[ summary of the invention ]
The invention aims to provide an imaging optical lens, which solves the technical problem that the existing imaging optical lens has good optical performance and cannot meet the design requirements of large aperture, ultra-thinning and wide-angle.
The technical scheme of the invention is as follows:
provided is an imaging optical lens, comprising, in order from an object side to an image side: a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens; the first lens element with positive refractive power, the second lens element with positive refractive power, the third lens element with negative refractive power, the fourth lens element with positive refractive power, the fifth lens element with positive refractive power, and the sixth lens element with negative refractive power;
the focal length of the image pickup optical lens is f, the focal length of the first lens is f1, the focal length of the fourth lens is f4, the radius of curvature of the object-side surface of the fifth lens is R9, and the radius of curvature of the image-side surface of the fifth lens is R10, so that the following relations are satisfied:
3.00≤f1/f≤10.00;
2.00≤f4/f≤6.00;
(R9+R10)/(R9-R10)≤-2.00。
as an improvement, the radius of curvature of the object-side surface of the second lens is R3, and the radius of curvature of the image-side surface of the second lens is R4, which satisfy the following relation:
-2.00≤(R3+R4)/(R3-R4)≤-0.50。
as a refinement, the on-axis thickness of the second lens is d3, the on-axis distance from the image-side surface of the second lens to the object-side surface of the third lens is d4, and the following relation is satisfied:
3.50≤d3/d4≤10.00。
as a refinement, the focal length of the second lens is f2, and the following relation is satisfied:
0.50≤f2/f≤2.00。
as a refinement, the focal length of the third lens is f3, and the following relation is satisfied:
-3.50≤f3/f≤-1.00。
as an improvement, the total optical length of the image pickup optical lens is TTL, and the on-axis thickness of the second lens is d3, which satisfy the following relation:
0.05≤d3/TTL≤0.15。
as an improvement, the radius of curvature of the object-side surface of the third lens is R5, and the radius of curvature of the image-side surface of the third lens is R6, which satisfy the following relation:
1.5≤(R5+R6)/(R5-R6)≤5。
as an improvement, the radius of curvature of the object-side surface of the first lens is R1, and the radius of curvature of the image-side surface of the first lens is R2, which satisfy the following relation:
-40≤(R1+R2)/(R1-R2)≤0。
as an improvement, the image pickup optical lens further includes an aperture provided between the first lens and the second lens.
As an improvement, the aperture of the image pickup optical lens is FNO, the total optical length and the image height of the image pickup optical lens are TTL and IH, respectively, and the field angle of the image pickup optical lens is FOV, which satisfies the following relation:
FNO≤1.8;
TTL/IH≤1.68;
FOV≥76°。
the invention has the beneficial effects that: the imaging optical lens provided by the invention is beneficial to correcting the aberration of the imaging optical lens by setting the specific ratio between the focal length of the first lens and the focal length of the whole imaging optical lens, setting the specific ratio between the focal length of the fourth lens and the focal length of the whole imaging optical lens and the specific shape of the fifth lens, so that the imaging optical lens has good optical performance and simultaneously meets the design requirements of large aperture, ultra-thinning and wide angle.
[ detailed description ] embodiments
The invention is further described with reference to the following figures and embodiments.
In order to make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention will be described in detail below with reference to the accompanying drawings. However, it will be appreciated by those of ordinary skill in the art that numerous technical details are set forth in order to provide a better understanding of the present invention in its various embodiments. However, the technical solution claimed in the present invention can be implemented without these technical details and various changes and modifications based on the following embodiments.
The following is an embodiment one:
referring to fig. 1 to 4, an optical imaging lens 10 is provided. Fig. 1 shows an imaging optical lens 10 according to a first embodiment of the present invention, where the imaging optical lens 10 includes six lenses. Specifically, the imaging optical lens 10, in order from an object side to an image side, includes: the first lens L1, the second lens L2, the third lens L3, the fourth lens L4, the fifth lens L5, and the sixth lens L6 are arranged, in this embodiment, an optical element such as a glass flat plate GF is arranged between the sixth lens L6 and the image plane Si, wherein the glass flat plate GF may be a glass cover plate or an optical filter (filter), but in other embodiments, the glass flat plate GF may be arranged at another position.
In this embodiment, the first lens element L1 with positive refractive power has a convex object-side surface and a concave image-side surface; the second lens element L2 with positive refractive power has a convex object-side surface and a convex image-side surface; the third lens element L3 with negative refractive power has a convex object-side surface and a concave image-side surface; the fourth lens element L4 with positive refractive power has a concave object-side surface and a convex image-side surface; the fifth lens element L5 with positive refractive power has a convex object-side surface and a concave image-side surface; the sixth lens element L6 with negative refractive power has a convex object-side surface and a concave image-side surface and is disposed on the sixth lens element L6. Here, it is defined that the focal length of the imaging optical lens 10 is f, the focal length unit is millimeter (mm), the focal length of the first lens is f1, the focal length of the fourth lens is f4, the radius of curvature of the object-side surface of the fifth lens is R9, and the radius of curvature of the image-side surface of the fifth lens is R10. f. f1, f4, R9 and R10 satisfy the following relationships:
3.00≤f1/f≤10.00 (1)
2.00≤f4/f≤6.00 (2)
(R9+R10)/(R9-R10)≤-2.00 (3)
here, the conditional expression (1) specifies the ratio of the focal length of the first lens L1 to the total focal length of the image pickup optical lens 10. With such an arrangement, the optical performance of the image pickup optical lens 10 is improved, so that the image pickup optical lens 10 can obtain better image quality.
The conditional expression (2) specifies the ratio of the focal length of the fourth lens L4 to the total focal length of the image pickup optical lens 10. With such an arrangement, the focal length of the fourth lens L4 can be effectively distributed, which is beneficial to correcting the aberration of the optical system, and further improves the imaging quality of the photographing optical lens 10.
The conditional expression (3) specifies the shape of the fifth lens L5, and within the range specified by the conditional expression (3), the aberrations generated by the first lens L1, the second lens L2, the third lens L3, and the fourth lens L4 can be effectively corrected.
In the present embodiment, by setting a specific ratio between the focal length of the first lens L1 and the focal length of the entire image-taking optical lens 10, setting a specific ratio between the focal length of the fourth lens L4 and the focal length of the entire image-taking optical lens 10, and setting a specific shape of the fifth lens L5, it is helpful to correct aberrations of the image-taking optical lens 10, so that the image-taking optical lens 10 has good optical performance and satisfies design requirements of large aperture, ultra-thinning, and wide-angle.
As a modification, the radius of curvature of the object-side surface of the second lens L2 is R3, and the radius of curvature of the image-side surface of the second lens L2 is R4, where R3 and R4 satisfy the following relationship:
-2.00≤(R3+R4)/(R3-R4)≤-0.50 (4)
the conditional expression (4) defines the shape of the second lens L2, and contributes to improving the system performance of the imaging optical lens within a range that satisfies the conditional expression (4).
As a modification, the on-axis thickness of the second lens L2 is d3, the on-axis distance from the image-side surface of the second lens L2 to the object-side surface of the third lens L3 is d4, and d3 and d4 satisfy the following relationship:
3.50≤d3/d4≤10.00 (5)
the conditional expression (5) specifies the ratio of the on-axis thickness of the second lens L2 to the on-axis distance from the image-side surface of the second lens L2 to the object-side surface of the third lens L3. The processing of the second lens L2 and the assembly of the entire image pickup optical lens 10 are facilitated within the range specified by the conditional expression (5).
As a modification, the focal length of the second lens L2 is f2, and f2 satisfies the following condition:
0.50≤f2/f≤2.00 (6)
the conditional expression (6) specifies the ratio of the focal length of the second lens L2 to the total focal length of the image pickup optical lens 10. With such an arrangement, the focal length of the second lens L2 can be effectively distributed, which is beneficial to correcting the aberration of the optical system, and further improves the imaging quality of the photographing optical lens 10.
As a modification, the focal length of the third lens L3 is f3, and f3 satisfies the following condition:
-3.50≤f3/f≤-1.00 (7)
the conditional expression (7) specifies the ratio of the focal length of the third lens L3 to the total focal length of the image pickup optical lens 10. With such an arrangement, the focal length of the third lens L3 can be effectively distributed, which is beneficial to the correction of the field curvature of the optical system, and further improves the imaging quality of the shooting optical lens 10.
As a modification, the on-axis thickness of the second lens L2 is d3, the total optical length of the imaging optical lens 10 is TTL, and d3 and TTL satisfy the following conditions:
0.05≤d3/TTL≤0.15 (8)
the conditional expression (8) specifies the ratio of the on-axis thickness of the second lens L2 to the total optical length of the imaging optical system 10. The processing of the second lens L2 and the assembly of the entire image pickup optical lens 10 are facilitated within the range specified by the conditional expression (8).
As a modification, the radius of curvature of the object-side surface of the third lens L3 is R5, and the radius of curvature of the image-side surface of the third lens L3 is R5, where R5 and R6 satisfy the following relationship:
1.5≤(R5+R6)/(R5-R6)≤5 (9)
the conditional expression (9) defines the shape of the third lens L3, and within a range satisfying the conditional expression (9), contributes to the molding of the third lens and avoids molding defects caused by an excessively large curvature of the surface of the third lens.
As an improvement, the curvature radius of the object-side surface of the first lens L1 is R1, and the curvature radius of the image-side surface of the first lens L1 is R2, wherein R1 and R2 satisfy the following relationship:
-40≤(R1+R2)/(R1-R2)≤0 (10)
the conditional expression (10) defines the shape of the first lens L1, and is advantageous for correcting the spherical aberration of the system within a range that satisfies the conditional expression (10).
As a modification, a stop S1 is provided between the first lens L1 and the second lens L2.
In addition, in the imaging optical lens 10 provided by the present invention, the surface of each lens can be set to be an aspheric surface, which can be easily made into a shape other than a spherical surface, so as to obtain more control variables for reducing the aberration and further reducing the number of the lenses used, thereby effectively reducing the total length of the imaging optical lens of the present invention. In the embodiment of the invention, the object side surface and the image side surface of each lens are both aspheric surfaces.
It should be noted that, since the first lens L1, the second lens L2, the third lens L3, the fourth lens L4, the fifth lens L5 and the sixth lens L6 which constitute the image pickup optical lens 10 of the present embodiment have the structure and parameter relationship as described above, the image pickup optical lens 10 can reasonably distribute the focal power, the surface shape, the on-axis thickness of each lens, and the like, and thus correct various aberrations, and in the present invention: the aperture FNO of the optical imaging system of the shooting optical lens 10 is less than or equal to 1.8; the total optical length TTL of the imaging optical lens 10 and the image height IH of the imaging optical lens 10 satisfy the following relational expression: TTL/IH is less than or equal to 1.68; the field angle FOV of the imaging optical lens 10 satisfies the following relational expression: FOV is greater than or equal to 76 degrees. Therefore, the design requirements of large aperture, ultra-thin and wide-angle are met while good optical imaging performance is achieved.
Preferably, the object side surface and/or the image side surface of the lens may be further provided with an inflection point and/or a stagnation point to meet the requirement of high-quality imaging, and a specific implementation scheme is as follows.
Fig. 1 is a schematic structural diagram of an imaging optical lens 10 according to an embodiment. The following shows design data of the imaging optical lens 10 in the first embodiment of the present invention.
Table 1 shows object-side and image-side radii of curvature, on-axis thicknesses of the lenses, distances between the lenses, refractive indices, and abbe numbers of the first lens L1 to the sixth lens L6 constituting the imaging optical lens 10 according to the first embodiment of the present invention, where the radii of curvature are given by R plus a numeric suffix, the on-axis thicknesses of the lenses and the distances between the lenses are given by d plus a numeric suffix, and the refractive indices are given by nd, and the abbe numbers are given by vd, and the specific meanings of the numerals are given in the paragraphs following table 1. Table 2 shows the conic coefficient k and aspherical coefficient of the imaging optical lens 10. In the present embodiment, the unit of the distance, the radius, and the center thickness is millimeters (mm).
[ TABLE 1 ]
The meanings of the symbols in the above table are as follows.
R: the radius of curvature of the optical surface; s1: an aperture; r1: the object side of the first lens L1; r2: the image-side surface of the first lens L1; r3: the object side of the second lens L2; r4: the image-side surface of the second lens L2; r5: the object side of the third lens L3; r6: the image-side surface of the third lens L3; r7: the object-side surface of the fourth lens L4; r8: the image-side surface of the fourth lens L4; r9: the object-side surface of the fifth lens L5; r10: the image-side surface of the fifth lens L5; r11, object side of sixth lens L6; r12, the image side surface of the sixth lens L6; r13 object side of glass plate GF; r14 image side of glass plate GF;
d: on-axis thickness of a lens or on-axis distance between adjacent lenses; d0 on-axis distance from the stop S1 to the object-side surface of the first lens L1; d 1: the on-axis thickness of the first lens L1; d 2: the on-axis distance from the image-side surface of the first lens L1 to the object-side surface of the second lens L2; d 3: the on-axis thickness of the second lens L2; d 4: the on-axis distance from the image-side surface of the second lens L2 to the object-side surface of the third lens L3; d 5: the on-axis thickness of the third lens L3; d 6: the on-axis distance from the image-side surface of the third lens L3 to the object-side surface of the fourth lens L4; d 7: the on-axis thickness of the fourth lens L4; d 8: an on-axis distance from an image-side surface of the fourth lens L4 to an object-side surface of the fifth lens L5; d 9: the on-axis thickness of the fifth lens L5; d 10: an on-axis distance from an image-side surface of the fifth lens L5 to an object-side surface of the sixth lens L6; d 11: the on-axis thickness of the sixth lens L6; d 12: the on-axis distance from the image-side surface of the sixth lens L6 to the object-side surface of the optical filter GF; d 13: on-axis thickness of glass flat GF; d 14: the axial distance from the image side surface of the glass flat GF to the image surface Si;
nd: the refractive index of the d-line; nd 1: the refractive index of the first lens L1; nd 2: the refractive index of the second lens L2; nd 3: refractive index of the third lens L3; nd 4: refractive index of the fourth lens L4; nd 5: the refractive index of the fifth lens L5; nd 6: the refractive index of the sixth lens L6; ndg: refractive index of glass plate GF;
vd is Abbe number; v 1: abbe number of the first lens L1; v 2: abbe number of the second lens L2; v 3: abbe number of the third lens L3; v 4: abbe number of the fourth lens L4; v 5: abbe number of the fifth lens L5; v 6: abbe number of the sixth lens L6; vg: abbe number of glass sheet GF.
[ TABLE 2 ]
In table 2, k is a conic coefficient, and a4, a6, A8, a10, a12, a14 are aspherical coefficients.
In the present embodiment, the aspherical surface of each lens is preferably a non-curved surface described in the following conditional expression (11), but the specific form of the following conditional expression (11) is merely an example, and is not limited to the aspherical polynomial form expressed in the conditional expression (11).
Y=(x2/R)/{1+[1-(1+k)(x2/R2)]1/2}+A4x4+A6x6+A8x8+A10x10+A12x12+A14x14 (11)
Tables 3 and 4 show the inflection point and stagnation point design data of each lens in the imaging optical lens 10 according to the embodiment of the present invention. P1R1 and P1R2 represent the object-side surface and the image-side surface of the first lens L1, P2R1 and P2R2 represent the object-side surface and the image-side surface of the second lens L2, P3R1 and P3R2 represent the object-side surface and the image-side surface of the third lens L3, P4R1 and P4R2 represent the object-side surface and the image-side surface of the fourth lens L4, P5R1 and P5R2 represent the object-side surface and the image-side surface of the fifth lens L5, and P6R1 and P6R2 represent the object-side surface and the image-side surface of the sixth lens L6, respectively. The "inflection point position" field correspondence data is a vertical distance from an inflection point set on each lens surface to the optical axis of the image pickup optical lens 10. The "stagnation point position" field corresponding data is the vertical distance from the stagnation point set on each lens surface to the optical axis of the imaging optical lens 10.
[ TABLE 3 ]
|
Number of points of inflection
|
Position of reverse curvature 1
|
Position of reverse curvature 2
|
Position of reverse curvature 3
|
P1R1
|
1
|
0.885
|
|
|
P1R2
|
2
|
0.515
|
1.115
|
|
P3R1
|
1
|
0.425
|
|
|
P3R2
|
1
|
0.805
|
|
|
P4R2
|
1
|
1.255
|
|
|
P5R1
|
1
|
0.945
|
|
|
P5R2
|
3
|
1.055
|
2.265
|
2.425
|
P6R1
|
2
|
0.435
|
1.785
|
|
P6R2
|
2
|
0.645
|
2.835
|
|
[ TABLE 4 ]
|
Number of stagnation points
|
Location of stagnation 1
|
P1R2
|
1
|
1.045
|
P3R1
|
1
|
0.745
|
P5R1
|
1
|
1.495
|
P5R2
|
1
|
1.715
|
P6R1
|
1
|
0.845
|
P6R2
|
1
|
1.495 |
Table 17 below also lists values corresponding to various parameters in the first embodiment and the parameters specified in the conditional expressions.
Fig. 2 and 3 are schematic diagrams showing axial aberrations and chromatic aberration of magnification of light having wavelengths of 435nm, 486nm, 546nm, 587nm, and 656nm passing through the imaging optical lens 10 according to the first embodiment. Fig. 4 is a schematic view showing curvature of field and distortion of light having a wavelength of 546nm after passing through the imaging optical lens 10 according to the first embodiment. The field curvature S in fig. 4 is a field curvature in the sagittal direction, and T is a field curvature in the meridional direction.
In the present embodiment, the total focal length of the imaging optical lens 10 is F, the F value is FNO, and the wide angle size on the diagonal is FOV, where F is 4.10, FNO is 1.80, and FOV is 76.20 °, so that the imaging optical lens 10 has a large aperture, is ultra-thin, and has a wide angle, and has excellent imaging performance.
The following is embodiment two:
fig. 5 is a schematic structural diagram of the image pickup optical lens 20 in the second embodiment, which is basically the same as the first embodiment, and the meanings of symbols in the following list are also the same as those in the first embodiment, so that the description of the same parts is omitted here, and only different points are listed below.
Tables 5 and 6 show design data of the imaging optical lens 20 according to the second embodiment of the present invention.
[ TABLE 5 ]
[ TABLE 6 ]
Tables 7 and 8 show the inflection point and stagnation point design data of each lens in the imaging optical lens 20 according to the embodiment of the present invention.
[ TABLE 7 ]
[ TABLE 8 ]
|
Number of stagnation points
|
Location of stagnation 1
|
P3R1
|
1
|
0.845
|
P5R1
|
1
|
1.465
|
P5R2
|
1
|
1.745
|
P6R1
|
1
|
0.935
|
P6R2
|
1
|
1.515 |
Table 17 below also lists values corresponding to various parameters in embodiment two and the parameters specified in the conditional expressions.
Fig. 6 and 7 are schematic diagrams showing axial aberrations and chromatic aberration of magnification of light having wavelengths of 435nm, 486nm, 546nm, 587nm, and 656nm passing through the imaging optical lens 20 according to the first embodiment. Fig. 8 is a schematic view showing curvature of field and distortion of light having a wavelength of 546nm after passing through the imaging optical lens 10 according to the first embodiment. The field curvature S in fig. 8 is a field curvature in the sagittal direction, and T is a field curvature in the tangential direction.
In the present embodiment, the total focal length of the imaging optical lens 20 is F, the F value is FNO, and the wide angle size on the diagonal is FOV, where F is 4.10, FNO is 1.80, and FOV is 76.20 °, so that the imaging optical lens 20 has a large aperture, is ultra-thin, and has a wide angle, and has excellent imaging performance.
The following is the third embodiment:
fig. 9 is a schematic structural diagram of an imaging optical lens 30 in the third embodiment, which is basically the same as the first embodiment, and the meanings of symbols in the following list are also the same as those in the first embodiment, so that the description of the same parts is omitted here, and only different points are listed below.
Tables 9 and 10 show design data of the imaging optical lens 30 according to the third embodiment of the present invention.
[ TABLE 9 ]
[ TABLE 10 ]
Tables 11 and 12 show the inflection point and stagnation point design data of each lens in the imaging optical lens 30 according to the embodiment of the present invention.
[ TABLE 11 ]
|
Number of points of inflection
|
Position of reverse curvature 1
|
Position of reverse curvature 2
|
Position of reverse curvature 3
|
P1R1
|
1
|
0.905
|
|
|
P1R2
|
2
|
0.495
|
1.075
|
|
P3R1
|
1
|
0.415
|
|
|
P3R2
|
1
|
0.775
|
|
|
P4R1
|
1
|
0.195
|
|
|
P4R2
|
1
|
1.275
|
|
|
P5R1
|
2
|
0.875
|
1.975
|
|
P5R2
|
3
|
1.025
|
2.205
|
2.385
|
P6R1
|
2
|
0.415
|
1.775
|
|
P6R2
|
2
|
0.675
|
2.845
|
|
[ TABLE 12 ]
|
Number of stagnation points
|
Location of stagnation 1
|
P1R2
|
1
|
0.985
|
P3R1
|
1
|
0.725
|
P4R1
|
1
|
0.335
|
P5R1
|
1
|
1.385
|
P5R2
|
1
|
1.585
|
P6R1
|
1
|
0.755
|
P6R2
|
1
|
1.445 |
Table 17 below also lists values corresponding to various parameters in the third embodiment and the parameters specified in the conditional expressions.
Fig. 10 and 11 are schematic diagrams showing axial aberrations and chromatic aberration of magnification of light having wavelengths of 435nm, 486nm, 546nm, 587nm, and 656nm passing through the imaging optical lens 30 according to the first embodiment. Fig. 12 is a schematic view showing curvature of field and distortion of light having a wavelength of 546nm after passing through the imaging optical lens 30 according to the first embodiment. The field curvature S in fig. 12 is a field curvature in the sagittal direction, and T is a field curvature in the tangential direction.
In the present embodiment, the total focal length of the imaging optical lens 30 is F, the F value is FNO, and the wide angle size on the diagonal is FOV, where F is 4.10, FNO is 1.80, and FOV is 76.20 °, so that the imaging optical lens 30 has a large aperture, is ultra-thin, and has a wide angle, and has excellent imaging performance.
The following is embodiment four:
fig. 13 is a schematic structural diagram of an image pickup optical lens 40 in a fourth embodiment, which is basically the same as the first embodiment, and the meanings of symbols in the following list are also the same as those in the first embodiment, so that the same parts are not repeated herein, and only different points are listed below.
Tables 13 and 14 show design data of the imaging optical lens 40 according to the fourth embodiment of the present invention.
[ TABLE 13 ]
[ TABLE 14 ]
Tables 15 and 16 show the inflection point and stagnation point design data of each lens in the imaging optical lens 40 according to the embodiment of the present invention.
[ TABLE 15 ]
|
Number of points of inflection
|
Position of reverse curvature 1
|
Position of reverse curvature 2
|
Position of reverse curvature 3
|
P1R1
|
2
|
0.915
|
1.245
|
|
P1R2
|
2
|
0.505
|
1.085
|
|
P2R2
|
1
|
0.445
|
|
|
P3R1
|
1
|
0.395
|
|
|
P3R2
|
1
|
0.785
|
|
|
P4R2
|
1
|
1.175
|
|
|
P5R1
|
1
|
0.955
|
|
|
P5R2
|
3
|
1.045
|
2.275
|
2.405
|
P6R1
|
2
|
0.435
|
1.765
|
|
P6R2
|
2
|
0.645
|
2.795
|
|
[ TABLE 16 ]
Table 17 below also lists values corresponding to various parameters in the fourth embodiment and the parameters specified in the conditional expressions.
Fig. 14 and 15 are schematic diagrams showing axial aberrations and chromatic aberration of magnification of light having wavelengths of 435nm, 486nm, 546nm, 587nm, and 656nm passing through the imaging optical lens 40 according to the first embodiment. Fig. 16 is a schematic view showing curvature of field and distortion of light having a wavelength of 546nm after passing through the imaging optical lens 40 according to the first embodiment. The field curvature S in fig. 16 is a field curvature in the sagittal direction, and T is a field curvature in the tangential direction.
In the present embodiment, the total focal length of the imaging optical lens 40 is F, the F value is FNO, and the diagonal wide angle size is FOV, where F is 4.10, FNO is 1.80, and FOV is 76.20 °; thus, the image pickup optical lens 40 has a large aperture, is ultra-thin, has a wide angle, and has excellent imaging performance.
Table 17 below lists values corresponding to conditional expressions (1) to (10) in the first embodiment, the second embodiment, the third embodiment, and the fourth embodiment, and values of other relevant parameters, based on the conditional expressions.
[ TABLE 17 ]
The above are only embodiments of the present invention, and it should be noted that, for those skilled in the art, modifications can be made without departing from the inventive concept of the present invention, but these are all within the scope of the present invention.