Automatic focusing optical system, camera module and electronic equipment

Abstract

The utility model relates to an automatic focusing optical system, a camera module and electronic equipment. The automatic focusing optical system sequentially comprises a focusing element and a focusing element from an object side to an image side along an optical axis, wherein the focusing element can deform when powered on so that the effective focal length of the focusing element can be changed; the object side surface of the first lens is a convex surface, and the image side surface of the first lens is a concave surface; the second lens has negative focal power, and the object side surface and the image side surface of the second lens are concave surfaces; and the third lens has positive focal power, and the object side surface and the image side surface of the third lens are convex surfaces. When the automatic focusing optical system is applied to electronic equipment such as a code scanner, the requirement for efficient and accurate code reading can be met.

Description

Technical Field

[0001] The present application relates to the field of camera technology, and in particular to an autofocus optical system, a camera module and an electronic device. Background Art

[0002] The traditional application of machine vision optics can significantly improve the flexibility and automation of industrial production and is widely used in industrial production. When the optical system is applied to a barcode scanner, the barcode scanner usually needs to obtain images of objects of different sizes and distances, such as barcodes and QR codes, to facilitate the code reading operation. However, the traditional optical system used in the barcode scanner has low focusing efficiency and poor imaging quality, which makes it difficult to meet the needs of fast code reading. Summary of the invention

[0003] Based on this, it is necessary to provide an autofocus optical system, a camera module and an electronic device to address the above technical problems, which can improve the focusing efficiency and imaging quality of the autofocus optical system, thereby meeting the needs of fast and accurate code reading.

[0004] An autofocus optical system, comprising, in order from the object side to the image side along the optical axis:

[0005] A focusing element capable of deforming when powered on so that the effective focal length of the focusing element changes;

[0006] a first lens having positive refractive power, wherein the object-side surface of the first lens is convex and the image-side surface is concave;

[0007] a second lens having negative optical power, wherein both the object-side surface and the image-side surface of the second lens are concave; and,

[0008] A third lens element has positive refractive power, wherein both the object-side surface and the image-side surface of the third lens element are convex surfaces.

[0009] A camera module comprises a photosensitive element and the above-mentioned autofocus optical system.

[0010] An electronic device comprises the camera module as described above.

[0011] The above-mentioned autofocus optical system can deform the focusing element by energizing the focusing element to adjust the effective focal length of the focusing element, thereby adjusting the object distance of the autofocus optical system, which is conducive to achieving high-speed, high-precision and wide-range focusing. The first lens has a positive focal length, and with the convex-concave surface type of the first lens, it can smoothly converge the light collected by the focusing element to the image side, which is conducive to suppressing the generation of aberrations such as distortion, and compressing the total length of the autofocus optical system. At the same time, it can also reduce the burden of the second lens and the third lens on deflecting the light, thereby helping to reduce the aberration sensitivity and tolerance sensitivity of the autofocus optical system. The negative focal length and biconcave surface type of the second lens can reasonably diffuse the light transmitted by the first lens to the image side, while suppressing aberrations and improving the clarity of the image. The positive focal length and biconvex surface type of the third lens are conducive to gently deflecting the light to the imaging surface, improving the matching degree between the incident angle of the light on the imaging surface and the photosensitive element, thereby helping to improve the resolution of the autofocus optical system. Therefore, the above-mentioned autofocus optical system, through the design of the focal power of each lens and the design of the focusing element being arranged on the object side of the first lens, can achieve the effect of efficient focusing through three lenses and one focusing element, and can achieve good imaging quality at different object distances, can omit mechanical focusing mechanisms such as voice coil motors, can meet the requirements of efficient and accurate code reading when applied to electronic devices such as barcode scanners, and is conducive to reducing the size, weight and preparation cost of the autofocus optical system. In addition, the combination of the focusing element and the three lenses can overcome the depth of field limitation without sacrificing the aperture size, which is conducive to improving the relative illumination of the autofocus optical system and improving the imaging quality. BRIEF DESCRIPTION OF THE DRAWINGS

[0012] Figure 1 A schematic diagram of the structure of an auto-focus optical system provided in an embodiment of the present application;

[0013] Figure 2 for Figure 1 The modulation transfer function curve of the autofocus optical system shown is when the object distance is 100 mm;

[0014] Figure 3 for Figure 1 The modulation transfer function curve of the autofocus optical system shown is when the object distance is 300 mm;

[0015] Figure 4 for Figure 1 The modulation transfer function curve of the autofocus optical system shown is when the object distance is 42 mm;

[0016] Figure 5 for Figure 1 Field curvature graph and distortion graph of the autofocus optical system shown;

[0017] Figure 6 for Figure 1 A graph of the incident angle of the principal ray of the autofocus optical system shown;

[0018] Figure 7 for Figure 1 A vertical axis chromatic aberration curve diagram of the autofocus optical system shown;

[0019] Figure 8 for Figure 1 Relative illumination diagram of the autofocus optical system shown.

[0020] Reference numerals:

[0021] 10. Autofocus optical system; 11. Focusing element; 111. First liquid part; 112. Second liquid part; 113. Interface; 114. First protective element; 115. Second protective element; 12. First lens; 13. Second lens; 131. Third lens; 14. Imaging surface; 15. Aperture; 16. Filter. DETAILED DESCRIPTION

[0022] In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.

[0023] See also Figure 1 , Figure 1 The schematic diagram of the structure of the autofocus optical system 10 in some embodiments of the present application is shown. The autofocus optical system 10 provided in the present application includes a focusing element 11, a first lens 12, a second lens 13 and a third lens 131 along the optical axis from the object side to the image side. The autofocus optical system 10 can form a camera module with a photosensitive element, and the photosensitive element can be arranged on the image side of the third lens 131. The light collected by the autofocus optical system 10 can be sequentially adjusted by the focusing element 11, the first lens 12, the second lens 13 and the third lens 131 and then projected onto the imaging surface 14 of the autofocus optical system 10. The imaging surface 14 can coincide with the photosensitive surface of the photosensitive element. The photosensitive element can convert the light into an electrical signal for transmission to realize the camera function. The photosensitive element includes but is not limited to a charge coupled device (CCD) or a complementary metal oxide semiconductor device (CMOSSensor). In some embodiments, the focusing element 11 , the first lens 12 , the second lens 13 and the third lens 131 are coaxially arranged, and the common axis of each element is regarded as the optical axis of the auto-focus optical system 10 .

[0024] The camera module including the auto-focus optical system 10 provided in the present application can be used in electronic devices, for example, it can be installed in the housing of the electronic device, and the electronic device includes but is not limited to a barcode scanner, an industrial camera device, etc., and the barcode scanner is taken as an example in the present application. The auto-focus optical system 10 provided in the present application can realize a fast and accurate focusing function, and has good imaging quality, and can meet the requirements of efficient and accurate barcode reading.

[0025] In some embodiments, the focusing element 11 can be deformed when powered on so that the effective focal length of the focusing element 11 changes, thereby changing the object distance of the autofocus optical system 10 and realizing the autofocus function. In addition, as the voltage applied to the focusing element 11 changes, the effective focal length of the focusing element 11 will also change, which is conducive to the flexible adjustment of the object distance of the autofocus optical system 10, so as to achieve fast, efficient and accurate imaging of subjects at different object distances. The first lens 12 has positive optical power, the object side surface of the first lens 12 is convex, and the image side surface is concave; the second lens 13 has negative optical power, and the object side surface and the image side surface of the second lens 13 are both concave; the third lens 131 has positive optical power, and the object side surface and the image side surface of the third lens 131 are both convex. In the present application, the description of the object side surface of an element can be understood as the surface of the element facing the image side, and the description of the image side surface of an element can be understood as the surface of the element facing the image side. The focusing element 11, the first lens 12, the second lens 13 and the third lens 131 are arranged in sequence in the direction from the object side to the image side.

[0026] The above-mentioned autofocus optical system 10 can deform the focusing element 11 by energizing the focusing element 11, so as to adjust the effective focal length of the focusing element 11, and then adjust the object distance of the autofocus optical system 10, which is conducive to achieving high-speed, high-precision and wide-range focusing. The first lens 12 has a positive focal length, and with the convex-concave surface of the first lens 12, it can smoothly converge the light collected by the focusing element 11 to the image side, which is conducive to suppressing the generation of aberrations such as distortion, and compressing the total length of the autofocus optical system 10. At the same time, it can also reduce the burden of the second lens 13 and the third lens 131 on deflecting light, so as to help reduce the aberration sensitivity and tolerance sensitivity of the autofocus optical system 10. The negative focal length and biconcave surface of the second lens 13 can reasonably diffuse the light transmitted by the first lens 12 to the image side, while suppressing aberrations and improving the clarity of the image. The positive optical power and biconvex shape of the third lens 131 are conducive to smoothly deflecting the light to the imaging surface 14, improving the matching degree between the incident angle of the light on the imaging surface 14 and the photosensitive element, thereby helping to improve the resolution of the autofocus optical system 10.

[0027] Therefore, the above-mentioned autofocus optical system 10, through the design of the focal power of each lens and the design that the focusing element 11 is arranged on the object side of the first lens 12, can achieve the effect of efficient focusing through three lenses and one focusing element 11, and can achieve good imaging quality at different object distances, can omit mechanical focusing mechanisms such as voice coil motors, can meet the requirements of efficient and accurate code reading when applied to electronic devices such as barcode scanners, and is conducive to reducing the size, weight and preparation cost of the autofocus optical system 10. In addition, the combination of the focusing element 11 and the three lenses can overcome the depth of field limitation without sacrificing the aperture size, which is conducive to improving the relative illumination of the autofocus optical system 10 and improving the imaging quality.

[0028] Further, in the present application, the specific type and structural setting of the focusing element 11 are not limited, as long as the effective focal length of the focusing element 11 is adjustable when powered on to realize the focusing function of the autofocus optical system 10. In some embodiments, the focusing element 11 can be a liquid lens, and the focusing element 11 includes a first liquid portion 111 and a second liquid portion 112 adjacent to each other, and the second liquid portion 112 can be located on the image side of the first liquid portion 111. The first liquid portion 111 and the second liquid portion 112 have an interface 113, and the focusing element 11 can change the shape of the first liquid portion 111 and the second liquid portion 112 when powered on to change the shape of the interface 113, thereby changing the deflection effect of the interface 113 on the light, thereby achieving the effect of changing the effective focal length of the focusing element 11. In some embodiments, the first liquid portion 111 can contain a conductive solution such as an aqueous solution, and the second liquid portion 112 can contain an oily liquid such as a silicone oil solution.

[0029] In some embodiments, the focusing element 11 may further include a first protective element 114 and a second protective element 115, wherein the first protective element 114 is adjacent to the first liquid portion 111 and is disposed on the object side of the first liquid portion 111, and the second protective element 115 is adjacent to the second liquid portion 112 and is disposed on the image side of the second liquid portion 112. Both the first protective element 114 and the second protective element 115 may be flat glass, and are used to provide protection for the first liquid portion 111 and the second liquid portion 112, so as to improve the structural reliability of the focusing element 11.

[0030] In some implementations, the effective focal length of the focusing element 11 in the powered state is greater than or equal to 5.8 mm and less than 6.4 mm. When the voltage applied to the focusing element 11 changes, the effective focal length of the focusing element 11 can change within the range of 5.8 mm-6.4 mm, so that the auto-focus optical system 10 has different object distances. Meeting the above numerical range, the focusing element 11 has a sufficiently large effective focal length adjustable range, which can meet the needs of a wide range of focusing, and can cooperate with the design of the first lens 12, the second lens 13 and the third lens 131 so that the auto-focus optical system 10 can achieve good imaging quality under different object distances.

[0031] In some embodiments, the object distance states of the auto-focus optical system 10 corresponding to three effective focal length states of the focusing element 11 are taken as an example. When the effective focal length of the focusing element 11 is 6.2 mm, the object distance of the auto-focus optical system 10 is 100 mm, when the effective focal length of the focusing element 11 is 6.36 mm, the object distance of the auto-focus optical system 10 is 300 mm, and when the effective focal length of the focusing element 11 is 5.85 mm, the object distance of the auto-focus optical system 10 is 42 mm. Of course, according to the change of the voltage applied to the focusing element 11, the effective focal length of the focusing element 11 can be any value between 5.8 mm and 6.4 mm, and when the effective focal length of the focusing element 11 changes arbitrarily between 5.85 mm and 6.2 mm, the object distance of the auto-focus optical system 10 can be any value between 42 mm and 300 mm, which is conducive to adapting to objects of different object distances and achieving good imaging quality.

[0032] In some embodiments, the maximum effective apertures of the first lens 12, the second lens 13 and the third lens 131 are increased successively, and the focal length and surface design of the first lens 12, the second lens 13 and the third lens 131, as well as the position design of the focusing element 11 relative to each lens, are conducive to improving the relative illumination and image height of the autofocus optical system 10, thereby improving the imaging quality.

[0033] In some embodiments, the radii of curvature of the object side and the image side of the third lens 131 are equal. Combined with the optical focal length and surface design of each lens, it is helpful to reduce the design and molding difficulty of the third lens 131, reduce the cost of optical cold processing mold opening, and reduce the preparation cost, while also being able to meet the imaging quality requirements.

[0034] In some embodiments, the auto-focus optical system 10 further includes an aperture 15, which is disposed between the focusing element 11 and the first lens 12. The aperture 15 can effectively receive the light collected by the focusing element 11 and improve the relative illumination and imaging quality of the image by coordinating with the structure and position design of the focusing element 11 and each lens. At the same time, due to the design of the focusing element 11, the auto-focus optical system 10 can break through the depth of field limitation without sacrificing the aperture size of the aperture 15. For example, the aperture value of the aperture 15 can be 5.6 or lower, which is conducive to increasing the amount of light entering the auto-focus optical system 10, and improving the relative illumination and imaging quality.

[0035] In some embodiments, the object side surface and the image side surface of the first lens 12, the second lens 13, and the third lens 131 may all be spherical surfaces. It should be noted that the above embodiments are only examples of some embodiments of the present application. In some embodiments, the surface of each lens may be aspherical, or may be any combination of aspherical or spherical surfaces. In some embodiments, the material of the first lens 12, the second lens 13, and the third lens 131 may all be glass or plastic. The use of lenses made of plastic can reduce the weight of the auto-focus optical system 10 and reduce production costs. The use of lenses made of glass enables the auto-focus optical system 10 to have excellent optical properties and high temperature resistance. It should be noted that the material of each lens in the auto-focus optical system 10 may also be any combination of glass and plastic, and does not necessarily have to be all glass or all plastic.

[0036] In some embodiments, the auto-focus optical system 10 further includes a filter 16, which is disposed between the third lens 131 and the imaging surface 14. The filter 16 is used to filter out interference light to prevent the interference light from being projected onto the imaging surface 14 and affecting normal imaging. The filter 16 includes but is not limited to an infrared cutoff filter element, and the filter 16 may also have other settings according to different filtering requirements.

[0037] In some embodiments, the auto-focus optical system 10 satisfies the conditional formula: 0.5≤f1 / f≤1; wherein f1 is the effective focal length of the first lens 12, and f is the effective focal length of the auto-focus optical system 10. For example, f1 / f can be 0.5, 0.6, 0.7, 0.8, 0.9 or 1. When the above conditional formula is met, the proportion of the optical power of the first lens 12 in the auto-focus optical system 10 can be reasonably configured, which is conducive to suppressing the generation of various aberrations such as distortion, improving the imaging quality of the auto-focus optical system 10, and at the same time compressing the total length of the auto-focus optical system 10, which is conducive to realizing a miniaturized design.

[0038] In some embodiments, the autofocus optical system 10 satisfies the conditional expression: 0<|f2 / f|≤0.5; wherein f2 is the effective focal length of the second lens 13. For example, |f2 / f| can be 0.1, 0.2, 0.3, 0.4 or 0.5. When the above conditional expression is satisfied, the optical power proportion of the second lens 13 in the autofocus optical system 10 can be reasonably configured, so that the second lens 13 can reasonably constrain the trend of light between the first lens 12 and the third lens 131, reduce aberration sensitivity and tolerance sensitivity, and maintain good imaging quality.

[0039] In some embodiments, the auto-focus optical system 10 satisfies the conditional formula: 0.2≤f3 / f≤0.8; f3 is the effective focal length of the third lens 131, and f is the effective focal length of the auto-focus optical system 10. For example, f3 / f can be 0.2, 0.3, 0.4, 0.5, 0.6, 0.7 or 0.8. When the above conditional formula is met, the optical power ratio of the third lens 131 in the auto-focus optical system 10 can be reasonably configured, so that the third lens 131 can reasonably deflect the light to the imaging surface 14, thereby improving the resolution of the auto-focus optical system 10.

[0040] In some embodiments, the auto-focus optical system 10 satisfies the conditional formula: 0.5≤s / f≤1; wherein s is the distance from the object side surface of the focusing element 11 to the image side surface of the third lens 131 on the optical axis, and f is the effective focal length of the auto-focus optical system 10. For example, s / f may be 0.5, 0.6, 0.7, 0.8, 0.9 or 1. When the above conditional formula is satisfied, it is beneficial to compress the size of the auto-focus optical system 10 while maintaining good imaging quality, which is beneficial to the realization of miniaturized design.

[0041] In some embodiments, the auto-focus optical system 10 satisfies the conditional formula: 0<h / f≤0.5; wherein h is the half image height of the auto-focus optical system 10, and f is the effective focal length of the auto-focus optical system 10. For example, h / f can be 0.1, 0.2, 0.3, 0.4 or 0.5. The above conditional output can reasonably configure the ratio of the half image height and the effective focal length of the auto-focus optical system 10, which is conducive to reasonably configuring the field of view and aperture of the auto-focus optical system 10, thereby facilitating the realization of large-scale imaging and increasing the amount of light entering, and improving the relative illumination of imaging.

[0042] In some embodiments, the maximum image plane of the auto-focus optical system 10 is greater than φ4.5 mm, and can match a larger-sized photosensitive element to achieve good imaging quality. In some embodiments, due to the reasonable design of each lens, the total optical length TTL of the auto-focus optical system 10 is less than or equal to 9.9 mm, and the maximum effective optical diameter is less than or equal to 3 mm. It can be made into an M6 thread lens to achieve a miniaturized design, which is conducive to assembly and application in electronic equipment such as barcode scanners.

[0043] Table 1 below shows various parameters of the auto-focus optical system 10 in some embodiments, wherein the various parts from the first protection element 114 of the focusing element 11 to the imaging surface 14 are arranged in sequence from top to bottom according to Table 1.

[0044] Table 1

[0045]

[0046] It should be noted that in Table 1 and Figure 1 In the illustrated embodiment, only one example of the focusing element 11 in one focal length state is illustrated, and the state may be the power-off state of the focusing element 11. In this focal length state, the radius of curvature of the interface 113 between the first liquid portion 111 and the second liquid portion 112 is -14480 mm. When the focusing element 11 is powered on or the driving voltage changes, the radius of curvature of the interface 113 between the first liquid portion 111 and the second liquid portion 112 changes, the effective focal length of the focusing element 11 changes, and the effective focal length of the auto-focus optical system 10 also changes accordingly, so as to realize the auto-focus function.

[0047] In some embodiments, the auto-focus optical system 10 satisfies the data in the following Table 2. The effects that can be obtained by satisfying the following data can be obtained from the above description and will not be repeated here.

[0048] Table 2

[0049]

[0050] In this embodiment, the autofocus optical system 10 has good imaging quality for the visible light band of 436nm-656nm under different object distances. The effective focal length of the autofocus optical system 10 is 6.2mm, the relative aperture D / f=5.6, the full field of view FOV=38.4°, the image height is 4.5mm, and the full field of view distortion is less than 0.7%. By changing the voltage applied to the focusing element 11, fast focus imaging can be achieved within the object distance range of 42mm-300mm. When applied to electronic devices such as barcode scanners, it can meet the requirements of efficient and accurate code reading.

[0051] Combination Figure 2-Figure 8 As shown, Figure 2is a modulation transfer function curve of the auto-focus optical system 10 in this embodiment when the object distance is 100 mm, Figure 3 is a modulation transfer function curve of the auto-focus optical system 10 in this embodiment when the object distance is 300 mm, Figure 4 is a modulation transfer function curve of the auto-focus optical system 10 in this embodiment when the object distance is 42 mm. Figure 2-Figure 4 In the figure, the abscissa represents the spatial frequency (lp / mm) and the ordinate represents the normalized contrast. Figure 5 3 and 4 are field curvature curves and distortion curves of the autofocus optical system 10 in this embodiment, wherein the abscissa of the field curvature curve represents the field curvature size (mm), and the ordinate represents the field angle (°); the abscissa of the distortion curve represents the distortion percentage (%) at a wavelength of 556 nm, and the ordinate represents the field angle (°). Figure 6 : is a graph of the incident angle of the main ray of the auto-focus optical system 10 in this embodiment, wherein the abscissa represents the normalized image height and the ordinate represents the angle value of the main ray. Figure 7 : is a vertical axis chromatic aberration curve diagram of the auto-focus optical system 10 in this embodiment, wherein the abscissa represents the vertical axis chromatic aberration size (um), and the ordinate represents the actual image height (mm). Figure 8 : is a relative illumination diagram of the auto-focus optical system 10 in this embodiment, wherein the abscissa represents the normalized image height, and the ordinate represents the illumination percentage value relative to the center.

[0052] Depend on Figure 2-Figure 8 It can be seen that the MTF value of the autofocus optical system 10 is greater than 0.3 when the spatial frequency is 100lp / mm, the absolute value of the optical distortion is less than 0.6% in the full field of view (φ4.5mm), the relative illumination of the edge field of view is greater than 82%, and aberrations such as chromatic aberration and distortion are effectively corrected, and the system has good imaging quality at different object distances.

[0053] The technical features of the above embodiments may be combined arbitrarily. To make the description concise, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0054] The above-described embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the present application. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the protection scope of the present application shall be subject to the attached claims.

Claims

1. An autofocus optical system, characterized in that: Along the optical axis from the object side to the image side, it includes: A focusing element capable of deforming when powered on so as to change the effective focal length of the focusing element; a first lens having positive refractive power, wherein the object-side surface of the first lens is convex and the image-side surface is concave; a second lens having negative optical power, wherein both the object-side surface and the image-side surface of the second lens are concave; and, A third lens element has positive refractive power, wherein both the object-side surface and the image-side surface of the third lens element are convex surfaces.

2. The autofocus optical system according to claim 1, characterized in that: The autofocus optical system satisfies the following conditional formula: 0.5≤f1 / f≤1; and / or, 0<|f2 / f|≤0.5; and / or, 0.2≤f3 / f≤0.8; Among them, f1 is the effective focal length of the first lens, f2 is the effective focal length of the second lens, f3 is the effective focal length of the third lens, and f is the effective focal length of the autofocus optical system.

3. The autofocus optical system according to claim 1, wherein: The autofocus optical system satisfies the following conditional formula: 0.5≤s / f≤1; Wherein, s is the distance from the object side surface of the focusing element to the image side surface of the third lens on the optical axis, and f is the effective focal length of the autofocus optical system.

4. The autofocus optical system according to claim 1, wherein: The autofocus optical system satisfies the following conditional formula: 0<h / f≤0.5; Wherein, h is the half image height of the auto-focus optical system, and f is the effective focal length of the auto-focus optical system.

5. The autofocus optical system according to claim 1, wherein: The object-side surface and the image-side surface of the third lens have the same curvature radius.

6. The autofocus optical system according to claim 1, wherein: The auto-focus optical system further includes an aperture stop, which is disposed between the focusing element and the first lens.

7. The autofocus optical system according to claim 1, wherein: The focusing element comprises a first liquid portion and a second liquid portion, wherein the first liquid portion and the second liquid portion have an interface, and the focusing element can change the shapes of the first liquid portion and the second liquid portion when powered on to change the shape of the interface; and / or, The effective focal length of the focusing element in the power-on state is 5.8 mm-6.4 mm.

8. The autofocus optical system according to claim 1, wherein: The maximum effective apertures of the first lens, the second lens and the third lens increase in sequence.

9. A camera module, characterized in that: It comprises a photosensitive element and the autofocus optical system as described in any one of claims 1 to 8.

10. An electronic device, characterized in that: Comprising the camera module as described in claim 9.

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