Diffraction optical element, optical system, and imaging apparatus
A diffraction optical element includes a first diffraction grating having a first grating surface and a first grating wall surface, a second diffraction grating having a second grating surface and a second grating wall surface, and a thin film configured to contact the first grating wall surface and the second grating wall surface. The predetermined conditions are satisfied.
1. A diffraction optical element comprising:
a first diffraction grating having a first grating surface and a first grating wall surface;
a second diffraction grating having a second grating surface and a second grating wall surface; and
a plurality of thin films configured to contact the first grating wall surface and the second grating wall surface,
wherein the following conditional expressions are satisfied:
n2<n1<nha,
−0.500<Pe/Pmax<0.700, and
0.013<Pma<0.035
where n1 and n2 are refractive indexes for a designed wavelength of the first diffraction grating and the second diffraction grating, nha is a refractive index for the designed wavelength of each of the plurality of thin films in an effective diameter, Pmax is a maximum value of a phase difference for the designed wavelength between the first diffraction grating and the plurality of thin films in the effective diameter, Pe is a phase difference for the designed wavelength between the first diffraction grating and an outermost thin film among the plurality of thin films in the effective diameter, and Pma is a phase difference for the designed wavelength between the first diffraction grating and a thin film other than the outermost thin film among the plurality of thin films in the effective diameter.
2. The diffraction optical element according to claim 1 , wherein the following conditional expression is satisfied:
0.013<Pcnt <0.035
where Pcnt is an average value of a phase difference for the designed wavelength between the thin film and the first diffraction grating in an annular zone ranging from 20% to 60% of the effective diameter.
3. The diffraction optical element according to claim 1 , wherein the following conditional expression is satisfied:
−0.015<Pe<0.018.
4. The diffraction optical element according to claim 1 , wherein the following conditional expression is satisfied:
−0.005<Pedg<0.021
where Pedg is an average value of a phase difference for the designed wavelength between the thin film and the first diffraction grating in an annular zone ranging from 80% to 100% of the effective diameter.
5. The diffraction optical element according to claim 1 , wherein the following conditional expression is satisfied:
0.000<de/dmax<0.700
where dmax is a maximum thickness of the thin film, and de is a thickness of the thin film with the effective diameter.
6. The diffraction optical element according to claim 1 , wherein the following conditional expression is satisfied:
−0.500<ΔNe/ΔNmax<0.700
where ΔNmax is a maximum difference between the refractive index of the thin film and the refractive index of the first diffraction grating, and ΔNe is a difference between the refractive index of the thin film with the effective diameter and the refractive index of the first diffraction grating.
7. An optical system comprising:
a diffraction optical element according to claim 1 ; and
a holder configured to hold the diffraction optical element.
8. The optical system according to claim 7 , wherein the following conditional expression is satisfied:
0.300<E0/Ld<2.000
where Ld is a distance from an optical surface closest to an object in the optical system to a diffraction surface of the diffractive optical element, and E0 is an effective diameter of the optical surface.
9. The optical system according to claim 7 , wherein a maximum effective diameter of the diffraction optical element with respect to a maximum image height light beam is smaller than a maximum effective diameter of the diffraction optical element with respect to an on-axis light beam.
10. The optical system according to claim 7 , further comprising a diaphragm disposed on an image side of the diffraction optical element.
11. An imaging apparatus comprising:
an optical system that includes a diffraction optical element according to claim 1 ; and
an image sensor configured to receive an image formed by the optical system.
12. The imaging apparatus according to claim 11 , wherein he following conditional expression is satisfied:
0.300<E0/Ld<2.000
where Ld is a distance from an optical surface closest to an object in the optical system to a diffraction surface of the diffractive optical element, and EO is an effective diameter of the optical surface.
13. A diffraction optical element comprising:
a first diffraction grating having a first grating surface and a first grating wall surface;
a second diffraction grating having a second grating surface and a second grating wall surface; and
a plurality of thin films configured to contact the first grating wall surface and the second grating wall surface,
wherein the following conditional expressions are satisfied:
n2<n1<nha,
−0.500<Pe/Pmax<0.700, and
−0.500<ΔNe/ΔNmax<0.700
where n1 and n2 are refractive indexes for a designed wavelength of the first diffraction grating and the second diffraction grating, nha is a refractive index for the designed wavelength of each of the plurality of thin films in an effective diameter, Pmax is a maximum value of a phase difference for the designed wavelength between the first diffraction grating and the plurality of thin films in the effective diameter, Pe is a phase difference for the designed wavelength between the first diffraction grating and an outermost thin film among the plurality of thin films in the effective diameter, ΔNmax is a maximum difference between the refractive indexes of the plurality of thin films and the refractive index of the first diffraction grating, and ΔNe is a difference between the refractive index of the first diffraction grating and the refractive index of the outermost thin film.