### Abstract

An asymmetric surface plasmon resonance sensor response curve (SPR curve) equation derived from the three-layer Fresnel equation regarding p-polarization was proposed that can be used as a more general and appropriate SPR curve equation than Kretschmann's equation given by R(X) = (1 - α)/{(X - β)^{2} + γ^{2}}, where R is the reflectance of the incident light, α, β and γ are real parameters, and X the incident angle. The proposed equation is expressed as R(X) = A[1 - {B + C(X - D)}/{(X - D)^{2} + E^{2}}] with a minimum reflectance at a conventional resonance angle of X = D + (-B + √B^{2} + C^{2}E^{2})/C, where A, B, C, D and E are five real parameters that are very useful as fitting functions for a gold-based SPR curve in real-time measurement. In this equation, a modified resonance angle defined as parameter D is more appropriate than the conventional resonance angle as a variable that gives a linear response to changes in the refractive index of the sensing layer.

Original language | English |
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Pages (from-to) | 49-57 |

Number of pages | 9 |

Journal | Sensors and Actuators, B: Chemical |

Volume | 86 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2002 Aug 30 |

### Keywords

- Real-time measurement
- Resonance angle
- SPR curve
- Surface plasmon resonance

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Instrumentation
- Condensed Matter Physics
- Surfaces, Coatings and Films
- Metals and Alloys
- Electrical and Electronic Engineering
- Materials Chemistry

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## Cite this

*Sensors and Actuators, B: Chemical*,

*86*(1), 49-57. https://doi.org/10.1016/S0925-4005(02)00146-6