2011
DOI: 10.1063/1.3583496
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Model for reflection and transmission matrices of nanowire end facets

Abstract: Nanowires show a large potential for various electrooptical devices, such as light emitting diodes, solar cells and nanowire lasers. We present a method developed to calculate the modal reflection and transmission matrix at the end facets of a waveguide of arbitrary cross-section, resulting in a generalized version of the Fresnel equations. The reflection can be conveniently computed using Fast Fourier Transforms, once the waveguide modes are known. We demonstrate that the reflection coefficient is qualitative… Show more

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Cited by 10 publications
(18 citation statements)
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“…Svendsen et al reached similar conclusions after applying a semianalytical approach based on reflection matrices to both wide bandgap materials and GaAs/AlGaAs core/shell nanowires [93]. Wang et al made a complete investigation into the reflectance and quality factor of the resonant modes as a function of the radius and length of a propagating modes versus diameter in infinite cylindrical nanowires for different semiconducting materials, with respect to their emission wavelength.…”
Section: (A) Waveguiding Mechanism and Bare Resonatorsmentioning
confidence: 73%
“…Svendsen et al reached similar conclusions after applying a semianalytical approach based on reflection matrices to both wide bandgap materials and GaAs/AlGaAs core/shell nanowires [93]. Wang et al made a complete investigation into the reflectance and quality factor of the resonant modes as a function of the radius and length of a propagating modes versus diameter in infinite cylindrical nanowires for different semiconducting materials, with respect to their emission wavelength.…”
Section: (A) Waveguiding Mechanism and Bare Resonatorsmentioning
confidence: 73%
“…With the demand for device miniaturization, coupling to and from evanescent modes becomes increasingly important. For instance, when considering the end-facet reflection and transmission of nanowire lasers, or the reflection and transmission of nanowire Bragg reflectors, the evanescent waveguide modes play an important role [6,7]. For certain metal-dielectric waveguides, there are modes with complex propagation constants [8,9], even though the material is lossless.…”
Section: Introductionmentioning
confidence: 99%
“…The refractive index contrast between the semiconductor nanowire and its surroundings is typically very large; the simplest nanowire-laser designs could thus use the cleaved end facets as reflectors. With such designs, the reflectivity of the guided lasing mode is quite moderate for single mode semiconductor nanowire lasers (∼ 25% for GaAsbased nanowire, ∼ 18% for ZnO based) [4][5][6] . Bragg gratings have been proposed to obtain a higher end facet reflectivity.…”
Section: Introductionmentioning
confidence: 99%