宽光谱棱镜型太阳光谱仪设计

为实现大气层外太阳光谱辐照度(SSI)变化的长期例行监测,设计了一种星载宽光谱太阳光谱仪结构。全系统仅使用单片折反式曲面棱镜实现太阳光谱250～2500 nm的分光,并通过棱镜转动实现谱平面上多探测器的同步扫描探测;同时基于Huygens子波点扩展函数（PSF）仿真了光谱仪的光谱响应函数（SRF）和光谱分辨率。分光棱镜在±2.5°扫描转角内的全谱段子午像差小于8μm;光谱分辨率在紫外谱段(250～400 nm)为0.7～3.5 nm,可见/近红外谱段(400～1000 nm)为3.5～35.0 nm,短波红外谱段(1000～2500 nm)内为28.5～41.2 nm。整个系统结构简单紧凑,性能稳定可靠,分光和像差校正能力满足大气层外太阳光谱辐照度长期监测需求。     

铈掺杂高钆镥氧化物玻璃制备和光谱性能

实验中采用高温熔融法制备了一系列高钆镥硼硅酸盐新型玻璃体系样品,研究了这种新型玻璃体系的玻璃形成区,测量了样品的玻璃稳定性和密度。结果表明,玻璃体系的玻璃形成区较广,玻璃稳定性良好（析晶温度与转变温度的差为262 ℃）,且玻璃样品的密度达到5 g/cm3。以此种玻璃体系作为基质掺入Ce3+离子,测量其透过光谱、激发光谱、发射光谱、X射线激发发射光谱以及Gd3+离子的衰减时间。结果表明,玻璃的透过性能适合Ce3+离子的掺杂,并且Gd2O3和Lu2O3对闪烁体发光都具有积极的影响,同时研究了Gd3+离子和Ce3+离子的能量传递机理及最佳能量传递掺杂摩尔比。从玻璃的物理性能和光谱性能考虑,这种闪烁玻璃系统具有广泛应用于高能物理材料中的一定潜力。     

A note on the spectral distribution of toeplitz matrices

An elementary and direct proof of the Szegö formula is given, for both eigen and singular values. This proof, which is based on tools from linear algebra and does not rely on the theory of Fourier series, simultaneously embraces multilevel Toeplitz matrices, block Toeplitz matrices and combinations of them. The assumptions on the generating

function f are as weak as possible; indeedf is a matrix-valued function of p variables, and it is only supposed to be integrable. In the case of singular values f(x), and hence the block p-level Toeplitz matrices it generates, are not even supposed to be square matrices. Moreover, in the asymptotic formulas for eigen and singular values the test functions involved are not required to have compact support.     

Sommerfeld Radiation Condition at Threshold

We prove Besov space bounds of the resolvent at low energies in any dimension for a class of potentials that are negative and obey a virial condition with these conditions imposed at infinity only. We do not require spherical symmetry. The class of potentials includes in dimension ≥3 the attractive Coulomb potential. There are two boundary values of the resolvent at zero energy which we characterize by radiation conditions. These radiation conditions are zero energy versions of the well-known Sommerfeld radiation condition.     

On bipartite graphs with small number of laplacian eigenvalues greater than two and three

All connected bipartite graphs with exactly two Laplacian eigenvalues greater than two are determined. Besides, all connected bipartite graphs with exactly one Laplacian eigenvalue greater than three are determined.     

On the spectral radius of tricyclic graphs with a fixed diameter

A tricyclic graph is a connected graph with n vertices and n + 2 edges. In this article, we determine graphs with the largest spectral radius among the n-vertex tricyclic graphs with given diameter d.