[0001] The invention relates to a cathode ray tube comprising a display window having a
curved substantially rectangular outside surface with a long axis and a short axis.
[0002] Cathode ray tubes are used in,
inter alia, television receivers, computer monitors and DGD (Data Graphics Display) devices.
[0003] In recent years the aim has been to provide display windows having a relatively small
curvature. Within the framework of the invention it has been found, however, that
disturbing reflections of light sources frequently occur at the outside surface of
the display window, so that the perception of flatness of the display window is substantially
lost. It is an object of the invention to provide a cathode ray tube in which this
disturbing effect has been reduced substantially.
[0004] To this end, a cathode ray tube of the type mentioned in the opening paragraph is
characterized according to the invention in that the outside surface of the display
window is given by:
where X is the x-coordinate divided by half the length of the long axis, Y is the
y-coordinate divided by half the length of the short axis, and each point situated
off the long axis
or short axis complies with the formula:
where:

and

and for X < 0, Y < 0 and

and for X < 0, Y > 0.
[0005] If the above conditions are satisfied, cathode ray tubes having substantially flat
display windows,
i.e. having display windows with a relatively small average curvature, are perceived as
being substantially flat. As has been noted within the framework of the invention,
there are conditions in which conventional cathode ray tubes exhibit a disturbing
distortion of reflections of light sources. Devices in which cathode ray tubes are
used are often arranged in rooms which are artificially lit by elongated horizontally
arranged light sources which extend parallel to the display window. Examples of such
light sources are fluorescent lamps. The most important source of disturbing reflections
in such rooms are said elongated light sources. The disturbing effect which reflections
of such light sources have on conventional display windows is somewhat comparable
to a distorting-mirror effect, and it gives the impression that the display window
is very convex even if the average curvature of the display window is very small.
A further effect which may occur in the image displayed is that as a result of said
reflections a straight line situated right next to a curved reflection image appears
to be curved. A viewer perceives this effect as a decrease in picture quality. The
invention provides a cathode ray tube in which said adverse effects are reduced. In
the case of a cathode ray tube according to the invention, the reflection image of
an elongated horizontal light source has a maximum for the y-value on the short axis,
the reflection image of a vertical elongated light source has a minimum for the x-value
on the long axis. A "distorting-mirror" effect does not occur. Two reflection images
of one point of a light source are never formed on the display window. By virtue thereof,
the display window is perceived as being flat and reflections of the light sources
are disturbing to a minor degree only. For reasons of simplicity, the conditions stated
in the formula above will hereinafter also be referred to as "formula 1".
[0006] In a further embodiment of the invention, each line parallel to the long axis complies
with the equation:

, for X = 0, 1 and 0.5, respectively,
where

.
For a line extending parallel to the x-axis, the Y-coordinate is a constant.
In the above condition, A₁, A₂ and A₃ are shortened forms of (∂z/∂Y)
x=0 etc. If the above condition regarding ∂z/∂Y satisfied, relatively little distortion
takes place in the reflection of a horizontally arranged linear light source. In the
most important part of the display window no or only very little curvature of the
reflection images takes place. For the sake of simplicity, said conditions will hereinafter
also be referred to as "formula 2".
[0007] In a further embodiment of the invention, each line extending parallel to the short
axis complies with the equation:

, for Y = 0, 1 and 0.5, respectively,
where

.
B₁, B₂ and B₃ are shortened forms of (∂z/∂X)y etc. If this condition regarding ∂z/∂x
is satisfied, relatively little distortion takes place in the reflection of a vertically
arranged linear light source. Said conditions will hereinafter also be referred to
as "formula 3".
[0008] A few embodiments of the cathode ray tube according to the invention will be described
in greater detail with reference to the accompanying drawing, in which
Fig. 1 is a sectional view of a cathode ray tube according to the invention;
Fig. 2 is a partly perspective elevational view of a display window;
Figs. 3a up to and including 3d are front views of a few reflection images on an outside
surface of a display window.
Figs. 4 and 5 show reflection images.
[0009] The Figures are not drawn to scale. In the Figures, corresponding parts generally
bear the same reference numerals.
[0010] A cathode ray tube, in this example colour display tube 1, comprises an evacuated
envelope 2 which consists of a display window 3, a cone portion 4 and a neck 5. In
the neck 5 there is provided an electron gun 6 for generating three electron beams
7, 8 and 9 which extend in one plane, the in-line plane, which in this case is the
plane of the drawing. A display screen 10 is situated on the inside of the display
window. The display screen 10 comprises a large number of phosphor elements luminescing
in red, green and blue. On their way to the display screen 10, the electron beams
7, 8 and 9 are deflected across the display screen 9 by means of deflection unit 11
and pass through a colour selection electrode 12 which is arranged in front of the
display window 3 and which comprises a thin plate having apertures 13. The colour
selection electrode is suspended in the display window by means of suspension means
14. The three electron beams 7, 8 and 9 pass through the apertures 13 of the colour
selection electrode at a small angle with each other and, hence, each electron beam
impinges on phosphor elements of only one colour.
[0011] Fig. 2 is a partly perspective elevational view of a display window. The points of
the outside surface can be described by a function z = f(X, Y) where z is the distance
between a point and the tangent plane to the centre of the outside surface. In general,
z is termed the sagittal height. The z-axis extends perpendicularly to the tangent
plane to the centre of the outside surface of the display window and is indicated
in the Figure. The short axis is indicated as the y-axis, the long axis is indicated
as the x-axis. Said axes extend perpendicularly to each other and to the z-axis. The
outside surface is constructed such that it is mirror symmetrical relative to the
short and the long axes. The centre of the outside surface coincides with the point
of intersection of the long and the short axes. The x-coordinate of a point can be
found by projecting said point perpendicularly onto the x-axis. In terms of its absolute
value, the x-coordinate is equal to the distance along the x-axis between the centre
of the outside surface and the point of projection on the x-axis. The sign is positive
on one side of the short axis and negative on the other side. The y-coordinate of
a point can be found by projecting said point perpendicularly onto the y-axis. In
terms of its absolute value, the y-coordinate is equal to the distance along the y-axis
between the centre of the outside surface and the point of projection on the y-axis.
The sign is positive on one side of the long axis and negative on the other side.
The X-value of a point is equal to the x-coordinate divided by half the length of
the long axis, so that the x-value for the edge of the outside surface at the end
of the long axis is 1, and -1 at the opposite end of the long axis. The Y-value of
a point is equal to the y-coordinate divided by half the length of the short axis,
so that the Y-value for the edge of the outside surface at the end of the short axis
is 1, and -1 at the opposite end of the short axis.
[0012] Figs. 3a up to and including 3d show front views of a few reflection images on the
outside surface of the display window. In Fig. 3a, the x-axis and the y-axis are indicated
as well as the points X = 1, Y = 0 (32) and X = 0, Y = 1 (33). Said points correspond
to a point at an edge of the outside surface at the end of the long axis (point 32)
and to a point at the end of the short axis, respectively. Said points correspond
to the edges of the display screen,
i.e. if lines are drawn from said points in the z-direction, said lines intersect the
edges of the display screen.
[0013] According to the invention, the outside surface is characterized in that it conforms
to the characterizing part of claim 1.
[0014] Fig. 3a shows a reflection image 31 of an elongated light source which is arranged
parallel to the x-axis, for z
xy/signXY < 0 for the outside surface (Fig. 3a) and for z
xy varying over the outside surface such that also positive values of z
xy occur (Fig. 3b). A reflection image as shown in Fig. 3b gives the disturbing impression
that the display window is very convex. The reflection image as shown in Fig. 3a does
not have this disadvantage. A similar effect occurs with elongated light sources which
are arranged parallel to the y-axis. Fig. 3c shows a reflection image 31 of an elongated
light source which is arranged parallel to the x-axis, for a cathode ray tube the
outside surface of which complies with the formula

, and Fig. 3d shows a reflection image 31 for a situation in which there are points
34 which do not comply with the above formula. The radius of curvature of the outside
surface at a point is dependent on the direction along which the radius of curvature
is taken. For each point a radius of curvature in the x- or in the y-direction can
be defined. Likewise the radius of curvature in any direction in between the x- and
y-direction can be defined. For points 34 which do not comply with the above formula
the radius of curvature is positive for some directions and negative for other directions.
This has as a consequence that double reflection images occur around these points.
This too gives the disturbing impression that the display window is very convex around
said points and the perception of flatness of the display window is lost. If the above
formula applies for all points which do not lie on the x- or y-axis, than for each
point the radius of curvature is positive for all directions. No double reflections
occur then.
[0015] In a further embodiment of the invention the outside surface complies with the formulae:

, for Y = Y₀, X = 0,

, for Y = Y₀, X = 1 and

, for Y = Y₀, X = 0.5, where

, and
where Y₀ may be any value between -1 and +1.
If this requirement is met, there is relatively little distortion in the reflection
of a horizontally arranged light source.
[0016] Fig. 4 shows the reflection image 41 of a horizontally arranged light source when
said condition is fulfilled, and it shows reflection image 42 when said condition
is not fulfilled, in this case when

. In the central part of the display window,
i.e. the area between X = 0 and X = 0.5, the curvature of the reflection image 41 is much
smaller than the curvature of the reflection image 42.
[0017] In yet another embodiment of the invention it holds that:

, for X = X₀, Y = 0, X = X₀, Y = 1 and X = X₀, Y = 0.5, respectively, where

, where X₀ may be any value between -1 and 1.
When this condition is fulfilled, there is relatively little distortion in the reflection
of a vertically arranged light source.
[0018] Fig. 5 shows the reflection image 51 of a vertically arranged light source when the
above condition is fulfilled, and it shows the reflection image 52 if

.
[0019] The above formulary conditions to be satisfied by the shape of the display window
will be elaborated below for a number of shapes of display windows. It is noted that
A₁, A₂, A₃ and B₁, B₂, B₃ are shortened forms of ∂z/∂X, for Y = Y₀, X = 0 etc.
[0020] For a display window whose outside surface can be described by:
where A, B and C are constants and A > 0, B > 0 and C < 0, the conditions of formula
1

are satisfied if it holds that

.
For such screens it holds that

,

. Such a screen does not satisfy the other conditions (formulae 2 and 3)

, and

.
[0021] For a display window which can be described by:
where A > 0, B > 0, C < 0 and D < 0, the conditions of "formula 1" are satisfied if
C-D < 0 and C+D < 0 (or in other words D/C < 1) and if it holds that

. The conditions of "formula 2" are met if: D/C > 0.8. Further, it holds that

, so that the condition

("formula 3") is not satisfied.
For a display window which can be described by:
where A > 0, B > 0, C < 0 and E < 0, the conditions of "formula 1" are satisfied if:
C-E < 0 and C+E < 0 (or in other words E/C < 1) and if it holds that

. The conditions of "formula 3" are satisfied if: E/C > 0.8. Further, it holds that

, so that the condition

is not satisfied.
[0022] It will be obvious that within the scope of the invention many variations are possible.
In the examples a description is given of, for example, a colour cathode ray tube;
however, the invention is not limited thereto, in further examples the cathode ray
tube can be, for example, a monochrome cathode ray tube or a black-white cathode ray
tube. In the example, the evacuated envelope comprises one neck 5; however, in further
examples the cathode ray tube may comprise more than one neck having an electron gun.
In the examples, a number of descriptions of surfaces are given. However, the invention
is not limited to said examples nor to the manner in which they are described. In
the case of more complicated surfaces there is sometimes more than one manner of giving
an approximate description of the surface in the form of a formula. In the case of
display windows which can be described by a formula z = f(X, Y) and which have a more
complicated shape than the display windows described herein, the partial derivatives
across the screen can be calculated after which, either analytically or by means of
a computer program, it can be calculated which conditions the formula f(X, Y) must
satisfy to comply with the above formulae 1, 2 or 3.
[0023] Hereinbefore, all partial derivatives are expressed in the standardized units X and
Y. Sometimes, z is expressed in x and y

. In that case, expressed in x and y, the formulae 1, 2 and 3 can be given by:
(formula 1)
where

and

,

and for x < 0, y < 0 and

and for x < 0, y > 0;
(formula 2)

for x = 0, x₀ and 0.5*x₀, respectively,
where

, and X
o is the value of x at the end of the long axis; and
(formula 3)

for y = 0, y₀ and 0.5*y₀, respectively,
where

, and y₀ is the value of y at the end of the short axis.
[0024] In general, the most clearly visible and, hence, most disturbing reflections occur
at the outside surface of the display screen. Reflections may also occur at the inside
surface of the display window. The disturbing effects of the latter reflections are
reduced if the inside surface of the display window complies with the above formulae
1,2 and/or 3, where z, X and Y relate to points on the inside surface. In embodiments,
both the inside surface and the outside surface may comply with the formulae. Preferably,
embodiments of cathode ray tubes according to the invention, said cathode ray tubes
comprising a shadow mask, are characterized in that the maximum values of

and/or

for the inside surface are smaller than 0.20 and greater than 0.1. Doming occurs
in cathode ray tubes comprising a shadow mask. Doming is a phenomenon which causes
picture quality to be adversely affected as a result of bulging of the shadow mask.
It is very difficult to attain an acceptable degree of doming when the maximum values
of

and/or

are smaller than 0.1. At maximum values in excess of 0.20, the positive effect on
reflections is small. The invention is especially important for cathode ray tubes
having a relatively small curvature, i.e. having an average radius of curvature larger
than e.g. 1500 mm. For such tubes the mentioned negative influences of the disturbing
reflections are especially noticeable. Cathode ray tubes of the invention can have
an aspect ratio of 3:4, or smaller than 3:4 e.g. smaller than 3:5, e.g. 9:16.
1. A cathode ray tube comprising a display window having a curved substantially rectangular
outside surface with a long axis and a short axis, characterized in that the outside
surface of the display window is given by:
where X is the x-coordinate divided by half the length of the long axis, Y is the
y-coordinate divided by half the length of the short axis, and each point which is
situated off the long axis and short axis complies with the formula
where

and

,

and forX < 0, Y < 0 and

and for X < 0, Y > 0.
2. A cathode ray tube as claimed in Claim 1, characterized in that for each line having
a constant Y-value it holds that:

for X = 0, 1 and 0.5, respectively, where

.
3. A cathode ray tube as claimed in Claim 1 or 2, characterized in that for each line
having a constant X-value it holds that:

for Y = 0, 1 and 0.5, respectively, where

.
4. A cathode ray tube comprising a display window having a curved substantially rectangular
inside surface with a long axis and a short axis, characterized in that the outside
surface of the display window is given by:
where X is the x-coordinate divided by half the length of the long axis, Y is the
y-coordinate divided by half the length of the short axis, and each point which is
situated off the long axis and short axis complies with the formula
where

and

,

and for X <0, Y < 0 and

and for X < 0, Y > 0.
5. A cathode ray tube as claimed in Claim 4, characterized in that for each line having
a constant Y-value it holds that:

for X = 0, 1 and 0.5, respectively, where

.
6. A cathode ray tube as claimed in Claim 4 or 5, characterized in that for each line
having a constant X-value it holds that:

for Y = 0, 1 and 0.5, respectively, where

.
7. A cathode ray tube as claimed in Claim 4, said cathode ray tube comprising a shadow
mask, characterized in that for each line having a constant Y-value it holds that:

for X = 0, 1 and 0.5, respectively, where the maximum value of

ranges between 0.1 and 0.2.
8. A cathode ray tube as claimed in Claim 4 or 7, said cathode ray tube comprising a
shadow mask, characterized in that for each line having a constant X-value it holds
that:

for Y = 0, 1 and 0.5, respectively, where the maximum value of

ranges between 0.1 and 0.2.