CN205065607U - A LED collimation illumination optical lens for visual detection - Google Patents
A LED collimation illumination optical lens for visual detection Download PDFInfo
- Publication number
- CN205065607U CN205065607U CN201520334897.1U CN201520334897U CN205065607U CN 205065607 U CN205065607 U CN 205065607U CN 201520334897 U CN201520334897 U CN 201520334897U CN 205065607 U CN205065607 U CN 205065607U
- Authority
- CN
- China
- Prior art keywords
- form surface
- lens
- free form
- free
- led
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Landscapes
- Lenses (AREA)
Abstract
The utility model discloses a LED collimation illumination optical lens for visual detection, including incident surface and emitting face, its characterized in that lens include three free -form surface, the bottom surface center of lens has one to supply LED to install the cavity in it, and partly chamber wall of cavity is the cylinder, constitutes inboard cylinder, and another part is free -form surface, constitutes inboard free -form surface, inboard free -form surface is located the top of inboard cylinder, and both constitute the incident surface, the lateral surface of lens is free -form surface, constitutes outside free -form surface, and the top surface middle part of lens is free -form surface, constitutes top free -form surface, and top free -form surface's the outside is the stepped ramp type plane, constitutes the top plane, and the top free -form surface and the top plane of lens constitute the emitting face. The utility model has the advantages of high optics efficiency, compact structure, small in size, can a LED collimation illumination optical lens for visual detection, can form high accurate straightness's circular facula on the target illumination face.
Description
Technical field
The utility model relates to field of LED illumination, is specifically related to a kind of LED collimation illuminating optical lens for vision-based detection.
Background technology
In vision detection system, lighting source is its important component part.The quality of illuminating effect directly affects the image quality of measured object, thus affects follow-up image processing effect, causes last measurement result inaccurate.In precision detecting system, the illuminating effect of light source has very important effect especially.Light intensity, the stability and illumination uniformity etc. of light source all can have a huge impact the precision of detection system, directly determine the success or failure of whole detection.
The lighting source being usually used in vision detection system has incandescent lamp, fluorescent lamp, mercury vapor lamp, sodium lamp, LED light emitting diode, semiconductor laser etc.The selection of lighting source must meet required geometry, brightness of illumination, the uniformity, and the requirement that luminous spectral characteristic also must be realistic, also will consider luminous efficiency and the service life of light source simultaneously.Conventional light source volume and energy consumption are all comparatively large, and do not have excellent monochromaticjty and stability.Although semiconductor laser has good monochromaticjty and collimation, illumination uniformity is difficult to control.In the middle of numerous light sources, LED light source relies on its many advantage, as long in the life-span, response is fast, shock resistance is strong etc., is more and more applied in modern visual detection system.But, due to lambert's LED type characteristics of luminescence, directly apply to illuminator, usually can not obtain good effect, optical design need be carried out for LED and vision detection system characteristic.
Utility model content
For the subject matter faced in vision-based detection illumination system layout and the design of lambert's type LED light, the utility model provides a kind of LED collimation illuminating optical lens for vision-based detection, this optics of lens efficiency is high, volume is little, easily manufactured, be easy to install, and the illumination spot of high collimation can be produced.The utility model adopts the LED free-form surface lens design method of axisymmetry, the error produced when effectively reducing lens modeling, is conducive to the machining accuracy and the optical efficiency that improve lens.
The utility model adopts following technical scheme:
For a LED collimation illuminating optical lens for vision-based detection, these lens are made up of transparent material, and transparent material is PMMA or PC or optical glass, and lens comprise three free form surfaces, form the plane of incidence and exit facet respectively.The bottom center of described lens has one to install cavity in the inner for LED, a part of chamber wall of cavity is cylinder, inner side cylinder described in formation, another part is free form surface, inner side free form surface described in formation, inner side free form surface is positioned at the top of inner side cylinder, and both form the described plane of incidence; The lateral surface of lens is free form surfaces, outside free form surface described in formation, free form surface in the middle part of the end face of lens, top free form surface described in formation, the outside of top free form surface is stepped ramp type plane, top planes described in formation, the exit facet described in the top free form surface of lens and top planes are formed.
The shape of free-form surface lens is determined by the following method:
Be that initial point sets up coordinate system with LED light source, with place, LED bottom surface plane for XOY plane, cross initial point the axle vertical with plane X OY is Z axis.First LED light source solid angle is divided, then the angle of emergence after rays pass through lens is evenly divided, set up the mapping relations of the angle of emergence after light source solid angle and rays pass through lens, then use catadioptric law, obtain last free-form surface lens by geometrical relationship.
The free form surface of described formation lens has three, and its calculation procedure is as follows:
2. set primary condition and LED light source solid angle is divided.
First, in coordinate system, θ is the angle of incident ray and Z axis positive direction.α is the angle of emergent ray and Z axis positive direction.The bottom radius of inner side cylinder is r.The refractive index of lens material is n.
For the inner side free form surface of lens cavity, its Main Function is the shooting angle controlling light.Here arranging its angular configurations scope controlled is [0, β
max], and 0≤β
max≤ θ
mid, θ
midrepresent the light sent from light source, incide the maximum incident angle of inner side free form surface, β
maxrepresent from light through the maximum angle of emergence after the free form surface of inner side.By interval [0, β
max] be evenly divided into N part, be designated as β (i), 1≤i≤N.For incident angle θ, discretization is carried out to it, by interval [0, θ
mid] be divided into N part, be designated as θ (i), so just obtain the array with shooting angle β (i) array θ (i) one to one.The size of N value determines the accuracy of calculating, and its value is larger, and last result is more accurate.
For the inner side cylinder of lens cavity, its angular configurations scope controlled is θ here
mid< θ (i)≤θ
max.Usual θ
max=90 °, represent the maximum outgoing half-angle emitted beam from LED.In like manner, by interval (θ
mid, θ
max] be divided into N part, be designated as θ (i), so just light source solid angle θ be divided into 2N part.
2. set up the mapping relations of the angle of emergence after light source solid angle and rays pass through lens.
Discretization is carried out to the angle of emergence after rays pass through lens.Corresponding to the division of light source solid angle θ, α is also divided into 2N part, is designated as α (i), and 0≤α (i)≤α
max, α
maxrepresent that light is by the maximum angle of emergence after whole lens.Because described lens are for collimated illumination, thus in this illuminator α
max=0, α (i)=0 (being namely α (i) is set to a full remainder group).So just set up one-to-one relationship at light by the angle of emergence α (i) after whole lens and between light source solid angle θ (i) array.
3. solve the discrete coordinates of free-form surface lens.
Suppose that the angle of light and the Z axis gone out from LED is θ (i), and intersect at A with inner side free form surface
i(x
1(i), z
1(i)) point, after the refraction of inner side free form surface, intersect at B with top free form surface
i(x
2(i), z
2(i)) point; Light and inner side cylinder intersect at C
i(r, rcot θ (i+1)) point, light through after the cylinder of inner side with lens outside free form surface intersect at D
i(x
3(i), z
3(i)) point, A
ithe unit normal vector at some place
b
ithe unit normal vector at some place
d
ithe unit normal vector at some place
When carrying out free form surface and building, being obtained the normal vector that free form surface is put by catadioptric law, utilize this normal vector to try to achieve section, obtaining the coordinate that curve is put by asking the intersection point in section and incident ray.Catadioptric law formula is as follows:
Wherein n is the index of refraction in lens, its value depending on lens material,
for incident ray unit vector,
for emergent ray unit vector,
for unit normal vector.
For inner side free form surface, incident vector can be obtained by light source solid angle θ (i), in the hope of outgoing vector, can solve inner side free form surface coordinate value more up and down in conjunction with catadioptric law by β (i):
And
By that analogy, institute's coordinate value a little on the contour curve that can obtain inner side free form surface, inside can obtaining thus, the bottom radius of cylinder is r=x
1(200).
For top free form surface, incident vector can be obtained by β (i), in the hope of outgoing vector, above formula and catadioptric law simultaneous, can solve top free form surface coordinate value more up and down by α (i):
And
For outside free form surface, because light and inner side cylinder intersect at C
i(r, rcot θ (i+1)) point, by the angle of emergence of light after the cylinder of inner side is
then
When light is to outside free form surface, this face is totally reflected, and now catadioptric law can be expressed as:
After the reflection of outside free form surface, light transmition is to the also directly outgoing of lensed tip plane, therefore α (i) is the angle of emergence after the reflection of outside free form surface.
By
with α (i) and catadioptric law simultaneous, outside free form surface coordinate value more up and down can be solved:
And
The value of a, b, c, d, e, f can be drawn by catadioptric law.
Concrete grammar is as follows:
(1) starting point of inner side, top, outside free form surface is determined respectively.
(2) for inner side free form surface, can obtain incident vector sum outgoing vector by θ and β, by catadioptric law, determine the section of starting point, Article 2 incident ray is crossing with this section thus determine second point.
(3) for top free form surface, using the incidence vector of the outgoing of the Article 2 light of inner side free form surface vector as the Article 2 light of top free form surface, namely incident vector is obtained by β, outgoing vector is obtained again by α, then utilize catadioptric law to obtain the section of starting point, can second point be drawn by the straight line intersection at the section of starting point and the incidence vector place of Article 2 light.
(4) for outside free form surface, by
the incident vector sum outgoing vector of light through outside free form surface can be obtained respectively with α.Utilize catadioptric law to obtain the section of starting point, section and the straight line intersection at the incidence vector place of the Article 2 light after the Cylinder Refraction of inner side can be drawn second point.
(5) in like manner, next point coordinates can be drawn by the straight line intersection at the incidence vector place of more front section and next light, inner side can be drawn respectively by machine iteration, the coordinate that top, outside free form surface are all put, determine lens contour curve thus, then lens contour curve is rotated around central shaft and form whole free form surface.
4. utilize modeling software that the point obtained is fitted to entity.
The coordinate of the discrete point obtained is imported to mechanical modeling software successively, carries out matching, then the contour curve obtained is rotated around central shaft, final optical lens physical model can be obtained.
Adopt after technique scheme, a high optical efficiency, compact conformation, compact, LED collimation illuminating optical lens for vision-based detection can be designed.After passing through free-form surface lens from the light of LED outgoing, the circular light spot of high collimation can be formed on target illumination face.
The beneficial effects of the utility model and advantage: owing to adopting free-form surface lens, from the light of LED outgoing after light distribution of freeform lens, the circular light spot of high collimation can be formed on target illumination face; And almost can all be utilized from the light that light source sends, the optical efficiency of lens is very high.In addition, the cavity be made up of free form surface and cylinder by the middle part of the bottom surface of lens, makes LED light source be easy to install.Because the volume of lens is little, make it can be installed to easily in vision-based detection illuminator, be also conducive to the heat dissipation design of illuminator simultaneously.The utility model is very beneficial for the optical design of lambert type LED and the design of vision-based detection illuminator.The utility model not only can be applied to LED secondary optical design, and may be used for LED primary optical design and imaging system optical design.
Accompanying drawing explanation
Fig. 1 is the mapping relations figure of the angle of emergence that in embodiment, light source solid angle and inner side free form surface control.
Fig. 2 is the mapping relations figure of the angle of emergence of light source solid angle and lens in embodiment.
Fig. 3 is the side cutaway view of lens in embodiment.
Fig. 4 is the side-looking 3 dimensional drawing of lens in embodiment.
Fig. 5 be in embodiment lens look up 3 dimensional drawing.
Fig. 6 is that 3 dimensional drawing is looked on the right side of lens in embodiment.
Fig. 7 be in embodiment lens overlook 3 dimensional drawing.
Detailed description of the invention
Be described in detail of the present utility model below in conjunction with drawings and Examples, but enforcement of the present utility model and protection are not limited thereto.
1, set primary condition and LED light source solid angle is divided.
First, in coordinate system, θ is the angle of incident ray and Z axis positive direction, and its span is
α is the angle of emergent ray and Z axis positive direction.Because described lens are for collimated illumination, therefore α=0 here.The refractive index of lens material is n=1.49386.
For the free form surface inside lens cavity, its Main Function is the shooting angle controlling light.Here arranging its angular configurations scope controlled is [0, β
max], and
by interval [0, β
max] be evenly divided into 200 parts, be designated as β (i), and 0 < i≤200, the number of 200 expression deciles, its value is larger, and last result is more accurate.For incident angle θ, its span is 0≤θ (i)≤θ here
mid, and
represent the light that sends from the light source maximum incident angle to inner side free form surface.Discretization is carried out to θ, interval [0, θ
mid] be divided into 200 parts, be designated as θ (i), so just obtain the array with shooting angle β (i) array θ (i) one to one, as shown in Figure 1.
For the inner side cylinder of lens cavity, its angular configurations scope controlled is θ here
mid≤ θ (i)≤θ
max.Usually
represent the maximum outgoing half-angle emitted beam from LED.By interval
be divided into 200 parts, be designated as θ (i), so just light source solid angle θ is divided into 400 parts.
2. set up the mapping relations of the angle of emergence after light source solid angle and rays pass through lens.
Discretization is carried out to the angle of emergence after rays pass through lens.Corresponding to the division of light source solid angle θ, α is also divided into 400 parts, is designated as α (i).Due to α=0, therefore α (i)=0.So just set up one-to-one relationship at light by the angle of emergence α (i) after whole lens and between light source solid angle θ (i) array, as shown in Figure 2.
3. calculate the discrete coordinates of free-form surface lens.
Suppose that from the angle of LED emergent ray and z-axis be θ (i), and intersect at A with inner side free form surface
i(x
1(i), z
1(i)) point, after the refraction of inner side free form surface, intersect at B with top free form surface
i(x
2(i), z
2(i)) point; Light and inner side cylinder intersect at C
i(r, rcot θ (i+1)) point, light through after the cylinder of inner side with lens outside free form surface intersect at D
i(x
3(i), z
3(i)) point, A
ithe unit normal vector at some place
b
ithe unit normal vector at some place
d
ithe unit normal vector at some place
When carrying out free form surface and building, being obtained the normal vector that free form surface is put by catadioptric law, utilize this normal vector to try to achieve section, obtaining the coordinate that curve is put by asking the intersection point in section and incident ray.Catadioptric law formula is as follows:
Here n=1.49386,
for incident ray unit vector,
for emergent ray unit vector,
for unit normal vector.
For inner side free form surface, incident vector can be obtained by light source solid angle θ (i), in the hope of outgoing vector, can solve inner side free form surface coordinate value more up and down in conjunction with catadioptric law by β (i):
And
By that analogy, institute's coordinate value a little on the contour curve that can obtain inner side free form surface, inside can obtaining thus, the bottom radius of cylinder is r=x
1(200) mm.
For top free form surface, incident vector can be obtained by β (i), in the hope of outgoing vector, above formula and catadioptric law simultaneous, can solve top free form surface coordinate value more up and down by α (i):
And
For outside free form surface, because light and inner side cylinder intersect at C
i(r, rcot θ (i+1)) point, by the angle of emergence of light after the cylinder of inner side is
then
When light is to outside free form surface, this face is totally reflected, and now catadioptric law can be expressed as:
After the reflection of outside free form surface, light transmition is to the also directly outgoing of lensed tip plane, therefore α (i) is the angle of emergence after the reflection of outside free form surface.
By
with α (i) and catadioptric law simultaneous, outside free form surface coordinate value more up and down can be solved:
And
The value of a, b, c, d, e, f can be drawn by catadioptric law.
Concrete grammar is as follows:
(1) determine the starting point of inner side, top, outside free form surface respectively, its value is respectively (0,4), (0,8), (4.74,0), unit mm.
(2) for inner side free form surface, can obtain incident vector sum outgoing vector by θ and β, by catadioptric law, determine the section of starting point, Article 2 incident ray is crossing with this section thus determine second point.
(3) for top free form surface, using the incidence vector of the Article 2 beam projecting of inner side free form surface vector as the Article 2 light of top free form surface, namely incident vector is obtained by β, outgoing vector is obtained again by α, then utilize catadioptric law to obtain the section of starting point, can second point be drawn by the straight line intersection at the section of starting point and the incidence vector place of Article 2 light.
(4) for outside free form surface, by
the incident vector sum outgoing vector of light through outside free form surface can be obtained respectively with γ.Utilize catadioptric law to obtain the section of starting point, section and the straight line intersection at the incidence vector place of the Article 2 light after the Cylinder Refraction of inner side can be drawn second point.
(5) in like manner, next point coordinates can be drawn by the straight line intersection at the incidence vector place of more front section and next light, inner side can be drawn respectively by computer iterations, the coordinate that top, outside free form surface are all put, determine lens contour curve thus, then lens contour curve is rotated around central shaft and form whole free form surface.
Example: for inner side free form surface, arranging its angular configurations scope controlled here is [0, β
max], and
β
maxit is evenly divided into 200 parts, and every portion is designated as β (i), carries out discretization to the solid angle of light source simultaneously, and the span of θ is 0≤θ≤θ here
mid, and
table is θ
midbe divided into 200 parts, every portion is designated as θ (i), makes it and β (i) array one_to_one corresponding.If the starting point of inner side free form surface is (0,4), namely LED is apart from the distance 4mm at free form surface top inside lens.By catadioptric law by the normal vector can obtaining starting point
can obtain tangent equation by normal vector and starting point coordinate is z+4=0, and this is 1 formula; Angle is the linear equation of θ (2): z=cot (θ (2)) x, and this is 2 formulas; By 1,2 formula simultaneous, can obtain x (2), z (2).
By that analogy: the linear equation corresponding to kth point is z=cot (θ (k)) x, and corresponding tangent equation is N
x(k-1) (x-x (k-1))+N
z(k-1) (z-z (k-1))=0.Kth point coordinates can be obtained by straight line is crossing with section, as k=200, namely obtain the coordinate array of all data points on the Free-Form Surface Profile curve of inner side.
4. utilize modeling software that the point obtained is fitted to entity
The coordinate of the discrete point obtained is imported to mechanical modeling software successively, carries out matching, then the curve obtained is rotated around central shaft, final optical lens with free curved surface physical model can be obtained.
Fig. 1 is the mapping relations figure of the angle of emergence that in embodiment, light source solid angle and inner side free form surface control, and wherein 101 is described light source solid angle, and 102 is the angle of emergence that described inner side free form surface controls.
Fig. 2 is the mapping relations figure of the angle of emergence of light source solid angle and lens in embodiment, comprising light source solid angle 101, and the angle of emergence 102 that inner side free form surface controls, the angle of emergence 201 of lens, the angle of emergence 202 after the Cylinder Refraction of inner side.
Fig. 3 is the side cutaway view of the lens obtained by such scheme, comprising the inner side free form surface 301 of lens, and top free form surface 302, stepped ramp type top planes 303; The outside free form surface 304 of lens, the inner side cylinder 305 of lens.Fig. 4 is the side-looking 3 dimensional drawing of the lens obtained by such scheme.Fig. 5 be the lens obtained by such scheme look up 3 dimensional drawing.Fig. 6 is that 3 dimensional drawing is looked on the right side of the lens obtained by such scheme.Fig. 7 be the lens obtained by such scheme overlook 3 dimensional drawing.
Adopt after technique scheme, a high optical efficiency, compact conformation, compact, LED collimation illuminating optical lens for vision-based detection can be designed.After passing through free-form surface lens from the light of LED outgoing, the circular light spot of high collimation can be formed on target illumination face.Owing to adopting free-form surface lens, from the light of LED outgoing after light distribution of freeform lens, the circular light spot of high collimation can be formed on target illumination face; And almost can all be utilized from the light that light source sends, the optical efficiency of lens is very high.In addition, the cavity be made up of free form surface and cylinder by the middle part of the bottom surface of lens, makes LED light source be easy to install.Because the volume of lens is little, make it can be installed to easily in vision-based detection illuminator, be also conducive to the heat dissipation design of illuminator simultaneously.
Claims (1)
1. for a LED collimation illuminating optical lens for vision-based detection, comprise the plane of incidence and exit facet, it is characterized in that lens comprise three free form surfaces; The bottom center of described lens has one to install cavity in the inner for LED, and a part of chamber wall of cavity is cylinder, and form inner side cylinder, another part is free form surface, forms inner side free form surface; Inner side free form surface is positioned at the top of inner side cylinder, and both form the described plane of incidence; The lateral surface of lens is free form surfaces, and forming outside free form surface, is free form surface in the middle part of the end face of lens, form top free form surface, the outside of top free form surface is stepped ramp type plane, forms top planes, the exit facet described in the top free form surface of lens and top planes are formed.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201520334897.1U CN205065607U (en) | 2015-05-18 | 2015-05-18 | A LED collimation illumination optical lens for visual detection |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201520334897.1U CN205065607U (en) | 2015-05-18 | 2015-05-18 | A LED collimation illumination optical lens for visual detection |
Publications (1)
Publication Number | Publication Date |
---|---|
CN205065607U true CN205065607U (en) | 2016-03-02 |
Family
ID=55392159
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201520334897.1U Expired - Fee Related CN205065607U (en) | 2015-05-18 | 2015-05-18 | A LED collimation illumination optical lens for visual detection |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN205065607U (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104896424A (en) * | 2015-05-18 | 2015-09-09 | 华南理工大学 | LED collimating illumination optical lens for visual inspection |
-
2015
- 2015-05-18 CN CN201520334897.1U patent/CN205065607U/en not_active Expired - Fee Related
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104896424A (en) * | 2015-05-18 | 2015-09-09 | 华南理工大学 | LED collimating illumination optical lens for visual inspection |
CN104896424B (en) * | 2015-05-18 | 2018-01-16 | 华南理工大学 | A kind of LED collimation illuminating optical lens for vision-based detection |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN104896424A (en) | LED collimating illumination optical lens for visual inspection | |
TWI432790B (en) | The collimating lens structure with free - form surface and its design method | |
CN104896425B (en) | A kind of LED free-form surface lens for light microscope illuminator | |
CN204372817U (en) | A kind of two optical lens with free curved surface of ultra-thin direct-light type LED backlight system | |
US8310685B2 (en) | Parameterized optical system and method | |
CN111023042B (en) | LED collimation optical lens | |
CN104566217A (en) | Two-free-curved-surface optical lens used for ultrathin direct-lit type LED backlight system | |
CN105351885B (en) | A kind of optical lens design method of automobile LED front fog lamp | |
CN102353017B (en) | LED (Light-Emitting Diode) optical lens for automobile dipped headlight | |
CN203848200U (en) | Lens and lens system | |
CN110543014B (en) | Design method of double free-form surface lens for LED (light-emitting diode) area light source short-distance illumination | |
CN103062706A (en) | Light emitting diode (LED) lens module with light-emitting uniform surface | |
CN103912844B (en) | The optical system that LED uniformly collimates | |
CN105371235B (en) | A kind of method for designing of the free-form surface mirror of LED automobile Rear Fog Lamp | |
CN205065607U (en) | A LED collimation illumination optical lens for visual detection | |
CN103017086B (en) | Design method of LED (Light Emitting Diode) collimating lens | |
KR20130077499A (en) | Free-form lens with the effect of overlapping illumination patterns formed by different surfaces of the lens in order to improve the manufacturing tolerance of a led luminaire | |
CN205332091U (en) | Free -form surface speculum that fog lamp was used behind LED car | |
CN101533112A (en) | Optical lens with free curved surface | |
CN103912845A (en) | Large-field-angle LED (light emitting diode) illuminating lens | |
CN205065606U (en) | A LED free -form surface lens for optical microscope lighting system | |
WO2018149011A1 (en) | Collimating and coupling system used for optical fibre lightening | |
CN102313241A (en) | Optical element for illuminating device and design method thereof | |
CN108506743A (en) | A kind of free form surface Fresnel lighting system of high degree of focus | |
CN111306506B (en) | High-brightness laser car lamp optical system based on Fresnel lens shaping and design method |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
C14 | Grant of patent or utility model | ||
GR01 | Patent grant | ||
CF01 | Termination of patent right due to non-payment of annual fee | ||
CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20160302 Termination date: 20180518 |