Patent Application
20090284831
1. Field of the Invention
The invention relates to a projection objective of a microlithographic projection exposure apparatus. Such apparatus are used for the production of integrated circuits and other microstructured components. In particular, the invention relates to a projection objective having a refractive optical element that has a material related optical property, e.g. the refractive index or the birefringence, which varies over the volume of the element.
2. Description of the Prior Art
Integrated electrical circuits and other microstructured components are conventionally produced by applying a plurality of structured layers onto a suitable substrate which, for example, may be a silicon wafer. In order to structure the layers, they are first covered with a photoresist which is sensitive to light of a particular wavelength, for example 248 nm, 193 nm or 157 nm. The wafer coated in this way is subsequently exposed in a projection exposure apparatus. During the exposure, a pattern of structures on a mask is projected onto the photoresist with the aid of a projection objective. Since the imaging scale is generally less than 1, such projection objectives are often also referred to as reduction objectives.
After the photoresist has been developed, the wafer is subjected to an etching process so that the layer becomes structured according to the pattern on the mask. The photoresist still remaining is then removed from the other parts of the layer. This process is repeated until all the layers have been applied on the wafer.
One of the essential aims in the development of projection exposure apparatus is to be able to lithographically define structures with smaller and smaller dimensions on the wafer. Small structures lead to high integration densities, which generally has a favorable effect on the performance of the microstructured components produced with the aid of such apparatus.
The minimum size of the structures depends primarily on the resolution of the projection objective. Since the resolution of projection objectives is proportional to the wavelength of the projection light, one way of decreasing the resolution is to use projection light with shorter and shorter wavelengths. The shortest wavelengths currently used lie in the deep ultraviolet (DUV) spectral range and are equal to 193 nm, or occasionally even 157 nm.
Since the resolution is furthermore inversely proportional to the numerical aperture on the object side of the projection objective, another way of decreasing the resolution is based on the idea of introducing an immersion liquid with a high refractive index into an immersion space, which remains between a last optical element on the image side of the projection objective and the photoresist or another photosensitive layer to be exposed. Projection objectives which are designed for immersed operation, and which are therefore also referred to as immersion objectives, can achieve numerical apertures of more than 1, for example 1.3 or 1.4.
To date, amorphous quartz glass or calcium fluoride (CaF2) has primarily been used as a material for the last optical element on the image side of immersion objectives. At a wavelength λ=193 nm, quartz glass has a refractive index of approximately 1.56, and CaF2 has a refractive index of approximately 1.50. Since the refractive index of the last optical element on the image side limits the numerical aperture of the immersion objective, the use of materials with an even higher refractive index is being considered particularly for the last lens on the image side of the projection objective. Certain fluorides such as barium fluoride (BaF2) or lanthanum fluoride (LaF3), certain chlorides such as sodium chloride (NaCl) or potassium chloride (KCl) or certain oxides such as magnesium spinel (MgAl2O4), calcium spinel (CaAl2O4), yttrium aluminium garnet (Y3Al5O12) or magnesium excess spinel (MgO.3Al2O3) are envisaged, for example.
However, many problems still need to be resolved in respect of producing and processing such high-index optical materials. In particular the homogeneity of important optical properties of these materials—especially the refractive index, the birefringence and sometimes also the absorption and scattering—are currently still inferior to those of the amorphous and crystalline lens materials predominantly used to date. Birefringence in the last optical element on the image side is particularly important because the projection light passes through this element with a particularly wide angle spectrum.
Since it is not likely that the production and processing problems will be resolved soon, the high-index lens materials available in the near future will have optical properties which are less homogeneous and isotropic than those which have become customary for the lens materials used to date.
In high-resolution immersion objectives, however, inhomogeneous and anisotropic optical properties in the last lens on the image side can cause intolerable aberrations, so that the new high-index materials cannot readily be used.
It is therefore an object of the invention to provide a projection objective of a microlithographic projection exposure apparatus in which aberrations caused by high-index optical materials are reduced.
This object is achieved, according to one aspect of the invention, by a projection objective of a microlithographic projection exposure apparatus that has a high index refractive optical element with an index of refraction greater than 1.6 at a wavelength of 193 nm. This element has a volume and a material related optical property which varies over the volume. Variations of this optical property cause an aberration of the objective. In one embodiment, at least 4, preferably at least 6, even more preferably at least 8, optical surfaces are provided that are arranged in one continuous volume (or are distributed over a plurality of distinct volumes) which is optically conjugate with the volume of the refractive optical element. Each optical surface comprises at least one correction means, for example a surface deformation or a birefringent layer with locally varying properties, which at least partially corrects the aberration caused by the variation of the optical property.
The invention is based on the idea that a spatially inhomogeneous optical property can be corrected successfully by providing a spatially well-resolved conjugate volume, in which suitable correction means are arranged.
In order to determine the position and placement of the correction means, the refractive optical element may initially be subdivided conceptually into a large number of small volume elements. In a next step, the relevant optical property (or several optical properties) is determined for the volume element. In a further step, the place where these volume elements are imaged into another portion of the objective is determined, and an overall volume conjugate with the volume of the refractive optical element is thus determined.
If the refractive optical element is the last element on the image side, there is always at least one conjugate volume between the illumination system and the mask plane. There, however, it is possible to achieve only a limited, angle-independent correction of aberrations which are caused by inhomogeneous refractive index distributions. It is therefore preferable to have at least one intermediate image in the projection objective. In front of such an intermediate image, there is a further conjugate volume in which the correction means can be arranged. Those aberrations, which are caused by inhomogeneities of angle-dependent optical properties, can then also be corrected by the correction means.
A correction means on a correction element is then determined so that it at least partially corrects a component of an aberration which is caused by the considered volume element in the last optical element.
In general, it will not be possible to accommodate an arbitrarily large number of optical surfaces in the volume conjugate with the refractive optical element. Therefore an optimization process may be carried out, as a result of which only a few surfaces comprising correction means remain that correct the aberrations due to the inhomogeneities in the refractive optical element at least substantially.
A high-index refractive optical element is defined in this context by having a refractive index at the wavelength of λ=193 nm of more than 1.6. For refractive elements having a refractive index significantly above that value, for example greater than 1.8 or even greater than 2.0, the present invention is even more advantageous because such materials have usually even greater variations of certain optical properties that cause aberrations in the projection objective.
In many cases such a high-index refractive optical element will be the last optical element of the objective, because there it has a very advantageous effect on the numerical aperture NA of the projection objective. Usually the refractive optical element then has at least one curved surface, usually on its object side. If the objective is designed for immersion operation, during which an immersion liquid at least partially covers a photosensitive layer which is arranged in an image plane of the objective, the refractive optical element may contact the immersion liquid during the immersion operation.
If the undesired variations of the optical property are distributed over the entire volume of the refractive optical element, it may be advantageous to have conjugate surfaces arranged in the volume of the refractive index that are spaced apart, in a direction parallel to an optical axis of the objective, by less than 5 mm, preferably by less than 2.5 mm. This ensures sufficient spatial resolution so that defect in the material of the refractive optical element having dimensions in the millimeter range can be successfully addressed.
The inhomogeneous optical properties considered here comprise, but are not limited to, the refractive index, the birefringence, the degree of absorption or the amount of scattering.
In order to correct a wavefront deformation which is caused by an inhomogeneous refractive index distribution in the refractive element, at least one of the optical surfaces may comprise a correction means which is formed by a non-axis symmetric deformation of the at least one optical surface. The deformation is configured to correct a wavefront deformation associated with the aberration. Such a surface deformation may be produced by a local material application on or a material ablation from the at least one surface.
In order to correct a spatially inhomogeneous birefringence, it is necessary for the correction means to modify the state of polarization of light passing through it. To this end the correction means may comprise structures made of a birefringent material, for example layers or plates which have thicknesses varying locally over the optical surface that comprises the at least one correction means. Additionally or as an alternative, it is possible to use form-birefringent structures for the at least one correction means.
If the inhomogeneous optical property is the degree of absorption, the at least one optical surface may comprise a correction means which is formed by a portion of the at least one optical surface, or a volume adjacent to the at least one optical surface, having a locally varying transmissivity or reflectivity.
If the inhomogeneous optical property is the amount of scattering light, at least one optical surface may comprise a correction means which is formed by a portion of the at least one optical surface, or a volume adjacent to the at least one optical surface, having a locally varying scattering effect. For example, within a portion of the high-index refractive optical element the scattering may be higher than in surrounding portions. The correction means may then be formed by a surface which has its smallest scattering effect in an area which is optically conjugate with the portion within the refractive optical element where an increased scattering occurs. In total, this would achieve a compensating effect. Different degrees of scattering may be produced, for example, by providing an optical surface having a locally varying surface roughness.
If the objective has N intermediate image surface and N+1 pupil surfaces, with N=0, 1, 2, . . . , the at least 4 optical surfaces may be separated by k intermediate image surfaces and k pupil surfaces, with k=0, 1, 2, . . . , N. This ensures that light bundles passing through the conjugate volume elements are not inverted by an odd number of pupil or intermediate image planes.
The correction elements may of course comprise several different types of correction means, which can correct aberrations that are generated by inhomogeneities of several or all of the aforementioned optical properties, or even optical properties which are not explicitly mentioned here.
In principle, the optical surfaces comprising the correction means may be formed on supports that have virtually any axisymmetric shape. Nevertheless, it is particularly advantageous for one, several or all of the surfaces to be formed on plane-parallel plates. The plates may have different thicknesses and different distances from one another. Some or all of the plates may be arranged so that they are displaceable along an optical axis of the projection objective.
It is particularly favorable to form the surfaces on plane-parallel plates, because during the optical design of the immersion objective it is possible to provide just one single thick plate initially, which is divided into a plurality of individual plates during the subsequent optimization. The division into a plurality of optionally displaceable individual plates does not change the optical effect, or changes it only slightly, so that the other optical elements of the immersion objective do not need to be adapted, or need to be adapted only slightly. Furthermore, non-axisymmetric surface deformations, which are suitable for the correction of wavefront deformations, can locally be produced particularly advantageously on plane-parallel plates.
Alternatively, a plurality of thinner plates may be provided. Such plates can be displaced along the optical axis without significantly affecting the optical properties of the projection objective.
In both cases, the design of the projection objective is greatly facilitated, because it is possible to start with an initial design comprising one single thick plate, or a plurality of thinner plates, and to position the thinner plates (in the case of the thicker plate after conceptionally dividing it into two or more thinner plates) at the required axial positions without altering the initial design otherwise.
In order to allow adaptation to different operating states, for example different illumination angle distributions or different masks, one or more plates may be held in an exchange holder. Since both the illumination angle distribution and the mask usually affect the positions where the light rays pass through the refractive optical element, when changing the illumination angle distribution and/or the mask it may be expedient to employ plates whose correction means are specially adapted to the portions of the refractive optical element through which the projection light actually passes. Furthermore, the optical properties of the refractive optical element may change as a result of photoinduced degradation phenomena in the course of operating the apparatus, so that adaptation of the corrective effect may likewise be necessary.
The optical surfaces comprising the correction means do not necessarily have to be arranged adjacent to one another. In many cases it will be more advantageous to separate the surfaces by at least one lens or other optical element which does not correct the aberration.
According to another aspect of the invention, a method of designing a projection objective of a microlithographic exposure apparatus comprises the following steps:
It should be noted that the least 2 transparent plane-parallel correction plates mentioned in step a) may also be conceptionally considered as forming a single thicker plane-parallel correction plate which may be divided in two ore more individual plates as desired.
Various features and advantages of the present invention may be more readily understood with reference to the following detailed description taken in conjunction with the accompanying drawing in which:
The projection exposure apparatus 10 furthermore includes a projection objective 20 which contains a plurality of optical elements such as lenses, mirrors or filter elements. For the sake of simplicity, the projection objective 20 is shown with only three lenses L1, L2 and L3; more realistic embodiments of projection objectives are shown in
In this embodiment the support 30 is fastened on the bottom of a trough-like, open-topped container 32 which can be displaced (in a way which is not represented in detail) parallel to the image plane 28 with the aid of a displacement device. The container 32 is filled with an immersion liquid 34 so that the projection objective 20 is immersed with its last lens L3 on the image side into the immersion liquid 34 during operation of the projection exposure apparatus 10.
Via a feed line 36 and a discharge line 38, the container 32 is connected to a treatment unit 40 which (in a manner which is known per se and therefore not represented in detail) contains a circulating pump, a filter for cleaning the immersion liquid 34 and a temperature control unit. It should be understood that other setups for immersing the projection objective 20 may be used instead. For example, the immersion liquid 34 may not be contained in a container, but may be directly released on and sucked off the photosensitive layer 26, as this is known in the art as such.
Light rays which emerge from a point of the mask plane 22 converge via the aberration-affected intermediate image at a point in the image plane 28.
The last lens L3 on the image side is a plano-convex lens in the embodiment shown; other lens shapes, for example convex-concave or even plane-parallel, are of course also possible. The last lens L3 on the image side consists in this embodiment of magnesium spinel (MgAl2O4).
This is a lens material which, owing to insufficient optical homogeneity and purity, cannot yet be used in such projection objectives without the correction means proposed hereinafter. One or more optical properties of the lens L3 therefore vary—albeit slightly—over the volume of the lens L3. This optical property may, for example, be the refractive index. Inhomogeneous refractive index distributions, which are also referred to as schlieren when they have a particularly short-wave profile, in turn cause wavefront deformations for the projection light passing through. In the case of optically anisotropic materials, a refractive index may still be defined as a scalar quantity, for example as an average value between the ordinary refractive index and the extraordinary refractive index.
In the case of optically anisotropic and therefore birefringent lens materials, the birefringence tensor may furthermore be a function of the position, so that equally polarized and mutually parallel rays experience a different change in their polarization state as a function of the position where they pass through the lens L3.
It is also possible that the lens L3 is not homogeneously transparent, i.e. it has a spatially varying transmission coefficient, or that it has locally varying scattering properties.
The effect of all the inhomogeneities mentioned above is that the imaging of the mask 22 on the photosensitive layer 26 is perturbed by aberrations.
In order to correct these aberrations, a correction device 44, which comprises four correction elements 46a, 46b, 46c, 46d in this embodiment, is arranged between the lens L1 and the intermediate image plane 42. The correction elements 46a, 46b, 46c, 46d are plane-parallel transparent plates, which are preferably rendered highly antireflective for the working wavelength of the projection exposure apparatus 10. As an alternative to this, the correction elements 46a, 46b, 46c, 46d may also adjoin a liquid on one or both sides, in order to reduce undesired light reflections. Details of the structure of the correction elements 46a, 46b, 46c, 46d will be explained in more detail below with reference to
The correction elements 46a, 46b, 46c, 46d of the correction device 44 are indicated inside a volume L3′, which is conjugate with the volume of the last lens L3 on the image side.
The thickness, the placement and the design of the correction elements 46a, 46b, 46c, 46d may be determined in accordance with the following method:
First, the optical properties of the last lens L3 on the image side are measured with three-dimensional position resolution. This measurement may for example be carried out on a cylindrical lens preform, onto which the lens geometry is transferred computationally. During the subsequent production of the lens and the computational transfer of the data obtained with the aid of the preform onto the lens, particular attention is to be paid to the azimutal placement and orientation of the outer faces of the crystal. A spatial accuracy of less than 100 μm between the measurement data from the crystal, on the one hand, and the production of the lens and the replication in the computer, on the other hand, is expedient. Suitable methods for this are of the tomographic type. A review of these can be found in the book by A. C. Kak and M. Slaney entitled “Principles of Computerized Tomographic Imaging”, IEEE press, New York, 1987, which is also published on the Internet at http://www.slaney. org/pct/. A tomographic method for determining the birefringence distribution is described in an article by H. Hammer et al. entitled “Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography”, J. Opt. Soc. Am. A, vol. 22, No 2, February 2005, pages 250 to 255. The full disclose of these two publications is incorporated herein by reference.
In a next step, the volume occupied by the last lens L3 on the image side is subdivided into a multiplicity of volume elements with homogeneous optical properties, the refractive index n of the volume elements being dependent on the respective position of the volume element in the lens L3. If the material is an optically anisotropic material, then each volume element may furthermore or alternatively be assigned a refractive index ellipsoid whose spatial orientation indicates the direction of the birefringence and whose ratio of major to minor symmetry axes corresponds to the magnitude Δn of the birefringence. Each volume element may furthermore or alternatively be assigned a transmission coefficient and/or a quantity describing the scattering properties as an additional scalar quantity. In
In a further step, each volume element is assigned a conjugate volume element inside the conjugate volume L3′. For the volume element 48 in the last lens L3 on the image side in
Since the Petzval sum for the imaging may also be nonzero, plane sections in the last lens L3 may be imaged with arbitrary and even varying curvatures in the conjugate volume L3′. For this reason, the boundary of the conjugate volume element 48′ in
It is readily possible to determine the conjugate volume elements with the aid of those known simulation programs which are used in the development of complex optical systems. It is, however, to be understood that the subdivision of the last lens L3 on the image side into volume elements has been selected here only for reasons of better representation. In a computational implementation of the method described above in a computer, it is simplest for the lens L3 to be represented as a three-dimensional grid network of support points, wherein to each point a set of optical properties measured at the relevant grid positions is assigned. This three-dimensional network of support points is then transformed into the conjugate volume L3′ of the lens L3 with the aid of a transfer function, which describes the imaging of the optical elements lying in-between. A cubic grid then generally becomes a non-cubic grid of spatially blurred support points. Here, volume centroids can help to define an unambiguously correlated and distorted grid, despite aberrations of the intermediate image.
In a further step, the conjugate volume L3′ of the last lens L3 on the image side in the object space is now filled virtually with a number N of plane-parallel plates. The N plates, which may have been provided also in an initial design of the projection objective 20, may adjoin one another without gaps. By virtual surface deformations of the N plates, an attempt is now made in a computer to correct the wavefront deformations which have been caused by different refractive indices in the volume elements in the last lens L3 on the image side. In order to achieve as complete a correction as possible, the number N of the plates should initially be selected to be quite large, for example N=20 or N=50.
An analysis is now made as to which of the N plates make no great contribution to the correction. These plates may have their surfaces removed and their optical thicknesses added to neighboring plates, or they are entirely removed, which may necessitate a slight adaptation of the other optical elements of the projection objective 20.
The latter case leads to an arrangement of plate-shaped correction elements, as shown by way of example and denoted by 46a, 46b, 46c, 46d in
Instead of elements of different thickness, equally thick elements may also be arranged at different lengthwise positions along the optical axis OA. In the simplest case, all the correction elements are equally thick and are arranged at equal distances from one another.
It should be noted that, in order to be able to address variations in all portions of the last lens L3, the entire conjugate volume L3′ should be devoid of any optical elements. Only then it is possible to arrange at any arbitrary axial position a surface of a correction element. During the initial design of the projection objective 20, however, all correction plates 46a to 46d have to be taken into account in or in the vicinity of the conjugate volume L3′. Since a shift of the plane-parallel correction elements 46a to 46d along the optical axis does not alter their optical properties, the final axial positions of the correction element 46a to 46d may be determined once the variations of certain optical properties in the last lens L3 have been determined in the manner as described above.
In order to correct wavefront errors, one or both optical faces of each correction element 46a, 46b, 46c, 46d may be locally deformed, as is known as such in the art. In
If the last lens L3 on the image side is anisotropic, then, in a further optimization, the correction device 44 may be supplemented with structures by which undesired phase differences between orthogonal polarization states can be corrected. In
Also for correcting the phase difference values, a very large number M of structures that modify the polarization state of light passing through may be assumed initially. In an optimization, those structures by which only a minor improvement of the imaging properties can be achieved are then gradually removed. The optimization required for this is based not on scalar, but on vectorial calculations.
Thus, with the correction unit 44 it is possible to simultaneously achieve a scalar phase correction and also a vectorial phase difference correction in the conjugate volume 48′.
If it is (alternatively or additionally) necessary to correct aberrations which are caused by an inhomogeneous transmission coefficient in the last lens L3 on the image side, then it is possible to use reflective or refractive correction elements whose degree of transmission or reflection varies locally. The locally varying degree of transmission or reflection may in this case be accomplished by (anti-)reflective coatings.
In the correction device 144 shown in
In the correction device 244 shown in
In the embodiment shown in
The intermediate image surfaces 342-1, 342-2 and the pupil surfaces 343-1, 343-2, 343-3 may be plane; generally, however, the surfaces are regularly or irregularly curved. With regard to the intermediate image surfaces 342-1, 342-2 it should be mentioned that the images formed in these surfaces may be subject to very significant aberrations. Realistic embodiments of a projection objective having two intermediate images will be described further below with reference to
As far as the correction elements are concerned, the projection objective 320 differs from the projection objective 20 shown in
In the last optical system L306 two volume elements 348a, 348b are schematically illustrated that are arranged at different distances from the image plane 28. Since the third pupil surface 343-3 is located in close proximity to the last lens system L306, the first volume element 348a is located closer to the image plane 28, and the second volume element 348b is located closer to the third pupil surface 343-3.
The same applies to the first and second conjugate volume elements 348a′ and 348b′ which are conjugate with the first volume element 348a and the second volume element 348b, respectively. More specifically, the first conjugate volume element 348a′ is located inside the second correction element 346 which is arranged close to the second intermediate image surface 342-2. The second conjugate volume element 348b′ is contained in the first correction element 346a, which is located closer to the second pupil surface 343-2.
Thus the volume elements 348a, 348b contained in the last lens system L306 have conjugate volume elements 348a′, 348b′ that are distributed over a larger portion of the projection objective 320. This is a consequence of the large angles occurring in the last lens system L306, because this implies that different volume elements within this particular lens system differ significantly with respect to their proximity to the image plane 28 and the third pupil surface 343-3. Namely, in volume elements which are located close to the image plane 28, light bundles pass through that converge towards a small area in the image plane 28. In other volume elements located closer to the object side surface of the last lens system L306, light bundles pass through that converge to image points which are distributed over a considerably larger area.
As a matter of course, additional correction elements may be provided, or optical components contained in the optical system L304 may be used as correction element. For example, optical surfaces of such optical components may be provided with non-rotationally symmetric surface deformations, or may support (form-)birefringent layers, as it has been explained above with reference to
It should be noted that there are other conjugated volumes in the vicinity of a pupil surface which are not suitable for positioning a correction element which shall correct aberrations caused by the second volume element 448b. More specifically, conjugated volume elements have to be separated from a volume element in the last lens system L406 by k intermediate image surfaces and k pupil surfaces, with k=0, 1, 2, . . . , N and N being the total number of intermediate image surfaces. Otherwise only an inferior correction effect may be achieved, because each intermediate image surface and each pupil surface inverts the light bundle which emerges from a particular point in the mask plane 22 and converges to a conjugate point in the image plane 28. This is explained in more detail in U.S. Ser. No. 11/570,263 which corresponds to WO 2005/121899 A1 assigned to the applicant. The full disclosure of this earlier application is incorporated herein by reference. As a matter of course, the same considerations also apply to the other embodiments described above.
Volume elements 548a, 548b are schematically represented in the last lens L523 of the projection objective 520. Conjugated volume elements are denoted by 548a′ and 548b′. In this particular embodiment the two conjugated volume elements 548a′, 548b′ are separated by two lenses. Furthermore, the volume elements 548a′, 548b′ are contained not in additional correction elements, but in lenses that are required in accordance with the general design of the projection objective 520 anyway.
The projection objective 520 is designed as an immersion objective with a numerical aperture NA=1.2. This means that, during the operation of the projection exposure apparatus, the interspace between the last lens L523 and the image plane 28 is filled with an immersion liquid 534. The projection objective 520 is identical to the projection objective shown in FIG. 3 of WO 2005/111689 which is also assigned to the applicant.
The projection objective 620 has a first and a second intermediate image surface 642-1 and 642-2, respectively, and a first, a second and a third pupil surface 643-1, 643-2 and 643-3, respectively. The second pupil surface 643-2 is formed between two concave mirrors 672, 674, which have spherical surfaces and are arranged between the first and second intermediate image surfaces 642-1, 642-2 which are located in front of the mirrors 672, 674. Immediately in front of the mirrors 672, 674 negative meniscus lenses L610, L611 are positioned which are designed as truncated lens elements arranged only at the side of the optical axis OA of the projection objective 620 where the adjacent mirror 672 and 674, respectively, is positioned. Therefore the projection light passes each meniscus lens L610, L611 twice.
The projection objective 620 is designed as an immersion objective with a numerical aperture NA=1.2. This means that, during the operation of the projection exposure apparatus, the interspace between the last lens and the image plane 28 is filled with an immersion liquid 634.
With the exception of the last lens L620 all lenses are made of quartz glass. The last lens L620 is made of a [111] CaF2 crystal. Here it is assumed again that this crystal has been grown in a cheap process so that it displays various crystal imperfections resulting in inhomogeneous material-related optical properties.
Conjugated volume elements 648a′ and 648b′ which are conjugate to volume elements 648a, 648b contained in the last lens L620 are contained in the truncated meniscus lens L611 and the lens L607, respectively. The overall configuration is thus similar to the projection objective 420 which has been described above with reference to
In the following a very straightforward way to determine conjugated planes will be explained in more detail with reference to
The last lens L707 intersects a plane 770 indicated in broken lines. The projection objective 720 contains only one plane 770′ which is optically conjugate with the plane 770. The precise axial position of this conjugate plane 770′, which is arranged between the first pupil surface 743-1 and the intermediate image surface 742, may be determined pursuant a certain algorithm. This algorithm makes use of two specific rays, namely a marginal ray 772 and a principal ray 774. The marginal 772 is a ray which emerges from a point where the optical axis OA of the projection objective 720 intersects the mask plane 22. The principal ray 774 emerges from a point on the border of the field in the mask plane 22. The larger the field which can be imaged is, the further away from the optical axis OA is the point where the principal ray 774 emerges.
According to the algorithm mentioned above, the distances Dm and Dp between the optical axis OA on the one hand and the marginal ray 772 and the principal ray 774, respectively, on the other hand are determined at the axial position of the plane 770. Then the ratio R=Dm/Dp is computed. Any plane conjugate with the plane 770 is characterized in that at its axial position the corresponding ratio R′=Dm′/Dp′ is identical (i.e. R=R′). In the projection objective 720 this is true for the conjugate plane 770′.
Since the projection objective 720 has only one intermediate image plane, there is only one conjugate plane for each plane intersecting the last lens L707. Consequently, there is only one continuous volume which is conjugate with the volume of the last lens L707. The axial extension of this conjugate volume is determined by the distance of planes which are conjugate with planes that intersect the vertices of the last lens L707. By repeating this algorithm for a plurality of planes intersecting the last lens L707, it is possible to axially resolve the volume of the last lens L707 with regard to the optical conjugation.
More information relating to the concept of conjugate planes and the constant ratio R may be gleaned from an essay E. Delano entitled: “First-order Design and the y, Diagram”, Applied Optics, 1963, vol. 2, no. 12, pages 1251-1256.
The above algorithm is, strictly speaking, only valid in the paraxial regime. Outside this regime, planes have only conjugated (generally curved) blurred surfaces, as it has been described further above.
The above description of the preferred embodiments has been given by way of example. From the disclosure given, those skilled in the art will not only understand the present invention and its attendant advantages, but will also find apparent various changes and modifications to the structures and methods disclosed. The applicant seeks, therefore, to cover all such changes and modifications as fall within the spirit and scope of the invention, as defined by the appended claims, and equivalents thereof.
This application claims benefit of US provisional application Ser. No. 60/814,385 filed Jun. 16, 2006. The full disclosure of this earlier application is incorporated herein by reference.
| Number | Date | Country | |
|---|---|---|---|
| 60814385 | Jun 2006 | US |
| Number | Date | Country | |
|---|---|---|---|
| Parent | PCT/EP2007/005297 | Jun 2007 | US |
| Child | 12330980 | US |
