By making different assumptions on the flux transfers, we obtain two predictive models for the duplex halftone prints: the “duplex Clapper–Yule model,” which is an extension of the classical Clapper–Yule model, and the “duplex primary reflectance–transmittance model.” The two models can be calibrated from either reflectance or transmittance measurements; only the second model can be calibrated from both measurements, thus giving optimal accuracy for both reflectance and transmittance predictions. The conceptual differences between the two models are deeply analyzed, as well as their advantages and drawbacks in terms of calibration. According to the test carried out in this study with paper printed in inkjet, their predictive performances are good provided appropriate calibration options are selected.Journal of the Optical Society of America A 12/2014; 31(12). · 1.67 Impact Factor

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