Light guide element and image display device
A light guide element includes a light-guiding substrate and a diffraction part formed on a surface of the light-guiding substrate. The diffraction part includes an optical layer capable of exerting a diffractive action. The distance from the light-guiding substrate to a surface of the optical layer is equal to or less than 10% of a thickness of the light-guiding substrate. The light guide element satisfies |ΔD|≦0.15 mm, where ΔD is an amount of a change in D with the temperature change ΔT, D [mm] is a distance, at the temperature T (° C.), between the center of the diffraction part and a position predetermined as a position where the ray of light comes out of the light-guiding substrate in a direction horizontal with respect to the light-guiding substrate, and ΔT is a temperature change.
1. A light guide element comprising:
a light-guiding substrate; and
a diffraction part formed on a surface of the light-guiding substrate, wherein:
the diffraction part comprises an optical layer capable of diffracting light;
a distance from the light-guiding substrate to a surface of the optical layer is equal to or less than 10% of a thickness of the light-guiding substrate; and
|ΔD| of the light guide element is 0.15 mm or less, wherein |ΔD| is defined as |ΔD|=|DΔT/cos 2 θ×(α+β/n)|
wherein θ is an angle between a direction normal to the surface of the light-guiding substrate and a ray of light that is diffracted by the diffraction part and is propagated in the light-guiding substrate, T (° C.) is a temperature, D (mm) is a distance, at the temperature T, between the center of the diffraction part and a position where the ray of light comes out of the light-guiding substrate in a direction parallel to the surface of the light-guiding substrate, n is a refractive index of the light-guiding substrate at a wavelength of light used, α (1/° C.) is a coefficient of linear expansion of the light-guiding substrate, β (1° C.) is a temperature coefficient of the refractive index of the light-guiding substrate, and ΔT (° C.) is a temperature change.
2. The light guide element according to claim 1 , wherein |ΔD|≦0.1 mm is satisfied.
3. The light guide element according to claim 1 , wherein |ΔD|≦0.05 mm is satisfied.
4. A light guide element comprising:
a light-guiding substrate; and
a diffraction part formed on a surface of the light-guiding substrate, wherein:
the diffraction part comprises an optical layer capable of diffracting light;
a distance from the light-guiding substrate to a surface of the optical layer is equal to or less than 10% of a thickness of the light-guiding substrate;
the light-guiding substrate is a glass substrate; and
the light-guiding substrate satisfies
|α+β/n|≦9×10 −6 (1° C.)
wherein n is a refractive index of the light-guiding substrate at a wavelength of light used, α (1/° C.) is a coefficient of linear expansion of the light-guiding substrate, and β (1/° C.) is a temperature coefficient of the refractive index of the light-guiding substrate.
5. The light guide element according to claim 1 , wherein α≦0.7×10 −6 (1° C.) is further satisfied.
6. The light guide element according to claim 4 , wherein α≦0.7×10 −6 (1° C.) is further satisfied.
7. The light guide element according to claim 1 , wherein |α+β/n|≦8×10 −6 (1° C.) is satisfied.
8. The light guide element according to claim 4 , wherein |α+βn|≦8×10 −6 (1° C.) is satisfied.
9. The light guide element according to claim 1 , wherein 1.5≦n≦2.0 is further satisfied.
10. The light guide element according to claim 4 , wherein 1.5≦n≦2.0 is further satisfied.
11. A light guide element comprising:
a light-guiding substrate; and
a diffraction part formed on a surface of the light-guiding substrate, wherein:
the diffraction part comprises an optical layer capable of diffracting light;
a distance from the light-guiding substrate to a surface of the optical layer is equal to or less than 10% of a thickness of the light-guiding substrate;
the light-guiding substrate is a glass substrate; and
when a refractive index for d-line of the light-guiding substrate at an average ambient temperature is expressed by n d and Abbe number for d-line of the light-guiding substrate at the average ambient temperature is expressed by ν d , wherein d-line has a wavelength of 587.56 nm,
the light-guiding substrate satisfies any of the requirements shown as the following group (A) or any of the requirements shown as the following group (B):
Group (A):
1.65≦ n d ≦1.75 (where 55≦ν d ≦60),
−0.005ν d +1.925≦ n d ≦1.75 (where 50≦ν d ≦55),
1.75≦ n d ≦1.80 (where 30≦ν d ≦35),
−0.005ν d +1.925≦ n d ≦1.80 (where 35≦ν d ≦40),
−0.005ν d +1.925≦ n d ≦−0.005ν d +2.00 (where 40≦ν d ≦50),
ν d ≦30,
1.60≦ n d ≦1.65 (where 62≦ν d ≦70),
1.60≦ n d ≦1.65 (where 55≦ν d ≦62),
1.60≦ n d ≦−0.005ν d +1.925 (where 50≦ν d ≦55),
1.54≦ n d ≦1.60 (where ν d ≦50),
Group (B):
−0.005ν d +2.00≦ n d (where 40≦ν d ≦50),
n d ≧1.80 (where 30≦ν d ≦40),
n d ≧1.95 (where 26≦ν d ≦30),
1.65≦ n d ≦1.91 (where 24≦ν d ≦40),
1.75≦ n d ≦−0.005ν d +1.925 (where 36≦ν d ≦50),
−0.01333ν d +2.13≦ n d ≦−0.005ν d +1.925 (where 35≦ν d ≦36),
−0.01333ν d +2.13≦ n d ≦1.75 (where 30≦ν d ≦35).
12. The light guide element according to claim 11 , wherein ν d >30 is further satisfied.
13. The light guide element according to claim 1 , wherein
the optical layer of the diffraction part has a polarization dependence,
the light guide element comprises a phase shifter comprising a polymeric liquid crystal, either on an optical path of light which enters the diffraction part or on an optical path of light which comes out of the diffraction part.
14. The light guide element according to claim 4 , wherein
the optical layer of the diffraction part has a polarization dependence,
the light guide element comprises a phase shifter comprising a polymeric liquid crystal, either on an optical path of light which enters the diffraction part or on an optical path of light which comes out of the diffraction part.
15. The light guide element according to claim 11 wherein
the optical layer of the diffraction part has a polarization dependence,
the light guide element comprises a phase shifter comprising a polymeric liquid crystal, either on an optical path of light which enters the diffraction part or on an optical path of light which comes out of the diffraction part.
16. The light guide element according to claim 1 , wherein the distance from the light-guiding substrate to the surface of the optical layer is 50 nm or longer.
17. The light guide element according to claim 4 , wherein the distance from the light-guiding substrate to the surface of the optical layer is 50 nm or longer.
18. An image display device comprising the light guide element according to claim 1 .
19. An image display device comprising the light guide element according to claim 4 .
20. An image display device comprising the light guide element according to claim 11 .