Abstract

A new scalar diffraction modeling method for simulating the readout signal of optical disks is described. The information layer is discretized into pixels that are grouped in specific ways to form written and unwritten areas. A set of 2D wave functions resulting from these pixels at the detection aperture is established. A readout signal is obtained via the assembly of wave functions from this set according to the content under the scanning spot. The method allows efficient simulation of jitter noise due to edge deformation of recorded marks, which is important at high densities. It is also capable of simulating a physically irregular mark, thereby helping to understand and optimize the recording process.

© 2007 Optical Society of America

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References

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  1. H. H. Hopkins, "Diffraction theory of laser readout systems for optical video discs," J. Opt. Soc. Am. 69, 4-24 (1979).
    [CrossRef]
  2. J. Braat, "Readout of optical discs," in Principles of Optical Disc Systems (Adam Hilger Ltd, 1985).
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    [CrossRef] [PubMed]
  4. T. D. Milster, "New way to describe diffraction from optical disks," Appl. Opt. 37, 6878-6883 (1998).
    [CrossRef]
  5. P. W. Nutter and C. D. Wright, "A new technique for the prediction and correction of nonlinearities in simulated optical readout waveforms," in Technical Digest of Optical Data Storage Conference 2001 (2001) pp. 82-84.
  6. W. M. J. Coene, "Nonlinear signal processing model for scalar diffraction in optical recording," Appl. Opt. 42, 6525-6535 (2003).
    [CrossRef] [PubMed]
  7. A. Moinian, L. Fagoonee, and B. Honary, "Symbol detection for multilevel two dimensional optical storage using a nonlinear channel model," in Proceedings of IEEE International Conference on Communications 2005 (IEEE, 2005), Vol. 2, pp. 890-894.
    [CrossRef]
  8. K. A. S. Immink, Codes for Mass Data Storage Systems (Shannon Foundation, 1999).

2003

2002

1998

1979

Appl. Opt.

J. Opt. Soc. Am.

Other

J. Braat, "Readout of optical discs," in Principles of Optical Disc Systems (Adam Hilger Ltd, 1985).

P. W. Nutter and C. D. Wright, "A new technique for the prediction and correction of nonlinearities in simulated optical readout waveforms," in Technical Digest of Optical Data Storage Conference 2001 (2001) pp. 82-84.

A. Moinian, L. Fagoonee, and B. Honary, "Symbol detection for multilevel two dimensional optical storage using a nonlinear channel model," in Proceedings of IEEE International Conference on Communications 2005 (IEEE, 2005), Vol. 2, pp. 890-894.
[CrossRef]

K. A. S. Immink, Codes for Mass Data Storage Systems (Shannon Foundation, 1999).

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Figures (7)

Fig. 1
Fig. 1

Discretization of the disk information layer (mark length of two channel bits).

Fig. 2
Fig. 2

Schematic of random edge shift of a written mark. The solid box indicates the ideal edge position.

Fig. 3
Fig. 3

Various types of edge deformation. The solid box indicates the ideal edge position. The deformation is, on the left edge, of extra two pit-columns plus four pit-pixels, and on the right edge, of extra two pit-columns plus three pit-pixels. In the left and middle examples, it is realized by placing the pit-pixels in different regular manners; in the example on the right randomness is introduced but only upon arranging pit-pixels.

Fig. 4
Fig. 4

Segmentation of a pit area that is two channel bits long and with edge deformation that simulates jitter noise. The deformation is of extra two pit-columns and six pit-pixels on the leading edge and extra ten pit-pixels on the trailing edge. The extra pit-pixels are regularly placed extending from the middle of a track symmetrically toward both radial directions.

Fig. 5
Fig. 5

Stadium type of pit profile. Top view and cross sections from track and radial directions.

Fig. 6
Fig. 6

Comparison of jitter noise and media noise spectra (SNR = 25 dB).

Fig. 7
Fig. 7

Eye patterns of the simulated waveforms with various pit-land asymmetry compensations. (a) A = 0%; (b) A = 15 % ; (c) A = 30 % ; (d) A = 45 % .

Equations (14)

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I ( R p ) = CA | q ˜ ( Ω ; R p ) | 2 d Ω = CA | FT R Ω [ p ( R R p ) r ( R ) ] | 2 d Ω ,
r ( R ) = 1 + k P m k δ ( R R k ) ,
m k = a k exp ( j ϕ k ) 1 , 0 < a k 1.
q ˜ ( Ω ; R p ) = p ˜ ( Ω ; R p ) + k P m k s ˜ ( Ω ; R p ; R k ) ,
p ˜ ( Ω ; R p ) = FT R Ω [ p ( R R p ) ] ,
s ˜ ( Ω ; R p ; R k ) = FT R Ω [ p ( R R p ) δ ( R R k ) ] .
s ˜ ( Ω ; R p ; R k ) = exp ( j 2 π Ω R ) p ( R R p ) δ ( R R k ) d R = exp ( j 2 π Ω R k ) p ( R k R p ) ,
N pix = α 1.22 λ NA / d 2 ,
N freq = 2 NA λ d L + 0.5 2 ,
Ω ( NA / λ ) ,
c ˜ ( Ω ; R p ; R l ) = k P l s ˜ ( Ω ; R p ; R l ) ,
w ˜ ( Ω ; R p ; R i ) = k P i s ˜ ( Ω ; R p ; R k ) ,
r ( R ) = 1 + [ a exp ( j ϕ ) 1 ] [ i B ^ W ( R R i ) + l C ^ C ( R R l ) + k P ^ δ ( R R k ) ] ,
SNR = 20 log ( I n I n * ) 2 ( I n * ) 2 ,

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