Ultraviolet polarization beam splitter with minimum apodization

BACKGROUND OF THE INVENTION

[0001] 1. Field of the Invention

[0002] The present invention pertains to optics, and in particular, to beam splitters used in microlithography.

[0003] 2. Related Art

[0004] Photolithography (also called microlithography) is a semiconductor fabrication technology. Photolithography uses ultraviolet or visible light to generate fine patterns in a semiconductor device design. Many types of semiconductor devices, such as, diodes, transistors, and integrated circuits, can be fabricated using photolithographic techniques. Exposure systems or tools are used to carryout photolithographic techniques, such as etching, in semiconductor fabrication. An exposure system can include a light source, reticle, optical reduction system, and a wafer alignment stage. An image of a semiconductor pattern is printed or fabricated on the reticle (also called a mask). A light source illuminates the reticle to generate an image of the particular reticle pattern. An optical reduction system is used to pass a high-quality image of the reticle pattern to a wafer. See, Nonogaki et al., Microlithography Fundamentals in Semiconductor Devices and Fabrication Technology, Marcel Dekker, Inc., New York, N.Y. (1998), incorporated in its entirety herein by reference.

[0005] Integrated circuit designs are becoming increasingly complex. The number of components and integration density of components in layouts is increasing. Demand for an ever-decreasing minimum feature size is high. The minimum feature size (also called line width) refers to the smallest dimension of a semiconductor feature that can be fabricated within acceptable tolerances. As a result, it is increasingly important that photolithographic systems and techniques provide a higher resolution.

[0006] One approach to improve resolution is to shorten the wavelength of light used in fabrication. Increasing the numerical aperture (NA) of the optical reduction system also improves resolution. Indeed, commercial exposure systems have been developed with decreasing wavelengths of light and increasing NA.

[0007] Catadioptric optical reduction systems include a mirror that reflects the imaging light after it passes through the reticle onto a wafer. A beam splitter cube is used in the optical path of the system. A conventional beam splitter cube, however, transmits about 50% of input light and reflects about 50% of the input light. Thus, depending upon the particular configuration of optical paths, significant light loss can occur at the beam splitter.

[0008] In UV photolithography, however, it is important to maintain a high light transmissivity through an optical reduction system with little or no loss. Exposure time and the overall semiconductor fabrication time depends upon the intensity or magnitude of light output onto the wafer. To reduce light loss at the beam splitter, a polarizing beam splitter and quarter-wave plates are used.

[0009] Generally, polarizing beam splitters are designed for maximum optical throughput, but without a particular attention to the apodization they impose on the pupil of the projection optics. In optical systems having low numerical apertures (i.e., on numerical apertures corresponding to a lower range of operating angles at the beam splitter coating), this is not a significant problem, since the natural bandwidth of the coating is typically large enough to cover the requirements. However, at higher numerical apertures, the coating designs become more complex, and result in an increase in undesirable performance fluctuations over the angular range of operation.

[0010] Accordingly, what is needed is a beamsplitter with a relatively flat apodization function over a wide angular range that is usable in UV photolithography.

SUMMARY OF THE INVENTION

[0011] The present invention embodies a technique for providing a beam splitter with a relatively flat apodization function.

[0012] In an embodiment of the present invention, a beam splitter is provided whose product of the P transmittance and S transmittance is relatively flat.

[0013] In another embodiment of the present invention, a beam splitter is provided having the above characteristics that is usable for ultraviolet and deep ultraviolet photo lithographic applications.

[0014] In one aspect of the invention, there is provided a beamsplitter including a first fluoride prism and a second fluoride prism. A coating interface is between the first and second fluoride prisms, wherein an overall R(s)*T(p) function of the beamsplitter varies no more than ±2.74% in the range of 40-50 degrees of incidence.

[0015] Additional features and advantages of the invention will be set forth in the description which follows, and in part will be apparent from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.

[0016] To achieve these and other advantages and in accordance with the purpose of the present invention, as embodied and broadly described, there is provided a

BRIEF DESCRIPTION OF THE FIGURES

[0017] The accompanying drawings, which are incorporated herein and form a part of the specification, illustrate the present invention and, together with the description, further serve to explain the principles of the invention and to enable a person skilled in the pertinent art to make and use the invention. In the drawings:

[0018]
FIG. 1A is a perspective view of a conventional polarizing beam splitter cube;

[0019]
FIG. 1B is a diagram showing a cross-section of a conventional coating interface for the polarizing beam splitter cube of FIG. 1A;

[0020]
FIG. 2A illustrates how the polarizing beam splitter cube of FIG. 1A separates light into separate polarization states;

[0021]
FIG. 2B illustrates how the polarizing beam splitter cube of FIG. 1A can be used as part of a catadioptric optical reduction system to improve transmission efficiency;

[0022]
FIG. 3A is a perspective view of a UV polarizing beam splitter cube according to one embodiment of the present invention;

[0023]
FIG. 3B is a diagram showing a cross-section of a coating interface for the UV polarizing beam splitter cube of FIG. 3A; and

[0024]
FIGS. 4-8 illustrate exemplary beamsplitter transmission performance according to the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0025] The present invention will now be described with reference to the accompanying drawings. In the drawings, like reference numbers indicate identical or functionally similar elements. Additionally, the left-most digit(s) of a reference number identifies the drawing in which the reference number first appears.

[0026] While the present invention is described herein with reference to illustrative embodiments for particular applications, it should be understood that the invention is not limited thereto. Those skilled in the art with access to the teachings provided herein will recognize additional modifications, applications, and embodiments within the scope thereof and additional fields in which the present invention would be of significant utility.

[0027] Terminology

[0028] The terms “beam splitter” or “cube” used with respect to the present invention have a broad meaning that refers to a beam splitter that includes, but is not limited to, a beam splitter having an overall cubic shape, rectangular cubic shape, or truncated cubic shape, or approximating an overall cubic shape, rectangular cubic shape, or truncated cubic shape.

[0029] The term “long conjugate end” refers to a plane at the object or reticle end of an optical reduction system.

[0030] The term “short conjugate end” refers to the plane at the image or wafer end of an optical reduction system.

[0031] The term “wafer” refers to the base material in semiconductor manufacturing, which goes through a series of photomasking, etching and/or implementation steps.

[0032] The term “wave plate” refers to retardation plates or phase shifters made from materials which exhibit birefringence.

[0033]
FIGS. 1A and 1B illustrate an example conventional polarizing beam splitter cube 100 used in a conventional catadioptric optical reduction system. Polarizing beam splitter cuber 100 includes two prisms 110, 150, and a coating interface 120. Prisms 120, 150 are made of fused silica and are transmissive at wavelengths of 248 nm and 193 nm. Coating interface 120 is a multi-layer stack. The multi-layer stack includes alternating thin film layers. The alternating thin film layers are made of thin films having relatively high and low indices of refraction (n1 and n2). The alternating thin film layers and their respective indices of refraction are selected such that the MacNeille condition (also called Brewster condition) is satisfied. In one example, the high index of refraction thin film material is an aluminum oxide. The low index of refraction material is aluminum fluoride. A protective layer may be added during the fabrication of the stack. Cement or glue is included to attach one of the alternating layers to a prism 150 at face 152 or to attach the protective layer to prism 110 at face 112.

[0034] As shown in FIG. 2A, the MacNeille condition (as described in U.S. Pat. No. 2,403,731) is a condition at which light 200 incident upon the multi-layer stack is separated into two beams 260, 280 having different polarization states. For example, output beam 260 is an S-polarized beam, and output beam 280 is a P-polarized beam (or polarized at 90 degrees with respect to each other). FIG. 2B shows the advantage of using a polarizing beam splitter in a catadioptric optical reduction system to minimize light loss. Incident light 200 (usually having S and P polarization states) passes through a quarter-wave plate 210. Quarter wave plate 210 converts all of incident light 200 to a linearly polarized beam in an S polarization state. Beam splitter cube 100 reflects all or nearly all of the S polarization to quarter wave plate 220 and mirror 225. Quarter wave plate 220 when doubled passed acts like a half-waveplate. Quarter wave plate 220 converts the S polarization light to circular polarization, and after reflection from mirror 225, converts light into P-polarized light. The P-polarized light is transmitted by beam splitter cube 100 and output as a P-polarized beam 290 toward the wafer. In this way, the polarizing beam splitter 100 and quarter wave plates 210, 220 avoid light loss in a catadioptric optical reduction system that includes a mirror 225. Note, as an alternative, mirror 225 and quarter wave plate 220 can be positioned at face B of cube 100, rather than at face A, and still achieve the same complete or nearly complete light transmission over a compact optical path length.

[0035] The invention, which will be further described below, can be used in catadioptric photolithography systems. It can be used in any polarizing beamsplitter system in which the beamsplitter is used over a range of angles and in which the light passes through the beamsplitter twice at orthogonal polarizations.

[0036] Typical polarizing beamsplitters, as described above with reference to FIGS. 1A-2B, are designed for maximum optical throughput but without particular attention to the apodization they impose on the pupil of the projection optics. This is not a significant problem in systems with low numerical apertures (i.e., a lower range of operating angles at the beamsplitter coating), where the natural bandwidth of the coating was large enough to cover the requirement. At higher numerical apertures, coating designs become more complex, with a resultant increase in undesirable performance fluctuations over the angular range of operation.

[0037] In the beamsplitter of the present invention, light passes through the beamsplitter twice, first in S polarization and then again in P polarization. The two performance curves (S and P as functions of angle) multiplied together determine the overall apodization function that the coating introduces into the system pupil. Previous efforts to design coatings with lower pupil apodization focused on flattening the S and P performance curves individually. In the design of the beamsplitter coating it is relatively easy to effect changes in the performance for the S polarization, and more difficult to effect changes in the P polarization performance. If the beamsplitter is doubled-passed in the system, P polarization performance variations can be compensated for by a coating whose S polarization performance has the opposite “signature.” When the two functions R(s) and T(p) are multiplied together, they produce an apodization function R(s)*T(p) that is relatively flat.

[0038] To achieve a relatively flat R(s)*T(p) function, the present invention provides a ultraviolet (UV) polarizing beam splitter. The UV polarizing beam splitter is transmissive to light at wavelengths equal to or less than 200 nm, for example, at 193 nm or 157 nm. The UV polarizing beam splitter can image at high quality light incident over a wide range of reflectance and transmittance angles. The UV polarizing beam splitter can accommodate divergent light in an optical reduction system having a numeric aperture at a wafer plane greater than 0.6, and for example at 0.75. In different embodiments, the UV polarizing beam splitter can have a cubic, rectangular cubic, or truncated cubic shape, or approximates a cubic, rectangular cubic, or truncated cubic shape.

[0039] In one embodiment, a UV polarizing beam splitter cube comprises a pair of prisms and a coating interface. The prisms are made of at least a fluoride material, such as, calcium fluoride (CaF2) or barium fluoride (BaF2). The coating interface has a plurality of layers of a thin film fluoride material. In one example implementation, the coating interface includes a multi-layer stack of alternating layers of thin film fluoride materials. The alternating layers of thin film fluoride materials comprise first and second fluoride materials. The first and second fluoride materials have respective first and second refractive indices. The first refractive index is greater than (or higher than) the second refractive index. In one feature of the present invention, the first and second refractive indices form a stack of fluoride materials having relatively high and low refractive indices of refraction such that the coating interface separates UV light (including light at wavelengths less than 200 nm, for example, at 193 nm or 157 nm) depending on two polarized states.

[0040] In one example, to achieve a relatively flat R(s)*T(p) function, the coating interface comprises a multi-layer design of the form (H L)n H or (H L)n, where H indicates a layer of a first fluoride material having a relatively high refractive index. The first fluoride material can include, but is not limited to, gadolinium tri-fluoride (GdF3), lanthanum tri-fluoride (LaF3), samarium fluoride (SmF3), europium fluoride (EuF3), terbium fluoride (TbF3), dysprosium fluoride (DyF3), holmium fluoride (HoF3), erbium fluoride (ErF3), thulium fluoride (TmF3), ytterbium fluoride (YbF3), lutetium fluoride (LuF3), zirconium fluoride (ZrF4), hafnium fluoride (HfF4), yttrium fluoride (YF3), neodymium fluoride (NdF3), any of the other lanthanide series tri-fluorides, metallic fluorides, or other high index, ultraviolet transparent material. L indicates a layer of a second fluoride material having a relatively low refractive index. The second fluoride material can include, but is not limited to, magnesium fluoride (MgF2), aluminum tri-fluoride (AlF3), barium fluoride (BaF2), strontium fluoride (SrF2), calcium fluoride (CaF2), lithium fluoride (LiF), and sodium fluoride (NaF), or other low index, ultraviolet transparent material. The value “n” indicates the basic (H L) group is repeated n times in a multi-layer stack, where n is a whole number equal to one or more.

[0041] According to a further feature, the prisms and coating interface are joined by optical contact. No cement is needed, although its use is not precluded.

[0042] Further multi-layer designs can be generated by computer iterated design. Layers in a multi-layer stack can also be graded across the hypotenuse face of a prism to adjust layer thicknesses at any point so as to compensate for changes in the incidence angle of the light.

[0043] The present invention provides a method for splitting an incident light beam based on polarization state. The method includes the step of orienting a coating interface having a plurality of layers of a fluoride material at an angle relative to the incident light such that the coating interface transmits incident light in a first polarization state and reflects incident light in a second polarization state. In one example, the method further includes the step of selecting thicknesses of alternating thin film layers and their respective indices of refraction such that the coating interface transmits incident light at a wavelength equal to or less than 200 nm in a first polarization state and reflects incident light at a wavelength equal to or less than 200 nm in a second polarization state.

[0044] UV Polarizing Beam Splitter

[0045]
FIG. 3A is a perspective view of a UV polarizing beam splitter cube 300 according to one embodiment of the present invention. UV polarizing beam splitter cube 300 has a pair of prisms 310, 350 and a coating interface 320. Prisms 310,350 are preferably made of a fluoride material. Coating interface 320 has a plurality of layers of a thin film fluoride material.

[0046] In the example shown in FIG. 3A, prism 310 is a right angle prism having five faces. These five faces consist of two side faces, two end faces, and a hypotenuse face. The two side faces are square (or approximately square) at their perimeter and share right angle corners 314 and 316. One side face B is shown in FIG. 3A, the other side face is not shown. The two end faces are both right triangles. One end face A, shown in FIG. 3A, is a right triangle at its perimeter formed by a ninety degree (or approximately ninety degree) angle at corner 314 and two 45 degree (or approximately 45 degree) angles opposite corner 314. The other end face (not shown) is the right triangle formed by a ninety degree (or approximately ninety degree) angle at corner 316 and two 45 degree (or approximately 45 degree) angles opposite corner 316. The hypotenuse face is a planar face 312 which is on a hypotenuse side of right angle prism 310 opposite right angle corners 314, 316.

[0047] Prism 350 is also a right angle prism having five faces. These five faces consist of two side faces, two end faces, and a hypotenuse face. The two side faces are square (or approximately square) at their perimeter and share right angle corners 354 and 356. One side face D is shown in FIG. 3A, the other side face is not shown. The two end faces are both right triangles. One end face C, shown in FIG. 3A, is a right triangle at its perimeter formed by a ninety degree (or approximately ninety degree) angle at corner 354 and two 45 degree (or approximately 45 degree) angles opposite corner 354. The other end face (not shown) is the right triangle formed by a ninety degree (or approximately ninety degree) angle at corner 356 and two 45 degree (or approximately 45 degree) angles opposite corner 356. The hypotenuse face is a planar face 352 which is on a hypotenuse side of right angle prism 350 opposite right angle corners 354, 356. Coating interface 320 lies between hypotenuse faces 312 and 352.

[0048] UV polarizing beam splitter cube 300 has width, depth, and height dimensions equal to values d1, d2, and d3 respectively, as shown in FIG. 3A. In one example implementation, d1, d2, and d3 are equal (or approximately equal) such that prisms 310 and 350 when coupled along their faces 312 and 352 have an overall cube or cube-like shape. In one example implementation, prisms 310, 350 are made of calcium fluoride (CaF2) material, barium fluoride (BaF2) material, or a combination thereof.

[0049] Coating Interface

[0050]
FIG. 3B is a diagram showing a cross-section of an example coating interface 320, used to achieve a relatively flat R(s)*T(p) function, in greater detail. Coating interface 320 includes a stack of alternating layers of thin film fluoride materials (331-337, 341-346), and a protective layer 351. Anti-reflection (AR) coatings (not shown) can also be included in coating interface 320. Protective layer 351 and AR coatings are optional. Also, the present invention in not limited to thirteen layers of alternating layers of thin film fluoride materials. In general, larger and smaller numbers of alternating layers of thin film fluoride materials can be used as would be apparent to a person skilled in the art given this description.

[0051] Further, FIG. 3B shows the coating interface 320 mounted on face 352 of prism 350. The stack of alternating layers of thin film fluoride materials (331-337, 341-346) and/or protective layer 351 are grown, etched, or fabricated on face 352 using conventional thin film techniques. Prism 310 is then placed in optical contact with the coating interface 320. In this way, prisms 310 and 350 are coupled strongly through coating interface 320 resulting in a very strong polarizing beam splitter cube. One further feature of the present invention is that it applies this optical contact (where optical components are joined so closely together that van der Waal's forces couple the components to one another) in a complex geometry involving angled surfaces, such as, the hypotenuse face of prism 310.

[0052] The alternating layers of thin film fluoride materials include two groups of layers. The first group of layers 331-337 has a first index of refraction n1. The second group of layers 341-346 has a second index of refraction n2. According to one feature of the present invention, the first and second refractive indices n1 and n2 are different. In particular, the second refractive index n2 is relatively low compared to the first refractive index n1. In this way, coating interface 320 includes a stack of fluoride materials 331-337, 341-346 having alternating relatively high and low refractive indices n1, n2 such that the coating interface 320 separates incident UV light based on two different polarization states, such as S and P polarization states. According to the present invention, polarizing beam splitter cube 300 can be used with light at wavelengths equal to or less than 200 nm, and in particular, at 193 or 157.6 nm, for example.

[0053] As noted above, to achieve a relatively flat R(s)*T(p) function, the coating interface 320 comprises a multi-layer design of the form (H L)n H or (H L)n, where H indicates a layer of a first fluoride material having relatively high refractive index. The first fluoride material can include, but is not limited to, gadolinium tri-fluoride (GdF3), lanthanum tri-fluoride (LaF3), samarium fluoride (SmF3), europium fluoride (EuF3), terbium fluoride (TbF3), dysprosium fluoride (DyF3), holmium fluoride (HoF3), erbium fluoride (ErF3), thulium fluoride (TmF3), ytterbium fluoride (YbF3), lutetium fluoride (LuF3), zirconium fluoride (ZrF4), hafnium fluoride (HfF4), yttrium fluoride (YF3), neodymium fluoride (NdF3), any of the other lanthanide series tri-fluorides, metallic fluorides, or other high index, ultraviolet-transparent material. L indicates a layer of a second fluoride material having relatively low refractive index. The second fluoride material can include, but is not limited to, magnesium fluoride (MgF2), aluminum tri-fluoride (AlF3), barium fluoride (BaF2), strontium fluoride (SrF2), calcium fluoride (CaF2), lithium fluoride (LiF), and sodium fluoride (NaF), or other low index, ultraviolet transparent material. The superscript value “n” indicates the basic (H L) group is repeated n times in a multi-layer stack, where n is a whole number equal to one or more.

[0054] Other designs for a multi-layer coating interface 320, 520 can be generated through a computer iterated technique as would be apparent to a person skilled in the art given this description.

[0055] The examples below are illustrative of how a flat overall R(s)*T(p) function can be achieved using a number of alternating coating layers.

BEAMSPLITTER EXAMPLE 1

[0056] The table below illustrates one example of a coating interface 320 for 157.6 nm that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 27 alternating layers (n=13) of MgF2 and LaF3. This example provides a relatively flat R(s)*T(p) function between 35 and 55 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum of 70.85 to a minimum of 65.37, or a delta of 5.48% (±2.74%).

1TABLE 1MechanicalOptical ThicknessLayerThicknessLayer Index(quarter-waves atNumberMaterial(nm)(at 157.6 nm)157.6 nm)exit mediumCaF2massive 1MgF237.141.4651.381 2LaF39.181.780.415 3MgF236.581.4651.360 4LaF316.111.780.728 5MgF245.681.4651.699 6LaF38.921.780.403 7MgF242.921.4651.596 8LaF322.201.781.003 9MgF232.031.4651.19110LaF319.821.780.89511MgF230.101.4651.11912LaF324.301.781.09813MgF231.561.4651.17314LaF325.911.781.17115MgF230.781.4651.14416LaF324.271.781.09617MgF228.511.4651.06018LaF323.461.781.06019MgF231.521.4651.17220LaF327.371.781.23721MgF235.971.4651.33722LaF329.891.781.35023MgF239.211.4651.45824LaF330.971.781.39925MgF242.481.4651.58026LaF330.311.781.36927MgF231.331.4651.165entranceCaF2massivemedium

[0057] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 4 in graphical form, and are illustrated in the Table 2 below in tabular form:

2TABLE 2Wavelength 157.6 nmRange 35-55 degreesSubstrate CaF2H LaF3L MgF2angleT(p)R(s)R(s) * T(p)30.041.6784.8135.3430.544.7584.7837.9431.047.9484.9340.7131.551.2385.2143.6532.054.6285.6046.7532.558.1086.0349.9833.061.6686.4553.3033.565.2486.7956.6234.068.7787.0259.8434.572.1387.0862.8235.075.1886.9665.3735.577.7786.6067.3536.079.8385.9868.6436.581.3385.0769.1937.082.3583.8969.0837.583.0082.4868.4638.083.4581.0267.6038.583.8579.7266.8439.084.3378.8366.4739.584.9478.4766.6540.085.7278.5767.3540.586.6178.9168.3541.087.5779.2569.3941.588.5179.3870.2642.089.3779.1970.7842.590.1178.6370.8543.090.7177.6970.4843.591.1876.4969.7444.091.5275.2368.8544.591.7774.1968.0845.091.9473.6867.7445.592.0573.8067.9346.092.1074.4268.5446.592.0975.2669.3147.092.0076.0269.9447.591.8276.4970.2348.091.5176.5970.0948.591.0776.3469.5249.090.4775.8568.6349.589.7775.3567.6450.089.0275.1066.8550.588.3075.2966.4851.087.7075.9466.6051.587.2776.8667.0852.087.0077.8067.6952.586.8478.5368.1953.086.7278.8868.4053.586.5978.8168.2454.086.4878.3167.7254.586.4877.4366.9655.086.7276.2466.1155.587.2974.8065.3056.088.1373.1364.4556.588.9571.1063.2457.089.2668.3861.0457.588.5464.4457.0658.086.6158.4650.6358.583.7849.3941.3859.080.8136.5229.5259.578.6021.8517.1760.077.8213.5210.5260.578.7919.2815.1961.081.3133.4627.2061.584.4646.3339.1362.086.5454.5447.1962.585.7658.2849.9863.081.7158.1047.4763.575.8453.9240.9064.070.3244.8631.5564.566.7229.8519.9265.065.7811.207.37

BEAMSPLITTER EXAMPLE 2

[0058] Table 3 below illustrates another example of a coating interface 320 for 157.6 nm that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 29 alternating layers (n=14) of MgF2 and LaF3. This example provides a relatively flat R(s)*T(p) function between 35 and 55 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum of 67.9% to a minimum of 66.15%, or a delta of 1.74% (±0.87%).

3TABLE 3MechanicalOptical ThicknessLayerThicknessLayer Index(quarter-waves atNumberMaterial(nm)(at 157.6 nm)157.6 nm)exit mediumCaF2massive 1MgF236.501.4651.357 2LaF37.941.780.359 3MgF236.321.4651.350 4LaF316.761.780.757 5MgF238.911.4651.447 6LaF314.251.780.644 7MgF234.131.4651.269 8LaF322.091.780.998 9MgF232.091.4651.19310LaF323.171.781.04711MgF229.181.4651.08512LaF322.791.781.03013MgF229.331.4651.09114LaF324.781.781.12015MgF230.991.4651.15216LaF325.571.781.15517MgF230.991.4651.15218LaF323.801.781.07519MgF229.451.4651.09520LaF321.681.780.97921MgF232.531.4651.21022LaF325.531.781.15323MgF239.951.4651.48524LaF329.401.781.32825MgF244.371.4651.65026LaF328.781.781.30027MgF241.051.4651.52628LaF325.761.781.16429MgF224.851.4650.924entranceCaF2massivemedium

[0059] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 5 in graphical form, and are illustrated in the Table 2 below in tabular form:

4TABLE 4Wavelength 157.6 nmRange 35-55 degreesSubstrate CaF2H LaF3L MgF2angleT(p)R(s)R(s) * T(p)30.047.9682.4039.5230.551.5082.7342.6131.054.8983.3945.7731.558.1584.2148.9732.061.3185.0652.1532.564.3885.8355.2633.067.3686.4558.2333.570.1786.8560.9534.072.7387.0363.3034.574.9486.9665.1735.076.7586.6366.4935.578.1586.0567.2536.079.2185.2267.5036.580.0284.2067.3837.080.7383.0667.0537.581.4381.9366.7138.082.2180.9066.5138.583.1080.0766.5339.084.0879.4066.7739.585.1378.8467.1140.086.1678.2667.4340.587.1377.5867.5941.087.9976.7467.5241.588.7175.7767.2242.089.3174.7766.7842.589.8073.9066.3643.090.2273.3266.1543.590.5773.1466.2444.090.8873.3066.6144.591.1573.6567.1345.091.3973.9967.6145.591.5774.1567.9046.091.6774.0667.8946.591.6873.7267.5847.091.5873.2467.0747.591.3772.8266.5348.091.0772.6766.1848.590.7172.9366.1549.090.3273.6066.4749.589.9174.5066.9950.089.4975.4267.4950.589.0276.1667.8051.088.4676.6567.8151.587.8376.8767.5152.087.1876.8867.0252.586.6276.7866.5153.086.3476.6666.1953.586.4476.5366.1554.086.9776.2866.3554.587.8375.7466.5255.088.7374.6366.2255.589.3272.6164.8556.089.2669.2161.7856.588.4863.8156.4657.087.1955.6448.5157.585.8544.3238.0558.084.9331.5526.7958.584.7122.8019.3259.085.2023.0419.6359.586.1229.6525.5360.086.9636.6131.8460.587.2540.6535.4661.086.8240.8935.5061.585.9037.2131.9762.084.9929.6725.2162.584.4919.0416.0963.084.528.166.9063.584.741.861.5864.084.602.872.4364.583.628.467.0765.081.8613.9111.38

BEAMSPLITTER EXAMPLE 3

[0060] Table 5 below illustrates another example of a coating interface 320 that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 26 alternating layers (n=13) of MgF2 and LaF3. This example provides a relatively flat R(s)*T(p) function between 40 and 60 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum of 72.69% to a minimum of 71.80% or a delta of 0.89% (±0.445%).

5TABLE 5MechanicalOptical ThicknessLayerThicknessLayer Index(quarter-waves atNumberMaterial(nm)(at 157.6 nm)157.6 nm)exit mediumCaF2massive 1MgF238.091.4651.416 2LaF38.561.780.387 3MgF240.191.4651.494 4LaF325.391.781.147 5MgF225.431.4650.946 6LaF320.001.780.904 7MgF229.251.4651.088 8LaF327.491.781.242 9MgF236.721.4651.36510LaF316.231.780.73311MgF227.281.4651.01412LaF329.491.781.33213MgF2120.761.4654.49014LaF330.601.781.38215MgF238.551.4651.43316LaF330.801.781.39117MgF239.701.4651.47618LaF331.341.781.41619MgF240.711.4651.51420LaF330.441.781.37521MgF245.041.4651.67522LaF321.301.780.96223MgF223.641.4650.87924LaF38.821.780.39825MgF251.751.4651.92426LaF325.881.781.169entranceCaF2massivemedium

[0061] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 6 in graphical form, and are illustrated in the Table 2 below in tabular form:

6TABLE 6Wavelength 157.6 nmRange 40-60 degreesSubstrate CaF2H LaF3L MgF2angleT(p)R(s)R(s) * T(p)30.063.7169.2844.1430.562.1272.7445.1931.061.8474.6146.1431.562.8875.1047.2232.065.2374.2248.4132.568.8071.6949.3233.073.3766.8849.0733.578.5358.5445.9734.083.6444.7237.4034.587.9124.4521.5035.090.686.055.4835.591.689.939.1136.091.1232.8929.9736.589.5653.9148.2937.087.6667.3059.0037.585.9175.1864.5938.084.6279.8067.5338.583.9182.5069.2339.083.7584.0170.3639.584.0484.7071.1840.084.6284.8271.7840.585.3684.4972.1241.086.1583.8472.2241.586.9282.9972.1342.087.6582.0971.9542.588.3581.2871.8143.089.0180.6771.8043.589.6480.2371.9244.090.2179.9072.0844.590.6979.5972.1845.091.0779.2572.1745.591.3378.9172.0746.091.4678.6471.9346.591.4778.5371.8347.091.3778.6471.8547.591.1578.9671.9748.090.7979.4372.1248.590.2879.9772.2049.089.5980.5472.1649.588.6981.1872.0050.087.5882.0271.8350.586.3083.1671.7651.084.9184.6071.8351.583.5286.1871.9852.082.2487.6972.1252.581.1588.9672.1953.080.2889.9272.1953.579.6390.5772.1354.079.1990.9472.0254.578.9791.0571.9055.078.9990.9371.8355.579.2990.6171.8456.079.8690.1071.9556.580.6289.4472.1057.081.4088.6672.1757.582.0787.8072.0558.082.6886.8971.8358.583.5285.9571.7859.084.9184.9872.1559.586.6383.9172.6960.087.1282.4971.8760.583.2580.2366.7961.072.9076.0455.4361.558.5267.5239.5162.045.0548.7021.9462.535.1613.704.8263.029.0016.064.6663.525.9158.3815.1264.025.4078.8020.0164.527.4686.7623.8265.032.3990.1229.19

BEAMSPLITTER EXAMPLE 4

[0062] Table 7 below illustrates another example of a coating interface 320 that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 32 alternating layers (n=16) of AlF3 and NdF3. This example provides a relatively flat R(s)*T(p) function between 35 and 55 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum of 72.55% to a minimum 71.24%, or a delta of 1.31% (±0.655%).

7TABLE 7MechanicalOptical ThicknessLayerThicknessLayer Index(quarter-waves atNumberMaterial(nm)(at 157.6 nm)193 nm)exit mediumCaF2massive 1NdF328.951.71.0200 2AlF339.101.4171.1483 3NdF324.881.70.8766 4AlF339.091.4171.1480 5NdF328.671.71.0101 6AlF338.991.4171.1451 7NdF323.931.70.8431 8AlF335.481.4171.0420 9NdF328.671.71.010110AlF344.861.4171.317411NdF335.181.71.239512AlF346.911.4171.377613NdF336.511.71.286414AlF348.211.4171.415815NdF337.641.71.326216AlF350.121.4171.471917NdF338.901.71.370618AlF353.671.4171.576219NdF341.691.71.468920AlF395.591.4172.807321NdF348.101.71.694722AlF355.921.4171.642323NdF340.701.71.434024AlF3126.791.4173.723625NdF330.491.71.074326AlF346.761.4171.373227NdF323.501.70.828028AlF342.271.4171.241429NdF326.201.70.923130AlF342.511.4171.248431NdF317.931.70.631732AlF3140.211.4174.1177entranceCaF2massivemedium

[0063] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 7 in graphical form, and are illustrated in the Table 8 below in tabular form:

8TABLE 8Wavelength 193 nmRange 35-55 degreesSubstrate CaF2H NdF3L AlF3angleT(p)R(s)R(s) * T(p)30.044.4989.5739.8530.545.2989.6640.6031.048.5288.8143.0831.554.3286.6247.0632.062.7881.9151.4232.573.3371.2452.2433.084.1144.8637.7333.592.022.272.0934.094.7029.3827.8334.592.5466.2461.3035.088.0281.0471.3335.583.4887.1272.7336.080.1389.9072.0336.578.2791.1871.3737.077.7391.6571.2437.578.1391.5871.5538.079.0591.0972.0138.580.1790.2672.3639.081.3089.1572.4839.582.4387.8872.4440.083.5886.5872.3640.584.8185.3472.3741.086.1384.1372.4641.587.5082.9072.5442.088.8781.6172.5342.590.1780.3472.4443.091.3579.2272.3743.592.3778.3872.3944.093.2177.7872.5044.593.8877.2872.5545.094.3876.7172.4145.594.7176.0772.0446.094.8775.5171.6346.594.8575.3071.4347.094.7075.5671.5647.594.4776.1371.9148.094.2176.7072.2648.593.9877.0572.4149.093.7677.1072.3049.593.5277.0172.0250.093.1777.0171.7550.592.6277.3271.6151.091.8078.0171.6151.590.6479.0471.6352.089.1680.3271.6152.587.4981.8071.5653.085.8083.3971.5553.584.2684.9771.6054.082.9086.4871.6954.581.6187.8771.7155.080.2089.1471.4955.578.3390.2770.7156.075.3691.2068.7356.570.4091.8764.6857.063.0092.2158.1057.554.1192.1649.8758.045.7291.7441.9458.539.4291.3536.0159.035.8891.8832.9659.535.1993.2032.7960.037.4094.2835.2660.542.5694.8040.3561.050.0794.8347.4961.557.7494.4154.5262.062.0693.4758.0162.560.6591.7755.6663.053.7788.9347.8263.544.0884.6537.3164.035.1879.6928.0364.529.3076.5922.4465.026.9778.2021.09

BEAMSPLITTER EXAMPLE 5

[0064] Table 9 below illustrates another example of a coating interface 320 for 193 nm that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 30 alternating layers (n=15) of AlF3 and NdF3. This example provides a relatively flat R(s)*T(p) function between 35 and 55 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum 74.60% to a minimum of 70.38%, or a delta of 4.33$ (±2.11%).

9TABLE 9MechanicalOptical ThicknessLayerThicknessLayer Index(quarter-waves atNumberMaterial(nm)(at 157.6 nm)193 nm)exitfused silicamassivemedium 1NdF326.461.70.9323 2AlF323.861.4170.7007 3NdF333.231.71.1708 4AlF344.511.4171.3072 5NdF327.741.70.9774 6AlF327.661.4170.8123 7NdF331.811.71.1208 8AlF358.211.4171.7095 9NdF34.191.70.147610AlF349.371.4171.449911NdF339.271.71.383612AlF343.001.4171.262813NdF340.451.71.425214AlF343.961.4171.291015NdF341.241.71.453016AlF344.881.4171.318017NdF341.571.71.464618AlF345.851.4171.346519NdF342.571.71.499920AlF365.981.4171.937721NdF370.521.72.484622AlF360.701.4171.782623NdF341.061.71.446724AlF3122.771.4173.605525NdF351.951.71.830426AlF340.831.4171.199127NdF37.851.70.276628AlF361.421.4171.803829NdF396.341.73.394430AlF3123.131.4173.6161entrancefused silicamassivemedium

[0065] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 8 in graphical form, and are illustrated in the Table 10 below in tabular form:

10TABLE 10Wavelength 193 nmRange 35-55 degreesSubstrate fused silicaH NdF3L AlF3angleT(p)R(s)R(s) * T(p)30.063.3177.3048.9430.564.2476.8249.3531.067.5973.7049.8131.573.1766.2648.4832.080.3250.5740.6232.587.5722.5919.7933.092.818.047.4633.594.4737.8535.7634.092.6864.7760.0334.589.0477.9169.3735.085.3184.0971.7435.582.5787.0971.9136.081.1688.4471.7736.580.9688.7871.8837.081.6388.3972.1537.582.7687.4172.3438.084.0386.0072.2738.585.3184.4072.0039.086.5682.9571.8039.587.8381.8271.8740.089.1480.8972.1140.590.4379.9372.2841.091.6278.8372.2341.592.6377.7171.9842.093.4076.8471.7642.593.9476.4271.7943.094.2776.4172.0343.594.4476.5072.2544.094.5076.4572.2444.594.4376.2672.0145.094.2376.1571.7545.593.8576.4071.7146.093.3277.0471.9046.592.7077.8372.1547.092.0978.4572.2447.591.5278.7872.1048.091.0078.9271.8148.590.3879.2571.6349.089.4880.1971.7549.588.1181.8272.0950.086.2683.7772.2750.584.2885.5072.0651.082.8086.6271.7251.582.5786.8871.7352.083.9986.0472.2652.586.7483.7772.6653.089.6980.0371.7853.591.5976.8470.3854.092.0478.0871.8654.590.6982.2574.6055.084.3285.2171.8555.568.5185.5658.6256.047.6683.3639.7356.531.1684.4526.3157.021.3991.4319.5657.516.4594.9915.6358.014.6196.1514.0458.515.2496.3314.6859.018.8995.9218.1259.527.5694.8426.1360.043.5892.6140.3660.559.3988.4552.5361.054.0783.5845.1961.529.5884.9725.1362.011.6990.4010.5762.54.7693.824.4763.02.3694.862.2463.51.4995.341.4264.01.2197.881.1964.51.3598.571.3365.02.3398.892.30

BEAMSPLITTER EXAMPLE 6

[0066] Table 11 below illustrates another example of a coating interface 320 for 157.6 nm that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 21 alternating layers of LaF3 and MgF2. This example provides a relatively flat R(s)*T(p) function between 44 and 60 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum 68.08% to a minimum of 67.95%, or a delta of 0.128% (±0.064%).

11TABLE 11Index ofrefractionThicknessMaterial(at 157.6)(nm)Exit mediumCaF21.558massiveLayer 1LaF31.786.58Layer 2MgF21.46526.99Layer 3LaF31.7826.67Layer 4MgF21.46513.76Layer 5LaF31.7843.26Layer 6MgF21.46515.96Layer 7LaF31.7826.76Layer 8MgF21.46522.79Layer 9LaF31.7830.06Layer 10MgF21.46521.23Layer 11LaF31.7841.81Layer 12MgF21.46530.49Layer 13LaF31.7839.32Layer 14MgF21.46530.48Layer 15LaF31.7840.11Layer 16MgF21.46531.22Layer 17LaF31.7847.42Layer 18MgF21.46520.04Layer 19LaF31.7828.12Layer 20MgF21.46589.08Layer 21LaF31.7845.99Entrance mediumCaF21.558massive

[0067] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 9 in graphical form, and are illustrated in the Table 12 below in tabular form:

12TABLE 12Wavelength 157.6 nmRange 44-60 degreesSubstrate CaF2H LaF3L MgF2EfficiencyAngleR(s)T(p)(Rs * Tp)3058.913969.532240.9641307830.559.211870.376941.671429273158.969271.576642.2081484131.558.135273.112442.504039963256.638574.948542.4497061732.554.38777.029541.894034173351.272279.27840.6475747233.547.189481.595538.504426883442.086783.867435.2970210434.536.068185.972831.008755483529.564187.799125.9570137235.523.522589.258720.995877713619.411990.303317.5295862936.518.729590.930717.030865463722.085191.183520.1379671637.528.686591.138426.144417123836.867990.890733.5094923938.545.067290.538640.803211943952.350190.169347.2037187239.558.373289.85152.448903934063.141989.628756.5932641340.566.807589.525159.809481184169.554689.543362.2814841441.571.553789.671864.163490764272.947189.889965.5720752442.573.85190.173166.593736084374.362290.496667.2952626943.574.565590.837967.733734324474.541691.177767.9653164244.574.370391.498568.047708954574.131591.782868.0399663845.573.900592.011767.997106364673.739792.163167.9607934546.573.691892.213167.953493234773.776492.136667.9750665647.573.994891.911268.009508624874.340291.519268.0355563248.574.808890.950468.038902844975.406690.203168.019090849.576.148389.284867.988857365077.048788.212167.9662762950.578.110987.0167.964294095179.316185.71267.9834156351.580.621684.359568.011978655281.967283.000768.0333497752.583.287781.687468.035556655384.524880.470768.0176982353.585.634579.395567.989939455486.588578.494767.9673833154.587.371977.785367.962494535587.978677.26767.9784248655.588.407176.924968.007073275688.656776.737468.0328465156.588.724576.686568.039713695788.603676.770768.0216039557.588.281777.013167.98847395887.739477.462367.9649572558.586.949578.181667.978510295985.875479.224768.0345280259.584.468580.599968.081526536082.664382.224967.9706380160.580.374583.882867.420381096177.475285.201666.0101161.573.789985.698563.236837456269.074484.921658.6590856762.563.020682.655952.090244126355.337379.069743.755037163.546.035274.675734.377107856436.075870.127725.299128864.528.125165.99818.56200356525.855362.657516.2002846P-V0.128033306(44-60)

BEAMSPLITTER EXAMPLE 7

[0068] Table 13 below illustrates another example of a coating interface 320 for 157.6 nm that satisfies the requirements of a flat R(s)*T(p) apodization function using a total of 11 alternating layers of LaF3 and MgF2. This example provides a relatively flat R(s)*T(p) function between 44 and 60 degrees incident. In that range, the R(s)*T(p) function ranges from a maximum 63.11% to a minimum of 62.897%, or a delta of 0.21% (±0.1%).

13TABLE 13Index ofrefractionMaterial(at 157.6)(nm)Exit mediumCaF21.558massiveLayer 1LaF31.7858.48Layer 2MgF21.46560.07Layer 3LaF31.7855.11Layer 4MgF21.46547.98Layer 5LaF31.7831.71Layer 6MgF21.46540.26Layer 7LaF31.7831Layer 8MgF21.46538.79Layer 9LaF31.7827.29Layer 10MgF21.46537.73Layer 11LaF31.7865.71Entrance mediumCaF21.558massive

[0069] The R(s), T(p) and the overall R(s)*T(p) functions are shown in FIG. 10 in graphical form, and are illustrated in the Table 14 below in tabular form:

14TABLE 14Wavelength 157.6 nmRange 44-60 degreesSubstrate CaF2H LaF3L MgF2EfficiencyAngleR(s)T(p)(Rs * Tp)304.292594.11314.03980481830.54.931594.1514.643056565316.259394.0545.88712202231.58.3493.81997.824579663211.176693.455110.4451027132.514.703592.974313.67047623318.793592.399517.3651000333.523.275691.758621.35736473427.961391.083725.4681866134.532.669190.408329.535577943537.243889.765633.4321205335.541.566789.186537.07188493645.557288.69840.4083252636.549.169488.321943.42734833752.38588.074146.1376172937.555.206187.964148.561549013857.648287.994750.7273606538.559.734988.162352.663661743961.493988.45754.3956591239.562.954488.863355.943357344064.145689.360957.3210854740.565.095689.925858.537739064165.831490.531859.5983513941.566.378991.151960.505628554266.763391.7661.2620040842.567.009192.332861.871378284367.140892.850762.3407027943.567.182793.298962.680720094467.159393.66862.9067731244.567.094393.953463.037376064567.010594.154963.0936692645.566.92994.275363.097515544666.868194.319363.0695238446.566.842894.292163.027479824766.864194.198462.9849123747.566.939694.041262.950803124867.073493.821662.9293370548.567.267393.538662.920890684967.52293.189362.9232791549.567.838292.76962.932819765068.21892.272162.9461811850.568.664991.692762.960700765169.184591.025162.9752603151.569.783790.265162.990326595270.469589.410163.0068504252.571.247188.460763.025683395372.11887.42163.0462767853.573.077486.300163.065869285474.113285.112663.0796714654.575.20583.879763.081728395576.325682.629263.0672326855.577.442681.395463.034714045678.521380.218262.9883734856.579.527779.141362.939255645780.430378.208462.9032507557.581.200777.459862.897899825881.813776.924862.935025158.582.245376.61463.011414145982.4776.506963.0952404359.582.457676.536663.110243486082.16876.57262.9176809660.581.545876.403662.303926856180.511575.74360.9818254561.578.952174.256358.626908236276.709271.643954.9574625462.573.57467.756749.851314466369.313362.694443.4555575663.563.796856.812436.24449326457.368650.616429.0379200564.551.513144.604422.977109186549.029739.147119.19370569P-V0.212343663(44-60)

[0070] While specific embodiments of the present invention have been described above, it should be understood that they have been presented by way of example only, and not limitation. It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined in the appended claims. Thus, the breadth and scope of the present invention should not be limited by any of the above-described exemplary embodiments, but should be defined only in accordance with the following claims and their equivalents.

Ultraviolet polarization beam splitter with minimum apodization

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CPC

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