METHOD, DRIVE DEVICE, OPTICAL SYSTEM AND LITHOGRAPHY APPARATUS
20230028288 · 2023-01-26
Inventors
Cpc classification
G03F7/705
PHYSICS
G03F7/70525
PHYSICS
H02P23/0022
ELECTRICITY
H02P7/025
ELECTRICITY
G03F7/70258
PHYSICS
International classification
Abstract
A method for operating a magnetic actuator comprises: ascertaining a mathematical model of the actuator which describes a change in a motor constant of the actuator as a function of the electrical drive power supplied; driving the actuator with a first electrical drive power as a function of a predetermined target force; ascertaining the change in the motor constant of the actuator on account of driving the actuator with the first electrical drive power via the mathematical model; ascertaining a correction value for the first electrical drive power as a function of the ascertained change in the motor constant; and driving the actuator with a second electrical drive power as a function of the first electrical drive power and the ascertained correction value.
Claims
1. A method of operating a magnetic actuator configured to provide a mechanical force as a function of an electrical drive power, the method comprising: determining a mathematical model of the magnetic actuator, the mathematical model describing a change in a motor constant of the magnetic actuator as a function of an electrical drive power supplied to the magnetic actuator; driving the magnetic actuator with a first electrical drive power as a function of a target force; using the mathematical model to determine the change in the motor constant of the magnetic actuator due to driving the magnetic actuator with the first electrical drive power; determining a correction value for the first electrical drive power as a function of the change in the motor constant; and driving the magnetic actuator with a second electrical drive power as a function of the first electrical drive power and the correction value.
2. The method of claim 1, further comprising using the magnetic actuator to actuate an optical element.
3. The method of claim 1, wherein the optical element is in an optical system.
4. The method of claim 1, wherein the first electrical drive power is proportional to an input current at the magnetic actuator.
5. The method of claim 1, wherein determining the mathematical model comprises: driving the magnetic actuator with the first electrical drive power to provide the target force; detecting the force provided by the magnetic actuator; controlling the first electrical drive power as a function of the detected force; detecting a change in the first electrical drive power over time; and providing a model describing the temporal profile and/or determining a parameter value of the model as a function of the detected change in the first electrical drive power over time.
6. The method of claim 1, further comprising: detecting the electrical drive power supplied to the magnetic actuator; and using the electrical drive power when determining the change in the motor constant.
7. The method of claim 1, further comprising: detecting a present actuator temperature; and using the actuator temperature as feedback when determining the change in the motor constant.
8. The method of claim 1, wherein determining the mathematical model is performed under ambient conditions which correspond to envisaged operating conditions of the magnetic actuator.
9. The method of claim 1, the mathematical model is represented by at least one PT1 element and a PT0 element.
10. The method of claim 1, further comprising selecting the mathematical model based on a theoretical description of the magnetic actuator, wherein determining the mathematical model determining a parameter value of the mathematical model.
11. One or more machine-readable hardware storage devices comprising instructions that are executable by one or more processing devices to perform operations comprising the method of claim 1.
12. A system comprising: one or more processing devices; and one or more machine-readable hardware storage devices comprising instructions that are executable by the one or more processing devices to perform operations comprising the method of claim 1.
13. A method, comprising: determining a mathematical model of the magnetic actuator which describes a change in a motor constant of the magnetic actuator as a function of the electrical drive power supplied to the magnetic actuator; driving a magnetic actuator with a first electrical drive power as a function of a target force; using a mathematical model to determine a change in a motor constant of the magnetic actuator due to driving the magnetic actuator with the first electrical drive power, the mathematical model describing a change in the motor constant of the magnetic actuator as a function of the electrical drive power supplied to the magnetic actuator; determining a correction value for the first electrical drive power as a function of the change in the motor constant; and driving the magnetic actuator with a second electrical drive power as a function of the first electrical drive power and the correction value, wherein the method comprises using the magnetic actuator to actuate an optical element.
14. One or more machine-readable hardware storage devices comprising instructions that are executable by one or more processing devices to perform operations comprising the method of claim 13.
15. A system comprising: one or more processing devices; and one or more machine-readable hardware storage devices comprising instructions that are executable by the one or more processing devices to perform operations comprising the method of claim 13.
16. A drive device configured to drive a magnetic actuator to provide a mechanical force as a function of an electrical drive power, the drive device comprising: a modeling unit configured to provide a mathematical model of the magnetic actuator which describes a change in a motor constant of the magnetic actuator as a function of the electrical drive power; a driving unit configured to drive the magnetic actuator with a first electrical drive power as a function of a target force; an evaluation unit configured to determine a change in the motor constant of the magnetic actuator due to driving the magnetic actuator with the first electrical drive power and as a function of the mathematical model; and a correction unit configured to determine a correction value for the first electrical drive power as a function of the determined change in the motor constant of the magnetic actuator, wherein the driving unit is configured to drive the magnetic actuator with a second electrical drive power as a function of the first electrical drive power and the correction value.
17. The drive device of claim 16, further comprising a detection unit configured to detect an electrical drive power supplied to the magnetic actuator, wherein the evaluation unit is configured to determine the change in the motor constant as a function of the detected electrical drive power.
18. A system, comprising: an actuator; and a drive device according to claim 16, wherein the drive device is configured to drive the actuator.
19. The system of claim 18, further comprising an optical element configured to be actuated by the actuator
20. The system of claim 18, wherein the system comprises a lithography optical system.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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EXEMPLARY EMBODIMENTS
[0086] Identical elements or elements having an identical function have been provided with the same reference signs in the figures, unless indicated to the contrary. It should also be noted that the illustrations in the figures are not necessarily true to scale.
[0087]
[0088] A first step S1 involves ascertaining a mathematical model of the actuator 200 which describes a change in a motor constant k (see
[0089] A second step S2 involves driving the actuator 200 with a first electrical drive power PS as a function of a predetermined target force FS (see
[0090] A third step S3 involves ascertaining the change in the motor constant k of the actuator 200 on account of driving the actuator 200 with the first electrical drive power PS via the mathematical model. By way of example, the mathematical model is evaluated, for example the electrical drive power PS serving as an input variable.
[0091] A fourth step S4 involves ascertaining a correction value for the first electrical drive power PS as a function of the ascertained change in the motor constant k. The correction value is for example a correction value ΔI (see
[0092] A fifth step S5 involves driving the actuator 200 with a second electrical drive power PS as a function of the first electrical drive power PS and the ascertained correction value. The second electrical drive power PS is for example a sum of the first electrical drive power PS and the correction value.
[0093] The change in the motor constant k owing to heating of the actuator 200 is compensated for in this way, such that the force A provided by the actuator 200 corresponds to the demanded target force FS. By way of example, the provided force A given a constant target force FS is likewise constant, even though the motor constant k changes slowly, without the need for explicit force feedback control for the actuator 200. In this case, the ascertainment of the mathematical model can be accorded particular importance since this substantially defines the accuracy of the compensation.
[0094]
[0095] A provided by the actuator 200 is transmitted to the element 230. On the other side, the permanent magnet 210 is secured to a rigid force frame 250 via a coupling element 240. The coupling element 240 transmits the force opposing the force A to the force frame 250, which forms a mechanical fixed point for the actuator 200. The coupling element 240 is embodied as a spring, for example, which defines a rest position of the permanent magnet 210 in relation to the force frame 250 and permits a relative movement between the permanent magnet 210 and the force frame 250. The deflection is proportional to the force A, for example, for which reason the two terms can be used interchangeably with one another.
[0096] The conductor arrangement 220 is connected to a voltage or current source V, which provides an electrical drive power PS (see
[0097] If the voltage source V energizes the conductor arrangement 220 with a drive current IS, an induced magnetic field builds up for example within the coil, i.e. in the region of the permanent magnet 210. The magnetic field interacts with the magnetic field of the permanent magnet 210, thus resulting in a mechanical force action. Furthermore, the interaction leads to heating of the permanent magnet 210. The heating has the effect that the magnetization of the permanent magnet 210 becomes weaker, which affects the magnitude of the force action. This is described in more specific detail below with reference to
[0098]
[0099] The diagram shows a current axis I and a force axis F. The lines T1 and T2 correspond to the functional relationship of the provided force of the magnetic actuator 200 as a function of the current I with which the actuator 200 is driven. The current I could also be replaced by the voltage or generally the electrical power. The motor constant k of the actuator 200 is given by the gradient of the respective line T1, T2. In this case, the line T1 corresponds to a temperature of 25° C., for example, and the line T2 corresponds to a temperature of 45° C., for example. It is immediately clear from this illustration that, at different temperatures, different currents are also used in order to attain the same force, for example the target force FS. In this regard, for example, from a first current value I0 that is sufficient to attain the target force FS at 25° C. (line T1), a current value Iinf increased by a difference magnitude ΔI is present in order to attain the same target force FS at the temperature of 45° C. (line T2). Since the temperature of the actuator 200 increases principally owing to the driving with the electrical drive power PS (and accordingly decreases when the electrical drive power PS decreases), the dynamic behavior of the actuator 200 can be simulated with the aid of a mathematical model on the basis of the known electrical drive power PS.
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Δk(t)=k.Math.ΔI(t)/(IS+ΔI(t)) equation (3).
[0102] In this case, ΔI(t) is the temporally variable component of the drive current IS, as illustrated for example in the diagrams in
[0103] The input variable for the P feedback control system is the electrical drive power PS. The PTn element, which is a PT1 element, for example, outputs the correction value ΔI for the current as output value. The PTn element is characterized by at least one time constant and a gain factor, for example. The PT0 element describes the change Δk in the motor constant k for example on the basis of the correction value ΔI and the nominal motor constant k.
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[0105] The first PTn element describes for example the transfer function between the electrical drive power PS and a coil temperature T of the magnetic actuator 200. If the electrical drive power PS supplied to the mathematical model is erroneous, an erroneous coil temperature T arises as a consequence. By virtue of the coil temperature T being supplied to the model as a measurement value in the present case, measurement errors, for example of the electrical drive power PS, can be corrected. The coil temperature T can be detected on the basis of a coil voltage and a coil current.
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[0107] An ascertaining unit 320 receives all measurement, sensor and control signals, for example, from the control unit 300. In this regard, by recording the temporally variable control signal I(t), it is possible to identify the PT0 element and the PTn element from
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[0109] For this purpose, the drive device 400 comprises a driving unit 420 comprising for example a controlled voltage or current source V (see
[0110] The driving unit 420 changes the drive power PS by the correction value ΔI; by way of example, the drive current IS is increased or decreased by the correction value ΔI. The mathematical model is constantly evaluated on the basis of the drive power PS. Since all earlier drive powers PS were likewise supplied to the mathematical model, these are taken into account in the present state of the mathematical model. Therefore, the mathematical model can correctly represent even processes exhibiting a great time delay, as a function of the drive power PS. In many applications, the target force FS or the corresponding target position changes with a high frequency of 1-100 kHz, the motor constant k changing more slowly by orders of magnitude, which is owing to the comparatively slow change in the actuator temperature in reaction to a changed drive power PS. By virtue of the correction of the electrical drive power PS on the basis of the mathematical model, it is possible to compensate for the change Δk in the motor constant k of the actuator 200 as early as before intervention by a closed control loop, and therefore firstly more rapidly and secondly with a lower complexity, whereby a precision of the actuation by the actuator 200 is improved.
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[0112] The magnetic actuator 200 is for example the magnetic actuator 200 illustrated in
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[0114] The EUV lithography apparatus 100A has an EUV light source 106A. A plasma source (or a synchrotron), which emits radiation 109A in the EUV range (extreme ultraviolet range), that is to say for example in the wavelength range of 5 nm to 20 nm, can for example be provided as the EUV light source 106A. In the beam shaping and illumination system 102, the EUV radiation 109A is focused and the desired operating wavelength is filtered out from the EUV radiation 109A. The EUV radiation 109A generated by the EUV light source 106A has a relatively low transmissivity through air, for which reason the beam guiding spaces in the beam shaping and illumination system 102 and in the projection system 500 are evacuated.
[0115] The beam shaping and illumination system 102 illustrated in
[0116] The projection system 500 (also referred to as a projection lens) has five mirrors M1 to M5 and an optical element 510 for imaging the photomask 120 onto the wafer 124, the optical element being actuable via a plurality of magnetic actuators 200. In this case, individual mirrors M1 to M5 and the optical element 510 of the projection system 500 can be arranged symmetrically in relation to an optical axis 126 of the projection system 500. It should be noted that the number of mirrors M1 to M5 of the EUV lithography apparatus 100A is not restricted to the number shown. A greater or lesser number of mirrors M1 to M5 can also be provided. Furthermore, the mirrors M1 to M5 are generally curved on their front sides for beam shaping. Furthermore, individual or all of the mirrors M1 to M5 can be configured as actuable via one or more actuators 200, in a corresponding manner to the optical element 510.
[0117] The actuators 200 correspond to those shown in
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[0119] The DUV lithography apparatus 100B has a DUV light source 106B. By way of example, an ArF excimer laser that emits radiation 109B in the DUV range at 193 nm, for example, can be provided as the DUV light source 106B.
[0120] The beam shaping and illumination system 102 illustrated in
[0121] The projection system 500 has a plurality of lens elements 128, mirrors 130 and/or optical elements 510 for imaging the photomask 120 onto the wafer 124, the optical elements being actuable via magnetic actuators 200. In this case, individual lens elements 128, mirrors 130 and/or optical elements 510 of the projection system 500 can be arranged symmetrically relative to an optical axis 126 of the projection system 500. It should be noted that the number of lens elements 128 and mirrors 130 of the DUV lithography apparatus 100B is not restricted to the number shown. A greater or lesser number of lens elements 128 and/or mirrors 130 can also be provided. Furthermore, the mirrors 130 are generally curved on their front sides for beam shaping. Furthermore, individual or all of the lens elements 128 and/or mirrors 130 can be configured as actuable via one or more actuators 200, in a corresponding manner to the optical element 510.
[0122] The actuators 200 correspond to those shown in
[0123] An air gap between the last lens element 128 and the wafer 124 can be replaced by a liquid medium 132 having a refractive index>1. The liquid medium 132 can be high-purity water, for example. Such a construction is also referred to as immersion lithography and has an increased photolithographic resolution. The medium 132 can also be referred to as an immersion liquid.
[0124] Although the present disclosure has been described on the basis of exemplary embodiments, it is modifiable in diverse ways.
LIST OF REFERENCE SIGNS
[0125] 100A EUV lithography apparatus [0126] 100B DUV lithography apparatus [0127] 102 Beam shaping and illumination system [0128] 106A EUV light source [0129] 106B DUV light source [0130] 109A EUV radiation [0131] 109B DUV radiation [0132] 110 Mirror [0133] 112 Mirror [0134] 114 Mirror [0135] 116 Mirror [0136] 118 Mirror [0137] 120 Photomask [0138] 122 Mirror [0139] 124 Object [0140] 126 Optical axis [0141] 128 Lens element [0142] 130 Mirror [0143] 132 Medium [0144] 200 Actuator [0145] 210 Permanent magnet [0146] 220 Conductor arrangement [0147] 230 Actuated element [0148] 240 Coupling element [0149] 250 Force frame [0150] 300 Control unit [0151] 310 Detection unit [0152] 320 Ascertaining unit [0153] 400 Drive device [0154] 410 Modeling unit [0155] 420 Driving unit [0156] 430 Evaluation unit [0157] 440 Correction unit [0158] 500 Optical system [0159] 510 Optical element [0160] A Force [0161] FS Target force [0162] I Current [0163] I0 Current value [0164] Iinf Current value [0165] IS Drive current [0166] K Motor constant [0167] LS Light source [0168] M1 Mirror [0169] M2 Mirror [0170] M3 Mirror [0171] M4 Mirror [0172] M5 Mirror [0173] PS Electrical drive power [0174] PT0 Proportional element [0175] Ptn nth order P element [0176] S1 Method step [0177] S2 Method step [0178] S3 Method step [0179] S4 Method step [0180] S5 Method step [0181] t Time [0182] t0 Point in time [0183] t1 Point in time [0184] T Temperature [0185] T1 Line [0186] T2 Line [0187] V Voltage/current source [0188] VS Drive voltage [0189] ΔI Correction value [0190] Δk Change