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

Kazuyoshi Kurihara, Kaori Nakamura, Koji Suzuki

Research output: Contribution to journalArticle

74 Citations (Scopus)

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 + 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.

Original languageEnglish
Pages (from-to)49-57
Number of pages9
JournalSensors and Actuators, B: Chemical
Volume86
Issue number1
DOIs
Publication statusPublished - 2002 Aug 30

Fingerprint

curve fitting
Curve fitting
Surface plasmon resonance
sensors
Sensors
surface plasmon resonance
Time measurement
Gold
Refractive index
curves
Polarization
reflectance
time measurement
refractivity
gold
polarization

Keywords

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

ASJC Scopus subject areas

  • Analytical Chemistry
  • Electrochemistry
  • Electrical and Electronic Engineering

Cite this

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

In: Sensors and Actuators, B: Chemical, Vol. 86, No. 1, 30.08.2002, p. 49-57.

Research output: Contribution to journalArticle

Kurihara, Kazuyoshi ; Nakamura, Kaori ; Suzuki, Koji. / Asymmetric SPR sensor response curve-fitting equation for the accurate determination of SPR resonance angle. In: Sensors and Actuators, B: Chemical. 2002 ; Vol. 86, No. 1. pp. 49-57.
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