Analysis of glass homogeneity using the attaching interferometric data model neglects body distribution.To improve analysis accuracy,we establish the three-dimensional gradient index(GRIN) model of glass index by anal...Analysis of glass homogeneity using the attaching interferometric data model neglects body distribution.To improve analysis accuracy,we establish the three-dimensional gradient index(GRIN) model of glass index by analyzing fused silica homogeneity distribution in two perpendicular measurement directions.Using the GRIN model,a lithography projection lens with a numerical aperture of 0.75 is analyzed.Root mean square wavefront aberration deteriorates from 0.9 to 9.65 nm and then improves to 5.9 nm after clocking.展开更多
We prove the so-called Unitary Hyperbolicity Theorem,a result on hyperbolicity of unitary involutions.The analogous previously known results for the orthogonal and symplectic involutions are formal consequences of the...We prove the so-called Unitary Hyperbolicity Theorem,a result on hyperbolicity of unitary involutions.The analogous previously known results for the orthogonal and symplectic involutions are formal consequences of the unitary one.While the original proofs in the orthogonal and symplectic cases were based on the incompressibility of generalized Severi-Brauer varieties,the proof in the unitary case is based on the incompressibility of their Weil transfers.展开更多
基金supported by the Major National Science and Technology Project of China(No.2009ZX02205)
文摘Analysis of glass homogeneity using the attaching interferometric data model neglects body distribution.To improve analysis accuracy,we establish the three-dimensional gradient index(GRIN) model of glass index by analyzing fused silica homogeneity distribution in two perpendicular measurement directions.Using the GRIN model,a lithography projection lens with a numerical aperture of 0.75 is analyzed.Root mean square wavefront aberration deteriorates from 0.9 to 9.65 nm and then improves to 5.9 nm after clocking.
文摘We prove the so-called Unitary Hyperbolicity Theorem,a result on hyperbolicity of unitary involutions.The analogous previously known results for the orthogonal and symplectic involutions are formal consequences of the unitary one.While the original proofs in the orthogonal and symplectic cases were based on the incompressibility of generalized Severi-Brauer varieties,the proof in the unitary case is based on the incompressibility of their Weil transfers.
