Développement de capteurs à fibre optique basés sur la résonance ...

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Article 2 Accepted by Sensor & Actuator A ( on 5 Nov., 1999, Reg. No, 99433 09 f07 N C H 08 Experiment P-polarisation 03 o Z 02 01 0 -20 -10 0 10 20 30 Incftient AngE (Deg,) 09 08 -g 07 N C w H 05 DA w E o Z 02 Experiment S-polarisation 01 O -30 -20 -10 0 10 Incident AngE (Deg 20 30 Fig.3 Experimental curves of the normalized light power transmitted vs. incident angle by incident light of p- and s- polarization (1i=4mm, I=l5rnm and 12=8lmrn; thickness of gold filrn=55nm; indices of measured bulk media=1.34, 1.35, 1.36, 1.37 and 1.38 respectively) 29
Article 2 Accepted by Sensor & Actuator A ( on 5 Nov,, 1999, Reg. No. 99433 3. Theoretical model 3.1 Introduction It is known that the size of core (=6OOlIm) is so large compared with the optical wavelength (2=67Onm) that the light propagation can be handled almost exactly using geometrical optics. Nevertheless, the study in skew rays is i'ather complex; authors often restricted the analysis to the case of meridional rays[5,6]. Some papers dealt with skew rays[4,7], but the variation of the direction of the electric field vector at each internal reflection along the ray propagation has not been taken into account. Surface plasmon resonance (SFR) is a resonance phenomenon occurring at metal-dielectric interface. Under certain conditions, most of the incident light energy can be transferred to the evanescent surface waves resulting in a dramatic attenuation of the reflected light intensity. 1-lowever, in non-magnetic media, evanescent surface waves could only exist for p- polarization of electromagnetic fields[8] which causes an obvious change at each reflection of' the electric field vector direction determined by the amplitude ratio of its p- and s- components. Hence, it is reasonable to believe that the SFR sensing transducer, which takes place of a section of fiber cladding, would affect the light power transmission in the multirnode optical fiber and make the effects of the p- and s- polarized illuminations be distinguishable. 3.2. Brief review of the skew ray trajectory A general skew ray undergoing into the fiber between two successive reflections is illustrated in figure 4. It has been known that the internal reflection angle P can be yielded from the equation[4,7]: cos'Y = un = sinecosl3 (1) and that the process between two successive reflections will repeat in the same way as the coordinates correspondingly rotate in XY plane after each internal reflection by the angle of m-2 in the clockwise sense. The projection drawing of the skew trajectory on the input end of the fiber can be depicted in figure 5 with BC=CD=DE=...[9]. So the analyses to the resolution of electric field vector along the light propagation can be focused to one part of the light ray between two successive reflections. 30
Page 1 and 2: 3-t N° d'ordre : ECL 2000-08 THESE
Page 3 and 4: ECOLE CENTRALE DE LYON LISTE DES PE
Page 5 and 6: Le travail, présenté dans ce mém
Page 7 and 8: Sommaire Théorie 62 Résultats et
Page 9 and 10: Résumé Général (en français) R
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Page 55 and 56: Article 3 Accepted by Applied Optic
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Développement de capteurs à fibre optique basés sur la résonance ...

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