Abstract

The effect of polarization controlling on coherent beam combining of two-fiber laser arrays of interferometric configuration is researched. Three kinds of arrays, built on the basis of Michelson and Mach–Zehnder interferometers, are investigated experimentally. It is found that polarization controlling is not necessary for coherent beam combining of the Michelson interferometric array but necessary for that of Mach–Zehnder interferometric arrays. These results reveal the important role of polarization in the self-organization process of interferometric laser arrays.

© 2009 Optical Society of America

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    [CrossRef]
  2. Y. Li and D. Fan, Laser Optoelectron. Prog. 42, 26 (2005) (in Chinese).
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2008

2007

S. Chen, Y. Li, K. Lu, and S. Zhou, J. Opt. A, Pure Appl. Opt. 9, 642 (2007).
[CrossRef]

M. Fridman, V. Eckhouse, N. Davidson, and A. Friesem, Opt. Lett. 32, 790 (2007).
[CrossRef] [PubMed]

2006

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

2005

T. Y. Fan, IEEE J. Sel. Top. Quantum Electron. 11, 567 (2005).
[CrossRef]

Y. Li and D. Fan, Laser Optoelectron. Prog. 42, 26 (2005) (in Chinese).

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5709, 165 (2005).
[CrossRef]

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, Opt. Lett. 30, 1339 (2005).
[CrossRef] [PubMed]

S. Chen, Y. Li, and K. Lu, Opt. Express 13, 7878 (2005).
[CrossRef] [PubMed]

2004

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5662, 482 (2004).
[CrossRef]

2003

2002

Barthelemy, A.

Barthélémy, A.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

Boullet, J.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

Bruesselbach, H.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, Opt. Lett. 30, 1339 (2005).
[CrossRef] [PubMed]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
[PubMed]

Cao, J.

Chen, S.

S. Chen, Y. Li, K. Lu, and S. Zhou, J. Opt. A, Pure Appl. Opt. 9, 642 (2007).
[CrossRef]

S. Chen, Y. Li, and K. Lu, Opt. Express 13, 7878 (2005).
[CrossRef] [PubMed]

Davidson, N.

Desfarges-Berthelemot, A.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, L. Lefort, A. Barthelemy, P. Even, and D. Pureur, Opt. Express 11, 87 (2003).
[CrossRef] [PubMed]

Dunnings, G. J.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

Eckhouse, V.

Even, P.

Fan, D.

Y. Li and D. Fan, Laser Optoelectron. Prog. 42, 26 (2005) (in Chinese).

Fan, T. Y.

T. Y. Fan, IEEE J. Sel. Top. Quantum Electron. 11, 567 (2005).
[CrossRef]

Fridman, M.

Friesem, A.

Hammon, D. L.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

Hou, J.

Jones, D. C.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, Opt. Lett. 30, 1339 (2005).
[CrossRef] [PubMed]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
[PubMed]

Kermene, V.

Kermène, V.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

Lefort, L.

Lhermite, J.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

Li, Y.

S. Chen, Y. Li, K. Lu, and S. Zhou, J. Opt. A, Pure Appl. Opt. 9, 642 (2007).
[CrossRef]

S. Chen, Y. Li, and K. Lu, Opt. Express 13, 7878 (2005).
[CrossRef] [PubMed]

Y. Li and D. Fan, Laser Optoelectron. Prog. 42, 26 (2005) (in Chinese).

Lu, K.

S. Chen, Y. Li, K. Lu, and S. Zhou, J. Opt. A, Pure Appl. Opt. 9, 642 (2007).
[CrossRef]

S. Chen, Y. Li, and K. Lu, Opt. Express 13, 7878 (2005).
[CrossRef] [PubMed]

Lu, Q.

Mangir, M. S.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, Opt. Lett. 30, 1339 (2005).
[CrossRef] [PubMed]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
[PubMed]

Matsuo, K.

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5709, 165 (2005).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5662, 482 (2004).
[CrossRef]

Minden, M.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, Opt. Lett. 30, 1339 (2005).
[CrossRef] [PubMed]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
[PubMed]

Minden, M. L.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

Pureur, D.

Rogers, J. L.

H. Bruesselbach, D. C. Jones, M. S. Mangir, M. Minden, and J. L. Rogers, Opt. Lett. 30, 1339 (2005).
[CrossRef] [PubMed]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
[PubMed]

Roy, P.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

Sabourdy, D.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

D. Sabourdy, V. Kermene, A. Desfarges-Berthelemot, L. Lefort, A. Barthelemy, P. Even, and D. Pureur, Opt. Express 11, 87 (2003).
[CrossRef] [PubMed]

Saitou, T.

Sekiguchi, T.

Shirakawa, A.

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5709, 165 (2005).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5662, 482 (2004).
[CrossRef]

A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, Opt. Express 10, 1167 (2002).
[PubMed]

Siegman, A. E.

A. E. Siegman, http://www.stanford.edu/~siegman/coupled_fiber_modes.pdf.

Solis, A. J.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

Ueda, K.

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5709, 165 (2005).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5662, 482 (2004).
[CrossRef]

A. Shirakawa, T. Saitou, T. Sekiguchi, and K. Ueda, Opt. Express 10, 1167 (2002).
[PubMed]

Vaughan, L.

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

Xu, X.

Zhou, S.

S. Chen, Y. Li, K. Lu, and S. Zhou, J. Opt. A, Pure Appl. Opt. 9, 642 (2007).
[CrossRef]

C. R. Phys.

A. Desfarges-Berthelemot, V. Kermène, D. Sabourdy, J. Boullet, P. Roy, J. Lhermite, and A. Barthélémy, C. R. Phys. 7, 244 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

T. Y. Fan, IEEE J. Sel. Top. Quantum Electron. 11, 567 (2005).
[CrossRef]

J. Opt. A, Pure Appl. Opt.

S. Chen, Y. Li, K. Lu, and S. Zhou, J. Opt. A, Pure Appl. Opt. 9, 642 (2007).
[CrossRef]

J. Opt. Soc. Am. B

Laser Optoelectron. Prog.

Y. Li and D. Fan, Laser Optoelectron. Prog. 42, 26 (2005) (in Chinese).

Opt. Express

Opt. Lett.

Proc. SPIE

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5662, 482 (2004).
[CrossRef]

A. Shirakawa, K. Matsuo, and K. Ueda, Proc. SPIE 5709, 165 (2005).
[CrossRef]

M. L. Minden, H. Bruesselbach, J. L. Rogers, M. S. Mangir, D. C. Jones, G. J. Dunnings, D. L. Hammon, A. J. Solis, and L. Vaughan, Proc. SPIE 5335, 89 (2004).
[CrossRef]

Other

H. Bruesselbach, M. Minden, J. L. Rogers, D. C. Jones, and M. S. Mangir, in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science and Photonics Applications Systems Technologies, Technical Digest (CD) (Optical Society of America, 2005), paper CMDD4.
[PubMed]

A. E. Siegman, http://www.stanford.edu/~siegman/coupled_fiber_modes.pdf.

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Figures (4)

Fig. 1
Fig. 1

Experimental setups of the (a) MIA, (b) ring-cavity MZIA, and (c) linear-cavity MZIA. In three experiments, PC is added at the position I. Port 2 is used as the output port. Port 1 is used for measuring the leakage power. Port 3 in (c) is also used for measuring the leakage power.

Fig. 2
Fig. 2

Experimental results of the MIA. In (a), the triangles and inverted triangles mark powers of two independent lasers (the power of independent laser is measured at output port with the resonator of the other laser cut off); circles and diamonds show experimental data of the output and leakage powers, respectively.

Fig. 3
Fig. 3

Experimental results of the ring-cavity MZIA (a) without PC and (b) with PC. (c) is the difference of the combining efficiency caused by PC. Markers are used the same as in Fig. 2 except the ones with special notes.

Fig. 4
Fig. 4

Experimental results of the linear-cavity MZIA (a) without PC and with PC minimizing the leakage power of (b) Port 1 and (c) Port 3. Diamonds and squares mark leakage powers measured at Port 1 and Port 3, respectively. (d) is the difference of the combining efficiency caused by PC. Markers are used the same as in Fig. 2 except the ones with special notes.

Equations (1)

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η c = 2 P o 2 P o + P l ,

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