Multilayered meta lens and optical apparatus including the same

1. A meta-lens comprising:

a substrate;

a first layer arranged on the substrate, the first layer comprising a plurality of first nanostructures comprising a material having a refractive index different from a refractive index of the substrate;

a spacer layer covering the plurality of first nanostructures, the spacer layer comprising a material having a refractive index different from the refractive index of the plurality of first nanostructures; and

a second layer arranged on the spacer layer, the second layer comprising a plurality of second nanostructures comprising a material having a refractive index different from the refractive index of the spacer layer,

wherein a first shape distribution of the plurality of first nanostructures and a second shape distribution of the plurality of second nanostructures are set so as to focus light of a first wavelength and light of a second wavelength different from the first wavelength at a same focal length,

wherein the first shape distribution and the second shape distribution are configured to focus light of a wavelength bandwidth including the first wavelength and the second wavelength, and

wherein the wavelength bandwidth comprises one from among a red wavelength bandwidth, a green wavelength bandwidth, and a blue wavelength bandwidth.

2. The meta-lens of claim 1 , wherein the wavelength bandwidth comprises a red wavelength bandwidth, a green wavelength bandwidth, and a blue wavelength bandwidth.

3. The meta-lens of claim 1 , wherein a dimension of the plurality of first nanostructures and the plurality of second nanostructures is less than the first wavelength and less than the second wavelength.

4. The meta-lens of claim 1 , wherein a first height of the plurality of first nanostructures and a second height of the plurality of second nanostructures in a direction of stacking the first layer and the second layer are in a range from λ/ 3 to ( 3 λ)/ 2 , where λ is a longer wavelength of the first wavelength and the second wavelength.

5. The meta-lens of claim 1 , wherein the first shape distribution is different from the second shape distribution.

6. The meta-lens of claim 1 , wherein each nanostructure from among the plurality of first nanostructures and the plurality of second nanostructures has a column shape.

7. The meta-lens of claim 6 , wherein each first nanostructure from among the plurality of first nanostructures has a first height different from a second height of each second nanostructure from among the plurality of second nanostructures.

8. The meta-lens of claim 7 , wherein a difference between the first height and the second height is set so that the meta-lens operates as a reflection type lens.

9. The meta-lens of claim 8 , wherein the difference between the first height and the second height is λ/ 4 or greater where λ is a longer wavelength of the first wavelength and the second wavelength.

10. The meta-lens of claim 7 , wherein the difference between the first height and the second height is set so that the meta-lens operates as a transmission type lens.

11. The meta-lens of claim 10 , wherein the difference between the first height and the second height is λ/ 3 or less where λ is a longer wavelength of the first wavelength and the second wavelength.

12. The meta-lens of claim 1 , wherein the refractive index of the substrate is less than the refractive index of the plurality of first nanostructures and less than the refractive index of the plurality of second nanostructures, and

wherein the refractive index of the spacer layer is less than the refractive index of the plurality of first nanostructures and less than the refractive index of the plurality of second nano structures.

13. The meta-lens of claim 1 , wherein a difference between the refractive index of the substrate and the refractive index of the plurality of first nanostructures is 0.5 or greater.

14. The meta-lens of claim 13 , wherein a difference between the refractive index of the plurality of first nanostructures and the refractive index of the spacer layer is 0.5 or greater.

15. The meta-lens of claim 14 , wherein a difference between the refractive index of the spacer layer and the refractive index of the plurality of second nanostructures is 0.5 or greater.

16. The meta-lens of claim 1 , further comprising:

a protection layer covering the plurality of second nanostructures.

17. The meta-lens of claim 16 , wherein a difference between a refractive index of the protection layer and the refractive index of the plurality of first nanostructures is 0.5 or greater.

18. An imaging apparatus comprising:

an imaging lens comprising the meta-lens of claim 1 ; and

an image sensor configured to convert an optical image formed by the imaging lens into an electrical signal.

19. A meta-lens comprising:

a substrate;

a first layer arranged on the substrate, the first layer comprising a plurality of first nanostructures comprising a material having a refractive index different from a refractive index of the substrate;

a spacer layer covering the plurality of first nanostructures, the spacer layer comprising a material having a refractive index different from the refractive index of the plurality of first nanostructures; and

a second layer arranged on the spacer layer, the second layer comprising a plurality of second nanostructures comprising a material having a refractive index different from the refractive index of the spacer layer,

wherein a first shape distribution of the plurality of first nanostructures and a second shape distribution of the plurality of second nanostructures are set so as to focus light of a first wavelength and a light of a second wavelength different from the first wavelength at a same focal length, and

wherein a separation distance between the plurality of first nanostructures and the plurality of second nanostructures in the stacking direction is in a range from λ/ 4 to 2 λ, where λ is a longer wavelength of the first wavelength and the second wavelength.