Abstract

We propose a type of lossless nonlinear polarizer, novel to our knowledge, a device that transforms any input state of polarization (SOP) of a signal beam into one and the same well-defined SOP toward the output, and perform this without any polarization-dependent losses. At the polarizer output end, the signal SOP appears to be locked to the input pump SOP. The polarizer is based on the nonlinear Kerr interaction of copropagating signal and pump beams in a telecom or randomly birefringent optical fiber.

© 2011 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. E. Heebner, R. S. Bennink, R. W. Boyd, and R. A. Fisher, Opt. Lett. 25, 257 (2000).
    [CrossRef]
  2. S. Pitois, G. Millot, and S. Wabnitz, J. Opt. Soc. Am. B 18, 432 (2001).
    [CrossRef]
  3. S. Pitois, J. Fatome, and G. Millot, Opt. Express 16, 6646(2008).
    [CrossRef] [PubMed]
  4. J. Fatome, S. Pitois, P. Morin, and G. Millot, Opt. Express 18, 15311 (2010).
    [CrossRef] [PubMed]
  5. V. V. Kozlov, J. Fatome, P. Morin, S. Pitois, G. Millot, and S. Wabnitz, J. Opt. Soc. Am. B 28, 1782 (2011).
    [CrossRef]
  6. V. V. Kozlov, J. Nuño, J. D. Ania-Castañón, and S. Wabnitz, Opt. Lett. 35, 3970 (2010).
    [CrossRef] [PubMed]
  7. V. V. Kozlov, J. Nuño, and S. Wabnitz, J. Opt. Soc. Am. B 28, 100 (2011).
    [CrossRef]
  8. E. Assemat, D. Dargent, A. Picozzi, H. R. Jauslin, and D. Sugny, Opt. Lett. 36, 4038 (2011).
    [CrossRef] [PubMed]

2011 (3)

2010 (2)

2008 (1)

2001 (1)

2000 (1)

Ania-Castañón, J. D.

Assemat, E.

Bennink, R. S.

Boyd, R. W.

Dargent, D.

Fatome, J.

Fisher, R. A.

Heebner, J. E.

Jauslin, H. R.

Kozlov, V. V.

Millot, G.

Morin, P.

Nuño, J.

Picozzi, A.

Pitois, S.

Sugny, D.

Wabnitz, S.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

DOP (thick lines) and alignment param eter (thin lines) of the signal beam as a function of the PMD diffusion length for three different values of the pump power: 0.5 W (black solid), 1 W (red dashed), 1.5 W (green dotted). Parameters are L = 2.2 km , L B = 4 m , channel separation Δ λ = 2 π c ( ω p ω s ) / ω s 2 = 5 nm . Shaded regions (left, diffusion limit; right, Manakov limit) indicate the range of validity of the model Eqs. (1, 2). Above the graph are three representative trajectories on the Poincaré sphere for the case when the pump SOP is along the north pole; the bias of the trajectories toward the north pole is evident.

Fig. 2
Fig. 2

(a) Cascaded scheme with two sequential polarizers. The pump beam (blue line) is split by a 50 / 50 beam splitter (BS) into two beams, one of which feeds the first polarizer, while the second beam feeds the second polarizer (M1, M2, M3, M4, mirrors). The signal beam (red line) goes through both polarizers without being affected by the BS and mirrors M3 and M4. (b) DOP of the signal beam as a function of the fiber length of a single polarizer plotted using Eq. (5) for three configurations: one polarizer (black solid), two/three sequential identical polarizers (red dashed/green dotted).

Fig. 3
Fig. 3

(a) DOP of the signal beam as a function of fiber length for S 0 ( s ) = S 0 ( p ) = 1 W : the curve was generated from the analytical Eq. (5) valid in the Manakov limit (black solid), numerical simulation of Eqs. (1, 2) for L d = 548 km (red dashed), L d = 55 km (green dotted), and L d = 21 km (blue dotted–dashed). (b) Maximal DOP of the signal beam as a function of pump power. For each point on the plot, the maximal DOP was found using Eq. (5) from a set of DOPs obtained for a discrete set of fiber lengths scanned through the interval [ 0.1 ; 10 ] L NL . Arrows on plots (a) and (b) indicate the same point in the parameter space.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

d z S ( s ) = γ S ( s ) × J x ( z ) S ( p ) ,
d z S ( p ) = γ S ( p ) × J x ( z ) S ( s ) ,
d z S ( s ) = γ ¯ S ( s ) × S ( p ) , d z S ( p ) = γ ¯ S ( p ) × S ( s ) ,
d z S ( s ) = γ ¯ Ω × S ( s ) ,
S ( s ) ( z ) = b 1 + b 2 cos ( Ω γ ¯ z ) + b 3 sin ( Ω γ ¯ z ) ,

Metrics