Diffractive optical element
A diffractive optical element capable of further reducing zero-order diffraction light includes a diffraction layer including: a high refractive index part in which a plurality of projections are arranged side by side in a cross-sectional shape; and a low refractive index part that has a lower refractive index than the high refractive index part and that includes a recess formed at least between the projections. The projections have a sawtooth shape or a shape that imitates a sawtooth shape by a multi-stage outline shape. An inclined plane that is inclined with respect to a sheet surface of the diffractive optical element, which has a sawtooth shape or a sawtooth shape imitated by a multi-stage outline shape, has a concave curved plane that is concave toward the projections.
1. A diffractive optical element shaping light, comprising a diffraction layer including:
a high refractive index part in which a plurality of projections are arranged side by side; and
a low refractive index part having a refractive index lower than that of the high refractive index part and including a recess formed at least between the projections, wherein
the projection has a multi-stage shape formed by a plurality of stage portions having different heights,
a deepest surface of the high refractive index part has the largest area per unit area, and a surface of a next stage of the uppermost surface of the high refractive index part has the smallest area per unit area, and
an area of the uppermost surface of the high refractive index part is 0.5 to 0.9 times an area of the lowermost surface of the high refractive index part.
2. The diffractive optical element according to claim 1 ,
wherein the area of each stage portion of the high refractive index part sequentially decreases from the deepest surface toward the surface of the next stage of the uppermost surface per unit area.
3. The diffractive optical element according to claim 1 ,
wherein the high refractive index part forms a diffraction grating having a pattern where a boundary between the projection and the recess includes at least one of a curved line and a polygonal line connecting a plurality of line segments as viewed from a normal direction of a surface on which a concavo-convex shape is formed.
4. The diffractive optical element according to claim 1 ,
wherein the high refractive index part forms a grating cell array type diffraction grating formed in a lattice-like pattern where a plurality of unit cells in which identical concavo-convex shapes are arranged side by side are tiled as viewed from a normal direction of a surface on which the concavo-convex shape is formed.
5. A diffractive optical element shaping light, comprising a diffraction layer including:
a high refractive index part in which a plurality of projections are arranged side by side in a cross-sectional shape; and
a low refractive index part having a refractive index lower than that of the high refractive index part and including a recess formed at least between the projections, wherein
the projection has a sawtooth shape or a shape in which the sawtooth shape is imitated by a multi-stage outline shape,
an inclined plane inclined with respect to a sheet surface of the diffractive optical element having a sawtooth shape or a sawtooth shape imitated by a multi-stage outline shape has a concave curved plane which is concave toward the projection, and
an area of the uppermost surface of the high refractive index part is 0.5 to 0.9 times an area of the lowermost surface of the high refractive index part.
6. The diffractive optical element according to claim 5 ,
wherein the projection has a multi-stage shape imitating the sawtooth shape by a plurality of stage portions having different heights on at least one side of a side surface shape, and
wherein the concave curved plane is imitated by changing at least one of the height and width of the stage portion according to a location.
7. The diffractive optical element according to claim 6 ,
wherein the height per stage of the stage portion is constant, and
wherein the concave curved plane is imitated by changing the width of the stage portion according to a location.
8. The diffractive optical element according to claim 7 ,
wherein, when a direction in which the projections are arranged is an x axis, and a direction in which the inclined plane is elevated is a positive direction of the x axis,
a y axis is perpendicular to the sheet surface of the diffractive optical element, and a projecting direction of the projection is a positive direction of the y axis,
the total number of stages of the stage portions counted including a distal end of the projections is L,
a rate of decrease in width at each level is f,
the number of stages of a target stage portion by setting a lowest position of the recess to 0 is lv,
a height of the stage portion per stage is a constant value of h, and
a width ratio of level zero is C,
a width of the highest level is tw,
a pitch is P,
a curved line which is a locus configured with a concave vertex of level zero and a vertex of each projection in a cross section of the concave curved plane imitated by a multi-stage shape is expressed by the following formulas,
when the ratio of the x coordinate to a pitch is S and the following are defined as:
x′= 0.5× f×lv 2 +C×lv;
S=P/{tw+Σx′i }; and
Σ is performed over i=0 to L−1,
the x and y coordinates of the vertexes of the step shape are expressed as
x= 0.5× f×lv 2 +C×lv
y=lv×h.
9. The diffractive optical element according to claim 5 ,
wherein the projection has a multi-stage shape imitating the sawtooth shape by a plurality of stage portions having different heights on at least one side of a side surface shape, and
wherein the deepest surface has the largest area per unit area, and the surface of the next stage of the uppermost surface has the smallest area per unit area.
10. A diffractive optical element shaping light, comprising a diffraction layer including:
a high refractive index part in which a plurality of projections are arranged side by side in a cross-sectional shape; and
a low refractive index part having a refractive index lower than that of the high refractive index part and including a recess formed at least between the projections, wherein
the projection has a sawtooth shape or a shape in which the sawtooth shape is imitated by a multi-stage outline shape,
an inclined plane inclined with respect to a sheet surface of the diffractive optical element having a sawtooth shape or a sawtooth shape imitated by a multi-stage outline shape has a concave curved plane which is concave toward the projection,
the projection has a multi-stage shape imitating the sawtooth shape by a plurality of stage portions having different heights on at least one side of a side surface shape,
the concave curved plane is imitated by changing at least one of the height and width of the stage portion according to a location,
the height per stage of the stage portion is constant,
the concave curved plane is imitated by changing the width of the stage portion according to a location,
when a direction in which the projections are arranged is an x axis, and a direction in which the inclined plane is elevated is a positive direction of the x axis,
a y axis is perpendicular to the sheet surface of the diffractive optical element, and a projecting direction of the projection is a positive direction of the y axis,
the total number of stages of the stage portions counted including a distal end of the projections is L,
a rate of decrease in width at each level is f,
the number of stages of a target stage portion by setting a lowest position of the recess to 0 is lv,
a height of the stage portion per stage is a constant value of h, and
a width ratio of level zero is C,
a width of the highest level is tw,
a pitch is P,
a curved line which is a locus configured with a concave vertex of level zero and a vertex of each projection in a cross section of the concave curved plane imitated by a multi-stage shape is expressed by the following formulas,
when the ratio of the x coordinate to a pitch is S and the following are defined as:
x′= 0.5× f×lv 2 +C×lv;
S=P/{tw+Σx′i};
Σ is performed over i=0 to L−1,
the x and y coordinates of the vertexes of the step shape are expressed as
x= 0.5× f×lv 2 +C×lv
y=lv×h.