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

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

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Article I<br />

Submitted to Thin Solid films<br />

X<br />

Fig.Al. Schematic diagram of n-<strong>la</strong>yer stratified configuration<br />

E1=A11exp[i k21 (z-z»j,)] (1,0,-k1/k21)-B11exp[-i k21 (z-z»1)] (1,0, k1/k2)<br />

H1=koA11exp[i k21 (z-z» j,)] (0, k1/k21,0,)+k0 B11 exp[-i k21 (z-z»z,)] (0, k1/k21,0)<br />

where k0=2Tc/2. and<br />

k21[ko2 k12]'2 (3)<br />

where A. is the light wavelength and k0 is the amplitu<strong>de</strong> of wave vector in vacuum, k2 and k1 =<br />

k0 n1 sini are wave vector components in media along the z and x directions respectively,<br />

here ji is the angle of inci<strong>de</strong>nce.<br />

By applying the boundary conditions at z=z1 interface, the re<strong>la</strong>tion between the parameters<br />

in the <strong>la</strong>yers ofj and j+1 can be obtained<br />

A<br />

A,<br />

= M(,j+I)<br />

B J<br />

2a1ß<br />

where M(i,j+1) is a matrix<br />

a11 +a1 a11 a1<br />

M(j,j+l)= (5)<br />

here<br />

+<br />

k21 (6)<br />

(4)<br />

20

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