Abstract

Quantitative phase microscopy with polarized light has been used to determine the change in refractive index introduced into an optical fiber when the fiber is bent through a constant radius of curvature. By obtaining phase images for two orthogonal directions of the polarization of the incident light, one can infer the induced axial strain profile within the fiber. Radii of curvature from 1 to 8 cm were considered, and in each case excellent agreement, within λ/100, was obtained between experimental results and theory.

© 2002 Optical Society of America

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References

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Y. Park, K. Oh, U. C. Paek, D. Kim, and C. R. Kurkjian, J. Lightwave Technol. 17, 1823 (1999).
[CrossRef]

N. H. Ky, H. G. Limberger, R. P. Salathé, F. Cochet, and L. Dong, Appl. Phys. Lett. 74, 516 (1999).
[CrossRef]

1998 (1)

1997 (2)

R. C. Gauthier and C. Ross, Appl. Opt. 36, 6264 (1997).
[CrossRef]

L. Faustini and G. Martini, J. Lightwave Technol. 15, 671 (1997).
[CrossRef]

1982 (1)

1978 (1)

1976 (1)

M. I. Saunders, Rev. Sci. Instrum. 47, 496 (1976).
[CrossRef]

Barty, A.

Chu, P. L.

Cochet, F.

N. H. Ky, H. G. Limberger, R. P. Salathé, F. Cochet, and L. Dong, Appl. Phys. Lett. 74, 516 (1999).
[CrossRef]

Culshaw, B.

Dong, L.

N. H. Ky, H. G. Limberger, R. P. Salathé, F. Cochet, and L. Dong, Appl. Phys. Lett. 74, 516 (1999).
[CrossRef]

Donlagiç, D.

El-Diasty, F.

Faustini, L.

L. Faustini and G. Martini, J. Lightwave Technol. 15, 671 (1997).
[CrossRef]

Gauthier, R. C.

Kawakami, S.

Kim, D.

Kurkjian, C. R.

Ky, N. H.

N. H. Ky, H. G. Limberger, R. P. Salathé, F. Cochet, and L. Dong, Appl. Phys. Lett. 74, 516 (1999).
[CrossRef]

Limberger, H. G.

N. H. Ky, H. G. Limberger, R. P. Salathé, F. Cochet, and L. Dong, Appl. Phys. Lett. 74, 516 (1999).
[CrossRef]

Martini, G.

L. Faustini and G. Martini, J. Lightwave Technol. 15, 671 (1997).
[CrossRef]

Nagano, K.

Nishida, S.

Nugent, K. A.

Oh, K.

Paek, U. C.

Paganin, D.

Park, Y.

Roberts, A.

Ross, C.

Salathé, R. P.

N. H. Ky, H. G. Limberger, R. P. Salathé, F. Cochet, and L. Dong, Appl. Phys. Lett. 74, 516 (1999).
[CrossRef]

Saunders, M. I.

M. I. Saunders, Rev. Sci. Instrum. 47, 496 (1976).
[CrossRef]

Whitbread, T.

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Figures (3)

Fig. 1
Fig. 1

Schematic showing the introduction of additional optical elements into the microscope for polarized quantitative phase microscopy. (a) Experimental layout, including the incorporation of a bandpass filter and a high-quality dichroic sheet polarizer into an Olympus BX60 microscope, (b) detail of the bent optical fiber mounted upon a microscope slide.

Fig. 2
Fig. 2

Phase images obtained of an optical fiber bent with a radius of curvature of 2 cm. The diameter of the fiber is 125 µm, and the images have dimensions 160 µm×52 µm. Images obtained with the direction of polarization (a) parallel to the axis of the fiber and (b) perpendicular to the axis of the fiber. (c) Difference between the images in (a) and (b). Note that small tilts are present in the phase images.

Fig. 3
Fig. 3

Profiles (dashed curves) though phase images δy,z for radii of curvature of (top to bottom) 1, 2, 4, and 8 cm. The largest-amplitude curve represents the data for R=1 cm, and the amplitude decreases with increasing radius of curvature. These curves were obtained by averaging of 151 profiles through the difference images after residual tilts had been removed and are compared with theoretical curves calculated from Eq. (1).

Equations (1)

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δy=Δnk2a1-y/a21/2,

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