The invention relates to an imaging system, in particular a projection objective of a projection exposure apparatus used in the field of microlithography. The invention relates in particular to a projection objective which even with an off-axis image field allows the use of highly refractive crystal materials while keeping the negative effect of birefringence on image quality within limits.
In current state-of-the-art microlithography objectives, particularly in immersion objectives with a numerical aperture value (NA) of more than 1.0, there is a growing need to use materials of a high refractive index. In this context, a refractive index is considered high if, at the given wavelength, it exceeds the value for the refractive index of quartz, which has a refractive index of about 1.56 at a wavelength of 193 nm. A number of materials are known whose refractive indices at DUV- and VUV wavelengths (<250 nm) are larger than 1.6, for example magnesium spinel with a refractive index of about 1.87 at a wavelength of 193 nm, or magnesium oxide which has a refractive index of about 2.0 at 193 nm.
When using these materials as lens elements, the problem presents itself that due to their cubic crystallographic structure, they exhibit a degree of intrinsic birefringence that increases as the wavelength becomes shorter. For example, measurements of the retardation due to intrinsic birefringence in magnesium spinel at a wavelength of 193 nm produced a value of 52 nm/cm, while the retardation due to intrinsic birefringence in magnesium oxide at a wavelength of 193 nm was estimated to be about 72 nm/cm. Depending on the design-related conditions in the image field, a retardation of this magnitude can lead to lateral ray deflections that are three to five times as large as today's critical structure widths of about 80-100 nm.
As a means to reduce the negative effect on the optical image caused by intrinsic birefringence in fluoride crystal lenses, it is known for example from US 2004/0105170 A1 and WO 02/093209 A2 to arrange fluoride crystal lenses of the same crystallographic cut in rotated orientations relative to each other (a concept known as “clocking”) and, in addition, to combine several groups of such arrangements with different crystallographic cuts (for example groups of 100-lenses and groups of 111-lenses) with each other.
Although the negative effect of the intrinsic birefringence can be compensated by this method to a certain extent even in the aforementioned highly refractive cubic materials, a further problem presents itself in that the compensation achieved with the aforementioned “clocking” is incomplete in the case where the respective “compensation paths” are different (i.e., the respective path lengths which the rays that enter into interference with each other traverse in the mutually rotated parts of the same crystallographic cut). This is the case in particular in a projection objective that produces an off-axis image field. Off-axis fields of this kind are present in particular in catadioptric projection objectives with geometric beam-splitting of the type disclosed, e.g., in WO 2004/019128.
The aforementioned problem with different compensation path lengths in different materials used for the compensation of birefringence can also occur in materials with natural birefringence, for example if materials with opposite (positive/negative) signs in their birefringence are combined with each other for compensation, as described in WO 2005/059645, or with the “clocking” of materials with natural birefringence.
In certain embodiments, an imaging system, in particular a projection objective for a microlithographic projection exposure apparatus, is provided wherein the imaging system allows the use of highly refractive crystal materials even with an off-axis image field, while keeping the negative effect of birefringence on image quality within limits.
According to one aspect, an imaging system, in particular a projection objective of a microlithographic projection exposure apparatus which has an optical axis and produces an image field that is extra-axial relative to the optical axis, includes the following:
According to another aspect, an imaging system having an optical axis and being capable of producing an image field which is extra-axial relative to the optical axis is provided. The imaging system includes a first optical element which, during use of the imaging system, causes a first distribution of retardation in a plane that lies perpendicular to the optical axis. The imaging system also includes at least one second optical element which, during use of the imaging system, causes a second distribution of retardation in a plane that lies perpendicular to the optical axis. The second distribution of retardation at least partially compensates the first distribution of retardation, and the first and the second optical elements are not designed with rotational symmetry relative to the optical axis.
According a further aspect, a microlithographic projection exposure apparatus having a projection objective as described above is provided.
According to an additional aspect, a method for the microlithographic production of micro-structured components is provided. The method includes preparing a substrate on which at least one coating of a light-sensitive material is deposited, and preparing a mask which has structures of which images are to be formed. The method also includes preparing a microlithographic projection exposure apparatus as described above, and projecting at least a part of the mask onto an area of the coating by means of the projection exposure apparatus.
According to yet another aspect, a micro-structured component which is produced according to method described above is provided.
The term “retardation” means the difference between the optical path lengths of two orthogonal (i.e., mutually perpendicular) states of linear polarization.
The term “optical axis” as used in the present application means a straight line or a sequence of straight line segments that runs through the centers of curvature of the rotationally symmetric optical components.
The concept of “elements” in the sense of the present application includes the possibility that, e.g., the at least two elements are seamlessly joined to each other, specifically by the technique of wringing, so that they form one lens together.
Due to the fact that in accordance with the invention, the first and the second optical element are not of a rotationally symmetric design relative to the optical axis, i.e., by consciously giving up the principle of rotational symmetry in regard to these elements, it becomes possible to take the extra-axial position of the image field into account and in particular to create the possibility for equal compensation paths in the respective elements with the different distributions of the retardation.
In a preferred embodiment, the first optical element and the second optical element are made of a cubic crystal material, so that their respective retardations are obtained as a result of intrinsic birefringence.
In a further preferred embodiment, the first optical element and the second optical element are made of an optically uniaxial crystal material.
In a preferred embodiment, the retardation caused by the second optical element has the opposite sign of the retardation caused by the first optical element.
In a further embodiment, the first optical element and the second optical element are of the same crystallographic cut and are rotated relative to each other about the optical axis.
In a preferred embodiment, the extra-axial image field is mirror-symmetric relative to a plane of symmetry, and the first and/or the second optical element is mirror-symmetric relative to the same plane of symmetry. Preferably in this embodiment, the first and/or the second optical element have as their only symmetry a mirror-symmetry relative to the plane of symmetry.
In a preferred embodiment, the following condition is met for at least one ray that falls on the center of the image field: n1×d1≈n2×d2, wherein ni (i=1, 2) stands for the respective refractive indices and di (i=1, 2) indicates the geometrical path lengths covered by this ray in the first and the second optical element, respectively. Consequently for this particular ray, it is assured that the optical path lengths in the two partial elements (which at least partially compensate each other in regard to birefringence), in other words the compensation paths for this ray, are equal, so that the reduction of the retardation achieved thereby represents the maximum for the given combination of elements.
If the foregoing condition is met for the largest possible number of rays falling on the center of the image field, one achieves the result that for the rays falling outside of the center of the image field, a possible difference between the compensation paths will at least not be overly large. In other words, according to the invention the optimization of the compensation paths takes place for the rays that fall on the center of the image field, in order to achieve on average as good a compromise as possible in regard to obtaining compensation paths of equal length for the rays that fall outside the center of the image field.
In the ideal case, the condition n1×d1≈n2×d2 stated above is met for all of the rays that fall on the center of the image field, and in any case preferably for rays arriving from the largest possible angular range. In a preferred embodiment, the condition n1×d1≈n2×d2 is met for at least two rays falling on the center of the image field, wherein the angle between the two rays is at least 40°, preferably at least 50°, with even higher preference at least 60°, and with still higher preference at least 70°.
In a preferred embodiment the first element and the second element each have a crystallographic (111)-cut and are arranged with a rotation of 60°±k×120° (wherein k=0, 1, 2, . . . ) relative to each other about the element axis. In this way, by combining the two elements in a principally known manner, one achieves (due to the three-fold symmetry in the distribution of the retardation as a function of the azimuth angle, which applies to the case of the crystallographic 111-cut) an azimuthally symmetric distribution of the retardation as well as a reduction of the maximum values obtained for the retardation.
A preferred embodiment further contains a third and a fourth optical element, each with a crystallographic (100)-cut and arranged with a rotation about the element axis of 45°±l×90° relative to the other (wherein l=1, 2, . . . ). In this way, by combining the third and fourth optical elements, one achieves likewise (due to the four-fold symmetry in the distribution of the retardation as a function of the azimuth angle, which applies to the case of the crystallographic 100-cut) an azimuthally symmetric distribution of the retardation as well as a reduction of the maximum values obtained for the retardation. With preference, the third and fourth optical elements, too, are not configured with rotational symmetry relative to the optical axis. In a preferred embodiment, the condition n3×d3≈n4×d4 is met for at least one ray falling on the center of the image field, wherein ni (i=3, 4) stands for the respective refractive indices and di (i=3, 4) indicates the geometrical path lengths covered by this ray in the third and the fourth optical element, respectively.
In a preferred embodiment at least two, but preferably all, of these optical elements are joined by wringing in such a way that they form a lens together.
With preference, the lens has a rotationally symmetric shape in relation to the optical axis and can in particular be a planar-convex lens.
In a preferred embodiment, the lens is a last refractive lens on the image side of the imaging system.
In a preferred embodiment, each of the optical elements is shaped like a shell whose convex-curved side faces towards the object side.
In a preferred embodiment, a liquid is arranged between at least two of the optical elements, wherein the two elements and the liquid have substantially the same refractive index. In this way, the requirements on the planarity of the contact surfaces between the optical elements can be less stringent, because due to the matching refractive index of the liquid, discontinuities of the refractive index and ray path deflections associated with them can be avoided at least to a far-reaching extent. The liquid needs to be selected appropriately, depending on the refractive index of the optical elements, an example being perhydro fluorene (with n=1.6862 at 193 nm) when the refractive indices of the optical elements are in the range from about 1.6 to 1.7 at a wavelength of 193 nm.
Further preferred embodiments relate to the selection of the cubic crystal material. This selection is made preferably with the aim of a further reduction of the effect of intrinsic birefringence, and expressly allowing for the fact that even when the extra-axial image field is taken into consideration as called for by the invention, a complete compensation of the retardation can lastly not be realized, because the equality of the compensation paths can as a rule not be achieved for all of the rays.
In a preferred embodiment, the cubic crystal material has at a given working wavelength a refractive index n of such a magnitude that the difference (n-NA) between the refractive index n and the numerical aperture NA does not exceed 0.2.
This takes into consideration that the effect of intrinsic birefringence does not increase linearly as the wavelength becomes shorter, but rather begins with a gradual increase and then rises dramatically with a further decrease in the wavelength. This non-linearity is all the more pronounced, the nearer the working wavelength gets to the absorption edge (in the UV range) for the respective material. Thus, according to the preferred embodiment, the possibilities for choosing materials with the highest possible refractive indices are not fully exploited, but the refractive index is selected just as high as required (and not higher) in order to still be able to geometrically guide projection light even under the maximally occurring ray angles through the projection objective so that the rays produce an image. At the same time, according to the invention one takes advantage of the more moderate requirement on the magnitude of the refractive index in order to select a crystal material whose absorption edge lies farther in the UV range, so that as a result the intrinsic birefringence in the range of the working wavelength becomes even smaller, or has increased less strongly, than would be the case in a material whose absorption edge lies at a higher wavelength.
Under the preferred embodiment, for example with a numerical aperture of NA=1.5, one therefore consciously foregoes the option of selecting the crystal materials of the highest possible refractive indices despite the fact that materials are available which are transparent at typical working wavelengths of 193 nm and have high refractive indices of, e.g., n=1.87 (magnesium spinel). Rather, one uses materials in which the refractive index n is farther removed from the (lower) value of the image-side numerical aperture of the imaging system, but is still just sufficient in order to direct the projection light even under the maximally occurring ray angles through the imaging system so that the light rays produce an image.
Preferably, the difference (n-NA) between the refractive index n of the optical element and the numerical aperture NA of the imaging system is in the range from 0.05 to 0.20, with higher preference in the range from 0.05 to 0.15, and with special preference in the range from 0.05 to 0.10. As stated above, due to the upper limit of the refractive index one achieves a limitation of the intrinsic birefringence, while a limit on the overall lens volume of the projection objective is achieved due to the lower limit of the refractive index.
Further criteria that should preferably be met by the materials used in accordance with the invention include adequate stability to withstand atmospheric humidity and UV light, a high degree of hardness, a material that is good to work with in optical manufacturing processes and, as much as possible, a non-toxic composition.
In a preferred embodiment the cubic crystal material includes an oxide for which a sufficient transmissivity was obtained together with a comparatively high refractive index.
In a preferred embodiment the cubic crystal material includes sapphire (Al2O3) and a potassium- or calcium oxide among its components.
In particular, the cubic crystal material preferably includes at least one material selected from the group that includes 7Al2O3.12CaO, Al2O3.K2O, Al2O3.3CaO, Al2O3.SiO2KO, Al2O3.SiO2.2K and Al2O3.3CaO6H2O.
The share of sapphire (Al2O3) in the foregoing materials causes a widening of the band gap or a shift of the absorption edge into the UV range while raising the refractive index at the same time, so that refractive index-lowering further components supplement the mixed crystal, which leads to the aforementioned lowering of the intrinsic birefringence.
In a further preferred embodiment, the cubic crystal material includes calcium, sodium and silicon oxide. In particular, the cubic crystal material preferably contains at least one material from the group that includes CaNa2SiO4 and CaNa4Si3O9.
In a further preferred embodiment, the cubic crystal material contains at least one material from the group that includes Sr(NO3)2, MgONa2O.SiO2 and Ca(NO3)2.
In a further preferred embodiment, a further optical element which is substantially planar-parallel is placed on the light exit surface of the planar-convex lens.
With this type of a component structure for the optical element, one gains the advantage of a particularly effective correction of the spherical aberration which in the case of high aperture values typically represents the largest contribution to the image aberrations that have to be dealt with. If the ray pattern is telecentric in the area of the optical element, the planar-parallel partial element provides in particular an advantageous way to achieve a correction of the spherical aberration that is uniform over the image field.
In contrast to the aforementioned composite structure made up of the first and the second optical element (particularly in the case of the planar-convex lens), if the substantially planar-parallel optical element is composed of mutually rotated portions of the same crystallographic cut, the compensation paths for the portions are substantially equal, so that insofar an effective correction of the intrinsic birefringence can occur by way of the clocking concept. Consequently, it is advantageous to consider arranging in the planar-parallel optical element a second material with a higher refractive index than the material in the first portion. In particular, this higher refractive index can also lie outside the aforementioned interval from the numerical aperture. In a preferred embodiment, the second material is therefore selected from the group consisting of magnesium spinel (MgAl2O4), yttrium aluminum garnet (Y3Al5O12), MgO and scandium aluminum garnet (Sc3Al5O12).
According to a preferred embodiment, the working wavelength is less than 250 nm, preferably less than 200 nm, and with even higher preference less than 160 nm.
According to a preferred embodiment, the imaging system is a catadioptric projection objective with at least two concave mirrors which produces at least two intermediate images.
The invention further relates to a microlithographic projection exposure apparatus, a method of producing microlithographic components, and a micro-structured component.
Further embodiments of the invention are presented in the description as well as in the subordinate claims.
The invention is explained hereinafter in more detail with reference to examples that are illustrated in the attached drawings.
In the drawings:
In a merely schematic manner,
Preferably, the imaging system is a catadioptric projection objective in which according to
The elements 110 and 120 in the illustrated example are made of cubic crystal material, preferably of the same material with the same crystallographic cut. According to a first embodiment, both elements can consist of magnesium spinel (MgAl2O4) with (111)-orientation of the crystallographic cut. However, the elements 110 and 120 are arranged with a rotation of about 60° relative to each other, so that—with equal compensation path lengths in the two elements—one achieves an azimuthally symmetric distribution of the retardation as well as a reduction of the maximum values of the retardation.
The invention is not limited to using cubic crystal materials in the elements 110, 120 (nor in the elements according to the embodiments described hereinafter). For example, the first optical element and the second optical element in a further embodiment can be made of an optically uniaxial crystal material. Suitable materials of the optically uniaxial type are for example lanthanum fluoride (LaF3), sapphire (Al2O3) or beryllium oxide (BeO), also referred to as bromellite. The materials can also be selected particularly in such a way that the retardation caused by the second optical element has the opposite sign of the retardation caused by the first optical element. For example, the first optical element can be formed of sapphire (Al2O3) with the refractive indices no=1.7681 and ne=1.7600 at λ=589.3 nm, i.e., Δn=ne−no=−0.0081, and the second optical element can be formed of beryllium oxide (bromellite, BeO) with the refractive indices no=1.7186 and ne=1.7343 at λ=589.3 nm, i.e., Δn=ne−no=+0.0157, so that the birefringence has opposite signs in the two elements, which allows a mutual compensation and a reduction of the maximum values for the retardation to be achieved.
In order to achieve at least to a large extent an agreement between the compensation path lengths, the (asymmetric) arrangement of the two elements 110, 120 according to
A further preferred embodiment will be explained with the help of
According to
The elements 210 and 220 are analogous to the elements 110 and 220 in regard to crystallographic cut and orientation. In particular, both can consist of magnesium spinel (MgAl2O4) in (111)-cut orientation arranged with a rotation of about 60° relative to each other. The elements 230 and 240, likewise, can consist for example of magnesium spinel (MgAl2O4), however in (100)-cut orientation arranged with a rotation of about 45° relative to each other.
Two rays “A” and “B” are again shown as examples. The distances traveled by the rays in the elements 210, 220, 230 and 240 in
The invention is not limited to the arrangement of the optical elements that is shown in
According to further embodiments, the refractive index of the cubic crystal material is of such a magnitude that the difference (n-NA) between the refractive index n and the numerical aperture NA of the imaging system does not exceed 0.2.
If one assumes for example a numerical aperture of NA=1.5 for the projection objective, it is therefore preferred for the refractive index n of the cubic crystalline material of the first partial element to be maximally n=1.7.
A list of materials that are particularly preferred according to the invention is presented in the following Table 1, wherein the refractive index nd at the wavelength λ=589 nm for each of the crystal materials is shown in column 2. It should be noted that the refractive index at a typical working wavelength of λ=193 nm is typically larger by about 0.1.
According to a further preferred embodiment of an optical element 300 as illustrated in
The projection objective 402 is configured as an imaging system in accordance with the present invention. In a merely schematic manner,
Even though the invention has been described through the presentation of specific embodiments, those skilled in the pertinent art will recognize numerous possibilities for variations and alternative embodiments, for example by combining and/or exchanging features of individual embodiments. Accordingly, it will be understood that such variations and alternative embodiments are considered as being included in the present invention and that the scope of the invention is limited only by the attached patent claims and their equivalents.
This application is a continuation application of and claims priority to U.S. application Ser. No. 11/492,725, filed on Jul. 25, 2006, which claims the benefit under 35 U.S.C. §119(e)(1) of U.S. Provisional Patent Application Ser. No. 60/706,883, filed Aug. 10, 2005, the contents of which are hereby incorporated by reference.
Number | Date | Country | |
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60706883 | Aug 2005 | US |
Number | Date | Country | |
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Parent | 11492725 | Jul 2006 | US |
Child | 12046809 | US |