Liquid crystal lens element and optical head device

1. A liquid crystal lens element comprising a pair of opposing transparent electrodes and a liquid crystal layer sandwiched between these transparent electrodes, wherein a converging point of light transmitted through the liquid crystal layer is changed according to a magnitude of voltage applied to the liquid crystal layer;

the liquid crystal lens element being characterized in that the liquid crystal lens element comprises a Fresnel lens formed on a flat surface of one of the transparent substrates opposed to the other substrate, a first transparent electrode formed on a concave-convex shaped surface of the Fresnel lens, and a second transparent electrode formed on a flat surface of said other transparent substrate opposed to said one of the transparent substrate; according to a voltage V applied between the first transparent electrode and the second transparent electrode sandwiching the liquid crystal layer, substantial refractive index n(V) of the liquid crystal layer for linearly polarized incident light having a predetermined wavelength λ changes from a refractive index n 1 at a time of no voltage application to a sufficiently saturated refractive index n 2 (n 1 ≠n 2 ) which is not fluctuated by fluctuation of the applied voltage; the Fresnel lens is formed to have a thickness d satisfying a relation d≧0.75×λ/δn provided that the refractive index n s of the Fresnel lens is a value between the refractive indexes n 1 and n 2 , and that the refractive index differences |n 1 −n s | and |n 2 −n s | between the Fresnel lens and the liquid crystal layer, whichever smaller, is designated as δn; and there present focal lengths corresponding to M levels (here, M is an integer of at least 3) of specific applied voltages among voltages V applied between the first transparent electrode and the second transparent electrode.

2. An optical lens element according to claim 1 , wherein the Fresnel lens is formed so that the refractive index n s of the Fresnel lens, n 1 and n 2 satisfy a relational formula |n 1 −n s |≦|n 2 −n s |, and the thickness d of the Fresnel lens satisfies a relational formula:

( m− 0.25)×λ≦| n 1 −n s |×d ≦( m+ 0.25)×λ  (2)

(wherein m=1, 2 or 3),

and provided that a refractive index n(V k ) of the liquid crystal layer satisfies the following relation at a time of applying the specific applied voltage V k :

n ( V k )= n 1 +[( m−k )×( n s −n 1 )]/ m

(wherein k is an integer satisfying −m≦k≦m),

the M is represented by 2m+1, and M types of focal lengths are present, which corresponds to M levels of applied voltages V k .

3. The liquid crystal lens element according to claim 1 , wherein the Fresnel lens has a shape approximated by steps.

4. The liquid crystal lens element according to claim 1 , wherein the Fresnel lens is made of a birefringent material, the extraordinary refractive index of the birefringent material corresponds to the refractive index n s , and the ordinary refractive index of the birefringent material equals to the ordinary refractive index of the liquid crystal layer.

5. The liquid crystal lens element according to claim 1 , wherein the Fresnel lens is made of SiO x N y (wherein 0≦x≦2, 0≦y≦1, and 0≦x+y).

6. An optical head device comprising a light source for emitting light of wavelength λ, an objective lens for converging light emitted from the light source on an information recording medium, a beam splitter for splitting light converged on the objecting lens and reflected by the optical recording medium, and a photodetector for detecting the split light; the optical head device being characterized by comprising the liquid crystal lens element as defined in claim 1 , in an optical path between the light source and the objective lens.

7. The optical head device according to claim 6 , wherein the optical recording medium has a cover layer covering an information recording layer, and the optical head device carries out writing and/or reading to/from the optical recording mediums having different cover thicknesses.

8. A method of using optical head device, which is a method of using an optical head device comprising a light source for emitting light of wavelength λ, an objective lens for converging light emitted from the light source on an information recording medium, a beam splitter for splitting light converged by the objective lens and reflected by the information recording medium, and a photodetector for detecting the split light; the method being characterized in that the liquid crystal lens element as defined in claim 1 is disposed in an optical path between the light source and the objective lens, and a specific applied voltage V k among M voltages (wherein M is an integer of at least 3) is applied between the transparent electrodes of the liquid crystal lens element.

9. A method of using optical head device, which is a method of using the optical head device as defined in claim 6 for writing and/or reading to/from optical recording mediums having cover layers of different thicknesses each covering an information recording layer, wherein a specific applied voltages V k among M voltages (wherein M is an integer of at least 3) is applied between the transparent electrodes of the liquid crystal lens element employed in the optical head device.