This application claims priority from Korean Patent Application No. 10-2016-0127546, filed on Oct. 4, 2016 in the Korean Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference.
Apparatuses consistent with the present disclosure relate to varifocal lenses in which focus changes as focal length changes, and more particularly, to rotational varifocal planar lenses capable of being fabricated in a planar form with a small thickness.
Similar to compact cameras and cameras for mobile devices, mirrorless cameras and single-lens reflex cameras being fabricated to have smaller sizes. Accordingly, lenses for small cameras are required. Until now, most lenses for small cameras have been designed as fixed focus lenses, that is, lenses with a fixed focal length. However, since the angle of view of the fixed focal length lens is fixed, it is difficult to take a picture with various effects. In particular, compact cameras or cameras for mobile devices are generally designed to be suitable for close-up photography, and thus, may not be suitable for long-distance photography.
A multifocal lens having multiple focal lengths or a zoom lens having a variable focal length is widely used as a lens for taking a picture from both a short distance away from the object being photographed and a long distance away from the object being photographed. However, since the zoom lens is usually composed of a plurality of lens elements, a camera using the zoom lens is long and heavy.
Exemplary embodiments provide varifocal lenses including a first phase plate and a second phase plate which are rotatable relative to each other about an optical axis.
According to an aspect of an exemplary embodiment, there is provided a first phase plate including a plurality of first phase conversion elements, at least some of the plurality of first phase conversion elements having diameters that are different from each other; and a second phase plate including a plurality of second phase conversion elements, at least some of the plurality of first phase conversion elements having diameters that are different from each other, wherein the first phase plate and the second phase plate face each other along an optical axis and are rotatable relative to each other about the optical axis to create relative rotational displacement between the first phase plate and the second phase plate, and the plurality of first phase conversion elements and the plurality of second phase conversion elements are configured so that light transmitted through the first phase plate and the second phase plate is focused on different positions on the optical axis depending on the relative rotational displacement between the first phase plate and the second phase plate.
The plurality of first phase conversion elements and the plurality of second phase conversion elements may have radially symmetric column shapes, wherein the plurality of first phase conversion elements may have different diameters from each other depending on positions of the plurality of first phase conversion elements on the first phase plate so that a phase of light transmitted through the first phase plate changes differently depending on the positions of the plurality of first phase conversion elements on the first phase plate, and the plurality of second phase conversion elements may have different diameters from each other depending on positions of the plurality of second phase conversion elements on the second phase plate so that a phase of light transmitted through the second phase plate changes differently depending on the positions of the plurality of second phase conversion elements on the second phase plate.
The diameters of the plurality of first phase conversion elements according to the positions of the plurality of first phase conversion elements on the first phase plate and the diameters of the plurality of second phase conversion elements according to the positions of the plurality of second phase conversion elements on the second phase plate may be determined so that the phase of light transmitted through each of the first phase plate and the second phase plate is proportional to a square of a radial distance with respect to the optical axis and proportional to an azimuth angle.
Each of the first phase plate and the second phase plate may be spatially divided into at least two regions in at least one of an azimuth direction and a radial direction, and the plurality of first phase conversion elements may be arranged in the at least two regions of the first phase plate and the plurality of second phase conversion elements may be arranged in the at least two regions of the second phase plate so that the at least two regions of each of the first phase plate and the second phase plate have operating wavelengths that are different from each other.
Thicknesses of the plurality of first phase conversion elements may be equal to thicknesses of the plurality of second phase conversion elements.
The first phase plate may further include a first substrate that is transparent and the plurality of first phase conversion elements are arranged on the first substrate at regular intervals in a square lattice or hexagonal lattice shape, and the second phase plate may further include a second substrate that is transparent and the plurality of second phase conversion elements are arranged on the second substrate at regular intervals in a square lattice or hexagonal lattice shape.
A space between the plurality of first phase conversion elements and a space between the plurality of second phase conversion elements may be less than an operating wavelength.
Each of the plurality of first phase conversion elements and each of the plurality of second phase conversion elements may include a material having a refractive index higher than that of the first substrate and the second substrate.
Each of the first substrate and the second substrate may have a flat plate shape, and the first phase plate and the second phase plate may be arranged so that the plurality of first phase conversion elements and the plurality of second phase conversion elements face each other.
The first phase plate may further include a first dielectric layer provided on the first substrate and filling spaces between the plurality of first phase conversion elements, the second phase plate may further include a second dielectric layer provided on the second substrate and filling spaces between the plurality of second phase conversion elements, and each of the first dielectric layer and the second dielectric layer may be transparent.
A thickness of the first dielectric layer may be greater than thicknesses of the plurality of first phase conversion elements so that the first dielectric layer completely covers the plurality of first phase conversion elements, and a thickness of the second dielectric layer may be greater than thicknesses of the plurality of second phase conversion elements so that the second dielectric layer completely covers the plurality of second phase conversion elements.
The first phase plate and the second phase plate may be arranged so that the first dielectric layer and the second dielectric layer are in contact with each other.
When the relative rotational displacement between the first phase plate and the second phase plate is 0, a refractive power of the varifocal lens may be greater than 0, and the plurality of first phase conversion elements and the plurality of second phase conversion elements may be arranged so that the refractive power of the varifocal lens is proportional to the relative rotational displacement between the first phase plate and the second phase plate.
The varifocal lens may further include: a third phase plate including a plurality of third phase conversion elements, at least some of the plurality of third phase conversion elements having diameters that are different from each other; and a fourth phase plate including a plurality of fourth phase conversion elements, at least some of the plurality of fourth phase conversion elements having diameters that are different from each other, wherein the plurality of first phase conversion elements and the plurality of second phase conversion elements are configured so that the first phase plate and the second phase plate collectively function as a first lens element, and the plurality of third phase conversion elements and the plurality of fourth phase conversion elements are configured so that the third phase plate and the fourth phase plate collectively function as a second lens element.
The first phase plate, the second phase plate, the third phase plate, and the fourth phase plate may be sequentially arranged along the optical axis, the third phase plate and the fourth phase plate may be rotatable relative to each other about the optical axis to create relative rotational displacement between the third phase plate and the fourth phase plate, and the plurality of third phase conversion elements and the plurality of fourth phase conversion elements may be configured so that light transmitted through the third phase plate and the fourth phase plate is focused on different positions on the optical axis depending on the relative rotational displacement between the third phase plate and the fourth phase plate.
Each of the plurality of third phase conversion elements and each of the plurality of fourth phase conversion elements may have a radially symmetric column shape, the plurality of third phase conversion elements may have different diameters from one another depending on positions of the plurality of third phase conversion elements on the third phase plate so that a phase of light transmitted through the third phase plate changes differently depending on the positions of the plurality of third phase conversion elements on the third phase plate, and the plurality of fourth phase conversion elements may have different diameters from one another depending on positions of the plurality of fourth phase conversion elements on the fourth phase plate so that a phase of light transmitted through the fourth phase plate changes differently depending on the positions of the plurality of fourth phase conversion elements on the fourth phase plate.
The diameters of the plurality of third phase conversion elements according to the positions of the plurality of third phase conversion elements on the third phase plate and the diameters of the plurality of fourth phase conversion elements according to the positions of the plurality of fourth phase conversion elements on the fourth phase plate may be determined so that the phase of light transmitted through each of the third phase plate and the fourth phase plate is proportional to a square of a radial distance with respect to the optical axis and proportional to an azimuth angle.
The first lens element and the second lens element may have refractive powers with a same sign, and the plurality of first phase conversion elements, the plurality of second phase conversion elements, the plurality of third phase conversion elements, and the plurality of fourth phase conversion elements may be arranged so that a degree of change of a refractive power of the first lens element with respect to the relative rotational displacement between the first phase plate and the second phase plate is equal to a degree of change of a refractive power of the second lens element with respect to relative rotational displacement between the third phase plate and the fourth phase plate.
The plurality of first phase conversion elements, the plurality of second phase conversion elements, the plurality of third phase conversion elements, and the plurality of fourth phase conversion elements may be arranged so that the first lens element and the second lens element have refractive powers with opposite signs, the plurality of first phase conversion elements and the plurality of second phase conversion elements are arranged in a same form, and the plurality of third phase conversion elements and the plurality of fourth phase conversion elements are arranged in a same form.
The first lens element and the second lens element may have refractive powers with a same sign, and the plurality of first phase conversion elements, the plurality of second phase conversion elements, the plurality of third phase conversion elements, and the plurality of fourth phase conversion elements are arranged so that a degree of change of a refractive power of the first lens element with respect to the relative rotational displacement between the first phase plate and the second phase plate is different from a degree of change of a refractive power of the second lens element with respect to relative rotational displacement between the third phase plate and the fourth phase plate.
According to an aspect of another exemplary embodiment, there is provided an image acquisition device including: a varifocal lens including a first phase plate including a plurality of first phase conversion elements, at least some of the plurality of first phase conversion elements having diameters that are different from each other, and a second phase plate including a plurality of second phase conversion elements, at least some of the plurality of second phase conversion elements having diameters that are different from each other; an actuator configured to rotationally displace the first phase plate and the second phase plate relative to each other; a controller configured to control the actuator to create a relative rotational displacement between the first phase plate and the second phase plate; and an image pickup device, wherein the first phase plate and the second phase plate face each other along an optical axis and are rotatable relative to each other about the optical axis, and the plurality of first phase conversion elements and the plurality of second phase conversion elements are arranged so that light transmitted through the first phase plate and the second phase plate is focused on different positions on the optical axis depending on the relative rotational displacement between the first phase plate and the second phase plate.
Additional aspects will be set forth in part in the description which follows and, in part, will be apparent from the description, or may be learned by practice of the presented embodiments.
The above and/or other aspects will become apparent and more readily appreciated from the following description of exemplary embodiments, taken in conjunction with the accompanying drawings in which:
Hereinafter, with reference to the accompanying drawings, exemplary embodiments will be described in detail. Like reference numerals refer to like elements throughout, and in the drawings, sizes of elements may be exaggerated for clarity and convenience of explanation. The embodiments described below are merely exemplary, and various modifications may be possible from the embodiments. In a layer structure described below, an expression such as “above” or “on” may include not only the meaning of “immediately on/under/to the left/to the right in a contact manner”, but also the meaning of “on/under/to the left/to the right in a non-contact manner”.
The first phase conversion element 112 and the second phase conversion element 122 may protrude above the surface of the first substrate 111 and the surface of the second substrate 121, respectively. For example,
Each of the first phase conversion elements 112 may have, for example, a cylindrical shape. Each of the second phase conversion elements 122 may also have a cylindrical shape. However, the first and second phase conversion elements 112 and 122 do not necessarily have to have a cylindrical shape, but instead may have the form of a radially symmetric polygonal column, such as a square column or a hexagonal column. The first and second phase conversion elements 112 and 122 may be formed using a general semiconductor patterning process, although are not limited thereto and may also be formed using many other types of processes. For example, after stacking the material layers of the first and second phase conversion elements 112 and 122 on the surfaces of the first and second substrates 111 and 121, respectively, the first and second phase conversion elements 112 and 122 may be formed simply by patterning the material layers by using a photolithography process or some other type of process known to those skilled in the art.
The first substrate 111 and the second substrate 121 may include, for example, a transparent glass plate, a transparent plastic material or a combination thereof. The first and second phase conversion elements 112 and 122 may include a material having a refractive index higher than a refractive index of a material of the first and second substrates 111 and 121. For example, the first and second phase conversion elements 112 and 122 may include a high refractive index material, such as germanium (Ge), amorphous silicon (a-Si), polycrystalline silicon (p-Si), monocrystalline silicon (c-Si), group III-V compound, TiO2, or SiNx, although they are not limited thereto. For example, the refractive index of the first and second phase conversion elements 112 and 122 may be greater than 3.5 at a visible light wavelength. It is understood, of course, that the refractive index of the first and second phase conversion elements 112 and 122 may also be equal to or less than 3.5.
When incident light passes through the first and second phase conversion elements 112 and 122 having the high refractive indexes, the phase of the incident light is delayed by the first and second phase conversion elements 112 and 122, and the phase of a transmitted light transmitted through the first and second phase conversion elements 112 and 122 is different from the phase of the incident light. The extent to which the phase of the incident light changes may be determined depending on the sizes and the thicknesses t of the first and second phase conversion elements 112 and 122. If the first and second phase conversion elements 112 and 122 have, for example, a shape of the form of a polygonal column, the phase of the transmitted light changes depending on the diameters d and the thicknesses t of the first and second phase conversion elements 112 and 122.
For example,
Accordingly, when at least some of the first and second phase conversion elements 112 and 122 have different sizes or different thicknesses, the transmitted light transmitted through the first and second phase plates 110 and 120 may have different phases depending on local positions of the first and second phase conversion elements 112 and 122 on the first and second plates 110 and 120. That is, the phase of the transmitted light changes locally depending on the positions of the first and second phase conversion elements 112 and 122 on the first and second phase plates 110 and 120. By appropriately arranging the plurality of first and second phase conversion elements 112 and 122 having different sizes or different thicknesses, it is possible to control, as desired, the wave front of the transmitted light transmitted through the first and second phase plates 110 and 120. For example, depending on the arrangement of the first and second phase conversion elements 112 and 122, the first and second phase plates 110 and 120 may serve as refractive optical elements such as lenses. The first and second phase plates 110 and 120 may also serve as other types of optical elements in addition to or instead of lenses.
According to the present exemplary embodiment, the arrangement of the first and second phase conversion elements 112 and 122 may be designed so that the phase distribution of the transmitted light transmitted through the first and second phase plates 110 and 120 is proportional to the product of the square of a radial distance from the optical axis OX and an azimuth angle, as shown in Equation 1, and the first phase plate 110 and the second phase may be disposed to face each other. In Equation 1, φ represents a phase change of transmitted light, r represents a radial distance from an optical axis OX, 8 represents an azimuth angle, and a represents a proportional constant.
φ=aθr2 [Equation 1]
Then, when the first phase plate 110 and the second phase plate 120 are rotated relative to each other about the optical axis OX, the total phase change of the varifocal lens 100, which is caused by a combination of the first phase plate 110 and the second phase plate 120, varies depending on the relative rotational displacement between the first phase plate 110 and the second phase plate 120. For example, the refractive power of the varifocal lens 100 may be changed according to the relative rotational displacement and the displacement direction of the first phase plate 110 and the second phase plate 120 so that the focal length of the varifocal lens 100 is changed. To this end, the first and second phase conversion elements 111 and 122 may be arranged so that light transmitted through the first phase plate 110 and the second phase plate 120 is focused on different positions on the optical axis OX according to the relative rotational displacement between the first phase plate 110 and the second phase plate 120. That is, the first and second phase conversion elements 112 and 122 may be arranged so that the phase distribution of the transmitted light transmitted through the first and second phase plates 110 and 120 is as shown in Equation 1.
For example,
When the phase change φ at a position of each of the first and second phase plates 110 and 120 is determined, the diameters of the first and second phase conversion elements 112 and 122 at the respective positions of the first and second phase plates 110 and 120 may be determined based on the relationship between the diameters of the first and second phase conversion elements 112 and 122 and a phase change of transmitted light, illustrated in
In Equation 2, f represents a focal length, θrot represents rotational displacement, λ represents the wavelength of incident light, and a represent a proportional constant as shown in Equation 1. The refractive power f−1 may be proportional to the rotational displacement θrot, as shown in Equation 2. Optical characteristics of the varifocal lens 100 may be determined mainly by the proportional constant a. For example, if the proportional constant a is a positive number, the varifocal lens 100 may have a positive refractive power when positive rotational displacement occurs, and as the magnitude of the proportional constant increases, a change in the refractive power due to the rotational displacement may also increase. Therefore, after the proportional constant a is determined depending on desired characteristics of the varifocal lens 100, the arrangement of the first phase conversion elements 112 and the second phase conversion elements 122 may be designed to satisfy the condition of Equation 1.
In the example of
The varifocal lens 100 according to the present exemplary embodiment may be formed in a planar shape and thus may have a small thickness. For example, the varifocal lens 100 may have a small thickness of several um to several mm. Thus, the varifocal lens 100 may provide a zoom function to a compact camera or a camera for a mobile device. In addition, since the varifocal lens 100 according to the present exemplary embodiment may be manufactured by a patterning method using a photolithography process, a complicated processing step for forming a complex curved surface of an optical lens element is not required. Accordingly, the varifocal lens 100 may be easily manufactured and quality deterioration due to a process error may be reduced, and thus, image quality may be improved. Furthermore, since the refractive power may be changed by simply rotating the first phase plate 110 or the second phase plate 120, it is not necessary to secure an additional space for adjusting the refractive power. Also, since a phase change is given in the form of a quadratic polynomial with respect to a radial distance, as shown in Equation 1, a phase distribution change at a position away from the optical axis OX is relatively small. Therefore, it is easy to design a varifocal lens having a large diameter.
In order to sufficiently protect the first and second phase conversion elements 112 and 122, the thickness of the first dielectric layer 113 may be greater than that of the first phase conversion element 112 to completely cover the first phase conversion element 112, and the thickness of the second dielectric layer 123 may be greater than that of the second phase conversion element 122 to completely cover the second phase conversion element 122. In this case, the first and second phase conversion elements 112 and 122 may not be damaged when the first phase plate 110 and the second phase plate 120 are relatively rotated. Accordingly, as shown in
A plurality of first phase conversion elements 112 and a plurality of second phase conversion elements 122 may be arranged so that a pair of the first and second phase plates 110 and 120 functions as a first lens element. A plurality of third phase conversion elements 132 and a plurality of fourth phase conversion elements 142 may be arranged so that a pair of the third and fourth phase plates 130 and 140 functions as a second lens element. The first phase plate 110 and the second phase plate 120 may be configured to be rotatable relative to each other about the optical axis, and the third phase plate 130 and the fourth phase plate 140 may be configured to be rotatable relative to each other in the direction perpendicular to the optical axis. The first and second phase conversion elements 112 and 122 may be arranged so that light transmitted through the first phase plate 110 and the second phase plate 120 is focused on different positions on the optical axis depending on the relative rotational displacement between the first phase plate 110 and the second phase plate 120. Similarly, the third and fourth phase conversion elements 132 and 142 may be arranged so that light transmitted through the third phase plate 130 and the fourth phase plate 140 is focused on different positions on the optical axis depending on the relative rotational displacement between the third phase plate 130 and the fourth phase plate 140. Accordingly, the focal length of the varifocal lens 300 may vary depending on the relative rotational displacement between the first phase plate 110 and the second phase plate 120 and the relative rotational displacement between the third phase plate 130 and the fourth phase plate 140.
As described above with reference to
In the varifocal lens 300 according to the present exemplary embodiment, the first lens element including the pair of the first and second phase plates 110 and 120 and the second lens element including the pair of the third and fourth phase plates 130 and 140 may be designed to have the same optical characteristics or may be designed to have different optical characteristics.
For example,
Referring to
Referring to
In this configuration, the refractive power of the varifocal lens 300 may be first adjusted in a large range by using the third phase plate 130 and the fourth phase plate 140, and then may be finely adjusted by using the first phase plate 110 and the second phase. Referring to
As may be understood from Equation 2, the refractive powers or focal lengths of the varifocal lenses 100, 200, and 300 are also affected by the wavelength λ of incident light. Accordingly, the first, second, third, and fourth phase plates 110, 120, 130, and 140 may be spatially divided so that the varifocal lenses 100, 200, and 300 may have various operating wavelengths. For example,
According to the present exemplary embodiment, the first, second, third, fourth, and fifth regions 110a, 110b, 110c, 110d, and 110e may have different operating wavelengths. In other words, the diameters of the first phase conversion elements 112 may be selected depending on a local position in the first region 110a so that the first region 110a has a first operating wavelength. The first phase conversion elements 112 may be arranged in each of the second, third, fourth, and fifth regions 110b, 110c, 110d, and 110e so that the second region 110b has a second operating wavelength, the third region 110c has a third operating wavelength, the fourth region 110d has a fourth operating wavelength, and the fifth region 110e has a fifth operating wavelength. For example, in order to allow the varifocal lens 100 to have the same refractive power or focal length with respect to the first to fifth operating wavelengths, the first phase conversion elements 112 may be arranged differently in the first, second, third, fourth, and fifth regions 110a, 110b, 110c, 110d, and 110e. To this end, the proportional constant a for each of the first, second, third, fourth, and fifth regions 110a, 110b, 110c, 110d, and 110e may be selected in inverse proportion to the operating wavelength thereof.
The varifocal lenses 100, 200, 300, and 400 described above may be used in an image acquisition device such as a compact camera or a camera for a mobile device. For example,
Although the varifocal lens 200 shown in
In addition, the image acquisition apparatus 500 may use only the varifocal lens 200, but may further include an additional optical lens element 550. Although only one optical lens element 550 is illustrated in
The image acquisition apparatus 500 may also perform a function of a depth sensor by taking a photograph while continuously adjusting the focal length of the varifocal lens 200. For example, since the distance of the subject varies depending on the focal length of the varifocal lens 200, a plurality of images obtained by performing photographing while continuously changing the focal length from a minimum focal length to a maximum focal length distance may be used to generate a depth map.
When the first and second phase plates 110 and 120 of the varifocal lens 200 are spatially divided as shown in
While the rotational varifocal planar lens described above has been shown and described in connection with the exemplary embodiments illustrated in the drawings, it will be understood by those of ordinary skill in the art that various modifications and equivalent embodiments can be made therefrom. Therefore, the disclosed exemplary embodiments should be considered in an illustrative sense rather than a restrictive sense. The range of the embodiments will be in the appended claims, and all of the differences in the equivalent range thereof should be understood to be included in the embodiments.
Number | Date | Country | Kind |
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10-2016-0127546 | Oct 2016 | KR | national |