Abstract

An efficient decomposition of the diffraction pattern from optical disks that yields insight into the origin and the characteristics of various signals is described. The Babinet principle is used to separate components that describe the data signal, servo signals, and three types of cross talk. The construction of a basis set that yields efficient calculation for optimization studies is described. Two media types are considered as examples. Several applications are also described, including an explanation for the origin of the differential phase-detection tracking signal that is used with DVD-ROM media.

© 1998 Optical Society of America

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References

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  1. H. H. Hopkins, “Diffraction theory of laser-based systems for optical video disks,” J. Opt. Soc. Am. 69, 4–24 (1979).
    [CrossRef]
  2. J. P. Treptau, T. D. Milster, D. G. Flagello, “Laser beam modeling in optical data storage systems,” in Modeling and Simulation of Laser Systems II, A. D. Schnurr, ed., Proc. SPIE1415, 317–321 (1991).
    [CrossRef]
  3. A. Korpel, “Simplified diffraction theory of the video disk,” Appl. Opt. 17, 2037–2042 (1978).
    [CrossRef] [PubMed]
  4. T. D. Milster, Z. Chen, E. P. Walker, M. T. Tuell, E. C. Gage, “Optical data storage with quadrant pupil detection,” Appl. Opt. 35, 2471–2476 (1996).
    [CrossRef] [PubMed]
  5. T. D. Milster, R. S. Upton, are preparing the following paper for publication: “Complex plane description of differential phase detection in optical data storage.”

1996 (1)

1979 (1)

1978 (1)

Chen, Z.

Flagello, D. G.

J. P. Treptau, T. D. Milster, D. G. Flagello, “Laser beam modeling in optical data storage systems,” in Modeling and Simulation of Laser Systems II, A. D. Schnurr, ed., Proc. SPIE1415, 317–321 (1991).
[CrossRef]

Gage, E. C.

Hopkins, H. H.

Korpel, A.

Milster, T. D.

T. D. Milster, Z. Chen, E. P. Walker, M. T. Tuell, E. C. Gage, “Optical data storage with quadrant pupil detection,” Appl. Opt. 35, 2471–2476 (1996).
[CrossRef] [PubMed]

J. P. Treptau, T. D. Milster, D. G. Flagello, “Laser beam modeling in optical data storage systems,” in Modeling and Simulation of Laser Systems II, A. D. Schnurr, ed., Proc. SPIE1415, 317–321 (1991).
[CrossRef]

Treptau, J. P.

J. P. Treptau, T. D. Milster, D. G. Flagello, “Laser beam modeling in optical data storage systems,” in Modeling and Simulation of Laser Systems II, A. D. Schnurr, ed., Proc. SPIE1415, 317–321 (1991).
[CrossRef]

Tuell, M. T.

Walker, E. P.

Appl. Opt. (2)

J. Opt. Soc. Am. (1)

Other (2)

J. P. Treptau, T. D. Milster, D. G. Flagello, “Laser beam modeling in optical data storage systems,” in Modeling and Simulation of Laser Systems II, A. D. Schnurr, ed., Proc. SPIE1415, 317–321 (1991).
[CrossRef]

T. D. Milster, R. S. Upton, are preparing the following paper for publication: “Complex plane description of differential phase detection in optical data storage.”

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Figures (8)

Fig. 1
Fig. 1

Light focused onto the recording layer of the disk. The reflected field U T diffracts to form a pattern Ũ T in the pupil of the optical system. The optical system is shown schematically as an unfolded diagram.

Fig. 2
Fig. 2

Track layout for sample calculation. Mark patterns M1 and M2 correspond to tracks T1 and T2, respectively. The spot S follows track T1 with an offset Δy.

Fig. 3
Fig. 3

Babinet principle used to decompose the fields reflected from the disk into components that consist of reflection from the mark patterns U M1 and U M2 and a flat-media reflection U F .

Fig. 4
Fig. 4

From the top: Row 1: Amplitude reflection from a mark pattern along one track where the mark width is 0.35 μm, the mark length is 0.5 μm, the mark period is 1.0 μm, and NA = 0.60. Row 2: Amplitude diffraction pattern from U M1. Row 3: Phase of the diffraction pattern from U M1. Row 4: Resulting servo term when r L = 0.9 and r M = 0.9exp(i2π40/180). Images a–f in each row display that row’s parameter as the track passes under the spot.

Fig. 5
Fig. 5

Combination of various components to yield the servo and the cross-talk terms in the irradiance pattern. TPP, tangential push–pull; RPP, radial push–pull.

Fig. 6
Fig. 6

Portion of the mark pattern U M1 used in the simulation.

Fig. 7
Fig. 7

Curve A: I DATA for case 1. Curve B: I SERVO for case 1. Curve C: I DATA for case 2. Curve D: I SERVO for case 2.

Fig. 8
Fig. 8

Modulation of the data signal, the QPD signal, and the push–pull signal as functions of the phase depth of the pits (ΦADD) in a simple ROM-type medium.

Tables (1)

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Table 1 Independent Irradiance Terms Resulting from the Babinet Decomposition

Equations (11)

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U T = i = 1 i = N   U i ,
Ũ T = i = 1 i = N   Ũ i ,
U T = r L U F + r M - r L U M 1 + U M 2 ,
Ũ T = i = 1 i = N   c i Ũ i ,
U M 1 = j = 1 j = L   c M 1 j u M 1 j ,
I ˜ T     | Ũ T | 2 = | r L | 2 | Ũ F | 2 + | Ũ M 1 | 2 + 2 | Ũ F Ũ M 1 | cos Δ ϕ F 1 ,
I ˜ T     | Ũ T | 2 = | r M | 2 | Ũ M 1 | 2 + | Ũ M 2 | 2 + 2 | Ũ M 1 Ũ M 2 | cos Δ ϕ 12 ,
I ˜ T     | Ũ T | 2 = | r L | 2 | Ũ F | 2 + | Ũ M 1 | 2 + | Ũ M 2 | 2 + 2 | Ũ F Ũ M 1 | cos Δ ϕ F 1   a + 2 | Ũ F Ũ M 2 | cos Δ ϕ F 2   b + 2 | Ũ M 1 Ũ M 2 | cos Δ ϕ 12 .   c
i DATA = i 1 + i 2 + i 3 + i 4 ,
i QPD = i 1 + i 4 - i 2 - i 3 ,
i PP = i 1 + i 2 - i 3 - i 4 .

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