Abstract

A two-dimensional optical storage (TwoDOS) format with binary modulation is being developed in which channel bits are arranged on a two-dimensional hexagonal lattice [W. M. J. Coene, in Optical Data Storage, Vol. 88 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 90–92]. The aim is to increase the capacity by a factor of 2 and the data rate by a factor of 10 over third-generation Blu-ray Disc technology. Following a route similar to that used in one-dimensional conventional optical storage [Jpn. J. Appl. Phys. 42, 1074 (2003)] could lead to a further increase in capacity by the addition of another dimension to writing data, such as the use of multiple levels instead of the two levels (pit and land) used in the binary TwoDOS disk format. We present a nonlinear signal-processing model for signal waveform generation as a function of the M-ary channel symbols, as well as simulated signal readouts for multilevel TwoDOS.

© 2004 Optical Society of America

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References

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  1. W. M. J. Coene, in Optical Data Storage, Vol. 88 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 90–92.
  2. H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
    [Crossref]
  3. J. Pasman, in Principles of Optical Disc Systems (Hilger, Bristol, England, 1985), Chap. 3, pp. 88–124.
  4. J. M. Brok and H. P. Urbach, J. Mod. Opt. 49, 1811 (2002).
    [Crossref]
  5. W. M. J. Coene, Appl. Opt. 42, 6525 (2003).
    [Crossref] [PubMed]
  6. A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.
  7. T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, New York, 1996).

2003 (2)

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

W. M. J. Coene, Appl. Opt. 42, 6525 (2003).
[Crossref] [PubMed]

2002 (1)

J. M. Brok and H. P. Urbach, J. Mod. Opt. 49, 1811 (2002).
[Crossref]

Bergmans, J. W. M.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Brok, J. M.

J. M. Brok and H. P. Urbach, J. Mod. Opt. 49, 1811 (2002).
[Crossref]

Busch, C.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Coene, W. M. J.

W. M. J. Coene, Appl. Opt. 42, 6525 (2003).
[Crossref] [PubMed]

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

W. M. J. Coene, in Optical Data Storage, Vol. 88 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 90–92.

Conway, T.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Hekstra, A. P.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Hieslmair, H.

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

Immink, A. H. J.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Inui, T.

T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, New York, 1996).

Kuijper, M.

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

Langereis, G.

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

O’Neill, M.

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

Onodera, Y.

T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, New York, 1996).

Pasman, J.

J. Pasman, in Principles of Optical Disc Systems (Hilger, Bristol, England, 1985), Chap. 3, pp. 88–124.

Riani, J.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Stinebaugh, J.

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

Tanabe, Y.

T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, New York, 1996).

Urbach, H. P.

J. M. Brok and H. P. Urbach, J. Mod. Opt. 49, 1811 (2002).
[Crossref]

van Beneden, S. J. L.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

van der Lee, A. M.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

Wong, T.

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

Appl. Opt. (1)

J. Mod. Opt. (1)

J. M. Brok and H. P. Urbach, J. Mod. Opt. 49, 1811 (2002).
[Crossref]

Jpn. J. Appl. Phys. (1)

H. Hieslmair, J. Stinebaugh, T. Wong, M. O’Neill, M. Kuijper, and G. Langereis, Jpn. J. Appl. Phys. 42, 1074 (2003).
[Crossref]

Other (4)

J. Pasman, in Principles of Optical Disc Systems (Hilger, Bristol, England, 1985), Chap. 3, pp. 88–124.

W. M. J. Coene, in Optical Data Storage, Vol. 88 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2003), pp. 90–92.

A. H. J. Immink, W. M. J. Coene, A. M. van der Lee, C. Busch, A. P. Hekstra, J. W. M. Bergmans, J. Riani, S. J. L. van Beneden, and T. Conway, “Signal processing and coding for two dimensional optical storage,” presented at the IEEE Global Telecommunications Conference, San Francisco, December 1–5 2003.

T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, New York, 1996).

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Figures (3)

Fig. 1
Fig. 1

Multilevel TwoDOS disk format with M=4.

Fig. 2
Fig. 2

Cluster within a broad spiral.

Fig. 3
Fig. 3

(a) HF signal patterns for 1720 unique cluster type groups due to rotational and mirror symmetry. (b) HF signal patterns for 76 unique cluster types, grouped by summing the seven symbol values in the cluster.

Equations (9)

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

|ψ=|ψL+m=1M-1ibi,mexpjφ-1|ψi,m.
|ψL=FTRvpR-Rp,
|ψi,m=FTRvpR-RpWmR-Ri.
HFRp=ψψ.
ϕψ=CAϕ*vψvdv,
HFRp=ψLψL+expjφ-1m=1M-1ibi,mψLψi,m+exp-jφ-1m=1M-1ibi,mψi,mψL+expjφ-12m=1M-1n=1M-1i,jbi,mbj,n×ψi,mψj,n.
HFRp=1-m=1M-1ibi,mci,m+m=1M-1n=1M-1i,jbi,mbj,ndi,j,m,n,
ci,m=21-cos φψLψi,m,
di,j,m,n=21-cos φψi,mψj,n.

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