增益模块长高比对输出功率和提取效率的影响

为了得到HF化学激光器的增益发生器较佳的模块尺寸,研究了增益模块长高比对输出功率及放大级提取效率的影响。使用基于变换坐标系的有限差分方法,计算了主振荡功率放大器（MOPA）结构HF激光器不同增益模块长高比条件下的主振荡器输出功率、放大级提取效率及经放大后的输出功率。计算结果表明：对于MOPA结构HF激光器而言,当增益体积一定、小信号增益曲线相同时,随着增益模块长高比的减小,主振荡器输出功率和经放大级放大后的输出功率将有所增加,但放大级的能量提取效率将降低;当增益模块长高比已经较小(小于５)时,进一步降低长高比对激光器输出功率和放大级提取效率的影响微弱。     

Summand absorbing submodules of a module over a semiring

An R-module V over a semiring R lacks zero sums (LZS) if $x+y=0$ implies $x=y=0$. More generally, we call a submodule W of V “summand absorbing” (SA) in V if $?x,y\in V:x+y\in W?x\in W,y\in W$. These arise in tropical algebra and modules over idempotent semirings, as well as modules over semirings of sums of squares. We explore the lattice of finite sums of SA-submodules, obtaining analogs of the Jordan–Hölder theorem, the noetherian theory, and the lattice-theoretic Krull dimension. We pay special attention to finitely generated SA-submodules, and describe their explicit generation.     

Fermat versus Wilson congruences,arithmetic derivatives and zeta values

We look at two analogs each for the well-known congruences of Fermat and Wilson in the case of polynomials over finite fields. When we look at them modulo higher powers of primes, we find interesting relations linking them together, as well as linking them with derivatives and zeta values. The link with the zeta value carries over to the number field case, with the zeta value at 1 being replaced by Euler's constant.     

弓形流道快速充电模块液冷板流动散热特性研究

采用数值方法对电动汽车快充模式下的液冷板散热特性进行模拟,设计四种水力半径相同、截面形状不同的弓形冷板槽道,研究不同流动特征下液冷板槽道截面特性对电动汽车快充模块散热的影响,结果表明:在相同水力半径条件下,弓形通道液冷板截面特征对冷板散热特性影响很大,且散热强弱顺序随Re增大发生转变,Re<265时,矩形(4×12mm)截面散热最好;Re>265时,方形通道截面散热最好。此外,各工况下圆形通道散热效果均表现为最差。