1. Field of the Invention
The present disclosure is directed toward an optical component such as, for example, a mirror in a projection objective. Electromagnetic radiation emitted by a light source impinges on an optical surface of the optical component, and consequently, heats the optical component to a maximum temperature Tmax. The optical component is fabricated of a material having a temperature-dependent coefficient of thermal expansion α(T).
Such optical components are of particular interest especially in the field of X-ray lithography. This applies in particular for lithography with soft X-rays, namely the so-called extreme ultraviolet (EUV) lithography in the wavelength region of 10 to 30 nanometers (nm). Mirrors with a high reflectivity in the X-ray region are used as optical components in the area of X-ray lithography. Such mirrors can be operated close to the perpendicular incidence as so-called normal-incidence mirrors or in grazing incidence as grazing-incidence mirrors. Mirrors are designated as grazing-incidence mirrors where rays of a ray pencil impinge upon the mirrors at angles of α>70° relative to the surface normal.
2. Description of the Related Art
X-ray mirrors with a high reflectivity in the X-ray region that are operated as normal-incidence mirrors comprise a substrate material and, based on the same, a multi-layer system, e.g. a Mo/Si multi-layer system or a Mo/Be multi-layer system or a MoRu/Be multi-layer system. With such systems it is possible to achieve reflectivity of over 50% or even of over 60% in the EUV range.
Depending on a wavelength of light to be reflected, it is also possible to use layer systems of other materials.
In addition to X-ray mirrors that are operated as normal-incidence mirrors it is also possible to use mirrors that are operated in grazing incidence, namely so-called grazing-incidence mirrors. Such mirrors also comprise a substrate material. A simpler layer system is applied to the substrate material however. The applied layer can be a ruthenium, palladium or rhodium layer.
For X-ray mirrors used in EUV lithography, and especially in projection objectives, high image-forming qualities are should be achieved.
Since the X-radiation, as explained above, is never reflected completely either under normal incidence or under grazing incidence, energy is introduced into the mirrors, and the mirrors or the respective optical components heat up, that is, increase in temperature. The heating of an optical component causes a thermal expansion that influences image-forming quality of the optical component.
EP 0 955 565 discusses minimization of thermal effects in optical components used in EUV projection systems. For the purpose of suppressing the thermal effects, the mirrors known from EP 0 955 565 comprise a metallic substrate as substrate material. As a result of the favorable thermal conductivity of the metals, the heat introduced into the mirrors is removed efficiently via the rear sides of the metal substrates preferably by a cooling apparatus. The aberrations due to mirror deformations are minimized by this discharge of heat.
A disadvantageous aspect in the solution according to EP 0 955 565 is that the minimization of aberrations introduced by the heat occurs in such away that the heat introduced into the optical component is removed actively by the cooling device. This requires a complex set-up. Moreover, additional components always bear a risk for failure.
A further disadvantage in the use of metals as substrate material is that it is necessary, in order to achieve the smoothest possible surface, to coat the metal substrate with a thin film of an amorphous substance as an intermediate layer. The intermediate layer is polished in order to achieve a sufficiently low roughness. It is only on this layer that the optical layers of the EUV components are applied, e.g., the multiple layer systems for the normal-incidence mirrors or the optical coatings for the grazing-incidence mirrors.
It is an object of the present invention to overcome the disadvantages of the state of the art, especially to provide a possibility with which aberrations caused by the heating of the respective optical component are minimized. This goal is to be achieved with the lowest possible technical input.
This object is achieved by an optical component that includes a material having a temperature-dependent coefficient of thermal expansion α(T), such that α(T), or its derivative with respect to temperature, i.e., dα(T)/dT, changes sign from positive to negative or from negative to positive close to a temperature T0 that corresponds approximately to the maximum temperature Tmax to which the optical component, i.e. the optical surface of the optical component, is heated by impinging radiation. The expression “corresponds approximately to the maximum temperature” shall mean in the present application that the following applies:
Tmax−0.5·δT≦T0≦Tmax+0.5·δT
preferably
Tmax−0.3·δT≦T0≦Tmax+0.3·δT
and more preferably
Tmax−0.15δT≦T0≦Tmax+0.15δT,
That is, the temperature T0 lies within 0.5 δT above and 0.5 δT below Tmax.
δT denotes a temperature variation on the surface. Normally the optical component is heated in operation to different temperatures dependent from the location on the surface. For example if one looks at the surface of a mirror as an optical component normally the center of the mirror is heated to a higher temperature than the margin of the mirror. If for example the temperature on the surface in the center is the maximum temperature Tmax=30° C. and the temperature at the margin of the mirror under operation is the minimum temperature Tmin=27° C. than from this example one can derive δT=(30° C.−27° C.)=3° C. for such a mirror. δT=3° C. correspond to a δT=3K, where K is temperature in Kelvin. Thus, δT can be calculated for all optical components if one knows the maximum and the minimum temperature that occurs on the surface when radiation impinges thereon.
If as shown above the maximum temperature on the mirror surface corresponds to 30° C. in the center of the mirror surface, and the minimum temperature corresponds to 24° C. e.g. at the margin of the mirror, then in a preferred embodiment the following applies for the expression “corresponds approximately to the maximum temperature”:
Tmax−3K≦To≦Tmax+3K,
preferably:
Tmax−2K≦To≦Tmax+2K
and most preferably:
Tmax−1K≦To≦Tmax+1K
If the material of the mirror, and in particular the substrate material, is chosen as described above, then it is no longer necessary to provide complex cooling as in the state of the art (e.g. EP 0 955 565) in order to keep aberrations at a low level as a result of the heating of the optical component by the introduced energy.
A material (and in particular a substrate material) is preferably used with an approximately linear temperature dependence α(T)=m·(T−T0) of the temperature-dependent coefficient of thermal expansion in a temperature range close to the temperature T0. Here m designates the gradient of the temperature-dependent coefficient of thermal expansion.
Substrate materials with such a temperature-dependent coefficient of thermal expansion are for example glass ceramic materials or Ti-doped quartz glasses. Glass ceramic materials or Ti-doped quartz glass as substrate material have the advantage that layer systems without an amorphous intermediate layer can be applied on this substrate material in contrast to metallic substrate materials. A further advantage of such substrate materials is the low thermal expansion.
The temperature-dependent coefficient of thermal expansion depending on the temperature and the possibility to influence the same by changing the material properties is described for Ti-doped quartz glass in “Ultra low expansion glasses and their structure in the SiO2—TiO2-System” of P. C. Schultz, H. T. Smyth, Amorphous Materials, September 1970, pages 453-461 and U.S. Pat. No. 2,326,056. The scope of disclosure of these publications is fully included in the scope of disclosure of the present application.
As is known from these publications, the temperature-dependent coefficient of thermal expansion α(T) changes its sign when the temperatures for such materials increases between approximately 20° C. to 70° C., which is of interest for EUV lithography.
This behavior differs in other temperature intervals. In some intervals, even the gradient can change sign.
“Ultra low expansion glasses and their structure in the SiO2—TiO2-System” of P. C. Schultz, H. T. Smyth, Amorphous Materials, September 1970, pages 453-461 defines the temperature-dependent coefficient of thermal expansion as the change in the longitudinal expansion of a body ΔL relative to a reference length L at a temperature T, with the temperature T=25° C. The dependence α(T)=∂ΔL/∂L thus applies.
The temperature-dependent coefficient of thermal expansion thus has, at a temperature T0, a value α(T0)=0, a so-called zero-expansion point or a zero crossing point. The temperature T0 of the zero-crossing point is dependent upon the TiO2 content.
The temperature-dependent coefficient of thermal expansion α(T) of glass ceramic materials shows for certain compositions a change of sign from positive to negative for increasing temperatures in the temperature range of 20° C. to 70° C., which means that this material also shows at a temperature T0, a value α(T0)=0. This point is known as the so-called zero-expansion point or zero crossing point.
This behavior is the result of the fact that the glass ceramic materials comprise microcrystallites with negative thermal expansion which are embedded in an amorphous material with positive thermal expansion. The negative thermal expansion of the crystallites offsets the positive thermal expansion of the glass at the temperature T0 at the zero-crossing point and vice-versa.
As a result of the roughness values of the glass ceramic materials or the TiO2-doped glass, a layer system can be structured directly on the surface of such a glass or such a glass ceramic material, which system comprises a plurality of layers which form a multiple-layer system for a normal-incidence mirror. It is similarly possible to apply a coating for a grazing-incidence EUV mirror on a glass ceramic material or a glass as a substrate material. An intermediate layer which is applied between the substrate material and the coating as described in EP 0955565 for achieving the optical surface quality is not necessary.
In addition to the optical component, the invention also provides an illumination system and a projection objective and a projection exposure system that includes at least one such optical component.
The invention is now explained in closer detail by reference to the figures, wherein:
a is a graph of coefficient of thermal expansion α(T) as a function of temperature (T) for a TiO2-doped glass in a temperature range of approx. 20° C. to 70° C., which is of interest for EUV lithography;
b is a graph of coefficient of thermal expansion α(T) as a function of temperature (T) for a glass ceramic material in a temperature range of 20° C. to 70° C.;
c is a graph of coefficient of thermal expansion α(T) as a function of temperature (T) for a material in which a derivative of the function α(T), i.e., dα(T)/dT, changes sign in a temperature range of 20° C. to 70° C.
a and 2b show a deformation of a mirror surface of a mirror substrate for the first mirror of the microlithography projection objective with six mirrors according to
c and 2d show a deformation of a mirror surface of a mirror substrate for the second mirror of the microlithography projection objective with six mirrors according to
A temperature-dependent coefficient of thermal expansion of a substrate material is a temperature-dependent function α(T).
There are several possibilities for the function of α(T) for materials that are used in optical components They are shown in
a is a graph of coefficient of thermal expansion α(T) as a function of temperature (T) for a TiO2-doped glass in a temperature range of approx. 20° C. to 70° C., which is of interest for EUV lithography. With a rising temperature, the temperature-dependent coefficient of thermal expansion takes on a value of zero at some point, and so, its sign changes from negative to positive. The temperature-dependent coefficient of thermal expansion thus has a zero-crossing at a temperature T0. If the temperature T is higher than T0, then the temperature-dependent coefficient of thermal expansion is positive, that is, as temperature increases, the material expands. For temperatures T lower than T0 the temperature-dependent coefficient of thermal expansion is negative, that is, as temperature increases, the material contracts. In the region of the zero crossing at a temperature T0, the temperature-dependent function of the coefficient of thermal expansion can be described by the linear relationship α(T)=m·(T−T0), where m is a gradient. The gradient m lies in the region of 1.5*10−9K−2≦m≦1*10−7K−2, depending on the composition of the glass, where K is temperature in Kelvin. The decisive aspect is not the absolute value of the increase of the coefficient of thermal expansion, but the zero crossing of the coefficient of thermal expansion at a temperature T0 and the adjustability of T0 in a temperature range ΔT, for example ΔT=50 K by the material composition. Preferably, the material composition has a low increase of m=1.5*10−9K−2, for example.
b is a graph of coefficient of thermal expansion α(T) as a function of temperature (T) for a glass ceramic material in a temperature range of 20° C. to 70° C. The glass ceramic material is characterized by a reverse curve for α(T). Zerodur®, which is a trademark of Schott-Glas, Mainz, Germany, is an example of such a material. For Zerodur® the curve can be approximated by α(T)=m·(T−T0) in the region of the zero crossing. The gradient m for the material Zerodur® is negative and lies in the region of −0.5*10−9K−2≦m≦1.0*10−8K−2. Preferably, the material has a low gradient m of −1.5*10−9K−2 for example. For temperatures higher than T0 the temperature-dependent coefficient of thermal expansion is negative in the temperature range of 20° C. to 70° C., that is, given an increase in temperature, the material contracts. For temperatures T lower than T0 the temperature-dependent coefficient of thermal expansion is positive, that is, given an increase in temperature, the material expands. By suitable selection of the material composition of the glass ceramic material it is possible to displace the zero-crossing point in a temperature range of ΔT for example to ΔT=50 K.
T0 can therefore be set according to requirements. An optical component will have a minimal aberration when the zero-crossing point of the temperature-dependent coefficient of thermal expansion α(T)=0 is chosen in such a way that T0 corresponds approximately to the maximum temperature Tmax of the optical surface of the respective optical component. It is understood under “approximately the maximum temperature Tmax of the optical component” that T0 lies in the region of
Tmax−0.5·δT≦To≦Tmax+0.5·δT
preferably
Tmax−0.3·δT≦T0≦Tmax+0.3δT
most preferably
Tmax−0.15·δT≦To≦Tmax+0.15δT
wherein Tmax denotes the maximum temperature that occurs under operation conditions on the optical surface of the respective optical component, and δT denotes the temperature range within which the temperatures on the surface vary, i.e., a temperature difference between locations on the surface.
δT is given by the difference between the maximum temperature Tmax and the minimal temperature Tmin to which the optical component is heated under operating conditions, i.e.,
δT=(Tmax−Tmin).
In a most preferred embodiment the following applies:
Tmax−3K≦T0≦Tmax+3K,
especially of
Tmax−2K≦T0≦Tmax+2K,
especially preferably of
pi Tmax−1K≦T0≦Tmax+1K.
The zero crossing in the materials shown in
Other places of the relevant mirror surface are also heated up by the impinging radiation but due to a better heat dissipation at the edge of the mirror surface the temperatures are lower than the maximum temperature Tmax that occurs in the center of the mirror surface. The lowest temperatures Tmin to which the surface of the optical component is heated normally occurs at the edge of the optical component. As explained above, the temperature variation, δT, on the surface when the optical component is heated is then:
δT=Tmax−Tmin.
In a case of the mirror being used in a projection objective, the relevant mirror surface is the surface on which image-forming rays impinge in the projection objective and are partly reflected, and which pass through the projection objective from an object plane to an image plane, as shown in
c is a graph of coefficient of thermal expansion α(T) that attains a minimum value at a temperature T0 in a temperature range of 20° C. to 70° C. Minimum aberrations are also found in optical components fabricated of a material having a temperature-dependent coefficient of thermal expansion that attains a minimum, as shown in
Special embodiments will be outlined below.
a shows the deformation of a substrate surface for a material with a zero crossing T0=20° C. of the temperature-dependent coefficient of thermal expansion: α(T), and
The variation in the deformation occurring in the mirrors is shown in the
The peak-to-valley (PV) value for the material whose zero crossing of the temperature-dependent coefficient of thermal expansion corresponds to the maximum temperature T0=Tmax is thus significantly lower than in the material where T0 is far lower than Tmax, e.g. a temperature of T0<Tmax−10K. The aberrations as a result of such deformations caused by such heating can be reduced considerably by suitable selection of the substrate material for example with a zero crossing of the temperature-dependent coefficient of thermal expansion at the maximum mirror temperature. In the embodiment according to
c and 2d show deformations that occur as a result of the heating of the substrate surface of the second mirror of an EUV projection objective in accordance with U.S. Pat. No. 6,353,470 for example for materials with different zero crossing of the temperature-dependent coefficient of thermal expansion. The application of energy into the second mirror of a microlithography projection objective is generally lower than in the first mirror and is assumed to be 0.5 W over the entire optical surface of the substrate. If Ti-doped quartz glass is used as a basis for the substrate material, heating occurs to a maximum temperature Tmax=27.5° C. When using a substrate material with a zero crossing of the temperature-dependent coefficient of thermal expansion with T0=23° C., the PV value is 0.34 nm (
As is shown in the
The mirrors S1, S2, S3, S4, S5 and S6 are arranged as normal-incidence mirrors with a substrate material and a multiple layer system made of Mo/Si alternating layers on the substrate material. The substrate material of at least one or several mirrors S1, S2, S3, S4, S5, S6 has a temperature-dependent coefficient of thermal expansion α(T) having a zero crossing at a temperature T0 that corresponds approximately to Tmax.
Setting the zero crossing of the temperature-dependent coefficient of thermal expansion to the maximum temperature that occurs as a result of the heating of the optical component in the substrate material can also be transferred to a coating of the substrate material. Thus, the coating material should have a zero crossing set to the maximum temperature. The coating material in such a case must have (i) a temperature-dependent coefficient of thermal expansion α(T), or (ii) a derivative of α(T) with respect to temperature, i.e., dα(T)/dT, having a zero crossing or a change of sign at a temperature T0 that lies in a temperature range that is achieved maximally by the heating of the optical component.
Each of the optical components of the EUV projection exposure system, i.e., the optical components of the illumination system and the mirrors of the projection objective or even the reticle or the reflection mask, can be configured of a substrate material or also a coating whose temperature-dependent coefficient of thermal expansion α(T) or its derivative with respect to temperature dα(T)/dT has a zero crossing or a change in sign at a temperature T0, with the materials being chosen in such a way that the zero crossing of the temperature-dependent coefficient of thermal expansion α(T) or its derivation according to dα(T)/dT is chosen in such a way that the temperature T0 corresponds to the maximum temperature Tmax which occurs in the respective component as a result of heating.
The present disclosure provides for optical components, and especially mirrors for EUV projection objectives, having minimal aberrations through a respective choice of material.
Number | Date | Country | Kind |
---|---|---|---|
102 33 828.0 | Jul 2002 | DE | national |
The present application is a continuation-in-part of International Application No. PCT/EP03/07038, filed Jul. 2, 2603, which claims priority of German Application No. 102 33 828.0, filed Jul. 24, 2002.
Number | Date | Country | |
---|---|---|---|
Parent | PCT/EP03/07038 | Jul 2003 | US |
Child | 11042779 | Jan 2005 | US |