Bifocal lens and imaging device including same
US-2016377842-A1 · Dec 29, 2016 · US
US9703018B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9703018-B2 |
| Application number | US-201214118539-A |
| Country | US |
| Kind code | B2 |
| Filing date | May 16, 2012 |
| Priority date | May 18, 2011 |
| Publication date | Jul 11, 2017 |
| Grant date | Jul 11, 2017 |
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The invention relates to a lens which has an extended range of focus, wherein the lens consists of a solid material, the optical surfaces of the lens are transparent and the lens has a focal power distribution. According to the invention, the focal power distribution F G of the lens ( 1 ), in relation to a plane perpendicular to the optical axis ( 10 ), changes as a function of the radial height r and of the azimuth angle phi of the aperture between a base value of the focal power F L not equal to zero and a maximum value F Smax . Hence, the focal power distribution emerges as F G ( r ,phi)= F L +F S ( r ,phi), with the spiral focal power component F S ( r ,phi)= F Smax ( r )* w (phi), where F Smax (r) depends nonlinearly on the radius and w(phi) is a factor for the focal power component with a spiral profile.
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The invention claimed is: 1. A lens with an extended range of focus, wherein the lens consists of a solid, transparent material and has two manufactured optical surfaces, wherein the lens has a focal power distribution F G , characterized in that the focal power distribution F G of the lens, in relation to a plane perpendicular to the optical axis, changes as a function of the radial height r and of the azimuth angle phi of the aperture between a base value of the focal power F L not equal to zero and a maximum value F Smax and hence results in the focal power distribution F G ( r ,phi)= F L +F S ( r ,phi), with a spiral focal power component F S ( r ,phi)= F Smax ( r ,phi)* w (phi), where F Smax (r) depends nonlinearly on the radius and w(phi) is a factor for the focal power component with the spiral profile, which, in general, is described by the formula w ( phi ) = ∑ i = 1 N I i exp [ - a i ( phi - w i ) 2 ] , and w i are the peak positions in the angular distribution function; I i are intensity values of the individual peaks; a i >0 are damping coefficients for the respective peak positions and i is a counter and M≧i is a final value. 2. A lens with an extended range of focus, wherein the lens consists of a solid, transparent material and has two manufactured optical surfaces, wherein the lens has a focal power distribution F G , characterized in that the focal power distribution F G of the lens, in relation to a plane perpendicular to the optical axis, changes as a function of the radial height r and of the azimuth angle phi of the aperture between a base value of the focal power F L not equal to zero and a maximum value F Smax and hence results in the focal power distribution F G ( r ,phi)= F L +F S ( r ,phi), with a spiral focal power component F S ( r ,phi)= F Smax ( r ,phi)* w (phi), where F Smax (r) depends nonlinearly on the radius and w(phi) is a factor for the focal power component with the spiral profile, which is described as a linear profile by the formula w ( phi ) = phi 2 π . 3. The lens as claimed in claim 1 or as claimed in claim 2 , characterized in that the maximum focal power F Smax (r) depends nonlinearly on the radius and is described by the polynomial formulae F S ma x ( r ) = ∑ j = 2 N c j * r j or F S ma x ( r ) = ∑ j = 1 N c j * r 2 * j , with the polynomial coefficients c j for a refractive focal power and F
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