Optical system and optical apparatus including the same
An optical system includes an aperture stop, a first optical element disposed on one of an object side and an image side of the aperture stop, and a second optical element disposed on the other of the object side and the image side. Each of the first optical element and the second optical element includes an area in which a transmittance changes in a direction perpendicular to an optical axis. The following conditional expressions are satisfied: 0.60≤| m 1/ a 1|<| m 2/ a 2|≤1.40, 0.40≤ T 1( h 1)/ T 2( h 2)<0.98, and 0.30≤2× h 1/φ1≤0.70.
1. An optical system comprising:
an aperture stop;
a first optical element disposed on an object side of the aperture stop; and
a second optical element disposed on an image side of the aperture stop,
wherein each of the first optical element and the second optical element includes an area in which a transmittance changes in a direction perpendicular to an optical axis, and
wherein the following conditional expressions are satisfied:
0.60 ≤|m 1 /a 1 |<|m 2 /a 2|≤1.20,
0.40 ≤T 1( h 1)/ T 2( h 2)<0.98,
0.30≤2 ×h 1/φ1≤0.70, and
0.80≤| m 1/ a 1|/| m 2/ a 2|<1.00
where a1 is a maximum height from the optical axis of an axial ray in the first optical element, a2 is a maximum height from the optical axis of an axial ray in the second optical element, m1 is a maximum height from the optical axis of an outermost off-axis ray in the first optical element, m2 is a maximum height from the optical axis of an outermost off-axis ray in the second optical element, T1(h) is a transmittance of the first optical element at a height h from the optical axis, T2(h) is a transmittance of the second optical element at the height h from the optical axis, φ1 is an effective diameter of the first optical element, φ2 is an effective diameter of the second optical element, and ray heights h1 and h2 satisfy h1/φ1=h2/φ2.
2. The optical system according to claim 1 , wherein the following conditional expression is satisfied:
0.80≤ T 1(φ1/2)/ T 2(φ2/2)<1.20.
3. The optical system according to claim 1 , wherein the following conditional expression is satisfied:
0<(| m 1/ a 1|−1)×(| m 2/ a 2|−1).
4. The optical system according to claim 1 , wherein the following conditional expressions are satisfied:
0.000≤ T 1(φ1/2)≤0.125, and
0.000≤ T 2(φ2/2)≤0.125.
5. The optical system according to claim 1 , wherein the following conditional expressions are satisfied:
0.60≤| m 1/ a 1|<1.00, and
0.60≤| m 2/ a 2|<1.00.
6. The optical system according to claim 1 , wherein the following conditional expression is satisfied:
0.20≤ Dm/Da≤ 0.70
where Da is a diameter of axial rays in a meridional section at a position of the aperture stop, and Dm is a diameter of outermost off-axis rays in the meridional section at the position of the aperture stop.
7. The optical system according to claim 1 , wherein the following conditional expression is satisfied:
| n 1− n 2|≤0.32
where n1 is a refractive index at a d-line of the first optical element, and n2 is a refractive index at a d-line of the second optical element.
8. The optical system according to claim 1 , further comprising:
a first lens unit having a positive refractive power;
a second lens unit including the aperture stop and having a positive refractive power; and
a third lens unit, the first lens unit, the second lens unit, and the third lens unit being disposed in order from the object side to the image side,
wherein the second lens unit includes the first optical element and the second optical element, and
wherein in focusing from an infinite distance to a closest distance, the first lens unit and the third lens unit are immovable and the second lens unit is movable to the object side.
9. The optical system according to claim 1 , further comprising:
a first lens unit having a positive refractive power;
a second lens unit including the aperture stop and having a positive refractive power; and
a third lens unit, the first lens unit, the second lens unit, and the third lens unit being disposed in order from the object side to the image side,
wherein the first lens unit includes one of the first optical element and the second optical element, and the second lens unit includes the other of the first optical element and the second optical element, and
wherein in focusing from an infinite distance to a closest distance, the first lens unit and third lens unit are immovable and the second lens unit is movable to the object side.
10. The optical system according to claim 1 , further comprising:
a first lens unit including the aperture stop and having a positive refractive power;
a second lens unit having a negative refractive power; and
a third lens unit, the first lens unit, the second lens unit, and the third lens unit being disposed in order from the object side to the image side,
wherein the first lens unit includes one of the first optical element and the second optical element, and the third lens unit includes the other of the first optical element and the second optical element, and
wherein in focusing from an infinite distance to a closest distance, the first lens unit and the third lens unit are immovable and the second lens unit is movable to the image side.
11. The optical system according to claim 1 , further comprising:
a first lens unit having a negative refractive power;
a second lens unit having a positive refractive power; and
a third lens unit including the aperture stop and having a positive refractive power, the first lens unit, the second lens unit, and the third lens unit being disposed in order from the object side to the image side,
wherein the second lens unit includes one of the first optical element and the second optical element, and the third lens unit includes the other of the first optical element and the second optical element, and
wherein in focusing from an infinite distance to a closest distance, the first lens unit is immovable and the second lens unit and the third lens unit are movable to the object side, and an interval between the second lens unit and the third lens unit varies.
12. An optical apparatus comprising:
the optical system according to claim 1 ; and
an image sensor configured to receive light as an image formed by the optical system.
13. An optical system comprising:
an aperture stop;
a first optical element disposed on one of an object side and an image side of the aperture stop; and
a second optical element disposed on the other of the object side and the image side,
wherein each of the first optical element and the second optical element includes an area in which a transmittance changes in a direction perpendicular to an optical axis, and
wherein the following conditional expressions are satisfied:
| m 1/ a 1|<| m 2/ a 2|,
0.40≤ T 1( h 1)/ T 2( h 2)<0.98,
0.30≤2× h 1/φ1≤0.70,
0.60≤| m 1/ a 1|<1.00, and
0.60≤| m 2/ a 2|<1.00
where a1 is a maximum height from the optical axis of an axial ray in the first optical element, a2 is a maximum height from the optical axis of an axial ray in the second optical element, m1 is a maximum height from the optical axis of an outermost off-axis ray in the first optical element, m2 is a maximum height from the optical axis of an outermost off-axis ray in the second optical element, T1(h) is a transmittance of the first optical element at a height h from the optical axis, T2(h) is a transmittance of the second optical element at the height h from the optical axis, φ1 is an effective diameter of the first optical element, φ2 is an effective diameter of the second optical element, and ray heights h1 and h2 satisfy h1/φ1=h2/φ2.
14. An optical apparatus comprising:
the optical system according to claim 13 ; and
an image sensor configured to receive light as an image formed by the optical system.