This invention relates to an imaging system and method for imaging with extended depth of focus.
Extension of the depth of focus of imaging is a common goal of various imaging systems. Techniques for extending the depth of focus of imaging systems have been developed, and are described for example in the following publications:
U.S. Pat. No. 6,536,898 and U.S. Pat. No. 7,025,454 disclose extended depth of field optics for human eye. This technique utilizes modification of contact lenses, intraocular implants, and/or the surface of the eye itself. This is accomplished by applying selected phase variations to these optical elements (e.g., by varying surface thickness of the cornea of the eye). The phase variations EDF-code the wavefront and cause the optical transfer function to remain essentially constant within a range of distances from the in-focus position. This provides a coded image on the retina. The human brain decodes this coded image, resulting in an in-focus image over an increased depth of field.
US 2009/0279189 describes a lens having extended depth of focus. The lens includes a plurality of lens layers, each lens layer being axi-symmetric and having an extended depth of focus to focus light in a corresponding section of a focal curve in the form of a straight line located on an optical axis. In the optical system, light is focused on an optical axis to obtain a clear image in a wide distance range between a camera and an object. The optical system has a point spread function that is simpler and more symmetric. That is, the optical system provides improved continuity of a lens surface and easiness and flexibility in optical designing.
U.S. Pat. No. 7,365,917, U.S. Pat. No. 7,061,693, WO 07/141,788, all assigned to the assignee of the present application, describe all-optical techniques for extending the depth of focus being thus suitable for use in ophthalmic applications. According to these techniques, an imaging arrangement comprises an imaging lens having a certain affective aperture, and an optical element associated with said imaging lens. The optical element is configured as a phase-affecting, substantially non-diffractive optical element defining a spatially low frequency phase transition. The optical element and the imaging lens define a predetermined pattern formed by spaced-apart substantially optically transparent features of different optical properties.
There is a need in the art in a novel all-optical technique, which provides for appropriately extended depth of focus (EDOF) of an imaging lens unit.
The present invention solves the above need by providing a novel coding mechanism for coding a light field in the vicinity of an imaging lens unit. The present invention takes advantage of the earlier technique developed by the inventors and disclosed for example in the above-indicated patent publications U.S. Pat. No. 7,365,917, U.S. Pat. No. 7,061,693, WO 07/141,788.
The main idea of the present invention is based on the understanding of the following: Imaging systems, such as human eye, have a depth of focus (DOF) determined by a number of physical parameters—F/#, illumination spectrum and the aberrations terms (deviations from ideal imaging). For aberration-free system, the DOF could be defined as follows (using Rayleigh ¼ wave rule of thumb):
DOF=4λF/#2
where F/#=D/EFL, D is the system clear aperture, and EFL is the system effective focal length.
Therefore, in order to extend the DOF of such an imaging system, the aperture of the imaging system is usually reduced, unavoidably resulting in the lost of energy and resolution. EDOF technology, developed by the inventors, utilizes phase-only coding (e.g. phase mask), having large spatial features (i.e. low spatial frequency phase transitions), located in the imaging system entrance pupil/aperture plane/exit pupil in order to extend the DOF without reducing the aperture, i.e. causing neither loss of energy, nor loss of resolution. This technique eliminates a need for any image processing in order to restore the image.
Phase coding of the effective aperture of an imaging lens unit for extending the depth of focus of the lens unit results in a total profile of Through Focus Modulation Transfer Function (TFMTF) different from that of the imaging lens unit with no phase coding. The inventors have found that such TFMTF profile defined by the EDOF-based phase coded imaging lens unit can be further optimized to obtain such a TFMTF profile, in which the TFMTF plot components corresponding to the desirably extended depth of focus for different wavelengths overlap in the optimal way. The optimization comprises applying additional coding to the light field in the vicinity of the phase coded effective aperture of the imaging lens unit selected to take into account the EDOF effect to be obtained by the phase coding within the imaging lens unit, e.g. continuous range EDOF or discrete multi-range EDOF, and to compensate for longitudinal chromatic aberrations (LCA) of such EDOF imaging lens unit. Further details of lenses providing phase coding are given in U.S. Pat. No. 7,061,693 issued on Jun. 13, 2006 and U.S. Pat. No. 7,365,917 issued on Apr. 29, 2008 both to Zalevsky. Both of said patents are hereby incorporated by reference herein in their entirety.
The LCA cause a shift in the extended focal position for different wavelengths, and could thus smear the performance of the EDOF equipped imaging system. The invention provides for compensating for LCA effect while extending the depth of focusing of the imaging lens unit. To this end, the invention utilizes a dispersion profile coding (chromatic aberrations correction) of the light field which has been or is to be phase coded to thereby provide imaging with the desired profile of extended depth of focus for multiple wavelengths where the wavelengths' TFMTF profiles are desirably overlapping within the EDOF profile. The term “compensating for LCA” as used herein means reducing LCA for a lens relative to the same lens exclusive of the dispersion profile coding.
Thus, the present invention in its one broad aspect provides an optical processor for applying to a light field passing through a predetermined imaging lens unit, said optical processor comprising a pattern in the form of spaced apart regions of different optical properties, said pattern being configured to define: a phase coder affecting Through Focus Modulation Transfer Function profiles for different wavelength components of said light field in accordance with a predetermined profile of an extended depth of focusing of said light field passing through the imaging lens unit; and a dispersion profile coder configured to provide a predetermined overlapping between said profiles of the Through Focus Modulation Transfer Functions within said predetermined profile of the extended depth of focusing.
It should be noted that the present invention is not limited to “transmission mode” applications (such as ophthalmic applications), but is at the same time applicable to “reflective mode” imaging systems. In other words, the object and imaging planes may be located at the same side or at the opposite sides of the imaging lens unit. Accordingly, the term “imaging lens unit” should be interpreted broader than just one or more lenses, but also mirror or lens with reflective coating. Also, the term TFMTF should be referred to as through focus modulation transfer function.
The phase coder is implemented as a first pattern formed by a predetermined number of phase transitions being of substantially the same transparency and arranged with a low spatial frequency, so as to induce substantially non-diffractive phase effect onto the light field passing therethrough. The dispersion profile coder is implemented as a second pattern, which is substantially diffractive and which is configured to provide a predetermined optical power addition to the imaging lens unit. The optical power of the chromatic aberrations corrector is selected such that an imaging lens arrangement formed by said predetermined imaging lens unit, said phase coder and said dispersion profile coder is characterized by a desired dispersion profile.
In one embodiment of the invention, the first and second patterns are located at front and rear surfaces of the imaging lens unit, with respect to light propagation direction through the imaging lens unit. For example, the first and second patterns may be in the form of first and second surface reliefs on said front and rear surfaces of the imaging lens unit, respectively. According to another example, these may be phase mask and diffractive element located at said surface of the lens unit at a certain distances therefrom up to a physical contact. In yet another example, the first and second patterns may be incorporated in the lens unit, for example the phase coder pattern being formed by spaced-apart regions of a material having a refractive index different from that of the lens unit, and the dispersion profile coder is a diffractive pattern on one of the surfaces of the lens unit.
In another embodiment, the first and second patterns are configured as a surface relief on the same surface of the lens unit.
Thus, the first and second patterns may be defined by phase and diffractive masks located at the same or opposite sides of the lens unit; or these patterns are incorporated in the lens unit; or they define together a combined diffractive pattern comprising a superposition of said first and second patterns and being carried by the imaging lens unit.
According to another broad aspect of the invention, there is provided optical processor for processing light passing therethrough, comprising: an imaging lens unit providing optical power; a non-diffractive phase coder comprising an optical element that includes a pattern of spaced apart regions, said pattern being configured to affect a phase of light passing therethrough while substantially not effecting light diffraction and to provide an extended depth of focus for said lens, the imaging lens unit and said optical element being characterized by a Through Focus Modulation Transfer Function (TFMTF) for each of a plurality of different wavelength components of a light field passing therethrough; and a diffractive dispersion profile coder adapted to provide a reduction of chromatic aberration whereby there is greater overlap between the TFMTFs for the plurality of different wavelength components within the extended depth of focus.
The optical element and the dispersion profile coder may be disposed on the front and rear surfaces of the lens, respectively, or on a same surface of the imaging lens unit. At least one of the optical element and the dispersion profile coder may be incorporated in the imaging lens unit or an element of the imaging lens unit; or at least one of the optical element and the dispersion profile coder may be disposed at a location separated from the imaging lens unit or an element of the imaging lens unit. Yet another option is to combine the optical element and the dispersion profile coder as a superposition of a non-diffractive phase-affecting pattern of said optical element and a diffractive dispersion profile coder.
According to yet another broad aspect of the invention, there is provided an imaging lens carrying an optical processor adapted for extending the depth of focus with a predetermined dispersion profile.
The invention, in its yet further broad aspect, provides an imaging lens arrangement comprising an imaging lens unit and an optical processor associated with said imaging lens unit, the optical processor comprising a pattern of spaced-apart regions of different optical properties, said pattern comprising a phase coder affecting profiles of Through Focus Modulation Transfer Function (TFMTF) for different wavelength components of a light field being imaged in accordance with a predetermined profile of an extended depth of focusing to be obtained by said imaging lens arrangement; and a dispersion profile coder configured in accordance with the said imaging lens unit and said predetermined profile of the extended depth of focusing to provide a predetermined overlapping between said TFMTF profiles within said predetermined profile of the extended depth of focusing.
According to yet further broad aspect of the invention, there is provided an imaging lens comprising a pattern of spaced-apart regions of different optical properties, said pattern comprising a phase coder affecting profiles of Through Focus Modulation Transfer Function (TFMTF) for different wavelength components of a light field being imaged in accordance with a predetermined profile of an extended depth of focusing to be obtained by said imaging lens arrangement; and a dispersion profile coder configured in accordance with the said imaging lens unit and said predetermined profile of the extended depth of focusing to provide a predetermined overlapping between said TFMTF profiles within said predetermined profile of the extended depth of focusing.
In order to understand the invention and to see how it may be carried out in practice, embodiments will now be described, by way of non-limiting example only, with reference to the accompanying drawings, in which:
Reference is made to
Assuming all wavelengths are weighted the same (are of the same intensity), the resulted plot is illustrated in
Thus, for a given value of the TFMTF, the actual obtainable depth of focus (i.e. providing sufficient contract of the image) is smaller than that for each wavelength, e.g. for TFMTF=0.2, about 6 mm focal depth is obtained for each wavelength (
Hence, there is a need to compensate the dispersion such as to cause the TFMTF plots overlap in the optimal way. It should be understood that the optimal way of overlapping means overlap within the required depth of focus region(s), defined by the specific applications. This may be one continuous region as for example required in ophthalmic applications, or dual- or multi-region depth of focus for example for imagers requiring improved image quality in the near and far vision zones.
The required compensation should take into account that DOF extensions for different wavelengths are different, i.e. larger for longer wavelength and smaller for shorter one, and also the initial depth of focus requirements with respect to a specific imaging lens unit. In other words, the chromatic aberrations correction (dispersion profile coding) should be configured in accordance with the depth of focus profiles, of the imaging lens with the EDOF effect, for the multiple wavelengths, e.g. those of the primary colors.
The present invention solves the above problem by providing an all-optical processor to be applied to a light field incident onto a predetermined imaging lens unit (e.g. passing through the lens unit). This optical processor is formed by passing light through a pattern of spaced apart regions of different optical properties. This pattern defines a phase coder affecting TFMTF profiles for different wavelength components in accordance with predetermined EDOF profiles for certain imaging lens unit, and also defines a dispersion profile coder configured to provide a predetermined overlapping between the TFMTF profiles within the EDOF profile.
Reference is made to
It should be understood that the imaging arrangement 10 is configured with one or more optical powers, to provide predetermined extension profile for the focus (focii) defined by said optical power, and to have a desired chromatic dispersion profile. The phase coder is configured to provide said predetermined extension profile, while substantially not adding any optical power to the lens unit. The desired optical power of the entire imaging arrangement for each wavelength is a sum of the respective optical powers of the elements of such arrangement. The dispersion coder is thus configured with a certain optical power (for each wavelength) selected such that the dispersion coder provides desirable shifts of the TFMTFs within the predetermined depth of focus extension profile. It should be understood that desired TFMTFs may be multi-lobe functions. Accordingly, for the given imaging lens with EDOF assembly, different dispersion codings might be used in order to achieve the desired overlap between different wavelength lobes.
Reference is made to
Let us consider the above coding of the imaging lens unit similar to that of the example of
Diffractive lens focal length, fDiff, has the following wavelength dependency:
where f0 is the focal length for a central wavelength λ0.
The diffractive lens 18 used for dispersion profile coding was simulated as made of PMMA material with total thickness, Tthick, determined as:
npmma and nair being respective refractive indices. The optical power of such diffractive lens is determined as that of refractive plano-convex lens having power, and in the present example is:
where R=150 mm is the radius of the plano-convex refractive lens carrying the above described diffractive pattern. In this example, the diffractive lens is configured for ophthalmic application considering the optical power of the eye lens.
Lenses as described herein can be embodied as any suitable ophthalmic lens. The term “ophthalmic lens” refers to an artificial lens for use with the eye. Preferred ophthalmic lenses are made of biomedical materials suitable for contact with eye tissue. The term “ophthalmic lens” includes but is not limited to intraocular lenses (IOLs), contact lenses, and corneal onlays or inlays.
It will be appreciated that non-optical components may be added in some embodiments of ophthalmic lenses (e.g., in intraocular lenses, one or more haptics may be added). Lenses according to aspects of the present invention can comprise combinations of surfaces having any suitable shape (piano, convex, concave). The illustrated embodiments of lenses have only one zone; however, other embodiments may have multiple zones, the zones having different optical powers.
In some embodiments, the lenses may be embodied as intraocular lenses adapted to provide accommodative movement. For example, a lens according to aspects of the present invention can be used in a dual element accommodative lens as described in U.S. Pat. No. 6,488,708 issued Dec. 4, 2002, to Sarfarazi, or a single element accommodative lens as described in U.S. Pat. No. 5,674,282, issued Sep. 7, 1997, to Cumming.
A pattern may be placed on a surface of the lens by various techniques known in the art. As a first example, the pattern may be lathe cut, lased or etched directly into the lens surface. As a second example, the pattern may be provided on a mold having a molding surface for forming the lens surface, wherein the pattern is transferred to the mold during casting of the lens. For example, a conventional manner of making contact lenses involves casting a mixture of lens-forming monomers in a two-part plastic mold. One mold part includes a molding surface for forming the front lens surface, and the second mold part includes a molding surface for forming the back lens surface. The monomer mixture is polymerized, or cured, while in the two-part mold to form a contact lens. The plastic mold parts are injected molded from a metal tool. For such a method, the pattern may be provided on the metal tools, such as by lathing, and thus transferred to the contact lens surface during the casting process.
Having thus described the inventive concepts and a number of exemplary embodiments, it will be apparent to those skilled in the art that the invention may be implemented in various ways, and that modifications and improvements will readily occur to such persons. Thus, the embodiments are not intended to be limiting and presented by way of example only. The invention is limited only as required by the following claims and equivalents thereto.
This application claims the benefit under 35 USC 119(e) of U.S. Provisional Application No. 61/302,588, filed on Feb. 9, 2010, which is incorporated herein by reference in its entirety.
Number | Name | Date | Kind |
---|---|---|---|
3549240 | Sawatari | Dec 1970 | A |
4736734 | Matsuura et al. | Apr 1988 | A |
4923296 | Erickson | May 1990 | A |
4955904 | Atebara et al. | Sep 1990 | A |
5117306 | Cohen | May 1992 | A |
5172143 | Baude et al. | Dec 1992 | A |
5225858 | Portney | Jul 1993 | A |
5245367 | Miller et al. | Sep 1993 | A |
5260727 | Oksman et al. | Nov 1993 | A |
5299062 | Ogata | Mar 1994 | A |
5302477 | Dao et al. | Apr 1994 | A |
5482801 | Smith et al. | Jan 1996 | A |
5543966 | Meyers | Aug 1996 | A |
5662706 | Legerton | Sep 1997 | A |
5674282 | Cumming | Oct 1997 | A |
5715031 | Roffman et al. | Feb 1998 | A |
5748371 | Cathey, Jr. et al. | May 1998 | A |
5757458 | Miller et al. | May 1998 | A |
5768031 | Yang | Jun 1998 | A |
5788883 | Srivastava et al. | Aug 1998 | A |
5822091 | Baker | Oct 1998 | A |
5864379 | Dunn | Jan 1999 | A |
5905561 | Lee et al. | May 1999 | A |
5965330 | Evans et al. | Oct 1999 | A |
5980040 | Xu et al. | Nov 1999 | A |
6024447 | Portney | Feb 2000 | A |
6069738 | Cathey, Jr. et al. | May 2000 | A |
6097856 | Hammond, Jr. | Aug 2000 | A |
6172957 | Ogasawara | Jan 2001 | B1 |
6451056 | Cumming | Sep 2002 | B1 |
6474814 | Griffin | Nov 2002 | B1 |
6488708 | Sarfarazi | Dec 2002 | B2 |
6527389 | Portney | Mar 2003 | B2 |
6533416 | Fermigier et al. | Mar 2003 | B1 |
6536898 | Cathey, Jr. | Mar 2003 | B1 |
6537317 | Steinert et al. | Mar 2003 | B1 |
6554424 | Miller et al. | Apr 2003 | B1 |
6554859 | Lang et al. | Apr 2003 | B1 |
6576012 | Lang | Jun 2003 | B2 |
6661816 | Delfyett et al. | Dec 2003 | B2 |
6685315 | De Carle | Feb 2004 | B1 |
7025454 | Cathey, Jr. | Apr 2006 | B2 |
7061693 | Zalevsky | Jun 2006 | B2 |
7101436 | Taniguchi et al. | Sep 2006 | B2 |
7365917 | Zalevsky | Apr 2008 | B2 |
7411743 | Sugi | Aug 2008 | B2 |
7569312 | Misaka | Aug 2009 | B2 |
7859769 | Zalevsky | Dec 2010 | B2 |
20030142268 | Miller et al. | Jul 2003 | A1 |
20030197906 | Furuta et al. | Oct 2003 | A1 |
20040114102 | Miller et al. | Jun 2004 | A1 |
20040114103 | Miller et al. | Jun 2004 | A1 |
20040145808 | Cathey, Jr. et al. | Jul 2004 | A1 |
20040230299 | Simpson et al. | Nov 2004 | A1 |
20060082882 | Wang et al. | Apr 2006 | A1 |
20060176572 | Fiala | Aug 2006 | A1 |
20080198482 | Zalevsky | Aug 2008 | A1 |
20090088840 | Simpson et al. | Apr 2009 | A1 |
20090112314 | Sarver et al. | Apr 2009 | A1 |
20090147378 | Zalevsky et al. | Jun 2009 | A1 |
20090187242 | Weeber et al. | Jul 2009 | A1 |
20090279189 | Getman et al. | Nov 2009 | A1 |
20090303432 | Suzuki et al. | Dec 2009 | A1 |
20100075114 | Kurihara et al. | Mar 2010 | A1 |
20100149510 | Zaczek et al. | Jun 2010 | A1 |
20110082541 | Zalevsky | Apr 2011 | A1 |
Number | Date | Country |
---|---|---|
101510012 | Aug 2009 | CN |
0369561 | May 1990 | EP |
2137815 | May 1990 | JP |
9957599 | Nov 1999 | WO |
0135880 | May 2001 | WO |
03012528 | Feb 2003 | WO |
03032825 | Apr 2003 | WO |
03052465 | Jun 2003 | WO |
03052492 | Jun 2003 | WO |
03076984 | Sep 2003 | WO |
2004113994 | Dec 2004 | WO |
2007141788 | Dec 2007 | WO |
2009115932 | Sep 2009 | WO |
2009140080 | Nov 2009 | WO |
2010009254 | Jan 2010 | WO |
Entry |
---|
International Search Report, dated Apr. 21, 2011, from corresponding PCT application No. PCT/IL2011/000140, filed on Feb. 9, 2011. |
International Search Report, dated Apr. 18, 2011, from corresponding PCT application No. PCT/IL2011/000141, filed on Feb. 9, 2011. |
International Search Report, dated Apr. 21, 2011, from corresponding PCT application No. PCT/IL2011/000142, filed on Feb. 9, 2011. |
International Search Report, dated Apr. 20, 2011, from corresponding PCT application No. PCT/IL2011/000143, filed on Feb. 9, 2011. |
Bradburn, S. et al., “Realizations of focus invariance in optical-digital systems with wave-front coding,” Applied Optics, Optical Society of America, vol. 36, No. 35, Dec. 10, 1997. pp. 9157-9166. |
Callina, T. et al., “Traditional methods for the treatment of presbyopia: spectacles, contact lenses, bifocal contact lenses,” Ophthalmology Clinics of North America, vol. 19, No. 1, 2006, pp. 25-33.—abstract only. |
Carvalho, L., “A simple mathematical model for simulation of the human optical system based on in vivo corneal data,” Brazilian Journal of Biomedical Enginnering, vol. 19, No. 1, 2003, pp. 29-37. |
Farn, M., “Binary gratings with increased efficiency,” Applied Optics, Optical Society of America, vol. 31, No. 22, Aug. 1, 1992, pp. 4453-4458. |
Feng, D. et al., “Binary sub-wavelength diffractive lenses with long focal depth and high transverse resolution,” Optics Express, Optical Society of America, vol. 16, No. 25, 2008, pp. 20968-20973. |
Fitzgerrell, A. et al., “Defocus transfer function for circularly symmetric pupils,” Applied Optics, Optical Society of America, USA, vol. 36, No. 23, Aug. 10, 1997, pp. 5796-5804. |
Forrest, E., “Eye Scan Therapy for Astigmatism. Journal of the American Optometric Association,” vol. 55, No. 12, Aug. 10, 1997, pp. 894-901. |
Fowler, C. et al., “A gradient-index ophthalmic lens based on Wood's convex pseudo-lens,” Ophthalmic and Physiological Optics, vol. 10, No. 3, 1990, pp. 262-270. |
Hech, E., “Optik,” Addison-Wesley Publishing Company, Bonn, Munchen, Dec. 31, 1989, pp. 441-445. |
Juana, D. et al., “Focusing properties of annular binary phase filters,” Optics Communications, vol. 229, 2004, pp. 71-77. |
Kohn, A., “Visual adaptation: physiology, mechanisms, and functional benefits,” J Neurophysiol, vol. 97, No. 5, Mar. 7, 2007, pp. 3155-3164. |
Mait, J. et al., “Diffractive lens fabricated with binary features less than 60 nm,” Optics Letters, vol. 25, No. 6, Mar. 15, 2000, pp. 381-383. |
Pesudovs, K. et al., “Decreased uncorrected vision after a period of distance fixation with spectacle wear,” Optom Vis Sci, vol. 70, No. 7, 1993, pp. 528-531. |
Petit, R. et al., “Replacement of a very fine grating by a stratified layer: homogenization techniques and the multiple-scale method,” SPIE Proceedings, Application and Theory of Periodic Structures, Diffraction Gratings, and Moir'e Phenomena III, vol. 815, 1987, pp. 25-31. |
Sales, T. et al., “Diffractive superresolution elements,” Journal of the Optical Society of America, vol. 14, No. 7, Jul. 1997, pp. 1637-1646. |
Sullivan, C. et al., “Progressive addition and variable focus lenses: a review,” Ophthalmic and Physiological Optics, vol. 8, No. 4, 1988, pp. 402-414. |
Varamit, C. et al., “Imaging properties of defocused partitioned pupils,” Journal of the Optical Society of America, vol. 2, No. 6, Jun. 1985, pp. 799-802. |
Wang, H. et al., “High focal depth with pure-phase apodizer,” Applied Optics, vol. 40, No. 31, Nov. 1, 2001, pp. 5658-5662. |
Webster, M. et al., “Adapting to astigmatism,” Journal of Vision, 2009. |
Webster, M. et al., “Neural adjustments to image blur,” Nature Neuroscience, vol., No. 9, Sep. 2002, pp. 839-840. |
Yehezkel, O. et al., “Adaptation to astigmatic lens : Effects on lateral interactions,” Visual Sciences Society Annual Meeting, Journal of Vision, 2005. |
Yehezkel, O. et al., “Learning to adapt: Dynamics of readaptation to geometrical distortions,” Vision Research, vol. 50, 2010, pp. 1550-1558. |
Zalevsky, Z. et al., “All-optical axial super resolving imaging using a low-frequency binary-phase mask,” Optics Express, Optical Society of America, vol. 14, No. 7, Apr. 3, 2006, pp. 2631-2643. |
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20110194180 A1 | Aug 2011 | US |
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61302588 | Feb 2010 | US |