On path lengths modulo three

We show that between any two nodes of a cubic, planar, three-connected graph there are three paths whose lengths are 0, 1, and 2 modulo 3, respectively. The proof is by a rather extensive case analysis. Counterexamples show that all three hypotheses (i.e., planarity, degree-three, and three-connectivity) are necessary.     

Geometrical study of paraxial light beam transmission in free space

By introducing an imaginary space transform curvature ρ_s, a complex space called Riemannian space is constructed, in which the light propagating in free space has the trajectory of straight line while propagating. Moreover, this curvature couples with that of the wave front of the paraxial beam ρ_w, and therefore a complex curvature ρ_c is constructed, which can be employed to investigate the behavior of the light transmission and to generalize the ABCD law. Project supported by the National Hi-Tech Inertial Confinement Fusion Committee, the Guangdong Natural Science Foundation the Postdoctoral Foundation of Guangdong and National Postdoctoral Foundation of China.     

GaN材料系列的研究进展

ＧａＮ及其合金作为第三代半导体材料具有一系列优异的物理和化学性质，在光电子器件，高温大功率电子器件及高频微波器件应用方面具有广阔的前景，已成为当前高科技领域的研究重点，论述了这种材料的研究历史与发展现状，物理与化学性质，薄膜的生长方法及在光学电子和微电子器件应用于方面的研究进展。     

无源微波遥感用于地震预报的实验研究

对无源微波遥感用于地震预报在理论研究的基础上对不同岩性不同结构的岩石试件进行了加载实验，测量了岩石试件的微波辐射随载荷的变化．实验得出：岩石试件的微波辐射能量随岩石应力状态变化而显著变化；而且，不同的波段变化的幅度不同；同一波段不同极化方式的波随应力变化的变化量也不同；微波辐射能量的变化能够被卫星微波遥感探测器探测到．实验还发现，岩石试件临破裂前出现明显的微波辐射异常．     

四溴双酚A锑铝双金属化合物的合成及其阻燃性能

以四溴双酚Ａ（ＴＢＡ）合成了在水和空气中稳定的四溴双酚Ａ合锑铝双金属化合物（ＴＢＡＳＡ）．通过ＩＲ、１ＨＮＭＲ和元素分析予以表征，并研究了其对聚乙烯（ＰＥ）和聚环氧乙烷（ＰＥＯ）的阻燃性能．结果表明，这种分子中含有溴、锑和铝的化合物，对聚乙烯和聚环氧乙烷等高聚物材料有高的阻燃性能与消烟效果．     

稳态锁模产生4ps激光脉冲

首次利用ＧａＡｓ光电导开关，控制Ｎｄ：ＹＬＦ激光器腔内Ｑ值，实现稳态锁模，获得脉宽和能量稳定性极高的４ｐｓ激光脉冲。     

准连续Ti~(3+):Al_2O_3可调谐激光的研究

本文给出了Ti~(3+):Al_2O_3的准连续可调谐激光的实验结果。采用Nd:YAG内腔倍频532nm的准连续输出作为泵浦源,得到Ti~(3+):Al_2O_3的连续可调谐输出。波长覆盖范围为685nm到821nm。最大输出功率为293mW,斜率效率为20％,在805nm处的窄谱输出功率达240mW,总体转换效举为26％。     

Growth and optical properties of a new self-Q-switched laser crystal: Cr:Yb3Al5O12

Cr⁴⁺:YbAG (Cr⁴⁺:Yb₃Al₅O₁₂) crystal with a size up to Φ24 mm×30 mm was grown by the Czochralski method. In the absorption spectrum, there are two absorption bands at 939 and 969 nm, respectively, which are suitable for InGaAs diode laser pumping, and there is an absorption band at 1030 nm, which is suitable for passive Q-switched laser output at 1.03 μm. A broad emission spectrum from 970 to 1100 nm was exhibited from 940 nm wavelength pumping. This crystal is promising as a self-Q-switched laser crystal used for compact, efficient, highly stable, passive self-Q-switched thin chip solid-state lasers.     

语音合成ASIC的原理与设计方法

本文阐述了语音合成专用集成电路(ASIC)的数字信号处理原理.采用波形自适应增量调制编码方法,研究并解决了语音信号的压缩与加密.用半定制标准单元CAD设计方法,CMOS工艺,完成了32K ROM 6秒语音ASIC芯片的设计.     

The Drazin inverses of products and differences of orthogonal projections

In this note, the Drazin inverses of products and differences of orthogonal projections on a Hilbert space are established.