Open Access Paper
3 June 2007 Using a wavelength tunable diode laser to measure the beat length of a birefringent fiber
Fang-Wen Sheu, Shu-Chun Yang
Author Affiliations +
Proceedings Volume 9665, Tenth International Topical Meeting on Education and Training in Optics and Photonics; 96650W (2007) https://doi.org/10.1117/12.2207339
Event: Tenth International Topical Meeting on Education and Training in Optics and Photonics, 2007, Ottawa, Ontario, Canada
Abstract
In this report we demonstrated a method for measuring the beat length of a birefringent fiber. In this method the beat length is determined from the wavelength dependence of the phase difference between two orthogonally polarized modes at the output end of a sample fiber. In addition to the mode hopping of the laser diode’s optical wavelength due to the temperature variation, we have also observed the phase hopping of the output light polarization at the end face of the birefringent fiber. It is a simple and precise method to determine the birefringence magnitude of anisotropic materials in an optics laboratory course.

1.

Introduction

In heterodyne-type optical communications or some kinds of fiber-optic measurement, the polarization state of the received signal must be kept constant. To meet this requirement, various birefringent fibers have been developed in which the propagation constants of two orthogonally polarized modes (HEx and HEy) are different. The degree of such modal birefringence is often expressed by the beat length between these two modes. There are many methods to measure the beat length. In this report, the beat length is determined from the wavelength dependence of the phase difference between the two modes at the output end of a sample fiber [1].

2.

Experimental Setup and Principle of Measurement

Figs. 1(a) and 1(b) show the schematic diagram and photograph of the experiment setup. An AlGaInP diode laser (THORLABS DL3147-060 Sanyo) is used as the light source. As shown in Fig. 2, the optical wavelength is tunable by controlling the laser diode’s temperature, and the laser spectrum is measured by an optical spectrum analyzer (ADVANTEST Q8384). The linearly polarized laser light, having a polarization angle of 45° with respect to the principal axes of the birefringent sample fiber [Figs. 1(c) and 1(d), 3M FS-PM-7811,Δn = 7.718× 10−4 ], is launched at the fiber input end via a microscopic objective lens [2]. The phase difference between the HEx and HEy modes at the fiber output end is given as ϕ = ℓ Δβ, where 00031_psisdg9665_96650W_page_1_1.jpg denotes the difference in the propagation constants of the two modes and is the fiber length. The phase difference ϕ can be determined from the maximum and minimum transmitted light intensities Ia and Ib, respectively, of the elliptical polarization as 00031_psisdg9665_96650W_page_1_2.jpg, when we rotate an analyzer behind the fiber and measure the transmitted optical power. Because of the variation of the device temperature, the optical wavelength λ of the laser light source is swept by a small amount of Δλ, where ∣Δλ∣ << λ. Then the change in ϕ induced by Δλ is given as 00031_psisdg9665_96650W_page_1_3.jpg. Using the definition of beat length 00031_psisdg9665_96650W_page_1_4.jpg, it can be rewritten as 00031_psisdg9665_96650W_page_1_5.jpg. Thus, by measuring the phase difference ϕ as a function of the wavelength λ, we can calculate the ϕ-λ relationship and hence obtain the value of beat length LB.

Fig. 1.

The (a) schematic diagram amd (b) photograph of the experimental setup. (c) The birefringent fiber under test in a rotary mount. (d) The cross-section picture of the birefringent fiber (3M Single Mode Polarization Maintaining Fiber, FS-PM-7811, THORLABS INC. Catalog 2004).

00031_psisdg9665_96650W_page_2_1.jpg

Fig. 2.

The laser optical wavelength versus the laser diode’s temperature.

00031_psisdg9665_96650W_page_3_1.jpg

3.

Experimental Results

The wavelength dependence on the device temperature reveals a discontinuous change because of the mode hopping of the laser diode. As shown in Fig. 2, there are two kinds of longitudinal modes, one of which has a center wavelength λc = 656.556 nm and the other has λc = 656.79 nm. The corresponding measured ϕ-λ diagrams also exhibit a hopping phenomenon and are shown in Figs. 3(a) and 3(b). The slopes of their linear fitting curves are 00031_psisdg9665_96650W_page_3_2.jpg respectively. The predicted beat lengths LB = λc/Δn are 0.8507 mm and 0.8509 mm, respectively. The sample fiber has a length = 7.2 cm. Using the relationship 00031_psisdg9665_96650W_page_3_3.jpg we can calculate the measured beat length LB to be 0.8366 mm and 0.8272 mm for the two kinds of longitudinal modes, and the error percents are 1.657 % and 2.785 %, respectively. The errors may be due to the device thermal fluctuation in tuning the temperature of the laser diode.

Fig. 3.

The measured results and linear fits of the phase difference ϕ as a function of the wavelength λ for (a) the longitudinal mode with center wavelength λc = 656.556 nm, and (b) another longitudinal mode with center wavelength λc = 656.79 nm.

00031_psisdg9665_96650W_page_3_4.jpg

4.

Conclusion

We have successfully achieved measuring the beat length of a birefringent fiber by a wavelength tunable diode laser. In this method the beat length is determined from the wavelength dependence of the phase difference between two orthogonally polarized modes at the output end of a sample fiber. In addition to the mode hopping of the laser diode’s optical wavelength due to the temperature variation, we have also observed the phase hopping of the output light polarization at the end face of the birefringent fiber, because the fiber length is far larger than that of the birefringent retardation wave plates. In an optics laboratory course, this simple method can be used to determine the value of beat length, or the magnitude of birefringence, of any anisotropic materials precisely.

Acknowledgements

We acknowledge the financial support from the National Science Council, Taiwan, through project NSC-95-2815-C-415-003-M.

References

[1] 

K. Kikuchi and T. Okoshi, “Wavelength-sweeping technique for measuring the beat length of linearly birefringent optical fibers,” Opt. Lett., 8 122 (1983). https://doi.org/10.1364/OL.8.000122 Google Scholar

[2] 

Ch. Silberhorn, P. K. Lam, O. Weiß, F. König, N. Korolkova, and G. Leuchs, “Generation of Continuous Variable Einstein-Podolsky-Rosen Entanglement via the Kerr Nonlinearity in an Optical Fibre,” Phys. Rev. Lett., 86 4267 (2001). https://doi.org/10.1103/PhysRevLett.86.4267 Google Scholar
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Fang-Wen Sheu and Shu-Chun Yang "Using a wavelength tunable diode laser to measure the beat length of a birefringent fiber", Proc. SPIE 9665, Tenth International Topical Meeting on Education and Training in Optics and Photonics, 96650W (3 June 2007); https://doi.org/10.1117/12.2207339
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KEYWORDS
Semiconductor lasers

Laser optics

Birefringence

Polarization

Tunable diode lasers

Diodes

Fiber lasers

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