[0001] The present invention relates to an incandescent reflector lamp which emits light
with a spectral output that substantially simulates sunlight, at least over the visible
range of the electromagnetic spectrum.
[0002] For many years, it has been sought to produce light by artificial means. In the film
and TV industry, for example, where daylight hours are precious and a standard amount
of light having a particular colour is desirable, there is a need to produce artificial
daylight. In response to this need a company by the name of Balzers has developed
a "TL60" daylight filter, which when put in front of a halogen lamp, can convert the
light output of the lamp to roughly that of daylight.
[0003] Artificial daylight is nowadays also sought after for the home and the office to
offer a more soothing environment. A number of different approaches are known where
particular lamps have been adapted in some way to shift their colour coordinates to
values closer to those of the sun.
[0004] For example, it is known to provide an incandescent lamp containing the rare earth
element Neodymium in or on the glass envelope. This addition has a filtering effect
which results in a quite severe absorption in the yellow/orange region of the visual
spectrum. Unfortunately, this results in a spectrum which is not particularly smooth
and which tends to highlight and enhance other colours of the visual spectrum.
[0005] Incandescent daylight lamps having a blue coating are also known. The blue coating
results in a partial filtering of the red portion of the spectrum from the light source.
Generally, this may cause the colour coordinates in the CIE chromaticity diagram to
exhibit a shift towards perfect white, ie. x = 0.33 and y = 0.33, though it still
remains in the yellowish region. However, the spectral output has no real correlation
with the spectrum of sunlight.
[0006] Another attempt to produce artificial daylight is known from the field of fluorescent
lamps. This is achieved by selecting a precise mix of different phosphors in order
to match a desired set of colour coordinates, such as those of sunlight. However,
a problem with these lamps is that their spectral output comprises a series of discrete
sharp spectral peaks, which bears no real correlation to that of sunlight. In addition,
the flickering effect of a fluorescent lamp, due to the AC power supply, often has
a negative effect on people and may defeat any soothing effect created by the simulated
daylight.
[0007] Another lamp is known from DE-A-3931950 (over which claim 1 has been characterised).
This lamp uses an incandescent halogen burner as the light source and incorporates
a cold light reflector on its parabolic surface behind the light source. The lamp
further includes a separate filter, which is preferably a daylight filter made from
a dichroic material, which provides a colour temperature of approximately 5600K. Although
this lamp is said to produce an agreeable cool light, the filter is just a standard
dichroic filter.
[0008] A problem with such standard dichroic daylight filters is that they do not take into
account secondary or multiple reflections which occur within reflector lamps.
[0009] Reflector lamps are lamps which have an integral coating on the generally parabolic
surface located behind the light source, usually a dichroic coating, in order to reflect
light back past the light source and through the front glass.
[0010] The known daylight filters generally reduce the proportion of the yellow and red
light being transmitted. When these filters are formed as dichroic coatings, they
do not absorb but reflect the unwanted radiation back to the parabolic reflector,
whereupon the light is reflected back again towards the front glass. These secondary
and multiple reflections will increase the relative amount of yellow and red light
hitting the dichroic coating of the filter, which also increases the amount of yellow
and red light being transmitted. To correct this, the transmission of yellow and red
light must be significantly lower than the theoretical value.
[0011] According to the present invention, there is provided a reflector lamp for simulating
daylight comprising a front glass, a reflector, a halogen light source and a dichroic
filter to filter light from the light source, characterised in that the transmission
of light through the dichroic filter over the range 400 to 480 nm is not less than
90% and the value of the average transmittance in the 580 to 760 nm region subtracted
from the average transmittance in the 400 to 480 nm region is greater than 70%, wherein
the lamp has colour coordinates and an emission spectrum substantially the same as
sunlight, the emission spectrum of the lamp having a single peaked curve with the
peak laying between 450 and 580 nm and a coefficient of correlation with the spectrum
of sunlight over the visible region of between 0.7 and 1.0.
[0012] Thus, the transmission of light through the filter of the front glass between the
range of 400 and 480nm is higher, and between 580 and 700nm is lower, than the predicted
values for a lamp not having a reflector. This therefore reduces the relative amount
of yellow and red light being emitted and produces light from a reflector lamp whose
spectral emission is closer to that of sunlight.
[0013] In one preferred embodiment, the filter produces a transmission curve that has a
single broad peak with no minima between 400 and 580 nm, most preferably between 400
and 480nm. Preferably the transmission of light over the range 580 to 760nm is below
25%.
[0014] With the known standard daylight filters, which do not take account of secondary
and multiple reflections, the transmission curve exhibits a minimum between 400 and
480nm, usually at around 430nm.
[0015] A further difference between the known filters and that of the present invention
can be seen when the average transmittance in the 580-760 nm region is subtracted
from the average transmittance in the 400-480 nm region. In existing daylight filters
such as those supplied by Balzers and Schott the difference is about 60%, whereas
in the present invention the difference between the two regions is greater than 70%.
[0016] In contrast to the known daylight filters, the transmission properties of the dichroic
filter can be seen therefore to be tuned to take account of secondary and multiple
reflections from the reflector so that the lamp has a spectral emission substantially
the same as sunlight, at least over the visible range.
[0017] Thus the lamp allows a reflector to be used whilst producing a light that more closely
resembles sunlight. The spectral emission has a coefficient of correlation with the
spectrum of sunlight over the visible region of between 0.7 and 1.0, preferably between
0.8 and 1.0, and most preferably between 0.85 and 1.0. In existing products, generally
no correlation exists and in many cases the opposite tendency is found producing negative
values for the correlation coefficient.
[0018] In addition to resembling the sunlight spectrum, the lamp also has colour coordinates
which substantially match those of the sun. In a preferred embodiment, the colour
coordinates were measured as approximately x = 0.32 and y = 0.33. Preferably the colour
coordinates are between 0.310 < x < 0.350 and 0.320 < y < 0.360.
[0019] Although the spectral emission curve of the lamp closely resembles that of sunlight
over the visible region having a single peak in the region between 450 and 580nm,
preferably the width of the peak is narrower than that of the sunlight spectrum. Medical
tests have shown that the human eye can focus more easily on single peaked spectral
light distributions, resulting in better vision for contrast and detail. By decreasing
the width of the single peak, this effect can be increased whilst maintaining a good
colour rendering index (CRI).
[0020] Preferably the lamp has a CRI of greater than 90%. Preferably the CRI is greater
than 93% and in a most preferred embodiment the CRI is equal to or greater than 95%.
A preferred range for the CRI is between 93 and 97%.
[0021] Preferably the peak of the lamp's emission spectrum is at 480 nm as this correlates
well with the peak of the sunlight spectrum. However, just having a single peaked
spectrum provides advantages in its own right, because of the increase in ease with
which the eye can focus.
[0022] In a preferred embodiment, the dichroic filter comprises alternating layers of ZnS
and SiO
2. Preferably the filter consists of the following 8 layers:
layer 1 - ZnS of 76.73nm thickness;
layer 2 - SiO2 of 110.74nm thickness;
layer 3 - ZnS of 65.04nm thickness;
layer 4 - SiO2 of 103.86nm thickness;
layer 5 - ZnS of 71.59nm thickness;
layer 6 - SiO2 of 118.81nm thickness;
layer 7 - ZnS of 102.94nm thickness; and
layer 8 - SiO2 of 80.38nm thickness.
[0023] Preferably the dichroic filter is a coating which is integral with the front glass
of the lamp, preferably coated on the inside of the front glass. Preferably the reflector
lamp has a halogen light source and the dichroic filter is a coating applied to the
inside surface of the front glass which consists of alternating layers of ZnS and
SiO
2.
[0024] This coating is preferably applied by the molybdenum boat thermal evaporation process
using ZnS and SiO as evaporation materials. The SiO is evaporated in a partial oxygen
atmosphere to form SiO
2 layers. This method is advantageous because it is considerably cheaper to use than
other evaporation processes, such as the electron beam gun evaporation process, with
SiO
2 and TiO
2 as evaporation materials, used by Balzers in the production of their above mentioned
"TL60" filter.
[0025] In order to produce the correct spectral emission for the lamp, it is important to
tune the lamp's filter to the particular burner or light source being used and also
to the reflector.
[0026] The reflector may be a standard reflector material which reflects substantially all
of the visible light incident on it back into the lamp, or it may be designed to reflect
only selected wavelengths, for example, a cold light reflector which may allow infrared
light to pass through.
[0027] The preferred light source is an incandescent halogen capsule or burner with a colour
temperature of between 2700 and 3200K, for example, a 100W high volt halogen lamp
or at least a 50W low volt lamp. The higher the colour temperature of the light source,
the better the result will be because less filtering has to be applied.
[0028] It is preferred for the emission from the lamp itself to have a colour temperature
higher than 5000K, while maintaining the smallest possible deviation from the black
body locus of a chromaticity diagram. In the most preferred embodiments, the lamp
has an emission with a colour temperature of greater than 6000K, preferably as high
as 6500K, since this provides a person using the light with better conditions for
reading due to improved contrast and vision.
[0029] However, to an extent many of the advantages provided by the invention, for example,
the soothing properties and the improved contrast and vision can be achieved by the
single peaked distribution without having such a high colour temperature, for example,
4000K. Such a colour temperature may be produced by a high volt 50W lamp, which may
be more appropriate for existing desk top fixtures which usually only allow up to
a maximum of 60W. In a lamp of this type, the single peak of the emission curve would
be at approximately 580 nm, rather than 480 nm for the 6500K version.
[0030] The preferred illuminance level for the lamp is between 1100 and 1700 lx, preferably
between 1200 and 1650 lx, and most preferably at 1350 lx. A homogeneous illumination
of the work space by the lamp is important, especially if the lamp is to maximise
its soothing and its improved contrast and vision properties. The reflector should
therefore have a large beam angle, for example, 50° or more, preferably 60° or greater
for desk top applications, in order to spread the beam of desired illuminance over
a reasonable area, rather than just a small spot.
[0031] Some preferred embodiments of the present invention will now be described by way
of example only and with reference to the accompanying drawings, in which:
FIG. 1 is a side sectional elevation through the central axis of a preferred reflector
lamp;
FIG. 2 is a graph showing the spectral outputs of various lamps from the prior art
compared to that of the sun;
FIG. 3 is a graph showing the spectral outputs of a preferred embodiment of the lamp
of the present invention in comparison with spectral outputs from the sun and a standard
incandescent halogen lamp;
FIG. 4 is a graph showing the transmission properties of the Balzers' "TL60" daylight
filter;
FIG. 5 is a graph showing the transmission properties of the Schott No. 512 filter
used in DE-A-3931950; and
FIG. 6 is a graph showing the transmission properties of a preferred dichroic front
glass coating, in accordance with the present invention.
[0032] In Figure 1, there is shown an embodiment of a preferred reflector lamp. The lamp
comprises a front glass 1, a reflector 2, an incandescent light source 3, often referred
to as a "burner", and a socket 4.
[0033] In the most preferred embodiment, the lamp has a dichroic filter 5 coated on the
inside of the front glass 1.
[0034] The coating may be applied by any suitable technique, the preferred technique being
a standard molybdenum boat thermal evaporation process using ZnS and SiO as evaporation
materials. In the process, the SiO is evaporated in an oxygen enriched atmosphere
to form SiO
2 layers. Other techniques, such as electron beam gun evaporation, may also be used
although tend to be more expensive. As discussed above, in accordance with the invention,
the transmission properties of the dichroic filter are tuned so that the spectral
emission of the lamp is substantially the same as sunlight.
[0035] As an example of a preferred lamp, the lamp consists of a high voltage hard glass
incandescent halogen burner 3, focused inside a parabolic reflector 2 with a rim diameter
of 95mm. The reflector consists of a moulded parabolic glass portion of the lamp envelope
inside which a standard semi durable cold light mirror material is coated. The coating
reflects visible light but is transparent to infrared. A front glass 1 is glued to
the reflector 2 to prevent dust and other pollutants from entering the lamp, as well
as providing protection in the event of the burner 3 exploding and a UV-stop filter.
The front glass 1 has a coating 5 applied to its inside surface which converts the
light emitted from the high voltage burner into a single peaked spectrum with a colour
temperature of at least 6000K. The coating 5 consists of 8 layers of alternating ZnS
and SiO
2 with the following thicknesses:
| Layer Nr. |
Material |
Thickness (nm) |
| 1 |
ZnS |
76.73 |
| 2 |
SiO2 |
110.74 |
| 3 |
ZnS |
65.04 |
| 4 |
SiO2 |
103.86 |
| 5 |
ZnS |
71.59 |
| 6 |
SiO2 |
118.81 |
| 7 |
ZnS |
102.94 |
| 8 |
SiO2 |
80.38 |
[0036] The transmission properties of this coating 5 are shown in Figure 6. The coating
5 in this example achieves a colour temperature conversion of 2800K to between 6000
to 6500K when used with a 100W, high volt light source or at least a 50W low volt
light source.
[0037] The spectral outputs of the sun, various prior art lamps and a preferred embodiment
of the present invention are compared in Figures 2 and 3. In the figures, the spectral
outputs are normalised to 100% in order to allow for comparison.
[0038] The spectral outputs of the different curves when compared to that of the sun correlate
as follows:
| light source |
correlation coefficient |
| sun |
1.00 |
| preferred embodiment of the present invention |
0.86 |
| halogen lamp |
-0.51 |
| neodymium containing lamp |
-0.42 |
| blue coated incandescent daylight lamp |
-0.53 |
| fluorescent daylight lamp |
0.40 |
[0039] Figure 3, in addition to clearly showing that the single peaked spectral emission
of the preferred lamp closely matches that of sunlight, also shows that there is improved
kurtosis, ie. sharpness of the peak. This allows for easier focusing of the human
eye whilst maintaining the high colour rendering index.
[0040] As can be seen from the transmission curves of Figure 4 and 5 of the prior art, the
filters exhibit transmission minima between approximately 420 to 430nm. In contrast
to this, the preferred filter has a transmission curve that exhibits a single broad
peak in the blue region that spans between about 400 and 500nm. The preferred filter
also shows lower transmission in the yellow and red region of the spectrum compared
to the Balzer's "TL60" daylight filter shown in Figure 4.
[0041] The reflector 2 may be of any type, eg. smooth, faceted etc, and its transmission
properties may be dictated by the heat resisting properties of the socket 4 and/or
the light fitting (not shown). The lamp may, for example, be a 75W lamp with a 25°
spread angle for ceiling mount applications, or perhaps a 50W lamp with a 50° spread
angle or a 50mm diameter, 50W lamp with a 60° spread angle for desk lamp applications.
In all these cases, it may be necessary to adjust the coating or filter in order to
compensate for the different colour temperatures of the burners and for the different
secondary and multiple reflections of the various reflector types.
[0042] Thus there has been described a lamp which does not require a complex construction
or extra parts to hold a filter; which in its most preferred embodiment has improved
daylight reproducing abilities; and which can provide a soothing light that enables
optimal contrast and homogeneous illumination of a reading surface.
1. A reflector lamp for simulating daylight comprising a front glass (1), a reflector
(2), a halogen light source (3) and a dichroic filter (5) to filter light from the
light source, characterised in that the transmission of light through the dichroic filter (5) over the range 400 to 480
nm is not less than 90% and the value of the average transmittance in the 580 to 760
nm region subtracted from the average transmittance in the 400 to 480 nm region is
greater than 70%, wherein the lamp has colour coordinates and an emission spectrum
substantially the same as sunlight, the emission spectrum of the lamp having a single
peaked curve with the peak laying between 450 and 580 nm and a coefficient of correlation
with the spectrum of sunlight over the visible region of beween 0.7 and 1.0.
2. A lamp as claimed in claim 1, wherein the dichroic filter (5) is applied to the front
glass (1) of the lamp.
3. A lamp as claimed in claim 1 or 2, wherein the lamp has a colour temperature of greater
than 5000K.
4. A lamp as claimed in claim 3, wherein the lamp has a colour temperature of greater
than 6000K.
5. A lamp as claimed in any preceding claim, wherein the peak of the emission spectrum
is at 480 nm.
6. A lamp as claimed in claim 1 or 2, wherein the lamp has a colour temperature of 4000K
and the peak of the emission spectrum is at 580 nm.
7. A lamp as claimed in any preceding claim, wherein the transmission of light through
the dichroic filter (5) over the range 580 to 760 nm is not more than 25%.
8. A lamp as claimed in any preceding claim, wherein the dichroic filter (5) produces
a transmission curve that has a single broad peak, with no minima present between
the range of 400 to 580 nm.
9. A lamp as claimed in claim 8, wherein the peak of the transmission curve extends between
400 and 480 nm.
10. A lamp as claimed in any preceding claim, wherein the colour coordinates of the lamp
are between 0.310 < x < 0.350 and 0.320 < y < 0.360.
11. A lamp as claimed in any preceding claim, wherein the lamp has a Colour Rendering
Index of greater than 90%.
12. A lamp as claimed in claim 11, wherein the Colour Rendering Index is not less than
95%.
13. A lamp as claimed in any preceding claim wherein the dichroic filter (5) comprises
alternating layers of ZnS and SiO2.
14. A lamp as claimed in claim 13, wherein the dichroic filter (5) comprises 8 or more
layers.
15. A lamp as claimed in claim 14, wherein the dichroic filter (5) consists of the following
8 layers:
layer 1 - ZnS of 76.73nm thickness;
layer 2 - SiO2 of 110.74nm thickness;
layer 3 - ZnS of 65.04nm thickness;
layer 4 - SiO2 of 103.86nm thickness;
layer 5 - ZnS of 71.59nm thickness;
layer 6 - SiO2 of 118.81nm thickness;
layer 7 - ZnS of 102.94nm thickness; and
layer 8 - SiO2 of 80.38nm thickness.
1. Reflektorlampe zur Simulation von Tageslicht mit einer Frontscheibe (1), einem Reflektor
(2), einer Halogenlichtquelle (3) und einem dichroischen Filter (5) zum Filtern von
Licht der Lichtquelle, dadurch gekennzeichnet, dass der Lichtdurchlaß durch den dichroischen Filter (5) über den Bereich von 400 bis
480 nm nicht kleiner ist als 90% und der Wert der durchschnittlichen Durchlässigkeit
im Bereich von 580 bis 760 nm, abgezogen von der durchschnittlichen Durchlässigkeit
im Bereich vom 400 bis 480 nm, größer ist als 70%, wobei die Lampe Farbkoordinaten
und ein Emissionsspektrum aufweist, die substantiell die gleichen sind wie Sonnenlicht,
und wobei das Emissionsspektrum der Lampe eine Kurve mit einem einzelnen Spitzenwert,
der zwischen 450 und 580 nm liegt, und einem Koeffizienten der Korrelation mit dem
Sonnenlichtspektrum über den sichtbaren Bereich von zwischen 0,7 und 1,0 besitzt.
2. Lampe nach Anspruch 1, bei welcher der dichroische Filter (5) an der Frontscheibe
(1) angebracht ist.
3. Lampe nach Anspruch 1 oder 2, bei welcher die Lampe eine Farbtemperatur größer als
5000K aufweist.
4. Lampe nach Anspruch 3, bei welcher die Lampe eine Farbtemperatur größer als 6000K
aufweist.
5. Lampe nach einem der vorhergehenden Ansprüche, bei welcher der Spitzenwert des Emissionsspektrums
bei 480 nm liegt.
6. Lampe nach Anspruch 1 oder 2, bei welcher die Lampe eine Farbtemperatur von 4000K
aufweist und der Spitzenwert des Emissionsspektrums bei 580 nm liegt.
7. Lampe nach einem der vorhergehenden Ansprüche, bei welcher der Durchlässigkeit von
Licht durch den dichroischen Filter (5) über den Bereich von 580 bis 760 nm nicht
mehr als 25% beträgt.
8. Lampe nach einem der vorhergehenden Ansprüche, bei welcher der dichroische Filter
(5) eine Durchlasskurve produziert, die einen einzelnen breiten Spitzenwert aufweist,
mit keinerlei vorhandenen Minima innerhalb des Bereichs von 480 bis 580 nm.
9. Lampe nach Anspruch 8, bei welcher der Spitzenwert der Durchlasskurve sich zwischen
400 und 480 nm erstreckt.
10. Lampe nach einem der vorhergehenden Ansprüche, bei welcher die Farbkoordinaten der
Lampe sich zwischen 0,310 < x < 0,350 und 0,320 < y < 0,360 befinden.
11. Lampe nach einem der vorhergehenden Ansprüche, bei welcher die Lampe einen Farbwiedergabeindex
von mehr als 90% aufweist.
12. Lampe nach Anspruch 11, bei welcher der Farbwiedergabeindex nicht kleiner ist als
95%.
13. Lampe nach einem der vorhergehenden Ansprüche, bei welcher der dichroische Filter
(5) aus abwechselnden Schichten von ZnS und SiO2 besteht.
14. Lampe nach Anspruch 13, bei welcher der dichroische Filter (5) acht oder mehr Schichten
umfasst.
15. Lampe nach Anspruch 14, bei welcher der dichroische Filter (5) aus den folgenden acht
Schichten besteht:
Schicht 1 - ZnS von 76,73 nm Dicke;
Schicht 2 - SiO2 von 110,74 nm Dicke;
Schicht 3 - ZnS von 65,04 nm Dicke;
Schicht 4 - SiO2 von 103,86 nm Dicke;
Schicht 5 - ZnS von 71,59 nm Dicke;
Schicht 6 - SiO2 von 118,81 nm Dicke;
Schicht 7 - ZnS von 102,94 nm Dicke; und
Schicht 8 - SiO2 von 80,38 nm Dicke.
1. Lampe à réflecteur simulant la lumière du jour comprenant une dalle frontale (1),
un réflecteur (2), une source de lumière à halogène (3) et un filtre dichroïque (5)
pour filtrer la source de lumière,
caractérisée en ce que
la transmission de la lumière à travers le filtre dichroïque (5) sur la plage des
400 à 480 nm n'est pas inférieure à 90 % et que la valeur de la transmittance moyenne
sur la plage des 580 à 760 nm, soustraite de la transmittance moyenne dans la région
des 400 à 480 nm est supérieure à 70 %, et dans laquelle la lampe a des coordonnées
de couleur et un spectre d'émission substantiellement identiques à la lumière du soleil,
le spectre d'émission de la lampe présentant une courbe à crête unique se situant
entre 450 et 580 nm et un coefficient de corrélation avec le spectre de la lumière
du soleil sur la région visible comprise entre 0,7 et 1,0.
2. Lampe selon la revendication 1, dans laquelle le filtre dichroïque (5) est appliqué
sur la dalle frontale (1) de la lampe.
3. Lampe selon la revendication 1 ou 2, dans laquelle la lampe présente une température
de couleur supérieure à 5000 ° K.
4. Lampe selon la revendication 3, dans laquelle la lampe présente une température de
couleur supérieure à 6000 ° K.
5. Lampe selon l'une quelconque des revendications précédentes, dans laquelle la crête
du spectre d'émission est à 480 nm.
6. Lampe selon la revendication 1 ou 2, dans laquelle la lampe présente une température
de couleur de 4000 ° K et la crête du spectre d'émission est à 580 nm.
7. Lampe selon l'une quelconque des revendications précédentes, dans laquelle la transmission
de la lumière à travers le filtre dichroïque (5) sur la plage des 580 à 760 nm est
inférieure à 25 %.
8. Lampe selon l'une quelconque des revendications précédentes, dans laquelle le filtre
dichroïque (5) détermine une courbe de transmission n'ayant qu'une crête unique large,
sans minimum présent sur la plage des 400 à 580 nm.
9. Lampe selon la revendication 8, dans laquelle la crête de la courbe de transmission
s'étend entre 400 et 480 nm.
10. Lampe selon l'une quelconque des revendications précédentes, dans laquelle les coordonnées
de couleur de la lampe répondent à :

11. Lampe selon l'une quelconque des revendications précédentes, dans laquelle la lampe
a un indice de rendu des couleurs supérieur à 90 %.
12. Lampe selon la revendication 11, dans laquelle l'indice de rendu des couleurs n'est
pas inférieur à 95 %.
13. Lampe selon l'une quelconque des revendications précédentes, dans laquelle le filtre
dichroïque (5) comporte des couches alternées de ZnS et de SiO2.
14. Lampe selon la revendication 13, dans laquelle le filtre dichroïque (5) comporte au
moins 8 couches.
15. Lampe selon la revendication 14, dans laquelle le filtre dichroïque (5) comprend les
huit couches suivantes :
couche 1 ZnS 76,73 nm d'épaisseur
couche 2 SiO2 110,74 nm d'épaisseur
couche 3 ZnS 65,04 nm d'épaisseur
couche 4 SiO2 103,86 nm d'épaisseur
couche 5 ZnS 71,59 nm d'épaisseur
couche 6 SiO2 118,81 nm d'épaisseur
couche 7 ZnS 102,94 nm d'épaisseur
couche 8 SiO2 80,38 nm d'épaisseur