Abstract

A high-density DVD (HD-DVD) is one of the high-density optical storage technology newly designed to meet the demands of high-definition video broadcasting that is very sensitive to the radial tilt of a disk. An analytic model based on diffraction theory is presented in detail to calculate the tracking error signal of a HD-DVD read-only disk driver by using the differential-phase-detection (DPD) method when radial tilt of a disk occurs. The effects of the tilt on a DPD signal in a HD-DVD read-only disk driver are quantified and compared to those in a DVD read-only disk driver. Experimental measurements for the DPD signal under different radial tilt angles in a HD-DVD read-only disk driver are also reported.

© 2006 Optical Society of America

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References

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  1. G. Bouwhuis, Principles of Optical Disc Systems (Hilger, 1986).
  2. J. Braat, "Differential time detection for radial tracking of optical disks," Appl. Opt. 37, 6973-6982 (1998).
    [Crossref]
  3. R. S. Upton and T. D. Milster, "Complex plane description of differential phase detection in optical data storage," in Proc. SPIE 3401, 263-271 (1998).
    [Crossref]
  4. C. Peng, W. H. Yeh, and M. Mansuripur, "Measurements and simulations of differential phase-tracking signals in optical disk data storage," Appl. Opt. 37, 4425-4432 (1998).
    [Crossref]
  5. Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
    [Crossref]
  6. H. H. Hopkins, "Diffraction theory of laser read-out systems for optical discs," J. Opt. Soc. Am. 69, 4-24 (1979).
    [Crossref]
  7. V. B. Jipson and C. C. Williams, "Two-dimensional modeling of an optical disk readout," Appl. Opt. 22, 2202-2209 (1983).
    [Crossref] [PubMed]
  8. X. F. Cheng, H. B. Jia, and D. Y. Xu, "Vector diffraction analysis of optical disk readout," Appl. Opt. 39, 6436-6440 (2000).
    [Crossref]
  9. J. E. Harvey, "Fourier treatment of near-field scalar diffraction theory," Am. J. Phys. 47, 947-980 (1979).
    [Crossref]
  10. Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
    [Crossref]
  11. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
  12. T. D. Milster, "New way to describe diffraction from optical disks," Appl. Opt. 37, 6878-6883 (1998).
    [Crossref]
  13. K. A. S. Immink, Codes for Mass Data Storage System (Shannon, 1999).
  14. J. E. Harvey and R. V. Shack, "Aberrations of diffracted wave fields," Appl. Opt. 17, 3003-3009 (1978).
    [Crossref] [PubMed]

2005 (1)

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

2002 (1)

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

2000 (1)

1998 (4)

1983 (1)

1979 (2)

H. H. Hopkins, "Diffraction theory of laser read-out systems for optical discs," J. Opt. Soc. Am. 69, 4-24 (1979).
[Crossref]

J. E. Harvey, "Fourier treatment of near-field scalar diffraction theory," Am. J. Phys. 47, 947-980 (1979).
[Crossref]

1978 (1)

Bouwhuis, G.

G. Bouwhuis, Principles of Optical Disc Systems (Hilger, 1986).

Braat, J.

Cheng, X. F.

Cui, R. Z.

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Gong, M. L.

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

Harvey, J. E.

J. E. Harvey, "Fourier treatment of near-field scalar diffraction theory," Am. J. Phys. 47, 947-980 (1979).
[Crossref]

J. E. Harvey and R. V. Shack, "Aberrations of diffracted wave fields," Appl. Opt. 17, 3003-3009 (1978).
[Crossref] [PubMed]

Hopkins, H. H.

Immink, K. A. S.

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

Iwata, K.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Jia, H. B.

Jia, W. P.

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Jipson, V. B.

Kashihara, Y.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Mansuripur, M.

Milster, T. D.

R. S. Upton and T. D. Milster, "Complex plane description of differential phase detection in optical data storage," in Proc. SPIE 3401, 263-271 (1998).
[Crossref]

T. D. Milster, "New way to describe diffraction from optical disks," Appl. Opt. 37, 6878-6883 (1998).
[Crossref]

Morishita, N.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Nagai, K.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Noda, C.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Peng, C.

Sato, H.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Shack, R. V.

Tanaka, M.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Upton, R. S.

R. S. Upton and T. D. Milster, "Complex plane description of differential phase detection in optical data storage," in Proc. SPIE 3401, 263-271 (1998).
[Crossref]

Wang, Y. X.

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Watabe, K.

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Williams, C. C.

Xu, D. Y.

Yan, P.

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Yeh, W. H.

Zhang, H. T.

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Am. J. Phys. (1)

J. E. Harvey, "Fourier treatment of near-field scalar diffraction theory," Am. J. Phys. 47, 947-980 (1979).
[Crossref]

Appl. Opt. (6)

J. Opt. Soc. Am. (1)

Opt. Eng. (1)

Y. X. Wang, M. L. Gong, P. Yan, W. P. Jia, R. Z. Cui, and H. T. Zhang, "Analysis of cross talk between radial tilt error and tracking error signal of a high-density digital disk," Opt. Eng. 44, 0530031-10 (2005).
[Crossref]

Proc. SPIE (2)

R. S. Upton and T. D. Milster, "Complex plane description of differential phase detection in optical data storage," in Proc. SPIE 3401, 263-271 (1998).
[Crossref]

Y. Kashihara, N. Morishita, K. Watabe, C. Noda, K. Iwata, M. Tanaka, K. Nagai, and H. Sato, "Simulation study for high density optical disk systems," in Proc. SPIE 4342, 524-533 (2002).
[Crossref]

Other (3)

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

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

G. Bouwhuis, Principles of Optical Disc Systems (Hilger, 1986).

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Figures (8)

Fig. 1
Fig. 1

(Color online) Schematic of an optical-disk storage system.

Fig. 2
Fig. 2

Coordinate system for angular spectrum decomposition in optical disk system.

Fig. 3
Fig. 3

Two models for an optical disk: (a) 2D grating model; (b) linear decomposition model.

Fig. 4
Fig. 4

(Color online) Focus spot pattern on a disk (a)–(c) in a HD-DVD read-only disk driver when the radial tilt angle is −0.5°, 0°, and +0.5°, respectively, and (d)–(f) in a DVD-ROM driver when the radial tilt angle is −0.5°, 0°, and +0.5°, respectively.

Fig. 5
Fig. 5

Simulation results of a DPD signal when the disk radial tilt angle is −0.5°, 0°, and +0.5°. (a) HD-DVD read-only disk driver; channel clock length T is 102 nm. (b) DVD-ROM disk driver; channel clock length T is 133 nm.

Fig. 6
Fig. 6

(a) Offset of a DPD signal for HD-DVD and DVD read-only disk drivers when the disk radial tilt angle is varied from −0.5° to +0.5°, in units of pitch. In a HD-DVD read-only disk driver, the track pitch is 400 nm and 740 nm in a DVD-ROM disk driver. (b) Asymmetry of DPD signal for HD-DVD and DVD read-only disk drivers when the disk radial tilt angle is varied from −0.5° to +0.5°.

Fig. 7
Fig. 7

Single track jump signal and tracking-error signal when the radial tilt angle is set at zero.

Fig. 8
Fig. 8

Experimental measurement results for offset and asymmetry of DPD signal versus radial tilt angle in a HD-DVD read-only disk driver compared with simulations. (a) Offset, (b) asymmetry.

Tables (1)

Tables Icon

Table 1 Parameters of the Simulated Optical Storage System

Equations (8)

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U 1 ( α , β ; 0 ) = U 1 ( α , β ; z ^ 0 ) exp ( i 2 π γ z ^ 0 ) ,
U 1 ( α , β ) = exp ( α 2 + β 2 NA 2 ) .
F 1 ( u ^ , v ^ ) = exp ( 2 π i u ^ 2 + v ^ 2 R ^ ) × F u ̂ , v ̂ 2 [ U 1 ( α , β ) R ^ 1 exp ( 2 π i R ^ ) i γ ] ,
U O ( α , β ) = i γ exp ( 2 π i R ^ ) R ^ F α , β           2 [ F 1 ( u ^ , v ^ ) C ( u ^ , v ^ ) ×   exp ( 2 π i u ^ 2 + v ^ 2 R ^ ) ] .
C ( u ^ , v ^ ) = {                   1 ( u ^ , v ^ ) S exp ( i 2 π λ 2 d )   otherwise  ,
TES DPD τ ( i A + i C ) τ ( i B + i D ) ,
U 1 ( α , β ) = exp ( α 2 + β 2 NA 2 ) exp [ i 2 π ( n 2 1 ) n 3 t θ × ( 3 α ^ 3 + 3 α ^ β ̂ 2 2 α ^ ) ] ,
A = | TES max | | TES min | | TES max | + | TES min | × 100 % ,

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