Abstract

Spatial light modulators based around liquid crystal on silicon have found use in a variety of telecommunications applications, including the optimization of multimode fibers, free-space communications, and wavelength selective switching. Ferroelectric liquid crystals are attractive in these areas due to their fast switching times and high phase stability, but the necessity for the liquid crystal to spend equal time in each of its two possible states is an issue of practical concern. Using the highly parallel nature of a graphics processing unit architecture, it is possible to calculate DC balancing schemes of exceptional quality and stability.

© 2011 Optical Society of America

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References

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    [CrossRef]
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2010

J. Carpenter and T. D. Wilkinson, Opt. Eng. 49, 095801(2010).
[CrossRef]

2009

2007

2006

1983

S. Kirkpatrick, C. D. Gelatt Jr., and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Abakoumov, D.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Baxter, G.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Bolger, J.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Carpenter, J.

J. Carpenter and T. D. Wilkinson, Opt. Eng. 49, 095801(2010).
[CrossRef]

Cormen, T. H.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, in Introduction to Algorithms2nd ed. (McGraw-Hill, 2001), pp. 1027.

Eggleton, B. J.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Faulkner, G. E.

Freeman, J. P.

P. L. Neo, J. P. Freeman, and T. D. Wilkinson, in National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA21.

Frisken, S.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Gelatt, C. D.

S. Kirkpatrick, C. D. Gelatt Jr., and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Henderson, C. J.

Kahn, J. M.

Kirkpatrick, S.

S. Kirkpatrick, C. D. Gelatt Jr., and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Lau, A. P. T.

Leiserson, C. E.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, in Introduction to Algorithms2nd ed. (McGraw-Hill, 2001), pp. 1027.

Leyva, D. G.

Maksymiuk, L.

G. Stepniak, L. Maksymiuk, and J. Siuzdak, in 36th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2010).

Neo, P. L.

P. L. Neo, J. P. Freeman, and T. D. Wilkinson, in National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA21.

O’Brien, D. C.

Panicker, R. A.

Poole, S.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Rivest, R. L.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, in Introduction to Algorithms2nd ed. (McGraw-Hill, 2001), pp. 1027.

Roelens, M. A. F.

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

Siuzdak, J.

G. Stepniak, L. Maksymiuk, and J. Siuzdak, in 36th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2010).

Stein, C.

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, in Introduction to Algorithms2nd ed. (McGraw-Hill, 2001), pp. 1027.

Stepniak, G.

G. Stepniak, L. Maksymiuk, and J. Siuzdak, in 36th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2010).

Vachiramon, P.

Vecchi, M. P.

S. Kirkpatrick, C. D. Gelatt Jr., and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Wilde, J. P.

Wilkinson, T. D.

J. Carpenter and T. D. Wilkinson, Opt. Eng. 49, 095801(2010).
[CrossRef]

C. J. Henderson, D. G. Leyva, and T. D. Wilkinson, J. Lightwave Technol. 24, 1989 (2006).
[CrossRef]

P. L. Neo, J. P. Freeman, and T. D. Wilkinson, in National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA21.

J. Lightwave Technol.

Opt. Eng.

J. Carpenter and T. D. Wilkinson, Opt. Eng. 49, 095801(2010).
[CrossRef]

Opt. Lett.

Science

S. Kirkpatrick, C. D. Gelatt Jr., and M. P. Vecchi, Science 220, 671 (1983).
[CrossRef] [PubMed]

Other

P. L. Neo, J. P. Freeman, and T. D. Wilkinson, in National Fiber Optic Engineers Conference, OSA Technical Digest Series (CD) (Optical Society of America, 2007), paper JThA21.

G. Stepniak, L. Maksymiuk, and J. Siuzdak, in 36th European Conference and Exhibition on Optical Communication (ECOC) (IEEE, 2010).

M. A. F. Roelens, D. Abakoumov, J. Bolger, G. Baxter, S. Frisken, S. Poole, and B. J. Eggleton, in Optical Fiber Communication Conference and Exposition and The National Fiber Optic Engineers ConferenceOSA Technical Digest (CD) (Optical Society of America, 2008), paper OWP3.
[PubMed]

T. H. Cormen, C. E. Leiserson, R. L. Rivest, and C. Stein, in Introduction to Algorithms2nd ed. (McGraw-Hill, 2001), pp. 1027.

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Figures (3)

Fig. 1
Fig. 1

Binary phase [ 0 , π ] holograms (top) maintain DC balance by (a) shifting the absolute phase for offset patterns or (b) rotating the replay field for centered patterns.

Fig. 2
Fig. 2

(a) Comparison of DC balancing by phase shifting for binarization of a full-phase hologram [1] and by steepest-descent search for an offset pattern. (b) DC balance by rotation of a centered fiber mode.

Fig. 3
Fig. 3

Far field at the output of the fiber (left) where the input is excited by a hologram (right) undergoing DC balance by rotation.

Equations (3)

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

k = i = 0 N 1 ( N i ) .
Re [ e i ϕ T ( 0 ) | R ] 2 = Re [ e i ϕ ( i = 0 n T ( 0 ) i R i ) ] 2 ,
| T ( θ ) | R | 2 = | ( i = 0 n T ( θ ) i R i ) | 2 ,

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