Micro objective lens with NA 0 . 65 for the bluelight small-form-factor optical pickup head

A micro objective lens with the numerical aperture (NA) of 0.65 and clear aperture of 1.1mm was designed, fabricated, and tested for the proposed blue-light small-form-factor optical pickup head system. It adopted the finite optical conjugation and could be produced by using the glass molding technique. The experimental results verify the optical performance near the diffraction-limited focus spot for the applications of high-density portable optical storage systems. ©2008 Optical Society of America OCIS codes: (220.3630) Lenses; (230.3990) Micro-optical devices; (220.0220) Optical design and fabrication; (210.0210) Optical data storage References and links 1. B. W. Bell Jr., “DataPlay's mobile recording technology,” Tech. Dig. ODS2001, 4-6 (2001). 2. D. L. Blankenbeckler, B. W. Bell, Jr., K. Ramadurai, and R. L. Mahajan, “Recent advancements in Dataplay’s small-form-factor optical disc and drive,” Jpn. J. Appl. Phys. 45, 1181-1186 (2006). 3. S. M. Kang, J. E. Lee, W. C. Kim, N. C. Park, Y. P. Park, E. H. Cho, J. S. Sohn, and S. D. Suh, “Development of integrated small-form-factor optical pickup with blu-ray disc specification,” Jpn. J. Appl. Phys. 45, 6723-6729 (2006). 4. H. Nakata, T. Nagata, and H. Tomita, “Ultra compact optical pickup with integrated optical system,” Jpn. J. Appl. Phys. 45, 6713-6717 (2006). 5. J. N. Lee, Hongmin Kim, Y. J. Kim, and S. Kang, “Micro thermal design of swing arm type small form factor optical pick-up system,” Microsyst. Tech. 12, 1093–1097 (2006). 6. M. C. Wu, S. Y. Hsiao, C. Y. Peng, and W. L. Fang, “Development of tracking and focusing micro actuators for dual-stage optical pick-up head,” J. Opt. A: Pure Appl. Opt. 8, S323–S329 (2006). 7. H. D. Cheng, S. Y. Hsiao, M. C. Wu, and W. L. Fang, “Integrated tracking and focusing systems of MEMS optical pickup head,” IEEE Trans. Magn. 43, 805-807 (2007). 8. H. F. Shih, T. P. Yang, M. O. Freeman, J. K. Wang, H. F. Yau, and D. R. Huang, “Holographic laser module with dual wavelength for digital versatile disc optical heads,” Jpn. J. Appl. Phys. 38, 1750-1754 (1999). 9. H. F. Shih, C. L. Chang, K. J. Lee, and C. S. Chang, “Design of optical head with holographic optical element for small form factor drive systems,” IEEE Trans. Magn. 41, 1058-1060 (2005). 10. M. Born, and E. Wolf, Principles of optics, 7th ed. (Cambridge University Press 1999), Chap. 9.


Introduction
The need of mobility for information technology (IT) products has advanced the development of optical storage drives to be with small form factor (SFF).For achieving the light weight and compact size of an optical pickup head (OPH), microoptical components act the important roles and have been gradually adopted in the SFF optical system [1][2][3][4][5][6][7].Especially, the micro objective lens is the key component for fulfilling the technology of a SFF OPH.Besides, it is well know that the optical system using a blue laser could effectively increase the storage capacity.Therefore, to develop the blue-light micro objective lens is even more anticipated for the application of blue-light SFF OPH.
Based on the optical system configuration that had been reported for the red-light OPH [8,9], this paper presents a blue-light SFF OPH and a micro objective lens designs that were optimized for the wavelength of 405nm and numerical aperture (NA) of 0.65.By using these designs, the blue-light SFF storage system could be well developed.

Objective lens design
The objective lens was first drafted according to the preliminary optical parameters listed in Table 1.We adopted a finite-conjugate relation with the image NA of 0.65 and the laser wavelength of 405nm for the lens.In order to minimize the lens diameter and therefore the OPH dimension, the clear aperture should be as small as possible.After considering the fabrication possibility for the precession glass molding, it was assigned to be 1.1 mm.Since the system is finite-conjugate, the optical magnification of the lens should be fixed.It was planed as the NA of 0.1 for the object side that corresponds to the NA of o.65 for the focused beam on the disk side.Surface recording with zero cover layer thickness was adopted in the proposed SFF system for effectively reducing the distance between the lens and disk.The lens is a bi-convex type with two even aspheric surfaces.The lens thickness was set to be 0.6 mm and two radiuses were optimized to be 0.63 mm and 3.0 mm, respectively.The K-VC89 from Sumita Inc. was selected as the glass material for the reasons of higher transmittance and larger index of refraction in the blue light range.It could effectively reduce the surface curvatures of the lens and therefore increase the optical and manufacturing tolerance.The material parameters after molding are listed in Table 2.According to the paraxial calculation, the effective focal length of the objective lens was determined to be 670 nm.
Once the first order optics meets the system requirement for a blue-light SFF OPH system, we could further optimize the coefficients of two aspheric surfaces.The optimization conditions need to be followed for preserving the optical parameters stated above.Furthermore, the optimized surfaces should provide the converging capability for focusing the emitting light from the laser to the disk surface inside the smallest spot at both the fields of on-axis and 1° off-axis.Five even aspheric terms are selected for optimization on both surfaces.The surface sag is given as where c is the curvature (the reciprocal of the radius), r is the radial coordinate in lens unit, and k is the conic constant.The optimized coefficients are tabulated in Table 3.

Design of the SFF optical pickup head
With this objective lens, the optical system of the proposed blue-light SFF OPH was arranged.
where the C 01 y provides the diffraction angle in the y-direction, the C 20 x 2 , C 11 xy, C 02 y 2 serve as the combination of a focusing lens and a cylindrical lens that converges the beam and generates the astigmatism, and the remaining terms are used for correcting the coma, spherical and high order aberrations.Figure 4(a) presents the optical modeling of the OPH system and Fig. 4(b) gives the simulation result for the FES (so-called S-curve), which is in a symmetric shape.The optimized coefficients of the phase polynomial of the HOE surface are listed in Table 4.
Using these coefficients, the binary diffractive pattern of the HOE can be accordingly designed.

Fabrication of the micro objective lens
The surface curvature of the finite-conjugate objective lens with NA 0.65 is steeper than that of the infinite-conjugate objective lens with the same NA.Besides using the glass material of higher index of refraction, advanced and precision diamond turning machine was applied to produce the mold insert with sharp surface shapes.After the turning, the heavy metal alloy was coated on the mold insert surface as the hard coating.The produced mold inserts of two lens surfaces and the outer mold are shown in Fig. 5.With these molds, continuous glass molding process with single mold was adopted to fabricate the objective lens.Figure 6 shows the pictures from top and side views of the fabricated lens.

Experimental results
In order to verify the optical performance of the fabricated lens, the precision profile meter was first applied to measure the surface form shapes. Figure 7 shows the measured results for both lens surfaces from a typical fabricated sample.The tested data are summarized on Table 5.Because the S1 surface has a sharper curvature, it gets the higher form deviation than that of S2 surface.The total root-mean-square (RMS) form deviation is 30.6 nm.It is near the Maréchal criterion of one fourteenth wavelength of 405 nm, which is 28.93 nm, for achieving the diffraction-limited focusing capability [10].For further verification, the spot checker was adopted to measure the focusing spot size by using the illumination of a 405 nm blue laser under the same image-object conjugation as described.Figure 8 shows the practical focus spot distribution and intensity profiles from radial and tangential directions.It gives the measured spot size of 0.356 μm and 0.347 μm in the tangential and radial directions, respectively.According to Eq. ( 4), the theoretical full-width-half-maximum (FWHM) spot size D sp is 0.324 μm for both directions.Although the measured spot size is bigger than the theoretical value by around 10% and 7% in the tangential and radial directions, respectively, it still stays within the acceptable range when the disc specification of data pits is the same as that of the HD-DVD.

Discussion and conclusion
We have presented a blue-light SFF OPH configuration conbined with a finite-conjugate micro objective lens design.Simulation and experimental results are satisfactory and provide the feasibility of realizing the high-density storage system in compactness.The prototype of the objective lens was fabricated by the technique of glass molding and tested to have the

Figure 1 (
Figure 1(a) shows the simulated optical layout of the lens whereas Fig. 1(b) presents the ray-traced focusing spot on the recording surface of the disk for the on-axis illumination.All

Fig. 1 .
Fig. 1.Simulations of the objective lens for (a) the optical layout and (b) the focusing spot.

Figure 3 (
a) shows the schematic diagram of the OPH and Fig.3(b) describes the relative placement of all components on the substrate.An edge-emitting laser chip is bonded on a silicon substrate with a 45° etching micromirror.It reflects the laser beam upward to a 45° microprism MP1, which is upside-down bonded on the substrate.After reflected by MP1, the beam is redirected by the other 45° prism MP2 to vertically enter the holographic optical element (HOE).The zeroth-order light that passes through the HOE is focused on the disk by the objective lens.On the returning path, the beam is diffracted by the HOE, reflected by the MP1 and MP2, and finally projected onto the photodetector (PD).The MP1 and MP2 act as not only reflectors but also two spacers for supporting the HOE and objective lens.The astigmatic detection is used for generating the focusing error signal (FES) from the HOE diffraction.The HOE pattern could be designed by the binary optics technology and has the wavefront

Fig. 3 .
Fig. 3. (a) Schematic diagram of the blue-light SFF OPH and (b) relative placement of all components on the substrate.

Fig. 4 .
Fig. 4. (a) Optical modeling of the blue-light SFF OPH system and (b) the simulated S-curve for the FES.

Fig. 5 .Fig. 6 .
Fig. 5. Picture of the mold inserts of two lens surfaces and the outer mold.outer diameter 1.5mm

Fig. 7 .
Fig. 7. Form deviation measurement of both surfaces of a fabricated lens.

Table 1 .
Optical Parameters of the SFF OPH

Table 2 .
Optical parameters of K-VC 89 glass material

Table 3 .
Coefficients of the surface sag of two aspheric surfaces

Table 4 .
Coefficients of the phase polynomial of the HOE surface a a The unit of x and y of the phase polynomial is in mm.

Table 5 .
Tested surface data of a fabricated lens.