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An Approximate Theoretical Model of Surface Plasmon Resonance Optical Waveguide and Fibre-optic Sensors

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Abstract

Optical surface plasmon resonance (SPR) excitation can be theoretically depicted and discussed using Fresnel’s equations. However, Fresnel’s equations cannot explicitly give expressions to reflect the characteristics of SPR systems, especially in SPR optical waveguide and fibre-optic sensors. In this paper a mathematical model based on the approximation proposed by Kretschmann in bulk optics is presented to describe the characteristics of SPR optical waveguide and fibre-optic sensors. The results show that the model keeps high accuracy when used in the area close to the minimum reflection, at which the resonance condition is achieved. This model can be used to analytically estimate the performance of SPR optical waveguide sensors, and SPR fibre-optic sensors in meridional rays approximation.

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Authors and Affiliations

  1. Department of Medical Physics and Bioengineering, University College London, Malet Place Engineering Building, Gower Street, London, WC1E 6BT, UK

    Yu Xu & Alan Cottenden

  2. Engineering Department, University of Leicester, University Road, Leicester, LE1 7RH, UK

    N. Barrie. Jones

Authors
  1. Yu Xu
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  2. Alan Cottenden
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  3. N. Barrie. Jones
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Correspondence to Yu Xu.

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Xu, Y., Cottenden, A. & Jones, N.B. An Approximate Theoretical Model of Surface Plasmon Resonance Optical Waveguide and Fibre-optic Sensors. Opt Quant Electron 37, 1129–1140 (2005). https://doi.org/10.1007/s11082-005-3026-y

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  • DOI: https://doi.org/10.1007/s11082-005-3026-y

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