Abstract: Various embodiments of the present disclosure are directed to a photonic circuit for a vector-matrix operation. A source pixel is configured to generate a light beam. An optical fan-out structure is configured to generate a plurality of copies of the light beam. A plurality of modulator pixels are configured to respectively transmit the plurality of copies with individual transmissivities to generate a plurality of transmitted light beams. A plurality of detector pixels are configured to accumulate charge respectively in response to the plurality of transmitted light beams. A controller is configured to control the source pixel and the plurality of modulator pixels to modulate an intensity of the light beam and the individual transmissivities to perform the vector-matrix multiplication operation. The intensity is modulated to temporally encode an input row vector, and the individual transmissivities are modulated to temporally encode corresponding column vectors of a weight matrix.

Abstract: A method of manufacturing a semiconductor device includes dividing a number of dies along an x axis in a die matrix in each exposure field in an exposure field matrix delineated on the semiconductor substrate, wherein the x axis is parallel to one edge of a smallest rectangle enclosing the exposure field matrix. A number of dies is divided along a y axis in the die matrix, wherein the y axis is perpendicular to the x axis. Sequences SNx0, SNx1, SNx, SNxr, SNy0, SNy1, SNy, and SNyr are formed. p*(Nbx+1)?2 stepping operations are performed in a third direction and first sequence exposure/stepping/exposure operations and second sequence exposure/stepping/exposure operations are performed alternately between any two adjacent stepping operations as well as before a first stepping operation and after a last stepping operation. A distance of each stepping operation in order follows the sequence SNx.

Abstract: A method of manufacturing a semiconductor device includes dividing a number of dies along an x axis in a die matrix in each exposure field in an exposure field matrix delineated on the semiconductor substrate, wherein the x axis is parallel to one edge of a smallest rectangle enclosing the exposure field matrix. A number of dies is divided along a y axis in the die matrix, wherein the y axis is perpendicular to the x axis. Sequences SNx0, SNx1, SNx, SNxr, SNy0, SNy1, SNy, and SNyr are formed. p*(Nbx+1)?2 stepping operations are performed in a third direction and first sequence exposure/stepping/exposure operations and second sequence exposure/stepping/exposure operations are performed alternately between any two adjacent stepping operations as well as before a first stepping operation and after a last stepping operation. A distance of each stepping operation in order follows the sequence SNx.

Abstract: A method includes generating a diffraction map from a plurality of target patterns, generating a favorable zone and an unfavorable zone from the diffraction map, placing a plurality of sub-resolution patterns in the favorable zone, and performing a plurality of geometric operations on the plurality of sub-resolution patterns to generate modified sub-resolution patterns. The modified sub-resolution patterns extend into the favorable zone, and are away from the unfavorable zone.

Abstract: A method includes generating a diffraction map from a plurality of target patterns, generating a favorable zone and an unfavorable zone from the diffraction map, placing a plurality of sub-resolution patterns in the favorable zone, and performing a plurality of geometric operations on the plurality of sub-resolution patterns to generate modified sub-resolution patterns. The modified sub-resolution patterns extend into the favorable zone, and are away from the unfavorable zone.

Abstract: A method of manufacturing a semiconductor device includes dividing a number of dies along an x axis in a die matrix in each exposure field in an exposure field matrix delineated on the semiconductor substrate, wherein the x axis is parallel to one edge of a smallest rectangle enclosing the exposure field matrix. A number of dies is divided along a y axis in the die matrix, wherein the y axis is perpendicular to the x axis. Sequences SNx0, SNx1, SNx, SNxr, SNy0, SNy1, SNy, and SNyr are formed. p*(Nbx+1)-2 stepping operations are performed in a third direction and first sequence exposure/stepping/exposure operations and second sequence exposure/stepping/exposure operations are performed alternately between any two adjacent stepping operations as well as before a first stepping operation and after a last stepping operation. A distance of each stepping operation in order follows the sequence SNx.

Abstract: A method includes generating a diffraction map from a plurality of target patterns, generating a favorable zone and an unfavorable zone from the diffraction map, placing a plurality of sub-resolution patterns in the favorable zone, and performing a plurality of geometric operations on the plurality of sub-resolution patterns to generate modified sub-resolution patterns. The modified sub-resolution patterns extend into the favorable zone, and are away from the unfavorable zone.

Abstract: A method includes generating a diffraction map from a plurality of target patterns, generating a favorable zone and an unfavorable zone from the diffraction map, placing a plurality of sub-resolution patterns in the favorable zone, and performing a plurality of geometric operations on the plurality of sub-resolution patterns to generate modified sub-resolution patterns. The modified sub-resolution patterns extend into the favorable zone, and are away from the unfavorable zone.

Abstract: A method of manufacturing a semiconductor device includes dividing a number of dies along an x axis in a die matrix in each exposure field in an exposure field matrix delineated on the semiconductor substrate, wherein the x axis is parallel to one edge of a smallest rectangle enclosing the exposure field matrix. A number of dies is divided along a y axis in the die matrix, wherein the y axis is perpendicular to the x axis. Sequences SNx0, SNx1, SNx, SNxr, SNy0, SNy1, SNy, and SNyr are formed. p*(Nbx+1)?2 stepping operations are performed in a third direction and first sequence exposure/stepping/exposure operations and second sequence exposure/stepping/exposure operations are performed alternately between any two adjacent stepping operations as well as before a first stepping operation and after a last stepping operation. A distance of each stepping operation in order follows the sequence SNx.

Abstract: A method of enhancing a layout pattern includes determining a target layout pattern comprising a disk shape associated with a hole. The method includes defining a polygon having a plurality of vertices on the disk shape. The plurality of vertices coincide with a boundary of the disk shape and the polygon is an initial layout pattern of the hole. The method includes performing an iterative correction of the initial layout pattern. The iterative correction includes projecting the layout pattern of the hole onto a substrate, determining an error between the target layout pattern and the projected layout pattern, and adjusting the layout pattern by moving the vertices of the polygon to generate a next iteration of the layout pattern. The method includes continuing the adjusting, projecting, and determining until a criterion is satisfied and a final iteration of the layout pattern of the hole is generated.

Abstract: A method includes generating a diffraction map from a plurality of target patterns, generating a favorable zone and an unfavorable zone from the diffraction map, placing a plurality of sub-resolution patterns in the favorable zone, and performing a plurality of geometric operations on the plurality of sub-resolution patterns to generate modified sub-resolution patterns. The modified sub-resolution patterns extend into the favorable zone, and are away from the unfavorable zone.

Abstract: An extreme ultraviolet lithography (EUVL) method includes providing at least two phase-shifting mask areas having a same pattern. A resist layer is formed over a substrate. An optimum exposure dose of the resist layer is determined, and a latent image is formed on a same area of the resist layer by a multiple exposure process. The multiple exposure process includes a plurality of exposure processes and each of the plurality of exposure processes uses a different phase-shifting mask area from the at least two phase-shifting mask areas having a same pattern.

Abstract: An extreme ultraviolet lithography (EUVL) method includes providing at least two phase-shifting mask areas having a same pattern. A resist layer is formed over a substrate. An optimum exposure dose of the resist layer is determined, and a latent image is formed on a same area of the resist layer by a multiple exposure process. The multiple exposure process includes a plurality of exposure processes and each of the plurality of exposure processes uses a different phase-shifting mask area from the at least two phase-shifting mask areas having a same pattern.

Abstract: A method of manufacturing a semiconductor device includes dividing a number of dies along an x axis in a die matrix in each exposure field in an exposure field matrix delineated on the semiconductor substrate, wherein the x axis is parallel to one edge of a smallest rectangle enclosing the exposure field matrix. A number of dies is divided along a y axis in the die matrix, wherein the y axis is perpendicular to the x axis. Sequences SNx0, SNx1, SNx, SNxr, SNy0, SNy1, SNy, and SNyr are formed. p*(Nbx+1)?2 stepping operations are performed in a third direction and first sequence exposure/stepping/exposure operations and second sequence exposure/stepping/exposure operations are performed alternately between any two adjacent stepping operations as well as before a first stepping operation and after a last stepping operation. A distance of each stepping operation in order follows the sequence SNx.

Abstract: A method of enhancing a layout pattern includes determining a target layout pattern comprising a disk shape associated with a hole. The method includes defining a polygon having a plurality of vertices on the disk shape. The plurality of vertices coincide with a boundary of the disk shape and the polygon is an initial layout pattern of the hole. The method includes performing an iterative correction of the initial layout pattern. The iterative correction includes projecting the layout pattern of the hole onto a substrate, determining an error between the target layout pattern and the projected layout pattern, and adjusting the layout pattern by moving the vertices of the polygon to generate a next iteration of the layout pattern. The method includes continuing the adjusting, projecting, and determining until a criterion is satisfied and a final iteration of the layout pattern of the hole is generated.

Abstract: Photolithography apparatus includes a radiation source, a mask to modify radiation from the radiation source so the radiation exposes photoresist layer disposed on a semiconductor substrate in patternwise manner, a wafer stage, and a controller. The wafer stage supports the semiconductor substrate. The controller determines target total exposure dose for the photoresist layer and target focus position for the photoresist layer; and controls exposure of first portion of the photoresist layer to first exposure dose of radiation at first focus position using first portion of the mask, moving the semiconductor substrate relative to the mask; and exposure of the first portion of the photoresist layer to second exposure dose of radiation using second portion of the mask at second focus position, and exposure of second portion of the photoresist layer to the second exposure dose at the second focus position using the first portion of the mask.

Abstract: A method of enhancing a layout pattern includes determining a target layout pattern comprising a disk shape pattern associated with an opening. The method includes defining a polygon having a plurality of vertices on the disk shape pattern. The plurality of vertices coincide with a boundary of the disk shape pattern and the polygon is an initial layout pattern of the opening. The method includes performing an iterative correction of the initial layout pattern. The iterative correction includes projecting the layout pattern of the opening onto a substrate, determining an error between the target layout pattern and the projected layout pattern, and adjusting the layout pattern by moving the vertices of the polygon to generate a next iteration of the layout pattern. The method includes continuing the adjusting, projecting, and determining until a criterion is satisfied and a final iteration of the layout pattern of the opening is generated.

Abstract: Various methods are disclosed herein for reducing (or eliminating) printability of mask defects during lithography processes. An exemplary method includes performing a first lithography exposing process and a second lithography exposing process using a mask to respectively image a first set of polygons oriented substantially along a first direction and a second set of polygons oriented substantially along a second direction on a target. During the first lithography exposing process, a phase distribution of light diffracted from the mask is dynamically modulated to defocus any mask defect oriented at least partially along both the first direction and a third direction that is different than the first direction. During the second lithography exposing process, the phase distribution of light diffracted from the mask is dynamically modulated to defocus any mask defect oriented at least partially along both the second direction and a fourth direction that is different than the third direction.

Abstract: A method of enhancing a layout pattern includes determining a target layout pattern comprising a disk shape pattern associated with an opening. The method includes defining a polygon having a plurality of vertices on the disk shape pattern. The plurality of vertices coincide with a boundary of the disk shape pattern and the polygon is an initial layout pattern of the opening. The method includes performing an iterative correction of the initial layout pattern. The iterative correction includes projecting the layout pattern of the opening onto a substrate, determining an error between the target layout pattern and the projected layout pattern, and adjusting the layout pattern by moving the vertices of the polygon to generate a next iteration of the layout pattern. The method includes continuing the adjusting, projecting, and determining until a criterion is satisfied and a final iteration of the layout pattern of the opening is generated.

Abstract: The present disclosure provides a photolithography mask. The photolithography mask includes a substrate that contains a low thermal expansion material (LTEM). A multilayer (ML) structure is disposed over the substrate. The ML structure is configured to reflect radiation. The ML structure contains a plurality of interleaving film pairs. Each film pair includes a first film and a second film. The first film and the second film have different material compositions. Each film pair has a respective thickness. For at least a subset of the plurality of the film pairs, the respective thicknesses of the film pairs change randomly along a predefined direction.