A method for controlling a vibrating optical element of a lithographic system the optical element having a predetermined number of degrees of freedom comprises: detecting a number of displacements of the optical element, each displacement corresponding to a degree of freedom, wherein the number of detected displacements is larger than the number of degrees of freedom; for each displacement according to a degree of freedom, generating a sensor signal corresponding to a movement in a degree of freedom; wherein the optical element moves as a function of a rigid body transformation matrix, the optical element movement including a first type of movement and a second type of movement; and modifying the sensor signals as a function of a modified transformation matrix, wherein the modified transformation matrix at least partially reduces at least one eigen mode or resonance of one of the first type of movements or the second type of movements.

Aberrations of a projection lens for microlithography can be subdivided into two classes: a first class of aberrations, which are distinguished by virtue of the fact that their future size increases by a non-negligible value after a constant time duration, independently of their current size, and a second class of aberrations, which, after reaching a threshold, only increase by a negligible value after each further time duration. An adjustment method is proposed, which adjusts these two classes of aberrations in parallel in time with one another.

Systems and methods for monitoring the focus of an EUV lithography system are disclosed. Another aspect includes a method having operations of measuring a first shift value for a first patterned set of sub-structures of a focus test structure on a wafer and measuring a second shift value for a second patterned set of sub-structures of the test structure on the wafer. The test structure may be formed on the wafer using asymmetric illumination, with the first patterned set of sub-structures having a first pitch and the second patterned set of sub-structures having a second pitch that is different from the first pitch. The method may further include determining a focus shift compensation for an illumination system based on a difference between the first shift value and the second shift value.

Methods are disclosed for assigning a pupil facet of a pupil facet mirror of an illumination optical unit of a projection exposure apparatus to a field facet of a field facet mirror of the illumination optical unit for the definition of an illumination channel for a partial beam of illumination light.

A method of reducing image placement errors in a microlithographic projection exposure apparatus includes providing a mask, a light sensitive layer and a microlithographic projection exposure apparatus which images features of the mask onto the light sensitive surface using projection light. Subsequently, image placement errors associated with an image of the features formed on the light sensitive surface are determined either by simulation or metrologically. Then an input state of polarization of the projection light is changed to an elliptical output state of polarization which is selected such that the image placement errors are reduced.

Methods for calibrating a photolithographic system are disclosed. A cold lens contour for a reticle design and at least one hot lens contour for the reticle design are generated from which a process window is defined. Aberrations induced by a lens manipulator are characterized in a manipulator model and the process window is optimized using the manipulator model. Aberrations are characterized by identifying variations in critical dimensions caused by lens manipulation for a plurality of manipulator settings and by modeling behavior of the manipulator as a relationship between manipulator settings and aberrations. The process window may be optimized by minimizing a cost function for a set of critical locations.

An immersion lithographic apparatus is disclosed that includes a fluid handling system configured to confine immersion liquid to a localized space between a final element of a projection system and a substrate and/or table and a gas supplying device configured to supply gas with a solubility in immersion liquid of greater than 5×10.sup.−3 mol/kg at 20° C. and 1 atm total pressure to an area adjacent the space.

A holding apparatus includes a holding portion that includes a first member which contacts a portion of an object, a second member which at least a portion thereof is fixed to a base, and a connection member which is configured to connect the first and second members, and a driving unit which drives the holding portion to change at least a posture of the first member, wherein a relative positional relationship between the first member and the second member is changed via the connection member.

The disclosure relates to a microlithographic projection exposure apparatus, such as are used for the production of large-scale integrated electrical circuits and other microstructured components. The disclosure relates in particular to coatings of optical elements in order to increase or reduce the reflectivity.

A lithographic process is used to form a plurality of target structures (T) on a substrate (W). Each target structure comprises overlaid gratings each having a specific overlay bias. Asymmetry (A) of each grating, measured by scatterometry, includes contributions due to (i) the overlay bias, (ii) an overlay error (OV) in the lithographic process and (iii) bottom grating asymmetry within the overlaid gratings. Asymmetry measurements are obtained for three or more target structures having three or more different values of overlay bias (e.g., −d, 0, +d). Knowing the three different overlay bias values and a theoretical curve relationship between overlay error and asymmetry, overlay error (OV) can be calculated while correcting the effect of bottom grating asymmetry. Bias schemes with three and four different biases are disclosed as examples. Gratings with different directions and biases can be interleaved in a composite target structure.