An apparatus for receiving input radiation and broadening a frequency range of the input radiation to provide broadband output radiation. The apparatus includes a chamber, a fiber, a gas generating apparatus, and a radical generating apparatus. The fiber includes a hollow core configured to guide radiation propagating through the fiber, the hollow core in fluid communication with the chamber. The gas generating apparatus is configured to provide a gas within the chamber. The radical generating apparatus is configured to provide free radicals within the chamber to reduce contaminants in the gas. The apparatus may be included in a radiation source.

An alignment method includes directing an illumination beam with a first polarization state to form a diffracted beam with a second polarization state from an alignment target, and passing the diffracted beam through a polarization analyzer. The alignment method further includes measuring a polarization state of the diffracted beam and determining a location of the alignment target from the measured polarization state relative to its initial polarization state. The alignment target includes a plurality of diffraction gratings with a single pitch and two or more duty cycles, wherein the pitch is smaller than a wavelength of the illumination beam, and the location of the alignment target corresponds to the duty cycle of the diffraction grating.

An apparatus for receiving input radiation and broadening a frequency range of the input radiation to provide broadband output radiation. The apparatus includes a chamber, a fiber, a gas generating apparatus, and a radical generating apparatus. The fiber includes a hollow core configured to guide radiation propagating through the fiber, the hollow core in fluid communication with the chamber. The gas generating apparatus is configured to provide a gas within the chamber. The radical generating apparatus is configured to provide free radicals within the chamber to reduce contaminants in the gas. The apparatus may be included in a radiation source.

A radiation source includes: a hollow core optical fiber, a working medium; and a pulsed pump radiation source. The hollow core optical fiber has a body and has a hollow core. The working medium is disposed within the hollow core. The pulsed pump radiation source is arranged to produce pulsed pump radiation that is received by, and propagates through, the hollow core from an input end to an output end. One or more parameters of the pulsed pump radiation, the optical fiber and the working medium are configured to allow soliton self-compression of the pulsed pump radiation so as to change a spectrum of the pulsed pump radiation so as to form output radiation. In some embodiments, a length of the optical fiber is such that the output end substantially coincides with a position at which a temporal extent of the pulsed pump radiation is minimal.

Disclosed is a method for determining a stage position or correction therefor in a lithographic process. The method comprises obtaining transmission data describing the transmission of alignment radiation onto the substrate; obtaining position data relating to a stage position of said stage and/or a sensor position of said sensor. A weighting is determined for the position data based on said transmission data. The position based on said transmission data, position data and weighting.

In an alignment apparatus, a measurement device includes an illuminator that illuminates a first original-side mark and a second original-side mark arranged in an original and a first substrate-side mark and second substrate-side mark arranged in a substrate. The measurement device performs coarse measurement based on light beams from the first original-side mark and the first substrate-side mark by causing the illuminator to illuminate the first original-side mark and the first substrate-side mark under a first condition, and performs fine measurement based on light beams from the second original-side mark and the second substrate-side mark by causing the illuminator to illuminate the second original-side mark and the second substrate-side mark under a second condition.

A supercontinuum radiation source including a modulator being operable to modulate pump laser radiation including a train of radiation pulses to provide modulated pump laser radiation, the modulation being such to selectively provide a burst of the pulses; and a hollow-core photonic crystal fiber being operable to receive the modulated pump laser radiation and excite a working medium contained within the hollow-core photonic crystal fiber so as to generate supercontinuum radiation.

Disclosed is a metrology sensor apparatus comprising: an illumination system operable to illuminate a metrology mark in on a substrate with illumination radiation; an optical collection system configured to collect scattered radiation, following scattering of the illumination radiation by the metrology mark; and a wavelength dependent spatial filter for spatially filtering the scattered radiation, the wavelength dependent spatial filter having a spatial profile dependent on the wavelength of the scattered radiation. The wavelength dependent spatial filter may comprise a dichroic filter operable to substantially transmit scattered radiation within a first wavelength range and substantially block scattered radiation within a second wavelength range and at least one second filter operable to substantially block scattered radiation at least within the first wavelength range and the second wavelength range.

A radiation system comprising a radiation source and a radiation conditioning apparatus, wherein the radiation source is configured to provide a radiation beam with wavelengths which extend from ultraviolet to infrared, and wherein the radiation conditioning apparatus is configured to separate the radiation beam into at least two beam portions and is further configured to condition the at least two beam portions differently.

Disclosed is an optical component, being configured to function as an optical frequency converter in a broadband radiation source device. The optical component comprises a gas cell, and a hollow-core photonic crystal fiber at least partially enclosed within said gas cell. The local cavity volume of said gas cell, where said hollow-core photonic crystal fiber is enclosed within the gas cell, comprises a maximum value of 36 cm.sup.3 per cm of length of said hollow-core photonic crystal fiber.