Volume 108, Number 1, October 2014
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||01 October 2014|
Contribution of evanescent waves to the effective medium of disordered waveguides
1 Condensed Matter Physics Center (IFIMAC), Departamento de Física de la Materia Condensada and Instituto “Nicolás Cabrera”, Universidad Autónoma de Madrid - E-28049, Madrid, Spain
2 Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa - Apartado Postal 55-534, 09340 México Distrito Federal, México
3 Donostia International Physics Center (DIPC) - Paseo Manuel Lardizabal 4, 20018 Donostia-San Sebastian, Spain
Received: 23 July 2014
Accepted: 14 September 2014
We consider a wave propagating through a thin disordered slab inside a wire or waveguide of finite width. In the dense weak-scattering limit, the statistics for the complex reflection and transmission coefficients (the coherent field) is found to depend dramatically on the contribution of evanescent modes or closed channels, leading to an effective refractive index whose real part is quite sensitive to the closed-channels inclusion. In contrast, evanescent modes play no role in the statistical average of transmittances and reflectances. The theoretical predictions, based on the perturbative Born series expansion, are in excellent agreement with numerical simulations in disordered wires.
PACS: 73.23.-b – Electronic transport in mesoscopic systems / 42.82.Et – Waveguides, couplers, and arrays / 73.63.Nm – Quantum wires
© EPLA, 2014
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