Spiral dioptre with meridians of different optical power
An optical device having an optical axis. The device includes at least one surface with at least two meridians, at least one portion of which forms, seen face-on, at least one spiral segment the central point of which is on the optical axis. Each spiral segment defining meridians of different optical powers. The focus obtained extends over a tubular region.
1 . An optical device for providing a lengthened focal region and having an optical axis, the optical device comprising at least one surface with at least two meridians, at least one portion of said surface forms, seen face-on, at least one spiral segment the central point of which is on the optical axis, each spiral segment defining meridians of different optical powers, in order that the focus obtained extends over a tubular region having an elongation parallel to the optical axis and is retained the same throughout the elongation, the one or more spiral segments being bounded by border lines, with each border line being a spiral border line, see face-on, that extends from the center point, having a surface contour that follows a surface pattern of a toric surface that has been spiralized by twisting about the center point, and having a first meridian curved with a first non-zero curvature and a second meridian curved with a second curvature strictly greater than the first curvature, the second meridian being perpendicular to the first meridian.
2 . The optical device as claimed in claim 1 , the one or more spiral segments being generated by spiralization of first and second toric surfaces, the first toric surface having a first meridian curved with a first non-zero curvature about an axis of revolution of a first torus and a second meridian curved with a second curvature strictly greater than the first curvature, the second meridian being perpendicular to the first meridian, the second toric surface having a first meridian curved with a first non-zero curvature about an axis of revolution of a second torus and a second meridian curved with a second curvature strictly greater than the first curvature and perpendicular to the first meridian of the second toric surface,
the first and second toric surfaces each comprising a plurality of azimuthal angular sectors arranged about the optical axis,
the first meridian of the first toric surface and the first meridian of the second toric surface have azimuthal orientations separated by a non-zero angle about the optical axis,
the spiral segments defining first and second optical-power meridians resulting from the first meridian of the first toric surface and from the first meridian of the second toric surface.
3 . The optical device as claimed in claim 2 , an azimuthal angular sector of the first toric surface and an azimuthal angular sector of the second toric surface being adjacent via a spiral-segment border.
4 . The optical device as claimed in claim 2 , the first toric surface and second toric surface each comprising two diametrically opposed azimuthal angular sectors.
5 . The optical device as claimed in claim 4 , each angular sector of the first toric surface being adjacent to the two angular sectors of the second toric surface.
6 . The optical device as claimed in claim 2 , the angle between the azimuthal orientations of the first meridian of the first toric surface and the first meridian of the second toric surface is comprised between 60° and 90°.
7 . The optical device as claimed in claim 2 , wherein the first curvature of the first toric surface is equal to the first curvature of the second toric surface.
8 . The optical device as claimed in claim 2 , wherein the second curvature of the first toric surface is equal to the second curvature of the second toric surface.
9 . The optical device as claimed in claim 1 , the radius of a spiral segment being related, in polar coordinates, to the angle of the spiral by a linear law, a quadratic law or a logarithmic law.
10 . The optical device as claimed in claim 1 , furthermore comprising a spherical surface centered on the optical axis.
11 . The optical device as claimed in claim 1 , forming an optical lens the front face of which is the surface with at least one spiral segment.
12 . The use of an optical device as claimed in claim 1 , to correct vision and/or to concentrate luminous power and/or to form an image.