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Cut-off frequency variation in optical waveguides due to photon tunnelling

A Rostami

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We show that the cut-off frequency (low corner frequency) for an undersized waveguide can change due to the photon tunnelling phenomenon. The Helmholtz wave equation will be used to calculate the tunnelling time of a photon through a refraction index barrier. We report an analytical expression for the transit time of the photon in a refraction index barrier as well as the transmission coefficient. It is predicted that the tunnelling time depends on the refraction index, the thickness of the barrier and also on the incident wave frequency. We will exploit this idea to obtain light coupling to a classically forbidden region, hence describing the cut-off frequency variation. A comparison with the experimental data is also reported.


PACS

42.79.Gn Optical waveguides and couplers

78.20.Ci Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity)

02.30.Jr Partial differential equations

42.50.Ar Photon statistics and coherence theory

Subjects

Mathematical physics

Condensed matter: electrical, magnetic and optical

Optics, quantum optics and lasers

Dates

Issue 6 (November 2002)

Received 26 November 2001, in final form 1 August 2002

Published 13 September 2002



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