[0001] This invention relates to automotive headlights, and more particularly, to a headlight
in which the reflector is contoured to meet the required light specifications and
the lens is replaced with a clear cover plate which can be placed at any angle which
is aerodynamically desirable.
[0002] Sealed beam automotive headlights include a paraboloidal reflector which collects
light from an incandescent filament bulb and directs it towards a lens. The lens has
flutes which shift and spread the light into a beam pattern which meets the specifications
set by the Society of Automotive Engineers. Because the standard lens is the optically
active element having fluting with flute risers and edges, its positioning with respect
to the bulb and reflector is critical. Desirably the position of the lens should be
nearly normal to the light emanating from the bulb and reflector, since riser glare
becomes worse when the lens is slanted at an angle thereto. That is, the lens fluting
produces uncontrolled light, known as glare, from the flute risers and edges. In many
instances, it would be desirable to have a headlight with a slanted front surface
which would give superior aerodynamic performance. However, as noted above, with the
optics in the lens and the resulting glare, it is not practical to provide such a
slanted front surface which also would be desirable for reasons of style. It is the
elimination of this type of glare while retaining the benefits of slanted lenses which
is an object of this invention.
[0003] U.S. Patents 153,341-Jacobsen and 1,346,268-Goodley show early attempts to produce
lamps with the optics in the reflectors. U.S. Patents 3,511,983-Dorman and 4,149,277-Dorman,
show more recent attempts to provide a lamp in which the reflector produces a desired
light pattern. These reflectors are not suitable for meeting the more stringent automotive
specifications.
[0004] "Computer Design of Automotive Lamps With Faceted Reflectors", Donohue and Joseph,
J. of I.E.S./1972, pp. 36-42 described an automotive lamp in which the reflector is
divided into segments (facets) in such a manner that the reflector alone produces
the pattern and lens fluting is eliminated. The many facets, as shown in Fig. 12 of
that article, have sharp edges and discontinuities between them. Since each facet
is a paraboloidal surface, the intersections, or junctions, between the surfaces necessarily
are not smooth. Because of this, the fabrication of such a reflector is quite difficult.
These reflectors may be formed from any suitable material such as glass, plastic or
metal.It is quite difficult to form the surfaces having the discontinuous junctions
shown in Fig. 12 of that article.
[0005] It is an object of the present invention to provide an automotive headlight reflector
which directs light in a pattern which meets automotive specifications and which has
smooth, continuously joined surfaces which facilitate fabrication of the headlight.
[0006] In accordance with this invention, there is provided in a lighting unit, a reflector
having at least one reflective surface which directs light from a light source in
a desired pattern, said surface being smooth and continuous.
[0007] Preferably, a sealed beam headlight has reflector surfaces which direct light from
the bulb through a clear, unfluted front cover in a pattern which meets the specification
for automotive headlights. The reflective surface is smooth and continuous which makes
the reflector easy to fabricate and eliminates undesirable reflector flute glare.
Since there are no flutes, the cover may be aerodynamically swept, yielding both styling
and performance advantages upon which manu- factuers now place a premium.
[0008] The headlight is produced by a process comprising the steps of:
(a) digitizing said prescribed light pattern as an input to a digital computer;
(b) digitizing the parameters of a plurality of shape functions specifying the surface
of said reflector as an input to said digital computer;
(c) tracing the path of a plurality of light rays emanating from a digitally modeled
light source, intersecting said reflector and projecting onto a surface spaced apart
from said reflector;
(d) determining the light intensity across said surface;
(e) comparing said light intensity to said prescribed light pattern;
(f) changing said parameters of said shape functions;
(g) repeating steps (c)-(f) to determine the shape function which produces a light
intensity best matching said prescribed light pattern; and
(h) fabricating reflectors having said last named shape function.
[0009] Thus the digitally modeled reflective surface is modified in an interative procedure
to produce a light intensity pattern which best meets automotive specifications and
wherein the reflective surface is smooth and continuous. A digitally modeled light
source which closely approximates the light intensity from a tungsten halogen lamp
is used. In the prior art, a plurality of parabolic reflectors made up the headlight.
The prior art design processes merely determined where the light from each parabolic
facet was directed and accordingly changed this direction to obtain the desired light
pattern. In contrast, the present invention traces a very large number of ray paths,
e.g. 500,000, from an accurately modeled distributed light source to the reflective
surface. The ray paths are projected, from the normal to the reflective surface, onto
a surface such as a sphere surrounding the reflector. Light intensity across a portion
of the spherical surface . is determined by counting the number of light rays intersecting
each unit area. The intensity thus determined can be digitally compared to the S.A.E.
specifications and a performance function, indicating the match with the specification,
is generated. This shape of the digitally modeled reflective surface is changed in
an interative procedure to optimize the performance function. At each change in the
shape, the junctions between the surfaces are blended, or smoothed, so that there
are no sharpe edges, or discontinuities which makes fabrication difficult.
[0010] The foregoing and other objects, features and advantages of the invention will be
better understood from the following more detailed description and accompanying drawings,
wherein:
Fig. 1 is a perspective view of a reflector according to the invention attached to
a clear cover plate;
Fig. 2 is a perspective view of the reflector;
Figs. 2A - 2C are front, top sectional and side sectional views respectively of the
reflector in accordance with the present invention;
Fig. 3 is a flow chart depicting the computer aided process for producing the headlamp;
Fig. 4 depicts a prior art reflector;
Fig. 5 depicts the digital computer generated model of the light source and reflecting
surfaces;
Fig. 6 is similar to Fig. 5 and additionally shows the intersection of the light rays
with a surface of the sphere;
Fig. 7 is a candela diagram of a low beam pattern produced by a reflector in accordance
with the present invention; and
Fig. 8 is a candela diagram of a high beam pattern produced by a reflector in accordance
with the present invention.
[0011] Referring to Fig. 1, the automotive headlight of this invention includes a bulb 11
having a filament to provide a light source and a clear front cover 12 which may be
swept at an aerodynamically desired angle with respect to the headlight. As used herein,
this means that the front cover is swept at an angle of at least 15° and preferably
on the order of 45° to 50
* as depicted in Fig. 1.
[0012] A reflector 13 encloses the bulb and is sealingly attached to the front cover 12.
The reflector has a reflective surface which directs light from the bulb 11 through
the front cover in a pattern which meets the specifications for automotive headlights.
[0013] As shown in Figs. 2, and 2A-2C the reflector has reflective surfaces which include
a center modified ellipsoid 14 and two edge modified ellipsoids 15 and 16. Edge ellipsoid
15 joins center ellipsoid 14 in a smooth, continuous junction 17; similarly, edge
ellipsoid 16 joins center ellipsoid 14 in a smooth continuous junction 18.
[0014] The center surface 14 is an ellipsoid with a smooth vertical bump 21 added to the
center. Ellipsoidal surface 14 is concave and is tilted off the axis of the headlight.
Ellipsoids 14, 15 and 16 are concave and are modified from true parabolic surfaces
in a manner which produces a prescribed light pattern, and which produces smooth,
continuous junctions between the surfaces. A center platform 22 which may have sharp
edges provides for attachment and alignment of the lamp, but it is not part of the
reflecting surface. In accordance with the present invention, such sharp edges are
avoided over substantially all of the reflective surface.
[0015] Fig. 3 depicts the computer aided process by which this type of reflector was produced.
Before describing it, it is useful to refer to Fig. 4 which depicts a prior art reflector
in a manner which shows the advantages of the present invention. Fig. 4 depicts a
prior art attempt, known to the inventors, of reducing the depth of the reflector
by using a plurality of parabolic surfaces instead of a single parabolic surface.
Note that the inersections 23 and 24 between the parabolic surfaces present sharp
edges which are not modeled and are difficult to fabricate. Furthermore, the portions
of the reflector between 23 and 25 and between 24 and 26 are shadowed. They do not
contribute to light reflection. The reflector of Fig. 4 does not have a normal vector
at the junctions 23 and 24. Stated another way, the minimum radius of curvature is
very small at 23 and 24. The surface slope is discontinuous, that is the minimum radius
of curvature is arbitrarily small. As used herein, smooth and continuous junctions
means that the conditions depicted at 23 and 24 in Fig. 4 are not present, that the
normal is always well defined.
[0016] If, as in the reflector of Fig. 2, the shape involves separate reflector surfaces,
junctions between surfaces are treated as any other reflecting -area. Resulting intensity
calculations include effects of the smooth junctions, so that the junctions are made
large enough to facilitate the glass forming process. Where the minimum radius of
curvature is less than about 0.002 mm there are increasing problems in forming glass
to a sharp edge. The preferred embodiment of this invention has a minimum radius of
curvature of 0.0076 mm, but the invention can be practiced with surfaces having smooth
junctions with a minimum radius of curvature greater than about 0.002mm.
[0017] The prior art ignores reflections from the junction. These lamps have discontinuous
reflective surfaces (such as the Donohue et al paper and Fig. 4 herein) or slope discontinuities
at surface intersections (the Dorman patents).
[0018] Since the prior art does not deal with junctions, the junctions in an actual product
must be kept as sharp as possible, i.e., the radius of curvature must be arbitrarily
small. The reflector of the present invention has no such problem, since the shape
is chosen to have a large minimum radius of curvature at the junctions.
[0019] Referring again to Fig. 3, the computer aided process of'this invention includes
digitizing the prescribed light pattern as an input to the digital computer, the step
being indicated at 27. In the example being described, the SAE specifications are
those set forth in Table I - Test Point Values for 7 in. (178 millimeter) Type 2 Seal
Beam Unites, listed in S.A.E. J . 5 79C, page 23.31 of Report of Lighting Division
Approved, January 1940, and last revised by Lighting Committee, December 1974.
[0020] As indicated at 28, the parameters of a plurality of shape functions specifying the
surface of a reflector are digitized and provided as an input to the digital computer.
In the example under consideration, the shape functions are a center modified ellipsoid
and two edge modified ellipsoids. The coefficients of these ellipsoids are the parameters
which are modified to meet the light pattern specifications and to produce smooth,
continuous junctions between the edges of the ellipsoids. The optimization of these
coefficients is indicated at 29. This includes choosing a particular set of coefficients
for the shape functions as indicated at 30, and using this reflector shape with a
plurality of light paths to find the resulting light intensity distribution.
[0021] The list of light rays are produced from a digital computer model of a tungsten halogen
lamp, indicated at 31. Referring to Fig. 5, this model includes a transverse filament
32 with a temperature distribution along its length. That is, as is normal, filaments
are cool at their ends and hotter in the middle. The resulting light rays are refracted
through an envelope which is modeled as a quartz cylinder 33 with opaque end caps.
[0022] As indicated at 34 in Fig. 3, the light intensity from this digital model lamp is
generated by a list of ray paths leaving the envelope surface. A ray from the envelope
is tested to determine whether it intersects the reflector. If it does not, it is
projected directly onto a sphere surrounding the reflector. If a ray path does intersect,
as at the point 35 in Fig. 6, it is projected onto the surface of the sphere surrounding
the reflector. For example, the ray path which is reflected at 35, intersects the
sphere at the point 36. Actual intensities are determined only for a 30° by 8° screen
on the sphere the screen being indicated at 37 in Fi
g. 6. Intensities are determined by counting the number of rays per unit area to hit
the sphere.
[0023] Referring again to Fig. 3, the step 38 depicts the model of the reflection and the
generation of the list of rays on the sphere around the reflector. In order to specify
the ray path of the reflected ray, the theoretical surfacenormal at the point of intersection
with the reflector (e.
g. the point 35 in Fig. 6) is found. The description of the reflector, from the digital
computer steps 28, 2-9 and 30, is used to find the normal at the point of intersection.
Any real reflector is distorted from the theoretical shape by forming inaccuracies.
This distortion is modeled in accordance with the present invention by allowing the
surface normal to vary about the theoretical normal. A.value of 20 = 1° was chosen
for use in this model by matching actual measurements to model predictions on a previous
design. The reflected ray is finally calculated using this distorted normal and the
incident ray.
[0024] From the ray path tracing, the light intensity across a surface of the sphere is
determined as indicated at 39. This is done by counting the number of rays paths intersecting
each unit area on the sphere screen. These values are compared to the prescribed light
pattern as indicated at 40. For each shape which is tried, a performance factor, referred
to as PFUN, is determined. The performance factor is a measure of how the light intensity
pattern for the shape being tested matches the S.A.E. specifications.
[0025] Steps 30,38,39and 40 are repeated for different shapes, that is for different surface
coefficients. As indicated at 41, the shape which produces a light intensity best
matching the prescribed light pattern is determined. This is done by choosing the
set of coefficients having the optimum performance function, in this case the minimum
value of PFUN. This results in the selection of the best set of coefficients as indicated
at 42.
[0026] For this set of coefficients, the candela values at each of a plurality of points
are printed out as indicated at 43. Appendix II lists a typical printout. The printout
lists candela values at 60 feet for each of 26 test points corresponding with the
S.A.E. test points. Note that of the 26 test points, only test point 25 has a value,
7.71, that is out of spec. In the present case a reflector surface has been produced
which substantially meets S.A.E. specifications.
[0027] From the printout produced at 43 in Fig. 3, the designer may determine that a better
light intensity distribution pattern must be produced. The computer program to be
subsequently described has a capability of repeating the process for different shape
functions which the designer may choose. The designer also may choose which coefficients
are varied in the process.
[0028] From the iterative operation of this process, the best shape is selected as indicated
at 44 in Fig. 3. This shape is used in the fabrication of reflectors.
[0029] Fig. 7 shows a computer generated candela diagram of a light intensity pattern for
a reflector designed by this process. Fig. 7 is the low beam pattern and Fig. 8 is
the high beam pattern. In these diagrams the dashed lines are contours of 2000 candela
and the solid lines are contour lines of 10,000 candela. That is, in Fig. 7, the contour
line 45 represents 2,000 candela, the contour line 46 represents 24,000 candela and
the contour lines in between are intervening candela values. Note in Fig. 7 that the
beam pattern is shifted down and to the right as is required in automotive specifications.
In the high beam pattern of Fig. 8 a wide high intensity beam is produced, shifted
only slightly down into the right as is required by automotive specifications.
[0030] Appendix I lists, by way of example, a computer program which is suitable for performance
on a Univac 1100/81 computer. This listing is provided only for aid in practicing
the invention by programming and debugging a system which is suitable for the particular
application. As with all computer programs it should not be assumed that the program
will run without the usual debugging.
[0031] The program includes a number of subroutines which carry out the steps of Fig. 3
in the following manner.
[0032] ENV, step 34, models a tungsten halogen lamp. It writes the position and direction
of a ray onto file 14. It models radiation from a cylinder with axial temperature
distribution, then determines filament blocking, end cap blocking, and ewelope refraction.
[0033] RUN, step 29, is the main program for optimization It calls OPT2. NITER is the number
of iterations which are run.
[0034] OPT2, steps 30 and 41, is a multivariate optimizer. It looks for the least value
of the performance function PFUN with variation in the vector XNEXT. The optimizer
compares performance indices for several sets of 8 coefficients and guesses at a better
set. Repeating this process many times finds a local minimum of the performance index,
giving the best set of coefficients for the given shape function. This subroutine
attemps to minimize the performance function. OPT2 calls subroutine PFUN.
[0035] PFUN runs reflection and performance subroutines. It returns performance for some
set of variables (DX in this case). To find shape, it would use S vector, not DX.
[0036] RAYR, step 38, models the reflection. It takes rays from file 14, finds intersections
of the rays with the reflector, finds normal at intersection, distorts normal, finds
reflected ray from distorted normal, then projects ray onto spheres 60 and 25 feet
from reflector. Finally, it writes the intersection onto file 10.
[0037] ZVAL, step 28 describes the shape of the reflection surfaces. Given x,y,s, it returns
z. A call to ZVAL takes a x- and y- coordinate along with 8 coefficients S and returns
the Z value of the reflector. Multiple calls can therefore evaluate dz/dx and dz/dy
and find the theoretical surface normal. Two offaxis ellipsoids with a blend area
between are used but other shapes may be used.
[0038] The edge shape function Zl is used on the intervals -94mm to -37mm and 37mm to 94mm.
This shape reflects light from the lamp to the high intensity portion of the pattern.
Three of the eight coefficients are used to vary this shape.
[0039] The center shape function Z2 is used on the interval -30.5mm to 30.5mm. It spreads
light on a horizontal line across the screen. The remaining five coefficients control
this shape.
[0040] On the intervals -37mm to -30.5mm and 30.5mm to 37mm, the shape is a smooth blend
between Zl and Z2.
[0041] The functions are chosen arbitrarily to describe a general shape which the designer
feels may give a good intensity distribution. The designer then chooses which coefficients
to allow to vary. For instance, Zl describes a paraboloid where S(7) is the horizontal
angle between-the primary axis and the screen center. The process of choosing functions
is therefore trial and error. A function choice is put into ZVAL, and its resultant
intensity distribution is found. If the designer likes what he sees, the coefficients
are optimized. If not, he tries another shape.
[0042] NORM finds the unit surface normal at the intersection.
[0043] SCAT distorts the normal about NORM value with the gaussian distribution = SIG.
[0044] REFL finds the unit reflected ray given the incident ray and the distorted normal.
[0045] CD reads sphere intersections from file 10, finds candela values every 1/2° on 30°
x 8° section for both spheres. Filament power is set in line 1020 (2W). If NRAY is
less than 49000, cd values are averaged over 1-1/2° x 1-1/2° area for each point.
[0046] PERF compares model cd values to SAE spec. Returns a performance index for the given
configuration.
[0047] The values for the coefficient set which were used to produce the reflector of Fig.
2 are as follows:
S[1,...,8]=
[.0814,.1730, 2.706,.07733, .2816, 1.6913, 1.9259, .16351].
[0048] While a particular embodiment has been shown and described with respect to automotive
headlights, various modifications are within the true spirit and scope of the invention,
since the invention is equally applicable to other lighting units such as dental lights,
street lighting, and domestic and commercial lighting. The appended claims are, therefore,
intended to cover all such modifications.
1. In a lighting unit, a reflector having at least one reflective surface which directs
light from a light source in a desired pattern, said surface being smooth and continuous.
2. The lighting unit recited in claim 1, comprising a clear, unfluted front cover
attached thereto.
3. The lighting unit recited in claim 1 or 2 having a plurality of reflective surfaces
joined in smooth continuous junctions.
4. The lighting unit recited in claim 1 or 2, wherein said reflective surface includes
a center modified ellipsoid and two edge modified ellipsoids, said ellipsoids being
modified to direct light in said desired pattern and to produce smooth continuous
junctions between said edge ellipsoids and said center ellipsoid.
5. The lighting unit recited in claim 4, wherein said centre ellipsoid is modified
at the center thereof to include a smooth vertical bump, said ellipsoids being tilted
off the axis of said lighting unit.
6. The lighting unit recited in claim 4 or 5, wherein said edge ellipsoids each have
vertically extending smooth junction with said center ellipsoid, said ellipsoids being
concave surfaces.
7. The lighting unit recited in any preceding claim, wherein said reflective surface
directs light in a pattern which meets specifications for automotive headlights to
form a sealed beam automotive headlight.
8. The automotive headlight recited in claim 7, wherein said clear front cover has
an aerodynamically desired angle with respect to said headlight.
9. The lighting unit recited in any preceding claim,wherein the junctions between
reflective surfaces have a minimum radius of curvature greater than about 0.002mm.
10. The light unit recited in claim 9, wherein said minimum radius of curvature is
greater than about 0.0076mm.
11. A process for producing the reflector of claim 1 or 2, comprising the steps of:
(a) digitizing said prescribed light pattern as an input to a digital computer;
(b) digitizing the parameters of a plurality of shape functions specifying the surface
of said reflector as an input to said digital computer;
(c) tracing the path of a plurality of light rays emanating from a digitally modeled
light source, intersecting said reflector and projecting onto a surface spaced apart
from said reflector;
(d) determining the light intensity across said surface;
(e) comparing said light intensity to said prescribed light pattern;
(f) changing said parameters of said shape functions;
(g) repeating steps (c)-(f) to determine the shape function which produces a light
intensity best matching said prescribed light pattern; and
(h) fabricating reflectors having said last named shape function.
12. The process recited in claim 11 wherein the step of tracing includes:
determining the coordinates of the intersection of each light ray with said surface
of said reflector;
determining the normal of the coordinates of said intersection;
projecting each ray path from said normal; and
determining the coordinates of the intersection of each ray path with said surface.
13. The process recited in claims 11 or 12 wherein the step of determining the light
intensity includes:
counting the number of light rays intersecting each unit area of said surface.
14. The process recited in any of claims 11 to 13, wherein said prescribed light pattern
is specified as minimum and maximum intensities at positions on said surface remote
from said headlight and wherein the step of comparing includes:
dividing the counted number of rays paths intersecting each location by the total
number of ray paths and comparing the quotient to the specified intensity at a corresponding
location.
15. The process recited in any of claims 11 to 14, further comprising:
, generating a performance function dependent upon the comparison of said light intensity
to said prescribed light pattern and wherein the steps of said process are repeated
to optimize said performance function.
16. The process recited in any of claims 11 to 15, wherein said digitally modeled
light source includes a filament modeled by a hollow cylinder with a temperature distribution
along its length.
17. The process recited in any of claims 11 to 16 wherein said digitally modeled light
source includes a transparent envelope enclosing at least one filament.
18. The process recited in claim 17 wherein said transparent envelope is modeled as
a glass cylinder with opaque end caps.
19. The process recited in any of claims 11 to 18, wherein said shape functions include
a center modified ellipsoid and two edge modified ellipsoids.
20. The process recited in any of claims 11 to 19 wherein said shape functions are
digitally modeled surfaces and wherein the step of changing said parameters includes
modifying said digitally modeled shape functions to meet said prescribed light pattern
and to produce smooth continuous junctions between said shape functions.
21. The process recited in claim 20, wherein light rays reflected from said junctions
are traced.
22. The process recited in any of claims 11 to 19, further comprising:
digitally modeling said shape functions with smooth continuous junctions between them;
and
tracing the paths of light rays reflected from said junction.
23. The process recited in claim 12, further comprising:
varying said normal within prescribed limits to model distortion caused by forming
inaccuracies.