### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Analytical Chemistry
- Electrochemistry
- Electrical and Electronic Engineering

### Cite this

*Sensors and Actuators, B: Chemical*,

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

**Asymmetric SPR sensor response curve-fitting equation for the accurate determination of SPR resonance angle.** / Kurihara, Kazuyoshi; Nakamura, Kaori; Suzuki, Koji.

Research output: Contribution to journal › Article

*Sensors and Actuators, B: Chemical*, vol. 86, no. 1, pp. 49-57. https://doi.org/10.1016/S0925-4005(02)00146-6

}

TY - JOUR

T1 - Asymmetric SPR sensor response curve-fitting equation for the accurate determination of SPR resonance angle

AU - Kurihara, Kazuyoshi

AU - Nakamura, Kaori

AU - Suzuki, Koji

PY - 2002/8/30

Y1 - 2002/8/30

N2 - 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 + γ2}, 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 + E2}] with a minimum reflectance at a conventional resonance angle of X = D + (-B + √B2 + C2E2)/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.

AB - 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 + γ2}, 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 + E2}] with a minimum reflectance at a conventional resonance angle of X = D + (-B + √B2 + C2E2)/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.

KW - Real-time measurement

KW - Resonance angle

KW - SPR curve

KW - Surface plasmon resonance

UR - http://www.scopus.com/inward/record.url?scp=0037199874&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037199874&partnerID=8YFLogxK

U2 - 10.1016/S0925-4005(02)00146-6

DO - 10.1016/S0925-4005(02)00146-6

M3 - Article

AN - SCOPUS:0037199874

VL - 86

SP - 49

EP - 57

JO - Sensors and Actuators, B: Chemical

JF - Sensors and Actuators, B: Chemical

SN - 0925-4005

IS - 1

ER -