Modeling of Fiber Optic Gold SPR Sensor Using Different Dielectric Function Models: A Comparative Study
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Modeling of Fiber Optic Gold SPR Sensor Using Different Dielectric Function Models: A Comparative Study Adel R. Sarhan 1
&
Bedir Bedir Yousif 2,3 & Nihal F. F. Areed 2 & Salah S. A. Obaya 2,4
Received: 9 November 2019 / Accepted: 4 May 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The performance of surface plasmon resonance (SPR) sensors has great dependence on its plasmonic material’s frequency response, which is described by the complex dielectric function. Through history, researchers developed and enhanced mathematical models to accurately describe the material dielectric function. Although many papers compared the accuracy of different dielectric function models and stated its limitations, none of it addressed the effect of dielectric function model on the SPR sensor’s characteristics. In this paper, we investigated the performance of the three most used dielectric function models (Drude, Lorentz-Drude, and Brendel-Bormann) and their effect on the theoretically obtained sensor parameters when used in a gold SPR sensor’s model and validated it with the experimentally measured dielectric function. The result showed that using less accurate dielectric function’s model has a drastic effect on the theoretically obtained sensor’s parameters. Among the three models, the widely used Drude model was not the most accurate; alternatively, Brendel-Bormann model was the most accurate. Keywords Surface plasmon resonance . Dielectric function . Fiber optic sensor . Drude . Lorentz . Brendel-Bormann
Introduction Surface plasmon resonance occurs when a photon hits the interface between two materials with dielectric function of opposite signs (typically, a metal film and a dielectric). At a certain angle of incidence, electrons in the metal surface layer absorb a portion of the p-polarized incident light and oscillates in response to light excitation. These electron excitations are called plasmons. They propagate parallel to the metal surface generating a surface plasmon wave (SPW) in the interface. SPW frequency depends on the parameters of the sample
* Adel R. Sarhan [email protected] Bedir Bedir Yousif [email protected] 1
Electronics and Communications Department, Faculty of Engineering, Alexandria University, Alexandria, Egypt
2
Electronics and Communications Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt
3
Electronics and Communications Department, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, Egypt
4
Zewail City of Science and Technology, Giza, Egypt
solution near the interface, namely, on the average refractive index near the sensor’s surface [1–3]. Because of its prominent features such as its sensitivity, fast response, great accuracy, radio frequency interference (RFI), and electromagnetic interference (EMI) immunity and its relatively small size and low cost, surface plasmon resonance (SPR) sensors have been a major subject of interest during the last two decade [4, 5]. The first observed SPR phenomena were by Wood
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