Abstract: A method of predicting thermally induced aberrations of a projection system for projecting a radiation beam, the method comprising: calculating an irradiance profile for at least one optical element of the projection system from a power and illumination source pupil of the radiation beam, estimating a temperature distribution as a function of time in the at least one optical element of the projection system using the calculated irradiance profile for the at least one optical element of the projection system; calculating the thermally induced aberrations of the projection system based on the estimated temperature distribution and a thermal expansion parameter map associated with the at least one optical element of the projection system, wherein the thermal expansion parameter map is a spatial map indicating spatial variations of thermal expansion parameters in the at least one optical element of the projection system or a uniform map.

Abstract: A method for calculating a spatial map associated with a component, the spatial map indicating spatial variations of thermal expansion parameters in the component, the method comprising: providing or determining a temperature distribution in the component as a function of time; calculating the spatial map associated with the component using the provided or determined temperature distribution in the component and optical measurements of a radiation beam that has interacted directly or indirectly with the component, the optical measurements being time synchronized with the provided or determined temperature distribution in the component.

Abstract: The invention provides a method for thermo-mechanical control of a heat sensitive element (Ml) subject to a heat load, comprising: -providing a non-linear thermo-mechanical model of the heat sensitive element describing a dynamical relationship between characteristics of the heat load and deformation of the heat sensitive element; -calculating a control signal on the basis of an optimization calculation of the non-linear model, -providing an actuation signal to a heater (HE), wherein the actuation signal is at least partially based on the control signal, -heating the heat sensitive element by the heater on the basis of the actuation signal.

Abstract: An immersion lithographic apparatus has a pressure sensor configured to measure the pressure of immersion liquid in a space between the substrate and a projection system. A control system is responsive to a pressure signal generated by the pressure sensor and controls a positioner to exert a force on the substrate table to compensate for the force exerted on the substrate table by the immersion liquid.

Abstract: In an embodiment, a lithographic apparatus includes a stage system including a movable stage, and a stage control system to control a position of the stage in response to a setpoint signal. The stage control system includes a feedback control loop to control the position in a feedback manner, the feedback control loop having a setpoint input, and an acceleration feedforward to generate a feedforward signal to be forwardly fed into the feedback control loop. The feedforward signal is derived from the setpoint signal. The stage control system is arranged to modify the position setpoint signal into a modified position setpoint signal, the setpoint input of the feedback control loop to receive the modified position setpoint signal, the modified position setpoint signal to take account of a non rigid body behavior of the stage.

Abstract: An immersion lithographic apparatus has a pressure sensor configured to measure the pressure of immersion liquid in a space between the substrate and a projection system. A control system is responsive to a pressure signal generated by the pressure sensor and controls a positioner to exert a force on the substrate table to compensate for the force exerted on the substrate table by the immersion liquid.

Abstract: In an embodiment, a lithographic apparatus includes a stage system including a movable stage, and a stage control system to control a position of the stage in response to a setpoint signal. The stage control system includes a feedback control loop to control the position in a feedback manner, the feedback control loop having a setpoint input, and an acceleration feedforward to generate a feedforward signal to be forwardly fed into the feedback control loop. The feedforward signal is derived from the setpoint signal. The stage control system is arranged to modify the position setpoint signal into a modified position setpoint signal, the setpoint input of the feedback control loop to receive the modified position setpoint signal, the modified position setpoint signal to take account of a non rigid body behavior of the stage.

Abstract: A description is given of a device for avoiding or limiting the tilting of the head forwards and/or to the side of a passenger sitting in a seat which has a backrest, having at least one one-piece or multi-piece head-support element which comprises one or more cushion-like elements (1a, 1b; 11a, 11b). The head-tilting protection described is distinguished by the fact that the one or more cushion-like elements are designed and dimensioned such that, in the position worn as intended, they are able to completely surround the side and front sections of the neck and/or of the head of the passenger, resting on the shoulders and/or the chest region of the passenger.

Abstract: The nucleotide sequence which codes for cyclosporin synthetase and similar enzymes and recombinant vectors containing the sequence. The vectors are used in methods for the production of cyclosporin and cyclosporin derivatives.