DE102022114974A1 - Method for heating an optical element and optical system - Google Patents

Abstract

The invention relates to a method for heating an optical element in an optical system, in particular in a microlithographic projection exposure system, and to an optical system. In a method according to the invention, a heating power is introduced into the optical element (200) to produce a thermally induced deformation using a thermal manipulator (210), this heating power being used before the optical system begins to operate, in which useful light hits the optical element. is set with regard to a target state of the optical element, in which the first optical aberration is at least partially compensated, and wherein after the operation of the optical system has started, the heating power is regulated to the target state depending on the heat load of the useful light striking the optical element .

Description

BACKGROUND OF THE INVENTION

Field of invention

The invention relates to a method for heating an optical element in an optical system, in particular in a microlithographic projection exposure system, and to an optical system.

State of the art

Microlithography is used to produce microstructured components, such as integrated circuits or LCDs. The microlithography process is carried out in a so-called projection exposure system, which has an illumination device and a projection lens. The image of a mask (= reticle) illuminated by the lighting device is projected using the projection lens onto a substrate (e.g. a silicon wafer) that is coated with a light-sensitive layer (photoresist) and arranged in the image plane of the projection lens in order to project the mask structure onto the light-sensitive coating of the Transfer substrate.

In projection lenses designed for the EUV range, i.e. at wavelengths of, for example, approximately 13 nm or approximately 7 nm, mirrors are used as optical components for the imaging process due to the lack of availability of suitable translucent refractive materials.

A problem that occurs in practice is that as a result of manufacturing fluctuations of the mirrors as well as a finite precision of assembly or adjustment processes to be carried out when assembling the projection exposure system, unavoidable optical aberrations result due to existing deviations from the ideal optical design. To correct such optical aberrations (also known as “cold aberrations”), one possible approach - in addition to the targeted actuation of the respective mirrors in their rigid body degrees of freedom - is to specifically heat the mirrors with a suitable heating profile using a heating arrangement (e.g. coupling in infrared radiation). in order to achieve a correction of the optical cold aberrations via the thermally induced deformation achieved in this way.

Another problem that occurs in practice is that the EUV mirrors experience heating (also known as “mirror heating”) and the associated thermal expansion or deformation as a result of, among other things, absorption of the radiation emitted by the EUV light source, which in turn causes a This can result in impairment of the imaging properties of the optical system. In order to avoid surface deformations caused by heat input into an EUV mirror and the associated optical aberrations, it is known, among other things, to use a material with ultra-low thermal expansion (“ultra-low expansion material”) as the mirror substrate material, for example one known as ULE™ to use titanium silicate glass sold by Corning Inc. and to set the so-called zero crossing temperature (ZCT = “zero crossing temperature”) in an area close to the optical effective surface. At this zero-crossing temperature, which for ULE™, for example, is approximately ϑ = 30°C, the thermal expansion coefficient has a zero crossing in its temperature dependence, in the vicinity of which there is no or only a negligible dependence of the thermal expansion of the mirror substrate material on temperature variations that occur given is. Furthermore, by using a heating arrangement (e.g. based on infrared radiation), active mirror heating can take place in phases of comparatively low absorption of useful EUV radiation, with this active mirror heating being reduced accordingly as the absorption of the useful EUV radiation increases.

In practice, the further problem arises that the approaches described above for correcting "cold aberrations" on the one hand and for avoiding on the one hand during operation of the optical system by applying EUV or useful light in the respective mirror (ie "mirror heating “) induced deformations, on the other hand, contain opposing or contradictory requirements, as - as in the schematic diagram of 3a indicated - the temperature ranges or setpoints that are favorable or favored for the two approaches differ from one another. In order to avoid optical aberrations thermally induced by EUV radiation during operation of the optical system, a temperature window in the range of the above-mentioned zero crossing temperature (= ZCT) is desirable, in which the thermally induced deformations that occur are as insensitive as possible with respect to local temperature variations at different mirror positions . On the other hand, for the desired corrective effect with regard to “cold aberrations”, the respective mirror must be heated to a temperature range in which the deformation of the mirror is sufficiently sensitive to additional heat radiation, which then results in the aberrations induced during operation by exposure to EUV light or the influence of the above-mentioned “mirror heating” can be increased in turn.

Even when the heating power introduced into the mirror by a thermal manipulator is set to a target state in which, in addition to the cold aberrations to be compensated, the heat load acting on the mirror during operation of the optical system due to useful light is already taken into account and in which - as in 3b indicated - the heating power generated by the thermal manipulator is initially optimized with a view to both the cold aberrations and the aspect of "mirror heating", the further problem arises that as a result of the principle-related move away from the above-mentioned zero crossing temperature (ZCT) with the EUV -Load-related temperature increase during operation inevitably leads to transient aberrations or aberrations that change over time from the start of operation (ie starting time), which impairs the performance of the optical system or the projection exposure system.

The state of the art is only given as an example DE 10 2019 219 289 A1 referred.

SUMMARY OF THE INVENTION

It is an object of the present invention to provide a method for heating an optical element, in particular in a microlithographic projection exposure system, as well as an optical system, which enable effective avoidance of surface deformations caused by heat input in the optical element and associated optical aberrations.

This task is solved by the method or the optical system according to the features of the independent patent claims.

• - wobei in das optische Element zur Erzeugung einer thermisch induzierten Deformation eine Heizleistung unter Verwendung eines thermischen Manipulators eingebracht wird;
• - wobei diese Heizleistung vor Aufnahme eines Betriebs des optischen Systems, in welchem Nutzlicht auf das optische Element trifft, im Hinblick auf einen Sollzustand des optischen Elements eingestellt wird, in welchem eine erste optische Aberration wenigstens teilweise kompensiert wird; und
• - wobei nach Aufnahme des Betriebs des optischen Systems eine Regelung der Heizleistung auf den Sollzustand in Abhängigkeit von der Wärmelast des auf das optische Element treffenden Nutzlichts erfolgt.

According to one aspect, the invention relates to a method for heating an optical element in an optical system, in particular a microlithographic projection exposure system,

• - wherein a heating power is introduced into the optical element to produce a thermally induced deformation using a thermal manipulator;
• - wherein this heating power is adjusted before starting operation of the optical system, in which useful light hits the optical element, with regard to a target state of the optical element, in which a first optical aberration is at least partially compensated; and
• - After the optical system has started operating, the heating output is regulated to the desired state depending on the heat load of the useful light hitting the optical element.

The first optical aberration can in particular be at least partially due to production or adjustment. However, the invention is not limited to this, so that the first optical aberration can also be caused by other sources of error.

The invention is initially based on the approach, with regard to the basic problem explained at the beginning of opposing or contradicting requirements for the temperature range favored for correcting cold aberrations on the one hand and the temperature range favored for compensating for the influence of “mirror heating” on the other hand, already at the time of definition A suitable set of target values for the heating power introduced into the optical element by a thermal manipulator already includes both aspects of “correction of cold aberrations” and “compensation of the influence of mirror heating”. This is done by, when setting the heating power, in addition to correcting the above-mentioned "cold aberrations", the corresponding effect of the heating power on the optical aberration generated during the actual operation of the optical element or the optical system having this element as a result of incident useful light (in particular by way of a “Co-optimization”) is taken into account.

The invention is not further restricted with regard to the specific design of the thermal manipulator, i.e. the manner in which heating power is introduced into the optical element. Merely as an example, the heating power can be introduced in a manner known per se via infrared (IR) radiators, with individual sectors in particular also being able to be exposed to IR radiation by setting appropriate heating profiles. For this purpose, for example, an in DE 10 2019 219 289 A1 The heating arrangement described can be used. Alternatively, the heating power can also be introduced via electrodes that can be supplied with electrical voltage and are arranged on the optical element or mirror to be heated.

The wording “set of target values” is intended to express that the thermal manipulator may also target individual sectors by setting appropriate heating profiles with IR radiation (e.g. with the in DE 10 2019 219 289 A1 described heating arrangement). In this respect, the “set of setpoints” for the heating output of the thermal manipulator may include a value for each of the sectors (in the manner of a vector with a plurality of components).

The first optical aberration (e.g. due to manufacturing or adjustment) can be caused by the optical element itself or elsewhere in the optical system (e.g. by another optical element).

Starting from the above-mentioned approach, the invention is now based on the further concept of keeping the heating power of the thermal manipulator, which is set at the start of operation, not constant over time during operation of the optical system, as described above, in particular with regard to the correction of cold aberrations, but rather as a function of to adjust the heat load of the useful light hitting the optical element.

The concept according to the invention differs in particular from conventional preheating approaches (“preheating”) in that the aim is not to achieve a homogeneous or constant temperature distribution within the optical element or mirror during operation of the optical system, but rather - taking existing ones into account Cold aberrations - a constant wavefront effect is maintained, which in turn can be done by generating a correspondingly inhomogeneous heating profile within the mirror and, if necessary, also by maintaining this inhomogeneous heating profile under payload by readjusting the heating power during ongoing operation of the optical system.

The readjustment of the heating power of the thermal manipulator according to the invention can be carried out in different ways according to the invention, as described below. In this respect, the invention includes, on the one hand, embodiments with a temperature-based control concept, which in turn is based on the determination of an average temperature on the optical effective surface or alternatively also based on a temperature distribution on the optical effective surface (which may be based on different temperature values for different sectors on the optical effective surface ) can be based. Furthermore, the invention also includes embodiments in which the readjustment according to the invention takes place on the basis of a wavefront effect of the optical element (estimated using at least one wavefront sensor and/or based on a model).

According to one embodiment, the heating power is adjusted before the optical system begins operation, taking into account the respective effect of the heating power on a second optical aberration, which is caused in the subsequent operation of the optical system by useful light hitting the optical element. In other words, before the optical system starts operating, the heating power is adjusted as already mentioned in the sense of co-optimization both with regard to the cold aberrations and with regard to the “mirror heating” that occurs in the subsequent operation due to the EUV load.

According to one embodiment, the heating power is regulated after the optical system has started operating on the basis of at least one temperature measured using at least one temperature measuring device. The temperature measuring device can be designed in any suitable way, for example as a temperature sensor or thermal imaging camera.

According to one embodiment, the heating power is regulated after the optical system has started operating on the basis of at least one average temperature on the optical effective surface of the optical element, estimated using at least one temperature measuring device.

According to a further embodiment, the heating power is regulated after the optical system has started operating on the basis of a temperature distribution on the optical effective surface of the optical element estimated using one or more temperature measuring devices.

According to one embodiment, the temperature distribution on the optical effective surface of the optical element is estimated from measurement signals supplied by the temperature measuring devices using an observer based on a model.

According to one embodiment, the heating power is regulated after the optical system has started operating on the basis of an estimated wavefront effect of the optical element, for example using at least one wavefront sensor. In particular, the estimation of the wavefront effect of the optical element, for example from sensor signals supplied by the at least one wavefront sensor, can be carried out using a feed-forward model.

According to a further embodiment, the wavefront effect of the optical element is estimated from setpoint values for the heating power set by the thermal manipulator using a feed-forward model.

According to one embodiment, the optical element is a mirror.

According to one embodiment, the optical element is designed for a working wavelength of less than 400 nm, in particular less than 250 nm, more particularly less than 200 nm.

According to one embodiment, the optical element is designed for a working wavelength of less than 30 nm, in particular less than 15 nm.

• - wenigstens einem optischen Element,
• - einem thermischen Manipulator zum Heizen dieses optischen Elements, und
• - einer Regelungseinheit zur Regelung der durch den thermischen Manipulator in das optische Element eingebrachten Heizleistung,
• - wobei diese Regelung auf Basis eines Sollzustandes, in welchem eine erste optische Aberration wenigstens teilweise kompensiert wird, und in Abhängigkeit von der Wärmelast des auf das optische Element treffenden Nutzlichts erfolgt.

The invention also relates to an optical system, in particular a microlithographic projection exposure system

• - at least one optical element,
• - a thermal manipulator for heating this optical element, and
• - a control unit for regulating the heating power introduced into the optical element by the thermal manipulator,
• - This control takes place on the basis of a target state in which a first optical aberration is at least partially compensated, and depending on the heat load of the useful light striking the optical element.

According to one embodiment, the first optical aberration is at least partially due to manufacturing or adjustment.

According to one embodiment, the optical system is configured to perform a method with the features described above. For advantages and further preferred embodiments of the optical system, reference is made to the above statements in connection with the method according to the invention.

Further refinements of the invention can be found in the description and the subclaims.

The invention is explained in more detail below using exemplary embodiments shown in the accompanying figures.

BRIEF DESCRIPTION OF THE DRAWINGS

• 1 eine schematische Darstellung des möglichen Aufbaus einer für den Betrieb im EUV ausgelegten mikrolithographischen Projektionsbelichtungsanlage;
• 2 eine schematische Darstellung zur Erläuterung einer möglichen Realisierung eines erfindungsgemäßen Verfahrens; und
• 3a-3b Diagramme zur Erläuterung eines der vorliegenden Erfindung zugrundeliegenden, prinzipiellen Problems.

Show it:

• 1 a schematic representation of the possible structure of a microlithographic projection exposure system designed for operation in EUV;
• 2 a schematic representation to explain a possible implementation of a method according to the invention; and
• 3a-3b Diagrams to explain a fundamental problem underlying the present invention.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS

1 first shows a schematic representation of a projection exposure system 1 designed for operation in EUV, in which the invention can be implemented, for example.

According to 1 the projection exposure system 1 has an illumination device 2 and a projection lens 10. The illumination device 2 serves to illuminate an object field 5 in an object plane 6 with radiation from a radiation source 3 via illumination optics 4. A reticle 7 arranged in the object field 5 is exposed. The reticle 7 is held by a reticle holder 8. The reticle holder 8 can be displaced in particular in a scanning direction via a reticle displacement drive 9. In 1 A Cartesian xyz coordinate system is shown for explanation. The x direction runs perpendicular to the drawing plane. The y-direction is horizontal and the z-direction is vertical. The scanning direction is in 1 along the y direction. The z direction runs perpendicular to the object plane 6.

The projection lens 10 is used to image the object field 5 into an image field 11 in an image plane 12. A structure on the reticle 7 is imaged onto a light-sensitive layer of a wafer 13 arranged in the area of the image field 11 in the image plane 12. The wafer 13 is formed by a Wafer holder 14 held. The wafer holder 14 can be displaced in particular along the y direction via a wafer displacement drive 15. The displacement, on the one hand, of the reticle 7 via the reticle displacement drive 9 and, on the other hand, of the wafer 13 via the wafer displacement drive 15 can take place in synchronization with one another.

The radiation source 3 is an EUV radiation source. The radiation source 3 emits in particular EUV radiation, which is also referred to below as useful radiation or illumination radiation. The useful radiation in particular has a wavelength in the range between 5 nm and 30 nm. The radiation source 3 can be, for example, a plasma source, a synchrotron-based radiation source or a free electron laser (“free electron laser”, FEL). act. The illumination radiation 16, which emanates from the radiation source 3, is bundled and propagated by a collector 17 through an intermediate focus in an intermediate focus plane 18 into the illumination optics 4. The illumination optics 4 has a deflection mirror 19 and, downstream of it in the beam path, a first facet mirror 20 (with schematically indicated facets 21) and a second facet mirror 22 (with schematically indicated facets 23).

The projection lens 10 has a plurality of mirrors Mi (i = 1, 2, ...), which are numbered consecutively according to their arrangement in the beam path of the projection exposure system 1. At the one in the 1 In the example shown, the projection lens 10 has six mirrors M1 to M6. Alternatives with four, eight, ten, twelve or another number of mirrors Mi are also possible. The penultimate mirror M5 and the last mirror M6 each have a passage opening for the illumination radiation 16. The projection lens 10 is a double obscured optic. The projection lens 10 has an image-side numerical aperture, which can be larger than 0.3 only by way of example, and in particular also larger than 0.5, further in particular larger than 0.6.

During operation of the microlithographic projection exposure system 1, the electromagnetic radiation striking the optical effective surface of the mirror is partially absorbed and, as explained at the beginning, leads to heating and an associated thermal expansion or deformation, which in turn results in an impairment of the imaging properties of the optical system can. As described above, active mirror heating can now take place via a thermal manipulator in the form of a heating arrangement in phases of comparatively low absorption of useful EUV radiation, with this active mirror heating being reduced accordingly as the absorption of the useful EUV radiation increases.

In 1 A heating arrangement is only shown schematically and labeled “25”, this heating arrangement 25 being used in the example to introduce heating power into the mirror M3. The invention is not further restricted with regard to the manner in which heating power is introduced or the design of the heating arrangement used for this purpose. By way of example only, the heating power can be introduced in a manner known per se via infrared radiators or via electrodes which can be supplied with electrical voltage and are arranged on the optical element or mirror to be heated.

Furthermore, the invention is not further restricted with regard to the number of optical elements or mirrors to be heated, so that the control according to the invention can be applied to the heating of only a single optical element or also to the heating of a plurality of optical elements.

What the embodiments described below have in common is that the introduction of a heating power into an optical element or a mirror is not only carried out with (initial) adjustment to a target state, taking into account both optical aberrations to be compensated for due to manufacturing or adjustment errors and, if necessary, taking into account the Effects of the heating power on a second optical aberration caused by “mirror heating” in subsequent operation, but in addition - after the optical system has started operating or the optical element has been exposed to useful light - the heating power is also regulated depending on the heat load of the useful light hitting the optical element (i.e. EUV radiation).

In particular, according to the invention, it is taken into account that in a projection exposure system during the microlithographic exposure process, in addition to the heating power introduced into a mirror via IR radiation, for example, useful light in the form of EUV radiation also acts on the mirror surface, with the result that the mirror temperature on the optical effective surface locally and depending on the selected lighting setting compared to the temperature profile existing without EUV radiation, as already shown by 3b was explained.

To take this effect into account, different control concepts according to the invention are described below, initially with reference to 2 Temperature-based control concepts are explained. For this purpose, one or more temperature measuring devices 203a, 203b (e.g. temperature sensors) are arranged in the relevant optical element or mirror 200 in a manner known per se in access channels 202 located within the mirror substrate 201, an estimate of the average temperature or a temperature distribution on the optical effective surface of the mirror 200 also takes place.

In 2 A thermal manipulator in the form of an infrared heating arrangement is also designated “210” and the EUV radiation (= useful light) acting on the mirror 200 during operation is designated “220”. Furthermore, “211” to “214” denotes several sectors in the area of the optical effective surface of the mirror, in embodiments with the presence of a sufficient number of temperature measuring devices 203a, 203b and, if necessary, also using an observer ters 230 and an estimate of a local temperature distribution on the optical effective surface of the mirror 200 can be made using a model.

In a first embodiment of a temperature-based control concept according to the present invention, the heating power supplied to the mirror 200 after the start of operation via the thermal manipulator 210 can be controlled on the basis of the estimated mean temperature at the optical effective surface (ie initially without a spatially resolved determination of the Temperature distribution over several sectors). This approach is based on the idea that, in a simplified view, the EUV radiation 220 absorbed by the mirror 200 leads to an increase in the average mirror temperature: $$\overline{T_{\text{total}}}=\overline{T_{\text{IR}}+T_{\text{EUV}}}$$

Furthermore, it is now assumed that the thermal manipulator 210 is designed as a “sector heater” in that it controls the introduction of heating power into the mirror 200 in a targeted manner in different sectors (eg “211” to “214”) 2 ) enables. For this purpose, for example, an in DE 10 2019 219 289 A1 The heating arrangement described can be used.

erfolgen.According to the first embodiment, after estimating the average temperature on the optical effective surface of the mirror 200, the heating power can be regulated in such a way that this average temperature is kept constant during operation and the effect of EUV radiation 220 on the mirror 200. Alternatively, this can be done in such a way that the thermal manipulator 210 or IR heater enables a corresponding homogeneous heating of the optical effective surface, which can then be regulated down accordingly in the course of the increase in the average mirror temperature associated with the EUV radiation 220. Alternatively, heating power can also be subtracted from the individual IR radiation heater designed as a sector heater in such a way that overall there is a reduction in the average temperature on the optical effective surface while maintaining the inhomogeneous heating profile, which is introduced via the thermal manipulator 210 or IR radiation heater is achieved. This can be done, for example, using a global scaling factor S $$\overline{T_{S\cdot {\mathrm{<figure-callout\; id="1"\; label="P"\; filenames="DE102022114974A1\_0010.png"\; state="\{\{state\}\}">P</figure-callout>}}_1,\dots ,S\cdot P_N}+T_{\text{euv}}}=\overline{T_{\text{init}}}$$

take place.

Alternatively, a linear combination of heating powers introduced per sector can also be determined, which generates the most homogeneous possible temperature increase and can then be used for the control according to the invention. Instead of a global scaling factor, other suitable mathematical approaches can also be used to reduce the average temperature at the optical effective surface.

In order to implement the temperature-based control concept described above based on the average temperature at the optical effective surface, the heating power of the thermal manipulator 210 is preferably already set during the initial setting (by means of a co-optimization of the corresponding merit function both with regard to cold aberrations and with regard to on “Mirror Heating”) a sufficiently large offset of the mean temperature is maintained on the optical effective surface. In other words, the (average) temperature initially resulting from the corresponding “co-optimized” setpoint for the heating power at the optical effective surface in each sector should generally be greater than the maximum temperature caused by EUV radiation 220 in this sector. In individual cases, particularly depending on the specific expansion behavior of the optical element (position of the ZCT), it may make sense to heat with less than the maximum temperature caused by EUV radiation 220.

As already mentioned, in further embodiments, the temperature-based control concept can be expanded to the extent that the temperature for the individual sectors 211, 212, 213, 214 on the optical effective surface is compared to the respective initial value (ie the temperature value set via the thermal manipulator 210 upon start of operation) is kept constant over time. This not only keeps the average temperature of the mirror 200 constant over time, but also, in a first approximation, the spatial temperature distribution desired to correct the cold aberrations is kept constant. Since typically due to boundary conditions in the optical system, the number of temperature measuring devices 203a, 203b,... that can be integrated into the mirror 200 is limited and sometimes N > K applies (where N is the number of sectors 211, 212,... and K is the number the temperature measuring devices 203a, 203b,...), in embodiments of the invention, an observer 230 according to is preferably additionally used 2 used to estimate the temperature distribution in the individual sectors 211, 212,... based on the temperature measurements and also a process model. The quality of the estimate that can be achieved depends on both the quality of the process model and the knowledge of the input signals. To improve the quality of the estimation, the EUV load (as a significant heat load) is supplied to the observer 230.

In further embodiments, the control according to the invention of the heating power coupled into the optical element or the mirror 200 during operation can also be carried out on a wavefront basis, i.e. the heating profile set via the thermal manipulator 210 - again designed in particular as a sector heater - is directly adjusted with regard to the optimized by the wave front generated by the mirror 200 or the associated optical system. The respective detection or estimation of the current wavefront effect can be carried out using a wavefront sensor (e.g. arranged in the area of the wafer stage) and preferably with the additional use of a feed-forward model. Since the aim of this wavefront-based approach is not to keep the initial temperature distribution constant (i.e. set at the start of operation or at the beginning of exposure of the mirror 200 with useful light or EUV radiation 220) in accordance with the setpoint for the heating power, which is set in particular to correct the cold aberrations Instead, the goal is to keep the wavefront effect of the mirror constant, significant deviations from the initial temperature distribution can occur.

der Position und Orientierung der optischen Elemente $\overrightarrow{x},$

eine weitere Wellenfrontwirkung $f\left(\overrightarrow{h}\right)$

des thermischen Manipulators bzw. Sektorheizers, sowie eine über diesen thermischen Manipulator eingestellte (Heizleistungs-)Amplitude $\overrightarrow{h}$

über eine Gewichtungs-Metrik D ein skalarer Wert zugeordnet wird. Die wellenfrontbasierte Optimierung entspricht dann einer Minimierung dieser Merit-Funktion gemäß $$\overrightarrow{x\text{*}},\overrightarrow{h\text{*}}=\underset{\overrightarrow{x},\overrightarrow{h}}{\text{argmin}}D\left(S+l\left(\overrightarrow{x}\right)+f\left(\overrightarrow{h}\right)\right).$$

The corresponding wavefront-based optimization can be carried out by minimizing a merit function, in which for a given disturbance 5, a wavefront effect $l\left(\overrightarrow{x}\right)$

the position and orientation of the optical elements $\overrightarrow{x},$

another wavefront effect $f\left(\overrightarrow{H}\right)$

of the thermal manipulator or sector heater, as well as a (heating power) amplitude set via this thermal manipulator $\overrightarrow{H}$

A scalar value is assigned via a weighting metric D. The wavefront-based optimization then corresponds to a minimization of this merit function $$\overrightarrow{x\text{*}},\overrightarrow{H\text{*}}=\underset{\overrightarrow{x},\overrightarrow{H}}{\text{argmin}}D\left(S+l\left(\overrightarrow{x}\right)+f\left(\overrightarrow{H}\right)\right).$$

erweitert: $$\overrightarrow{x\text{*}}\left(t\right),\overrightarrow{h\text{*}}\left(t\right)=\underset{\overrightarrow{x},\overrightarrow{h}}{\text{argmin}}D\left(S+l\left(\overrightarrow{x}\right)+f\left(\overrightarrow{h}\right)+Z{\left(\overrightarrow{h},t\right)}_{FF,MH}\right)$$

According to the invention, this merit function now becomes a transient, wavefront-based “co-optimization” by predicting the wavefront effect f(h) introduced by the thermal manipulator or sector heater and the aberrations induced by “mirror heating” as a result of EUV load $Z{\left(\overrightarrow{H},t\right)}_{FF,MH}$

expanded: $$\overrightarrow{x\text{*}}\left(t\right),\overrightarrow{H\text{*}}\left(t\right)=\underset{\overrightarrow{x},\overrightarrow{H}}{\text{argmin}}D\left(S+l\left(\overrightarrow{x}\right)+f\left(\overrightarrow{H}\right)+Z{\left(\overrightarrow{H},t\right)}_{FF,MH}\right)$$

The disturbance 5 can be determined in particular via an initial wavefront measurement and updated repeatedly using further wavefront measurements. Alternatively, fault 5 can also be determined through simulations. The delay in the heating and cooling behavior of the sector heater can be taken into account in the optimization. A feed-forward model can be used to predict the respective wavefront effect between the respective wavefront measurements. Furthermore, the feed-forward model can also be used for model-based predictive control in order to prepare the heating power introduced via the thermal manipulator or sector heater for the new EUV load when a setting change is pending.

Although the invention has also been described using specific embodiments, numerous variations and alternative embodiments will become apparent to those skilled in the art, for example by combining and/or exchanging features of individual embodiments. Accordingly, it will be understood by those skilled in the art that such variations and alternative embodiments are intended to be encompassed by the present invention, and the scope of the invention is limited only in terms of the appended claims and their equivalents.

QUOTES INCLUDED IN THE DESCRIPTION

This list of documents listed by the applicant was generated automatically and is included solely for the better information of the reader. The list is not part of the German patent or utility model application. The DPMA assumes no liability for any errors or omissions.

Cited patent literature

• DE 102019219289 A1 [0008, 0014, 0015, 0049]

Claims (16)

Method for heating an optical element in an optical system, in particular a microlithographic projection exposure system, - wherein a heating power is introduced into the optical element (200) to produce a thermally induced deformation using a thermal manipulator (210); - wherein this heating power is adjusted before starting operation of the optical system, in which useful light hits the optical element (200), with regard to a target state of the optical element, in which a first optical aberration is at least partially compensated; and - After the optical system has started operating, the heating output is regulated to the desired state depending on the heat load of the useful light (220) striking the optical element. Procedure according to Claim 1 , characterized in that the first optical aberration is at least partially due to manufacturing or adjustment. Procedure according to Claim 1 or 2 , characterized in that the heating power is adjusted before the optical system begins to operate, taking into account the respective effect of the heating power on a second optical aberration, which is caused by useful light striking the optical element (200) during the subsequent operation of the optical system . Procedure according to one of the Claims 1 until 3 , characterized in that the heating power is regulated after the optical system has started operating on the basis of at least one temperature measured using at least one temperature measuring device (203a, 203b). Method according to one of the preceding claims, characterized in that the heating power is regulated after operation of the optical system has started on the basis of at least one average temperature on the optical effective surface of the optical element (200) estimated using at least one temperature measuring device (203a, 203b). . Method according to one of the preceding claims, characterized in that the heating power is regulated after the optical system has started operating on the basis of a temperature distribution on the optical effective surface of the optical element (200) estimated using one or more temperature measuring devices (203a, 203b). Procedure according to Claim 6 , characterized in that the temperature distribution on the optical effective surface of the optical element (200) is estimated from measurement signals supplied by the temperature measuring devices (203a, 203b) using an observer (230) based on a model. Method according to one of the preceding claims, characterized in that the heating power is regulated after operation of the optical system has started on the basis of a wavefront effect of the optical element (200) estimated using at least one wavefront sensor. Procedure according to Claim 8 , characterized in that the wavefront effect of the optical element (200) is estimated from sensor signals supplied by the at least one wavefront sensor using a feed-forward model. Procedure according to Claim 8 , characterized in that the wavefront effect of the optical element (200) is estimated from target values for the heating power set by the thermal manipulator using a feed-forward model. Method according to one of the preceding claims, characterized in that the optical element (200) is a mirror. Method according to one of the preceding claims, characterized in that the optical element (200) is designed for a working wavelength of less than 400 nm, in particular less than 250 nm, more particularly less than 200 nm. Method according to one of the preceding claims, characterized in that the optical element (200) is designed for a working wavelength of less than 30 nm, in particular less than 15 nm. Optical system, in particular a microlithographic projection exposure system, with at least one optical element (200); • a thermal manipulator (210) for heating this optical element (200); and • a control unit for controlling the heating power introduced into the optical element (200) by the thermal manipulator (210), • this control being based on a target state in which a first optical aberration is at least partially compensated, and depending on the heat load of the useful light striking the optical element (200). Optical system according to Claim 14 , characterized in that the first optical aberration is at least partially due to manufacturing or adjustment. Optical system according to Claim 14 or 15 , characterized in that it is configured to implement a method according to one of the Claims 1 until 13 to carry out.

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