Abstract: A detection apparatus includes an image sensing device having an image sensing plane including a first periodic structure; and an optical system configured to illuminate a detection target including a second periodic structure different from the first periodic structure, and form an image of light from the detection target on the image sensing plane. Light having entered the image sensing plane generates a plurality of diffracted light beams of different orders in accordance with the first periodic structure. A normal of the image sensing plane is tilted with respect to an optical axis of the optical system such that the optical axis is located between diffracted light beams of adjacent orders not less than a first order among the plurality of diffracted light beams.

Abstract: A calibration method of a detection system including an illumination system configured to illuminate a detection target, and an imaging system configured to form an image of light from the detection target on a photoelectric conversion element, the method including obtaining, for each of at least two combinations of first apertures in the illumination system and second apertures in the imaging system, each of which is formed by selecting one first aperture and one second aperture from the plurality of first apertures and the plurality of second apertures, a defocus characteristic indicating a shift amount of the image on the photoelectric conversion element with respect to a defocus amount of the detection target in a state in which each of the first aperture and the second aperture is positioned in a first position shifted from a reference position.

Abstract: Position detection apparatus includes illumination optical system for illuminating target, detection optical system for forming image of the illuminated target illuminated on photoelectric converter, first array having first aperture stops, second array having second aperture stops, first driving mechanism for arranging the selected first aperture stop on pupil of the illumination optical system by driving the first array such that first aperture stop crossing optical axis of the illumination optical system moves in first direction, second driving mechanism for arranging the selected second aperture stop on pupil of the detection optical system by driving the second array such that second aperture stop crossing optical axis of the detection optical system moves in second direction. The first and second driving mechanisms fine-tune positions of the selected first and second aperture stops in the first and second directions, respectively.

Abstract: Position detection apparatus includes illumination optical system for illuminating target, detection optical system for forming image of the illuminated target illuminated on photoelectric converter, first array having first aperture stops, second array having second aperture stops, first driving mechanism for arranging the selected first aperture stop on pupil of the illumination optical system by driving the first array such that first aperture stop crossing optical axis of the illumination optical system moves in first direction, second driving mechanism for arranging the selected second aperture stop on pupil of the detection optical system by driving the second array such that second aperture stop crossing optical axis of the detection optical system moves in second direction. The first and second driving mechanisms fine-tune positions of the selected first and second aperture stops in the first and second directions, respectively.

Abstract: There is provided a pattern forming apparatus including a holding unit configured to suction and hold a substrate, and an optical system configured to detect, from a suction surface side of the substrate, an alignment mark formed on the substrate held by the holding unit. The pattern forming apparatus is provided with a wavelength separation element for performing wavelength separation between pattern forming light for forming a pattern on the substrate and alignment mark detection light for detecting the alignment mark.

Abstract: A detection apparatus that detects a mark formed on a substrate is provided. The detection apparatus includes a substrate holder configured to hold the substrate, an optical system accommodated in the substrate holder, an image sensor configured to capture an image of the mark from the reverse surface side of the substrate through the optical system, and a processor configured to perform detection processing for the mark based on the image of the mark captured by the image sensor. The processor corrects a detection value of the mark based on the position of the mark on the substrate in the height direction and information concerning the telecentricity of the optical system.

Abstract: There is provided a pattern forming apparatus including a holding unit configured to suction and hold a substrate, and an optical system configured to detect, from a suction surface side of the substrate, an alignment mark formed on the substrate held by the holding unit. The pattern forming apparatus is provided with a wavelength separation element for performing wavelength separation between pattern forming light for forming a pattern on the substrate and alignment mark detection light for detecting the alignment mark.

Abstract: A detection apparatus that detects a mark formed on a substrate is provided. The detection apparatus includes a substrate holder configured to hold the substrate, an optical system accommodated in the substrate holder, an image sensor configured to capture an image of the mark from the reverse surface side of the substrate through the optical system, and a processor configured to perform detection processing for the mark based on the image of the mark captured by the image sensor. The processor corrects a detection value of the mark based on the position of the mark on the substrate in the height direction and information concerning the telecentricity of the optical system.

Abstract: The illumination optical system is configured to illuminate a sample placed on an object plane with light. The illumination optical system includes multiple light source areas which are mutually coherent and arranged separately from one another in a pupil plane of the illumination optical system. Among distances from a center of a pupil of the illumination optical system to centers of the multiple light source areas, at least one of the distances is different from the other distances.

Abstract: A storage medium includes a program which causes a computer to execute a method of calculating a light intensity distribution on a pupil plane of an illumination optical system. The method includes: determining an impulse response function of a projection optical system by performing Fourier transform on a pupil function of the projection optical system; setting a length to a second zero point of the impulse response function as a response length, extracting, from elements forming a target pattern, only elements inside am area within radius which is response length, and determining a function indicating the extracted pattern as an image function; and obtaining the light intensity distribution based on the pupil function, the determined impulse response function, and the determined image function.

Abstract: A storage medium includes a program which causes a computer to execute a method of calculating a light intensity distribution on a pupil plane of an illumination optical system. The method includes: determining an impulse response function of a projection optical system by performing Fourier transform on a pupil function of the projection optical system; setting a length to a second zero point of the impulse response function as a response length, extracting, from elements forming a target pattern, only elements inside am area within radius which is response length, and determining a function indicating the extracted pattern as an image function; and obtaining the light intensity distribution based on the pupil function, the determined impulse response function, and the determined image function.