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Claims  |
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What is claimed is:
1. A lens assembly for use in an overhead projector for projecting an image
from a transparency stage to a projection screen, said overhead projector
including a light source, said lens assembly comprising, in order from
said stage to said screen, a diverging meniscus lens, airspaced from a
converging meniscus lens, airspaced from a converging double convex lens,
airspaced from a diverging double concave lens.
2. A lens assembly for use in an overhead projector according to claim 1,
further including a mirror positioned between said converging meniscus
lens and said converging double convex lens for directing light from said
light source through said lens assembly.
3. The lens assembly for use in an overhead projector according to claim 1,
wherein said lens assembly has a telephoto ratio, defined as the length of
said lens assembly plus the back focal distance of said lens assembly
divided by the focal length of said lens assembly, of approximately 1.75.
4. The lens assembly for use in an overhead projector according to claim 1,
wherein the characteristics of said lenses and their spatial relationship
are substantially the same as in the following table:
______________________________________
R.sub.1 = -113.370
1 1.5111 60.41 T.sub.1 = 5.0
R.sub.2 = -170.500
S.sub.1 = 1.00
R.sub.3 = 90.018
2 1.5168 64.17 T.sub.2 = 14.0
R.sub.4 = 3264.700
S.sub.2 = 92.56
R.sub.5 = 248.900
3 1.6200 36.37 T.sub.3 = 12.0
R.sub.6 = -274.580
S.sub.3 = 10.00
R.sub.7 = -96.024
4 1.5168 64.17 T.sub.4 = 5.0
R.sub.8 = 900.000
______________________________________
wherein the respective lenses are numbered from said stage toward said
screen in the first column, the corresponding refractive indices N for the
D line of the spectrum are given in the second column, the corresponding
dispersive indices V are given in the third column, the radii of curvature
R of the lens surfaces are given in the fourth column, the respective
surfaces being numbered in sequence in the same order as the lenses and
being respectively identified by the subscript numeral used with each R,
plus and minus values of R indicating surfaces which are respectively
convex and concave to radiation entering the lens from the stage, the
axial thicknesses T of the respective lens elements and the airspaces S
between lenses are given to the fifth column, the respective thicknesses T
of the lenses and the airspace S between lenses being identified by
subscripts numbered in sequence in the same order as the lenses, and the
quantities R, T, and S being expressed in millimeters.
5. The lens assembly for use in an overhead projector according to claim 1,
wherein the characteristics of said lenses and their spatial relationship
are substantially the same as in the following table:
______________________________________
R.sub.1 = -102.870
1 1.5111 60.41 T.sub.1 = 3.0
R.sub.2 = -152.350
S.sub.1 = 1.00
R.sub.3 = 89.286
2 1.5168 64.17 T.sub.2 = 14.0
R.sub.4 = -2221.310
S.sub.2 = 93.00
R.sub.5 = 211.680
3 1.6259 35.70 T.sub.3 = 14.0
R.sub.6 = -503.850
S.sub.3 = 10.00
R.sub.7 = -96.154
4 1.5168 64.17 T.sub.4 = 3.0
R.sub.8 = 1292.470
______________________________________
wherein the respective lenses are numbered from the stage toward the screen
in the first column, the corresponding refractive indices N for the D line
of the spectrum are given in the second column, the corresponding
dispersive indices V are given in the third column, the radii of curvature
R of the lens surfaces are given in the fourth column, the respective
surfaces being numbered in sequence in the same order as the lenses and
being respectively identified by the subscript numeral used with each R,
plus and minus values of R indicating surfaces which are respectively
convex and concave to radiation entering the lens from the stage, the
axial thicknesses T of the respective lens elements and the airspaces S
between lenses are given to the fifth column, the respective thicknesses T
of the lenses and the airspace S between lenses being identified by
subscripts number din sequence in the same order as the lenses, and the
quantities R, T, and S being expressed in millimeters. |
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Claims  |
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Description  |
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BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates generally to overhead projectors and, in
particular, to projection lenses used with said projectors.
2. Description of the Related Art
Overhead projectors are used to form an enlarged image of a photographic
transparency or other material on a projection screen. Overhead projectors
generally include a base or housing which contains a light source and
associated optical elements. A vertical beam of light is directed upward
from the light source and through a transparent plate, or projection
stage, located at the top of the housing. With conventional overhead
projectors, a Fresnel condenser lens assembly located within the housing
beneath the projection stage serves to concentrate light from the light
source through the transparency and to concentrate light on a projection
lens disposed above the projection stage.
Conventional overhead projectors also include a projection head which
carries the projection lens assembly. The projection head is carried by a
bracket which is slidably positionable along a vertical post extending
upwardly from the housing. The most conventional form for overhead
projection lenses is a two-element projection lens assembly utilizing two
spaced positive meniscus lenses, one to direct light toward a mirror
reflector, and the other to receive light from the mirror to project an
image on a vertical projection screen or surface to enable the magnified
image of the transparency to be viewed. The projected image is focused by
movement of the projection lens assembly toward and away from the stage
upon which the transparency to be projected is placed. Conventional
two-element projection lenses are illustrated and described in such
publications as U.S. Pat. Nos. 3,126,786 issued to Appeldorn and 3,334,957
issued to Field.
Conventional projection lenses for use in overhead projectors have a focal
length in the range of 275 to 355 millimeters. The focal length of the
projecting lens is determined by the magnification desired and the
distance of the projector from the screen. For the magnification range
through which this type of projection lens is used, the projection
distance between the overhead projector and the projection screen must be
several feet in order to project an image which is large enough for
readability. For example, using a typical 350 millimeter focal length
projection lens at a 5.7.times. magnification, the projector is between
seven (7) to eight (8) feet (2.13 to 2.44 meters) from the screen.
However, this projection distance is often incompatible with smaller
conference rooms. In smaller conference rooms, the overhead projector may
not allow enough space between the presenter and the audience. This
distance between the projector and the screen also may result in partial
blockage of the screen by the projector and/or the presenter. It is
therefore desirable in certain situations to be able to position the
overhead projector closer to the projection screen.
A shorter focal length, "wide-angle" projection lens is one attempt to
decrease the projection distance while maintaining the same image
magnification. The most useful shorter focal length lenses for this
application are in the 235 to 245 millimeter range. However, the use of
this type lens results in a reduced back focal distance, i.e., the
distance between the transparency and the center of the bottom lens. This
type of short focal length lens is therefore incompatible with the focus
adjustment range of conventional overhead projectors, because the focusing
post of the overhead projector must be shortened significantly, and
special Fresnel condensing optics must be used. Most importantly, these
type of lenses have a reduced field coverage which will not image a
full-sized A4 stage, so that an outer portion of the transparency will not
be projected on the projection screen.
One way to increase the lens field coverage and back focus relative to the
focal length is a lens system of the retrofocus or inverted telephoto
type. With this type of lens, the back focus can be considerably increased
with respect to the focal length. Although there have been many designs
for lens systems of this type, e.g., U.S. Pat. Nos. 4,145,117 issued to
Ikeda; 4,182,549 issued to Kreitzer; and 4,203,653 issued to Mori, these
lens systems have not addressed the special requirements of overhead
projection. Also, these lens system designs are often complex, consisting
of five or more lens elements.
The present invention addresses the problems associated with the above
projection lens designs.
SUMMARY OF THE INVENTION
The present invention comprises a four-element retrofocus projection lens
assembly for use with conventional overhead projectors for projecting an
image from a transparency stage to a projection screen. The lens assembly
consists of two groupings of two lens elements each, separated by a
mirror. The projection lens assembly affords a reduced projection distance
from the lens assembly to a projection screen while retaining
substantially the same back focal distance as conventional longer focal
length two-element projection lenses for overhead projectors. The lens
assembly particularly includes, in order from the stage to the screen, a
diverging meniscus lens, airspaced from a converging meniscus lens,
airspaced from a converging double convex lens, airspaced from a diverging
double concave lens.
The lens assembly further includes a mirror positioned between the
converging meniscus lens and the converging double convex lens for folding
light from a vertical direction to a horizontal direction.
The present invention is advantageous in that the overhead projector can be
positioned closer to the projection screen than was possible with
conventional overhead projectors. This allows for optimal positioning of
the overhead projector, especially in small conference rooms. The lens
system of the present invention also allows a full A4 size transparency to
be projected upon the screen, with large enough magnification to provide
readability of the image.
Another feature of the present invention is that the lens system is fully
interchangeable with the projection lenses of a conventional overhead
projector. The lens system maintains the back focal distance of
conventional, longer focal length lenses. Thus, the projection lens
systems can be easily interchanged, depending upon the size and
configuration of the conference room and audience. To accomplish this, one
need merely attach the appropriate projector head to the conventional
overhead projector's support post, one projector head containing the
conventional two element lens system, and another projector head
containing the retrofocus lens system of the present invention.
These and other features of the invention will become apparent from a
consideration of the following description of the invention and
accompanying drawing which form a part of this application.
BRIEF DESCRIPTION OF THE DRAWINGS
The present invention will be more particularly described with respect to
the accompanying drawing, wherein:
FIG. 1 is a schematic view of a projection lens assembly constructed in
accordance with the present invention.
DESCRIPTION OF THE PREFERRED EMBODIMENT
Referring 1, there is illustrated a schematic view of the projection lens
assembly of the present invention, designated generally at 8, for use in
an overhead projector. A vertical axial ray of light, illustrated by the
line 6, extends from a light source (not shown) in the base of the
overhead projector and through the projection lens assembly. A horizontal
axial ray of light, illustrated by the line 7, extends from the projection
lens assembly 8 to a remote projection screen (not shown). The axial rays
6,7 denote the center of the projected cone of light. The lens assembly 8
of the present invention is preferably mounted upon a support arm for
movement along the vertical optical axis 6 toward and away from the stage
to facilitate focusing of the image upon the screen.
The projection lens assembly 8 of the present invention is utilized with a
conventional overhead projector as is well known in the art. Such an
overhead projector typically has a base or housing with a clear glass
stage upon which is positioned a transparency (not shown) of which a
magnified image is to be projected.
The projection lens assembly 8 illustrated in FIG. 1 comprises a diverging
or negative meniscus lens 1, which is airspaced from a converging or
positive meniscus lens 2, airspaced from a converging or positive double
convex lens 3, which is airspaced from a diverging or negative double
concave lens 4. The diverging meniscus lens 1 has its concave side facing
the stage; the converging meniscus lens 2 has its convex side facing the
stage; and the diverging double concave lens 4 has its longer radius
concave side facing the projection screen. Positioned between the
converging meniscus lens 2 and the converging double-convex lens 3 is a
plane mirror 5, which is oriented to fold or direct light passing through
the projector stage from a vertical path 6 to a horizontal path 7 toward
the projection screen.
The mirror 5 and lenses 3 and 4 are movable to afford a tilt capability to
the projected image to move the image up and down on the screen in a
manner well known in the art as an "articulating" arrangement, wherein the
lens 3 and 4 pivot at twice the angular rate of pivotal movement of the
mirror 5.
A preferred specific embodiment of the lens assembly 8 of FIG. 1 is listed
below in Table 1, wherein the respective lenses are recited together with
the corresponding refractive indices, N.sub.d, for the spectral D line of
the spectrum; the corresponding dispersive indices or Abbenumber, V, are
given for each lens; and the radii of curvature, R, of each surface of
each lens is given. The respective lens surfaces are numbered in sequence
and indicated by a numerical subscript in the same order as the lenses are
consecutively numbered from the stage toward the screen, with plus and
minus value of R indicating surfaces which are convex and concave
respectively to radiation entering the front surface of the lens (the
surface closest to the stage). The axial thickness T of the respective
lenses and the airspaces S between the lenses are also recited with the
respective lens thickness T being identified for each lens by the
corresponding subscript, and airspaces S between lens elements being also
identified by subscripts numbered in sequence in the same order as the
lenses. The quantities of the radii R, thickness T, and spacing S are
expressed in millimeters.
TABLE 1
__________________________________________________________________________
Radius
Refractive
Abbe of
Index Number
Curvature
Thickness
Airspaces
Lens
N.sub.d
V R (mm) T (mm)
S (mm)
__________________________________________________________________________
1 1.5111
60.41
R.sub.1 = -113.370
T.sub.1 = 5.0
S.sub.1 = 1.00
R.sub.2 = -170.500
2 1.5168
64.17
R.sub.3 = 90.018
T.sub.2 = 14.0
S.sub.2 = 92.56
R.sub.4 = 3264.700
3 1.6200
36.37
R.sub.5 = 248.900
T.sub.3 = 12.0
S.sub.3 = 10.00
R.sub.6 = -274.580
4 1.5168
64.17
R.sub.7 = -96.024
T.sub.4 = 5.0
R.sub.8 = 900.000
__________________________________________________________________________
For the lens assembly described by the parameters of Table 1, the lens 1
has an equivalent focal length of -673.96 mm and a nominal diameter of
100.0 mm; lens 2 has an equivalent focal length of 178.85 mm and a nominal
diameter of 90.0 mm; lens 3 has a equivalent focal length of 212.44 mm
nominal diameter of 100.0 mm; and lens 4 has an equivalent focal length of
-167.61 mm and a nominal diameter of 110.0 mm. In this embodiment the lens
elements are designed and sized to project a full-size A4 stage over its
entire magnification range. The lens system shown in Table 1 has an
equivalent focal length of 244.96 mm and a total length of 139.56 mm. The
telephoto ratio of the lens being assembly of Table 1 is 1.71, the
telephoto ratio being defined as the lens assembly length plus the back
focus distance of the lens assembly, divided by the focal length of the
lens assembly.
Table 2 shows the corresponding back focal distances in millimeters and
projection distances in meters for given magnifications, when the lens
assembly of Table 1 is employed.
TABLE 2
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Back Focal Distance
Projection Distance
Magnification
(mm) (m)
______________________________________
9.5X 305.3 2.440
6.0X 320.3 1.580
2.5X 377.5 0.725
______________________________________
A second embodiment of the lens assembly of the present invention is
indicated in Table 3 wherein the definitions of the quantities involved
and the numbering convention of the lenses are the same as described with
respect to Table 1.
TABLE 3
__________________________________________________________________________
Radius
Refractive
Abbe of
Index Number
Curvature Thickness
Airspaces
Lens
N.sub.d
V R (mm) T (mm)
S (mm)
__________________________________________________________________________
1 1.5111 60.41
R.sub.1 = -102.870
T.sub.1 = 3.0
S.sub.1 = 1.00
R.sub.2 = -152.350
2 1.5168 64.17
R.sub.3 = T.sub.2 = 14.0
S.sub.2 = 93.00
R.sub.4 = -2221.310
3 1.6259 35.70
R.sub.5 = 211.680
T.sub.3 = 14.0
S.sub.3 = 10.00
R.sub.6 = -503.850
4 1.5168 64.17
R.sub.7 = -96.154
T.sub.4 = 3.0
R.sub.8 = 1292.470
__________________________________________________________________________
The lens assembly defined by the values of Table 3 has an equivalent focal
length of 234.68 mm, a total length of 138.0 mm, and a telephoto ratio of
1.78.
Equivalent focal lengths of the individual lens elements are as follows:
lens 1: -632.69 mm, lens 2: 166.43 mm, lens 3: 239.96 mm, lens 4: -173.05
mm. Nominal lens diameters are the same as in the embodiment.
Table 4 illustrates the back focal distances and projection distances for
corresponding magnifications, when the assembly of Table 3 is utilized.
TABLE 4
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Back Focal Distance
Projection Distance
Magnification
(mm) (m)
______________________________________
9.5X 304.6 2.330
6.0X 319.0 1.510
2.5X 373.8 0.686
______________________________________
It is to be understood that numerous and various modifications can be
readily devised in accordance with the principles of the present invention
by those skilled in the art without departing from the spirit and scope of
the invention. Therefore, it is not desired to restrict the invention to
the particular constructions illustrated and described but to cover all
modifications that may fall within the scope of the appended claims.
* * * * *
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Description  |
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