0246810
-18
-16
-14
-12
-10
-8
-6
-4
-2
0
Peak wavelength shift [nm]
Strain [mε]
Waist diameter [μm]
 30
 20
 10
20 30 40 50 60 70 80
0.0
0.2
0.4
0.6
0.8
1.0
 
Waist diameter [μm]
 30
 20
 10
Peak wavelength shift [nm]
Temperature [
ο
C]
1.314 1.316 1.318 1.320
0
1
2
3
4
5
6
 
 
Waist diameter [μm]
 30
 20
 10
Peak wavelength shift [nm]
Ambient index [A.U.]
(a)
(b)
(c)
 
Figure 3: Peak wavelength shifts of the tapered MCFs with various waist diameters as functions of strain (a), temperature 
(b), and ambient index (c), respectively.  
respectively. The peak wavelength of the tapered 
MCF was shifted to longer wavelength as 
temperature increased. The reduction of the waist 
diameter of the tapered MCF degraded its 
temperature sensitivity (14.2 pm/
o
C for 30 μm, 7.9 
pm/
o
C for 20 μm, and 3.8 pm/
o
C for 10 μm) as seen 
in Fig. 3(b). In Fig. 3(c), the peak wavelength of the 
tapered MCF shifted to longer wavelength as the 
ambient index was increased. The ambient index 
sensitivity of the tapered MCF should be improved 
by reducing the waist diameter of the tapered MCF. 
The ambient index sensitivities of the tapered MCF 
with waist diameters of 30, 20, 10 mm were 
measured to be 358.6, 542.7, 809.6 nm/RIU, 
respectively. 
3 CONCLUSIONS 
In conclusion, we discussed transmission 
characteristics of an in-line modal coupler based on 
the adiabatically tapered MCF with variations in 
strain, temperature, and ambient index. By 
controlling the waist diameters, we investigated the 
sensitivity variation of the adiabatically tapered 
MCF to strain, temperature, and ambient index 
changes. The reduction of the waist diameter 
improved the coupling strength among the multiple 
core modes in the in-line modal coupler because of 
the variation of the evanescent field and the pitch 
size. The modal coupling of the in-line modal 
coupler apparently generated the transmission 
oscillation of the center core and the multiple side 
core modes depending on the waist diameter. The 
extinction ratio of the transmission oscillation was 
gradually improved by diminishing the waist 
diameter to be ~30 μm because of the enhancement 
of the coupling strength among the multiple core 
modes. The further reduction of the waist diameter 
degraded the transmission oscillation of the in-line 
modal coupler because of the sinusoidal dependence 
of the normalized intensities of the center core and 
multiple side core modes on the coupling coefficient 
and the propagation distance. The reduction of the 
waist diameter of the adiabatically tapered MCF 
could dramatically change its sensitivities to strain, 
temperature, and ambient index. We believe that 
experimental results are very useful to fabricate the 
in-line modal coupler based on the MCF and to 
improve the performance of the fiber-optic sensors 
by controlling the waist diameter of the adiabatically 
tapered MCF.  
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