Light-emitting device, display device, imaging device, and electronic device, with substrate, lens including convex curved surface portion, and light-emitting part between surface of substrate and lens

1. A light-emitting device comprising:

a substrate;

a lens provided above a main surface of the substrate; and

a light-emitting part provided between the main surface of the substrate and the lens,

wherein the lens has a convex curved surface portion on an opposite side to the substrate,

wherein in a first direction perpendicular to the main surface of the substrate, the light-emitting part is provided at a position more distant from the lens than a curvature center of the curved surface portion,

wherein when an apex of the curved surface portion in the first direction is referred to as a first position, and an end of the curved surface portion in a second direction in parallel with the substrate is referred to as a second position, and h represents a distance from the first position to the second position in the first direction, and r represents a distance from the first position to the second position in the second direction,

h/r<0.95 is satisfied, and

wherein 0.4<d/R<1 is satisfied where d represents a distance in the first direction from the light-emitting part to the curvature center of the curved surface portion, and R represents a curvature radius of the curved surface portion.

2. The light-emitting device according to claim 1 , wherein h/r<0.9 is satisfied.

3. The light-emitting device according to claim 1 , wherein h/r<0.5 is satisfied.

4. The light-emitting device according to claim 1 , wherein r/R<0.97 is satisfied.

5. The light-emitting device according to claim 1 , wherein when n 1 represents a refractive index of the lens, n 2 represents a refractive index from the light-emitting part to the lens, and H represents a distance in the first direction from the first position to the light-emitting part,

n

1

×

H

2

{

n

1

×

h

+

n

2

×

(

H

-

h

)

}

×

R

>

1

[

Math

.

⁢

1

]

is satisfied.

6. The light-emitting device according to claim 5 , wherein the refractive index n 2 is not less than 1.6 and not more than 2.0.

7. The light-emitting device according to claim 1 , wherein when n 1 represents a refractive index of the lens, n 2 represents a refractive index from the light-emitting part to the lens, and H represents a distance in the first direction from the first position to the light-emitting part,

n

1

×

(

n

1

×

H

n

2

-

R

)

×

R

-

1

×

r

×

{

r

2

+

(

n

1

×

H

n

2

-

h

)

2

}

-

1

/

2

<

1

[

Math

.

⁢

2

]

is satisfied.

8. The light-emitting device according to claim 1 , wherein when n 1 represents a refractive index of the lens, and a represents a distance in the second direction from the first position to an end of the light-emitting part,

a<R/n 1 is satisfied.

9. The light-emitting device according to claim 8 , wherein a/(R/n 1 )≤0.85 is satisfied.

10. The light-emitting device according to claim 1 , further comprising:

a first electrode provided on the substrate; and

a second electrode provided on the light-emitting part,

wherein the light-emitting part emits light due to a potential difference between the first electrode and the second electrode.

11. The light-emitting device according to claim 10 , comprising:

a plurality of first electrodes;

an insulation layer provided in contact with respective ends of the plurality of first electrodes; and

an organic layer covering the plurality of first electrodes, and including a plurality of light-emitting parts,

wherein the insulation layer has a plurality of opening parts so as to expose the plurality of first electrodes respectively, and

wherein at the opening part, the first electrode and the organic layer are in contact with each other.

12. A display device comprising:

a display part including the light-emitting device according to claim 1 ; and

a control circuit configured to control the display part.

13. An imaging device comprising:

an optical part;

an imaging element configured to receive light passed through the optical part; and

a display part configured to display an image captured by the imaging element,

wherein the display part includes the light-emitting device according to claim 1 .

14. An electronic device comprising:

a display part including the light-emitting device according to claim 1 ;

a housing provided with the display part; and

a communication part provided in the housing, and configured to communicate with outside.