Abstract: A method for designing a hybrid surface optical system comprises establishing a first initial system; keeping the first initial system unchanged and calculating a plurality of first feature data points, and fitting the first feature data points to obtain a spherical surface; repeating such steps until all spherical surfaces are obtained; calculating a plurality of second feature data points, and fitting the plurality of second feature data points to obtain an aspheric surface; repeating such steps until all aspheric surfaces are obtained; calculating a plurality of third feature data points, and fitting the plurality of third feature data points to obtain a freeform surface; repeating such steps until all freeform surfaces are obtained.

Abstract: A point-by-point design method for off-axis aspheric optical system, in which feature light rays from different field angles and aperture coordinates are considered. Some of the feature data points are calculated first and surface fitted into an initial aspheric surface. Then, intermediate point calculations, feature data point calculations, and aspheric surface fitting were repeated continuously to calculate remaining feature data points and the desired aspheric surface are repeated continuously to calculate remaining feature data points and a desired aspheric surface. A least-squares method with a local search algorithm is used for aspheric surface fitting and deviations in both the coordinates and normals are used to reduce error.

Abstract: An off-axis hybrid surface three-mirror optical system comprises a primary mirror, a secondary mirror, a tertiary mirror, and an image sensor. A reflective surface of the primary mirror is a sixth-order polynomial freeform surface of xy. A reflective surface of the secondary mirror is a sixth-order polynomial aspheric surface of xy. A reflective surface of the a tertiary mirror is a spherical surface of xy.

Abstract: An off-axis aspheric three-mirror optical system comprises a primary mirror, a secondary mirror, and a tertiary mirror. Relative to a first three-dimensional rectangular coordinates system in space, a second three-dimensional rectangular coordinates system is defined by a primary mirror location, a third three-dimensional rectangular coordinates system is defined by a secondary mirror location, and a fourth three-dimensional rectangular coordinates system is defined by a tertiary mirror location. The primary mirror in the second three-dimensional rectangular coordinates system, the secondary mirror in the third three-dimensional rectangular coordinates system, and the tertiary mirror in the fourth three-dimensional rectangular coordinates system are all sixth-order polynomial aspheric.

Abstract: A method for designing a hybrid surface optical system comprises establishing a first initial system; keeping the first initial system unchanged and calculating a plurality of first feature data points, and fitting the first feature data points to obtain a spherical surface; repeating such steps until all spherical surfaces are obtained; calculating a plurality of second feature data points, and fitting the plurality of second feature data points to obtain an aspheric surface; repeating such steps until all aspheric surfaces are obtained; calculating a plurality of third feature data points, and fitting the plurality of third feature data points to obtain a freeform surface; repeating such steps until all freeform surfaces are obtained.

Abstract: An off-axis hybrid surface three-mirror optical system comprises a primary mirror, a secondary mirror, a tertiary mirror, and an image sensor. A reflective surface of the primary mirror is a sixth-order polynomial freeform surface of xy. A reflective surface of the secondary mirror is a sixth-order polynomial aspheric surface of xy. A reflective surface of the a tertiary mirror is a spherical surface of xy.

Abstract: A method for designing an off-axis aspheric optical system comprises establishing an initial system and selecting a plurality of feature rays Ri (i=1, 2 . . . K); solving a plurality of feature data points (P1, P2, . . . Pm) to obtain an initial off-axis aspheric surface Am by surface fitting the plurality of feature data points (P1, P2, . . . Pm), wherein m is less than K; introducing an intermediate point Gm to solve a (m+1)th feature data point Pm+1, and fitting a plurality of feature data points (P1, P2, . . . Pm, Pm+1) to obtain an off-axis aspheric surface Am+1; repeating such steps until a Kth feature data point PK is solved, and fitting a plurality of feature data points (P1, P2, . . . PK) to obtain an off-axis aspheric surface AK; and repeating above steps until all the aspheric surfaces of the off-axis aspheric optical system are obtained.

Abstract: An off-axis aspheric three-mirror optical system comprises a primary mirror, a secondary mirror, and a tertiary mirror. Relative to a first three-dimensional rectangular coordinates system in space, a second three-dimensional rectangular coordinates system is defined by a primary mirror location, a third three-dimensional rectangular coordinates system is defined by a secondary mirror location, and a fourth three-dimensional rectangular coordinates system is defined by a tertiary mirror location. The primary mirror in the second three-dimensional rectangular coordinates system, the secondary mirror in the third three-dimensional rectangular coordinates system, and the tertiary mirror in the fourth three-dimensional rectangular coordinates system are all sixth-order polynomial aspheric.