Abstract

We present a novel design for a Sagnac loop filter (SLF) whose periodic output spectrum can be fully controlled by cascading a small-birefringence loop (SBL) with a high-birefringence loop (HBL). We develop a detailed theoretical analysis, using the Jones vector method, to calculate the transfer function of the tunable SLF. It has been quantitatively shown that both the transmission coefficient and the phase of the SLF can be controlled by adjusting the orientation angle of the birefringent axes of the SBL in the plane of polarization. The theory has been confirmed by experimental results where a stress-induced SBL was mechanically rotated to tune both the wavelength and the power of a periodic output spectrum. Such a tunable SLF is used in the design of a multiwavelength erbium-doped fiber laser in the C band.

© 2008 Optical Society of America

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    [CrossRef]
  2. J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
    [CrossRef]
  3. Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
    [CrossRef]
  4. S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
    [CrossRef]
  5. Y. G. Han and S. B. Lee, “Flexibly tunable multi-wavelength erbium doped fiber laser based on four-wave mixing effect in dispersion shifted fibers,” Opt. Express 13, 10134-10139(2005).
    [CrossRef] [PubMed]
  6. X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
    [CrossRef]
  7. M. A. Mirza and G. Stewart, “Design of a multi-wavelength fibre laser using an intra-cavity phase modulator and Sagnac loop filter for sensor applications,” Proc. SPIE 6619, K1-K4 (2007).
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    [CrossRef]
  11. S. Li, K. S. Chiang, and W. A. Gambling, “Gain flattening of an erbium doped fiber amplifier using a high birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 13, 942-944 (2001).
    [CrossRef]
  12. N. J. C. Libatique and R. K. Jain, “A broadly tunable wavelength-selectable WDM source using a fiber Sagnac loop filter,” IEEE Photonics Technol. Lett. 13, 1283-1285 (2001).
    [CrossRef]
  13. K. L. Lee, M. P. Fock, S. M. Wan, and C. Shu, “Optically controlled Sagnac loop comb filter,” Opt. Express 12, 6335-6340 (2004).
    [CrossRef] [PubMed]
  14. H. C. Lefevre, “Single-mode fibre fractional wave devices and polarization controllers,” Electron. Lett. 16, 778-780 (1980).
    [CrossRef]
  15. I. Yoon, Y. W. Lee, J. Jung, and B. Lee, “Tunable multiwavelength fiber laser employing a comb filter based on a polarization-diversity loop configuration,” J. Lightwave Technol. 24, 1805-1811 (2006).
    [CrossRef]
  16. J. Marshall, G. Stewart, and G. Whitenett, “Design of a tuneable L-band multi-wavelength laser system for application to gas spectroscopy,” Meas. Sci. Technol. 17, 1023-1031 (2006).
    [CrossRef]
  17. N. J. Muga, A. N. Pinto, M. F. S. Ferreira, and J. R. F. da Rocha, “Uniform polarization scattering with fiber coil-based polarization controllers,” J. Lightwave Technol. 24, 3932-3943(2006).
    [CrossRef]
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    [CrossRef]
  19. E. A. Kuzin, B. Ibarra-Escamilla, D. E. Garcia-Gomez, and J. W. Haus, “Fiber laser mode locked by a Sagnac interferometer with nonlinear polarization rotation,” Opt. Lett. 26, 1559-1561 (2001).
    [CrossRef]
  20. O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
    [CrossRef]
  21. B. Ibarra-Escamilla, E. A. Kuzin, P. Zaca-Morán, R. Grajales-Coutiño, F. M. Martinez, O. Pottiez, R. Rojas-Laguna, and J. W. Haus, “Experimental investigation of the nonlinear optical loop mirror with twisted fiber and birefringence bias,” Opt. Express 13, 10760-10767 (2005).
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    [CrossRef]
  24. D. B. Mortimore, “Fiber loop reflectors,” J. Lightwave Technol. 6, 1217-1224 (1988).
    [CrossRef]

2007 (1)

M. A. Mirza and G. Stewart, “Design of a multi-wavelength fibre laser using an intra-cavity phase modulator and Sagnac loop filter for sensor applications,” Proc. SPIE 6619, K1-K4 (2007).

2006 (3)

2005 (7)

Y. G. Han and S. B. Lee, “Flexibly tunable multi-wavelength erbium doped fiber laser based on four-wave mixing effect in dispersion shifted fibers,” Opt. Express 13, 10134-10139(2005).
[CrossRef] [PubMed]

B. Ibarra-Escamilla, E. A. Kuzin, P. Zaca-Morán, R. Grajales-Coutiño, F. M. Martinez, O. Pottiez, R. Rojas-Laguna, and J. W. Haus, “Experimental investigation of the nonlinear optical loop mirror with twisted fiber and birefringence bias,” Opt. Express 13, 10760-10767 (2005).
[CrossRef] [PubMed]

F. Ahmed, N. Kishi, and T. Miki, “Multi-wavelength erbium-doped fibre Fabry-Perot laser and its uniform spectral lines power operation,” IEEE Photonics Technol. Lett. 17, 753-755 (2005).
[CrossRef]

J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
[CrossRef]

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, “Stable and broad bandwidth multi-wavelength fiber ring laser incorporating a highly non-linear photonic crystal fiber,” IEEE Photonics Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

2004 (2)

O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
[CrossRef]

K. L. Lee, M. P. Fock, S. M. Wan, and C. Shu, “Optically controlled Sagnac loop comb filter,” Opt. Express 12, 6335-6340 (2004).
[CrossRef] [PubMed]

2003 (1)

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

2001 (4)

E. A. Kuzin, N. Korneev, J. W. Haus, and B. Ibarra-Escamilla, “Theory of nonlinear loop mirrors with twisted low-birefringence fiber,” J. Opt. Soc. Am. B 18, 919-925 (2001).
[CrossRef]

E. A. Kuzin, B. Ibarra-Escamilla, D. E. Garcia-Gomez, and J. W. Haus, “Fiber laser mode locked by a Sagnac interferometer with nonlinear polarization rotation,” Opt. Lett. 26, 1559-1561 (2001).
[CrossRef]

S. Li, K. S. Chiang, and W. A. Gambling, “Gain flattening of an erbium doped fiber amplifier using a high birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 13, 942-944 (2001).
[CrossRef]

N. J. C. Libatique and R. K. Jain, “A broadly tunable wavelength-selectable WDM source using a fiber Sagnac loop filter,” IEEE Photonics Technol. Lett. 13, 1283-1285 (2001).
[CrossRef]

2000 (1)

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

1995 (1)

1988 (1)

D. B. Mortimore, “Fiber loop reflectors,” J. Lightwave Technol. 6, 1217-1224 (1988).
[CrossRef]

1980 (1)

H. C. Lefevre, “Single-mode fibre fractional wave devices and polarization controllers,” Electron. Lett. 16, 778-780 (1980).
[CrossRef]

1979 (1)

Ahmed, F.

F. Ahmed, N. Kishi, and T. Miki, “Multi-wavelength erbium-doped fibre Fabry-Perot laser and its uniform spectral lines power operation,” IEEE Photonics Technol. Lett. 17, 753-755 (2005).
[CrossRef]

Alvarado-Méndez, E.

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Andrade-Lucio, J. A.

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Chiang, K. S.

S. Li, K. S. Chiang, and W. A. Gambling, “Gain flattening of an erbium doped fiber amplifier using a high birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 13, 942-944 (2001).
[CrossRef]

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

Chu, B. C. B.

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

Claus, R. O.

da Rocha, J. R. F.

Demokan, M. S.

A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, “Stable and broad bandwidth multi-wavelength fiber ring laser incorporating a highly non-linear photonic crystal fiber,” IEEE Photonics Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Deng, Z.

J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
[CrossRef]

Dong, X. P.

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

Estudillo-Ayala, J. M.

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Fang, X.

Ferreira, M. F. S.

Fock, M. P.

Gambling, W. A.

S. Li, K. S. Chiang, and W. A. Gambling, “Gain flattening of an erbium doped fiber amplifier using a high birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 13, 942-944 (2001).
[CrossRef]

Garcia-Gomez, D. E.

Grajales-Coutiño, R.

Han, Y. G.

Y. G. Han and S. B. Lee, “Flexibly tunable multi-wavelength erbium doped fiber laser based on four-wave mixing effect in dispersion shifted fibers,” Opt. Express 13, 10134-10139(2005).
[CrossRef] [PubMed]

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

Haus, J. W.

Hu, S.

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

Ibarra-Escamilla, B.

B. Ibarra-Escamilla, E. A. Kuzin, P. Zaca-Morán, R. Grajales-Coutiño, F. M. Martinez, O. Pottiez, R. Rojas-Laguna, and J. W. Haus, “Experimental investigation of the nonlinear optical loop mirror with twisted fiber and birefringence bias,” Opt. Express 13, 10760-10767 (2005).
[CrossRef] [PubMed]

O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
[CrossRef]

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

E. A. Kuzin, N. Korneev, J. W. Haus, and B. Ibarra-Escamilla, “Theory of nonlinear loop mirrors with twisted low-birefringence fiber,” J. Opt. Soc. Am. B 18, 919-925 (2001).
[CrossRef]

E. A. Kuzin, B. Ibarra-Escamilla, D. E. Garcia-Gomez, and J. W. Haus, “Fiber laser mode locked by a Sagnac interferometer with nonlinear polarization rotation,” Opt. Lett. 26, 1559-1561 (2001).
[CrossRef]

Ibarra-Manzanno, O. G.

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Jain, R. K.

N. J. C. Libatique and R. K. Jain, “A broadly tunable wavelength-selectable WDM source using a fiber Sagnac loop filter,” IEEE Photonics Technol. Lett. 13, 1283-1285 (2001).
[CrossRef]

Jung, J.

Kim, G.

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

Kim, S. H.

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

Kishi, N.

F. Ahmed, N. Kishi, and T. Miki, “Multi-wavelength erbium-doped fibre Fabry-Perot laser and its uniform spectral lines power operation,” IEEE Photonics Technol. Lett. 17, 753-755 (2005).
[CrossRef]

Korneev, N.

Kuzin, E. A.

B. Ibarra-Escamilla, E. A. Kuzin, P. Zaca-Morán, R. Grajales-Coutiño, F. M. Martinez, O. Pottiez, R. Rojas-Laguna, and J. W. Haus, “Experimental investigation of the nonlinear optical loop mirror with twisted fiber and birefringence bias,” Opt. Express 13, 10760-10767 (2005).
[CrossRef] [PubMed]

O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
[CrossRef]

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

E. A. Kuzin, B. Ibarra-Escamilla, D. E. Garcia-Gomez, and J. W. Haus, “Fiber laser mode locked by a Sagnac interferometer with nonlinear polarization rotation,” Opt. Lett. 26, 1559-1561 (2001).
[CrossRef]

E. A. Kuzin, N. Korneev, J. W. Haus, and B. Ibarra-Escamilla, “Theory of nonlinear loop mirrors with twisted low-birefringence fiber,” J. Opt. Soc. Am. B 18, 919-925 (2001).
[CrossRef]

Lee, B.

Lee, J. H.

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

Lee, K. L.

Lee, S. B.

Y. G. Han and S. B. Lee, “Flexibly tunable multi-wavelength erbium doped fiber laser based on four-wave mixing effect in dispersion shifted fibers,” Opt. Express 13, 10134-10139(2005).
[CrossRef] [PubMed]

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

Lee, Y. W.

Lefevre, H. C.

H. C. Lefevre, “Single-mode fibre fractional wave devices and polarization controllers,” Electron. Lett. 16, 778-780 (1980).
[CrossRef]

Li, S.

S. Li, K. S. Chiang, and W. A. Gambling, “Gain flattening of an erbium doped fiber amplifier using a high birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 13, 942-944 (2001).
[CrossRef]

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

Li, W.

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

Libatique, N. J. C.

N. J. C. Libatique and R. K. Jain, “A broadly tunable wavelength-selectable WDM source using a fiber Sagnac loop filter,” IEEE Photonics Technol. Lett. 13, 1283-1285 (2001).
[CrossRef]

Liu, H.

A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, “Stable and broad bandwidth multi-wavelength fiber ring laser incorporating a highly non-linear photonic crystal fiber,” IEEE Photonics Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Liu, J.

J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
[CrossRef]

Luo, S. Y.

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

Marshall, J.

J. Marshall, G. Stewart, and G. Whitenett, “Design of a tuneable L-band multi-wavelength laser system for application to gas spectroscopy,” Meas. Sci. Technol. 17, 1023-1031 (2006).
[CrossRef]

Martinez, F. M.

Martínez, F. M.

O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
[CrossRef]

Miki, T.

F. Ahmed, N. Kishi, and T. Miki, “Multi-wavelength erbium-doped fibre Fabry-Perot laser and its uniform spectral lines power operation,” IEEE Photonics Technol. Lett. 17, 753-755 (2005).
[CrossRef]

Mirza, M. A.

M. A. Mirza and G. Stewart, “Design of a multi-wavelength fibre laser using an intra-cavity phase modulator and Sagnac loop filter for sensor applications,” Proc. SPIE 6619, K1-K4 (2007).

M. A. Mirza and G. Stewart, “Multi-wavelength operation of erbium-doped fibre lasers by periodic filtering and phase modulation,” J. Lightwave Technol. (to be published).

Mortimore, D. B.

D. B. Mortimore, “Fiber loop reflectors,” J. Lightwave Technol. 6, 1217-1224 (1988).
[CrossRef]

Muga, N. J.

Ng, M. N.

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

Pinto, A. N.

Pottiez, O.

B. Ibarra-Escamilla, E. A. Kuzin, P. Zaca-Morán, R. Grajales-Coutiño, F. M. Martinez, O. Pottiez, R. Rojas-Laguna, and J. W. Haus, “Experimental investigation of the nonlinear optical loop mirror with twisted fiber and birefringence bias,” Opt. Express 13, 10760-10767 (2005).
[CrossRef] [PubMed]

O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
[CrossRef]

Rojas-Laguna, R.

B. Ibarra-Escamilla, E. A. Kuzin, P. Zaca-Morán, R. Grajales-Coutiño, F. M. Martinez, O. Pottiez, R. Rojas-Laguna, and J. W. Haus, “Experimental investigation of the nonlinear optical loop mirror with twisted fiber and birefringence bias,” Opt. Express 13, 10760-10767 (2005).
[CrossRef] [PubMed]

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Ruiz-Pinales, J.

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Shu, C.

Simon, A.

Song, Y. J.

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

Stewart, G.

M. A. Mirza and G. Stewart, “Design of a multi-wavelength fibre laser using an intra-cavity phase modulator and Sagnac loop filter for sensor applications,” Proc. SPIE 6619, K1-K4 (2007).

J. Marshall, G. Stewart, and G. Whitenett, “Design of a tuneable L-band multi-wavelength laser system for application to gas spectroscopy,” Meas. Sci. Technol. 17, 1023-1031 (2006).
[CrossRef]

M. A. Mirza and G. Stewart, “Multi-wavelength operation of erbium-doped fibre lasers by periodic filtering and phase modulation,” J. Lightwave Technol. (to be published).

Tam, H. Y.

A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, “Stable and broad bandwidth multi-wavelength fiber ring laser incorporating a highly non-linear photonic crystal fiber,” IEEE Photonics Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Torres-Cisneros, M.

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Ulrich, R.

Wan, S. M.

Whitenett, G.

J. Marshall, G. Stewart, and G. Whitenett, “Design of a tuneable L-band multi-wavelength laser system for application to gas spectroscopy,” Meas. Sci. Technol. 17, 1023-1031 (2006).
[CrossRef]

Xia, Y. X.

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

Yao, J.

J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
[CrossRef]

J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
[CrossRef]

Yoon, I.

Zaca-Morán, P.

Zhan, L.

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

Zhang, A.

A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, “Stable and broad bandwidth multi-wavelength fiber ring laser incorporating a highly non-linear photonic crystal fiber,” IEEE Photonics Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

Appl. Opt. (1)

Electron. Lett. (2)

H. C. Lefevre, “Single-mode fibre fractional wave devices and polarization controllers,” Electron. Lett. 16, 778-780 (1980).
[CrossRef]

X. P. Dong, S. Li, K. S. Chiang, M. N. Ng, and B. C. B. Chu, “Multi-wavelength erbium doped fibre laser based on high-birefringence loop mirror,” Electron. Lett. 36, 1609-1610 (2000).
[CrossRef]

IEEE Photonics Technol. Lett. (7)

A. Zhang, H. Liu, M. S. Demokan, and H. Y. Tam, “Stable and broad bandwidth multi-wavelength fiber ring laser incorporating a highly non-linear photonic crystal fiber,” IEEE Photonics Technol. Lett. 17, 2535-2537 (2005).
[CrossRef]

S. Li, K. S. Chiang, and W. A. Gambling, “Gain flattening of an erbium doped fiber amplifier using a high birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 13, 942-944 (2001).
[CrossRef]

N. J. C. Libatique and R. K. Jain, “A broadly tunable wavelength-selectable WDM source using a fiber Sagnac loop filter,” IEEE Photonics Technol. Lett. 13, 1283-1285 (2001).
[CrossRef]

F. Ahmed, N. Kishi, and T. Miki, “Multi-wavelength erbium-doped fibre Fabry-Perot laser and its uniform spectral lines power operation,” IEEE Photonics Technol. Lett. 17, 753-755 (2005).
[CrossRef]

J. Yao, J. Yao, Z. Deng, and J. Liu, “Multi-wavelength erbium-doped fibre ring laser incorporating an SOA-based phase modulator,” IEEE Photonics Technol. Lett. 17, 756-758 (2005).
[CrossRef]

Y. G. Han, G. Kim, J. H. Lee, S. H. Kim, and S. B. Lee, “Lasing wavelength and switchable multi-wavelength fibre laser from 1510 to 1620 nm,” IEEE Photonics Technol. Lett. 17, 989-991 (2005).
[CrossRef]

S. Hu, L. Zhan, Y. J. Song, W. Li, S. Y. Luo, and Y. X. Xia, “Switchable multiwavelength erbium-doped fiber ring laser with a multisection high-birefringence fiber loop mirror,” IEEE Photonics Technol. Lett. 17, 1387-1389 (2005).
[CrossRef]

J. Lightwave Technol. (4)

J. Opt. Soc. Am. B (1)

Meas. Sci. Technol. (1)

J. Marshall, G. Stewart, and G. Whitenett, “Design of a tuneable L-band multi-wavelength laser system for application to gas spectroscopy,” Meas. Sci. Technol. 17, 1023-1031 (2006).
[CrossRef]

Opt. Commun. (1)

O. Pottiez, E. A. Kuzin, B. Ibarra-Escamilla, and F. M. Martínez, “Easily tuneable nonlinear optical loop mirror including low-birefringence, highly twisted fibre with invariant output polarization,” Opt. Commun. 229, 147-159 (2004).
[CrossRef]

Opt. Express (3)

Opt. Las. Engineer. (1)

J. M. Estudillo-Ayala, J. Ruiz-Pinales, R. Rojas-Laguna, J. A. Andrade-Lucio, O. G. Ibarra-Manzanno, E. Alvarado-Méndez, M. Torres-Cisneros, B. Ibarra-Escamilla, and E. A. Kuzin, “Analysis of a Sagnac interferometer with low-birefringence twisted fiber,” Opt. Las. Engineer. 39, 635-643(2003).
[CrossRef]

Opt. Lett. (2)

Proc. SPIE (1)

M. A. Mirza and G. Stewart, “Design of a multi-wavelength fibre laser using an intra-cavity phase modulator and Sagnac loop filter for sensor applications,” Proc. SPIE 6619, K1-K4 (2007).

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Figures (11)

Fig. 1
Fig. 1

Design of a tunable SLF.

Fig. 2
Fig. 2

Periodic filtering by SLF and the effect of θ on T SLF .

Fig. 3
Fig. 3

Transmission and phase control of the SLF using a SBL.

Fig. 4
Fig. 4

Effect of θ p on transmission and phase shift when θ = 30 ° .

Fig. 5
Fig. 5

Effect of ( B p × L p ) and θ on maximum attainable transmission and phase shift ( θ p = 45 ° ).

Fig. 6
Fig. 6

Measured transfer function of the tunable SLF.

Fig. 7
Fig. 7

Measured transmission improvement factor and wavelength shift compared with theory.

Fig. 8
Fig. 8

Schematic of a tunable multiwavelength EDFL.

Fig. 9
Fig. 9

Measured spectra of a tunable multiwavelength EDFL (note logarithmic dBm axis for power).

Fig. 10
Fig. 10

Circulation of clockwise and anticlockwise waves in a fiber loop.

Fig. 11
Fig. 11

Coupling of counterpropagating fields to a birefringent fiber.

Equations (30)

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J SLF = [ 0 J x y J x y 0 ] = J x y [ 0 1 1 0 ] .
T SLF = I o I i = J x y * · J x y = 2 sin 2 θ cos 2 θ { 1 cos ( Δ ϕ ) } = 4 sin 2 θ cos 2 θ sin 2 ( Δ ϕ / 2 ) = K SLF sin 2 ( Δ ϕ / 2 ) ,
Δ ϕ = | ϕ e ϕ o | = 2 π λ B · L ,
λ m = B · L m + 0.5 .
s m = λ m λ m + 1 B · L λ m 2 B · L .
J SLF = 1 2 [ 0 ( J x y + J y x ) ( J x y + J y x ) 0 ] = 1 2 ( J x y + J y x ) [ 0 1 1 0 ] .
T SLF = I o I i = 1 4 ( J x y + J y x ) * · ( J x y + J y x ) .
T SLF = K 1 { 1 cos ( Δ ϕ ) } + K 2 { 1 + cos ( Δ ϕ ) } + K 3 sin ( Δ ϕ ) , where     { K 1 = ( 1 + cos Δ ϕ p ) cos 2 θ sin 2 θ K 2 = ( 1 cos Δ ϕ p ) cos 2 θ p sin 2 θ p K 3 = ( 2 sin Δ ϕ p ) cos θ sin θ cos θ p sin θ p .
Δ ϕ p = 2 π λ B p · L p .
T SLF = K SLF cos 2 ( Δ ϕ ε 2 ) ,
ε = tan 1 ( K 3 K 2 K 1 ) ,
K SLF = 2 ( K 1 + K 2 ) .
Δ ε = π ε ,
G f = K SLF / K SLF .
E A e = E A y sin θ + E A x cos θ , E A o = E A y cos θ E A x sin θ .
E A e = E A e · e j Δ ϕ , E A o = E A o .
E A x = E A e cos θ E A o sin θ = E A e e j Δ ϕ cos θ E A o sin θ , E A y = E A e sin θ + E A o cos θ = E A e e j Δ ϕ sin θ + E A o cos θ .
E A x = e j Δ ϕ cos θ ( E A y sin θ + E A x cos θ ) sin θ ( E A y cos θ E A x sin θ ) = ( e j Δ ϕ cos 2 θ + sin 2 θ ) E A x + ( e j Δ ϕ 1 ) cos θ sin θ E A y , E A y = e j Δ ϕ sin θ ( E A y sin θ + E A x cos θ ) + cos θ ( E A y cos θ E A x sin θ ) = ( e j Δ ϕ 1 ) cos θ sin θ E A x + ( e j Δ ϕ sin 2 θ + cos 2 θ ) E A y .
[ E A x E A y ] = [ ( e j Δ ϕ cos 2 θ + sin 2 θ ) ( e j Δ ϕ 1 ) cos θ sin θ ( e j Δ ϕ 1 ) cos θ sin θ ( e j Δ ϕ sin 2 θ + cos 2 θ ) ] × [ E A x E A y ] E A = J A × E A .
[ E B x E B y ] = [ ( e j Δ ϕ cos 2 θ + sin 2 θ ) ( 1 e j Δ ϕ ) cos θ sin θ ( 1 e j Δ ϕ ) cos θ sin θ ( e j Δ ϕ sin 2 θ + cos 2 θ ) ] × [ E B x E B y ] E B = J B × E B .
J A = [ J x x J x y J y x J y y ] , J B = [ J x x J x y J y x J y y ] , where     { J x x = e j Δ ϕ cos 2 θ + sin 2 θ J x y = J y x = ( e j Δ ϕ 1 ) cos θ sin θ J y y = cos 2 θ + e j Δ ϕ sin 2 θ .
J A = J A p × J A , J B = J B × J B p ,
J A p = [ J x x p J x y p J y x p J y y p ] , J B p = [ J x x p J x y p J y x p J y y p ] , where     { J x x p = e j Δ ϕ p cos 2 θ p + sin 2 θ p J x y p = J y x p = ( e j Δ ϕ p 1 ) cos θ p sin θ p J y y p = cos 2 θ p + e j Δ ϕ p sin 2 θ p .
J A = [ J x x p J x y p J x y p J y y p ] × [ J x x J x y J x y J y y ] = [ J x x J x y J y x J y y ] ,
J x x = J x x p · J x x + J x y p · J x y , J x y = J x x p · J x y + J x y p · J y y , J y x = J x y p · J x x + J y y p · J x y , J y y = J x y p · J x y + J y y p · J y y .
J B = [ J x x J x y J x y J y y ] × [ J x x p J x y p J x y p J y y p ] = [ J x x J y x J x y J y y ] .
I i = 1 2 E ˜ i * × E i = 1 2 ( E x * E x + E y * E y ) ,
E o = 1 k E A + j k E B = [ ( 1 k ) J A k J B ] × E i = J SLF × E i .
J SLF = [ ( 1 k ) J A - k J B ] = [ ( 1 2 k ) J x x ( 1 k ) J x y + k J y x k J x y + ( 1 k ) J y x ( 1 2 k ) J y y ] .
I o = 1 2 E ˜ o * × E o = 1 2 ( E ˜ i * · J ˜ SLF * ) × ( J SLF · E i ) .

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