Abstract: A method is provided and includes several operations: arranging multiple channels extending in a first direction; arranging, in accordance with multiple weights of multiple macros, a first portion of the macro closer to a centroid of a core region of an integrated circuit than a second portion of the macros; and arranging the macros on opposite sides of the channels. The macros have multiple pins coupled to the channels interposed between the macros.

Abstract: A method for designing a freeform concave grating imaging spectrometer includes selecting a series of light rays incident from different positions of a slit as characteristic light rays. The coordinates and normal directions of characteristic data points at intersections of the characteristic light rays and a surface of a freeform concave grating are calculated. A freeform surface shape of the freeform concave grating is obtained by fitting, so that an initial structure is obtained. Then the initial structure is optimized.

Abstract: The present application relates to a nonsymmetric freeform surface optical system including a primary reflecting mirror, a secondary reflecting mirror, and a tertiary reflecting mirror. A light beam from an object is reflected on the primary reflecting mirror to form a first reflected light beam, the first reflected light beam irradiates the secondary reflecting mirror and is reflected to form a second reflected light beam, the second reflected light beam irradiates the third reflecting mirror and is reflected to form a third reflected light beam, and the third reflected light beam reaches an image surface to form an image. The nonsymmetric freeform surface optical system has no rotational symmetry and no meridional symmetry.

Abstract: The present application relates to a method for designing a nonsymmetric freeform surface optical system, and the method including the following steps establishing an initial plane system. The initial plane system is consistent with the expected system structure, but there is no focal power in the initial plane system. The image plane tilt angle of the initial plane system is defined as ?. The point-by-point method is used to calculate the coordinates and normal vectors of the data points used to construct the freeform surface. The iterative optical system is obtained by iteration; and the iterative optical system is optimized.

Abstract: A method for designing a freeform concave grating imaging spectrometer includes selecting a series of light rays incident from different positions of a slit as characteristic light rays. The coordinates and normal directions of characteristic data points at intersections of the characteristic light rays and a surface of a freeform concave grating are calculated. A freeform surface shape of the freeform concave grating is obtained by fitting, so that an initial structure is obtained. Then the initial structure is optimized.

Abstract: The present application relates to a nonsymmetric freeform surface optical system including a primary reflecting mirror, a secondary reflecting mirror, and a tertiary reflecting mirror. A light beam from an object is reflected on the primary reflecting mirror to form a first reflected light beam, the first reflected light beam irradiates the secondary reflecting mirror and is reflected to form a second reflected light beam, the second reflected light beam irradiates the third reflecting mirror and is reflected to form a third reflected light beam, and the third reflected light beam reaches an image surface to form an image. The nonsymmetric freeform surface optical system has no rotational symmetry and no meridional symmetry.

Abstract: A freeform concave grating imaging spectrometer includes a slit, a freeform concave grating, and an image surface. The lights incident from the slit is irradiated on the freeform concave grating to be dispersed and reflected, to form a reflected light beam. The reflected light beam is irradiated on the image surface, so that the lights of different wavelengths incident from the slit are separated and imaged on the image surface.