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1.
从理论上对加性白噪声和乘性白噪声之间存在关联作用的一维激光模型进行了理论分析,导出了光强定态几率分布表达式.得到随着噪声关联强度参数的增加,光强定态几率分布曲线变得平坦,且分布曲线峰值向光强减小方向移动;当噪声间存在完全负关联,且两个噪声强度相等,则先强定态几率分布曲线变为一条直线。  相似文献   

2.
对包含两种噪声的染料激光模型,应用泛函导数法得到光强分布的Fokker-Planck方程.计算了激光场定态分布函数,研究了这种模型的一级相变现象.结果表明,泵浦参量和泵浦噪声的相关时间是激光中出现一级相变的关键因素,量子噪声对一级相变也有影响.  相似文献   

3.
用不同的近似法计算了单模染料激光色损失模型的光强定态几率分布函数。在不同噪声自关联时间的条件下,将内插函数近似法结果、小关联时间近似法结果和实验值进行比较,结果表明,在很大噪声关联时间范围内,内插函数近似法与实验吻合很好。  相似文献   

4.
利用福克-普朗克方程的方法,讨论了RL回路中热涨涨产生的电流效应,分析了噪声参数对电流定态几率分布函数的影响。得到噪声关联时间对电汉定态几率分布函数曲线的影响与噪声强度的影响相反。  相似文献   

5.
讨论了具有指数关联形式的两白噪声驱动下,单模激光线性模型受信号调制后初态的输出信噪比,即瞬态第一个周期的随机共振现象. 也讨论了噪声间互关联程度和互关联时间及信号频率对信噪比的影响,并和定态的随机共振进行了比较.  相似文献   

6.
研究周期混合信号和色关联噪声联合驱动下的单模激光系统的随机共振现象,运用线性近似的方法得到输出信号光强的功率谱和信噪比.研究表明:信噪比都随泵噪声和量子噪声出现传统的随机共振现象;并讨论噪声的互关联时间和两信号的频率、振幅对信噪比的影响.  相似文献   

7.
采用信号直接调制色泵噪声的单模激光增益模型,用线性化近似方法研究了反映激光动力学统计性质的光强相关函数,发现泵噪声的自关联时间相当于力学中阻尼振荡的阻尼系数,它的大小决定光强相关函数随时间t的演化形式.  相似文献   

8.
讨论O-U噪声驱动下基因选择模型,研究O-U噪声参数对该模型定态性质的影响.计算结果表明O-U噪声的噪声强度比噪声关联时间对基因单倍体定态几率分布有更大影响,噪声的有色性有利于分离不同基因的单倍体.  相似文献   

9.
谊文主要研究关联双态噪声驱动欠阻尼谐振子模型中的随机共振现象,分析井讨论了互关联不随时间变化争受周期信号调制下系统的输出特性.研究发现:周期调制互关联使得互关联强度进入系统输出表达式,调节互关联强度,可以在信号放大率随输入信号频率变化曲线上观察到双重随机共振现象.  相似文献   

10.
推导了在乘性色噪声驱动下分子马达定态几率流的表达式。通过解析计算和数值模拟得到,加性白噪声不能驱动分子以达产生定向运动;在一维周期惯性锯齿势中,随着噪声强度的增加,定态几率流增大;随着噪声自关联时间参数的增加定态几率流反而减小。  相似文献   

11.
采用周期矩形脉冲序列和噪声作用下的单模激光损失模型,将脉冲信号通过傅利叶变换展开为三角函数的形式作为输入信号,并运用线性近似的方法计算得到了输出信号光强的功率谱和信噪比.讨论了系统的随机共振现象,研究结果发现:不仅系统的信噪比随量子噪声关联系数的变化出现了传统的随机共振现象;而且信噪比随脉信号的周期T和脉冲宽度τ的变化曲线出现了新的随机共振现象,当周期T和脉宽τ满足τ/T=1/2时,系统共振最强;周期脉冲信号的振幅越大,共振现象越明显.  相似文献   

12.
Cihan Saclioglu 《Resonance》2010,15(2):104-115
When the small angle approximation is not made, the exact solution of the simple pendulum is a Jacobian elliptic function with one real and one imaginary period. Far from being a physically meaningless mathematical curiosity, the second period represents the imaginary time the pendulum takes to swing upwards and tunnel through the potential barrier in the semi-classical WKB approximation1 in quantum mechanics. The tunneling here provides a simple illustration of similar phenomena in Yang-Mills theories describing weak and strong interactions.  相似文献   

13.
This paper presents in terms of a three-dimensional surface a technique for a visual as well as mathematical treatment of broad generality of the RL, RC and LC one-ports. An examination of the partial fraction terms of all the two-element series and parallel components which make up the canonic one-ports indicates that seven different types of terms are all that occur. The real and imaginary parts of all such functions for s = ? + j? may be represented geometrically by a surface in three-space. It is found that all the real and imaginary part functions are geometrically 1) a plane parallel or inclined to Aar the a, o plane; 2) the basic surface, given by 2 + 2' A > O, located in various positions with respect to the axes; or 3) a combination of the plane and basic surface. The driving function of any two-element-kind one-port is the sum of some combination of the real and imaginary part functions and so is represented by a sum of some combination of the canonic surfaces.  相似文献   

14.
利用辛算法计算一维无限深势阱的含时薛定谔方程,解得的波函数的图象与其绝时误差的图象完全相似,这说明各点的相时误差趋向于一个固定值。经计算相时误差在各个X格点处完全相同。波函数相时误差随时间的演变表现出一定的规律性,其实数部分和虚数部分的相时误差周期性地在正负之间来回变化。波函数的实数部分和虚数部分的相时误盖之间有类似于测不准原理的关系,一个相时误差趋向于极小时另一个相时误差趋向于极大,两的乘积为一稳定的小数,随着时间的推进这一小数的绝时值缓慢增大。  相似文献   

15.
文章采用介电谱方法对升温过程中乙醇的复介电常数实部ε’和虚部ε″随温度T的变化进行了测量。结果表明,升温过程中在100K~180K的温度范围内ε’主要有两个变化过程Kα和Cd,而ε″也有两个变化过程Pα和Ld。  相似文献   

16.
利用可定化J-自伴算子的谱函数,对于Krein空间上J-正常算子N的可定化性与其实部、虚部的可定化性之间的关系做了讨论.指出若N的实部或虚部中有一个为可定化算子(强可定化算子、一致可定化算子),则N是可定化的(强可定化的、一致可定化的),且通过例子说明该结论的逆命题并不成立.  相似文献   

17.
复变函数由实部和虚部两个二元函数组成,其图形需要在四维空间中显示,与二元实变函数相比,复变函数相对不容易理解,并且一些复变函数有着与实变函数截然不同的特征。借助MATLAB软件将复变函数可视化,使抽象问题具体化、直观化,从而加深学生对复变函数特征的理解。  相似文献   

18.
Three-, 5-, and 7-year-olds and adults ( N = 64) listened to stories depicting 2 protagonists of different ages (infant and child or child and grownup) that encounter an entity that looks like a real (e.g., a snake) or an imaginary (e.g., a ghost) fear-inducing creature. Participants predicted and explained each protagonist's intensity of fear. Results showed significant age-related increases in knowledge that infants and adults would experience less intense fears than young children and that people's fears are causally linked to their cognitive mental states. Across age, stories involving imaginary beings elicited more frequent mental explanations for fear than stories about real creatures. Results are discussed in relation to children's developing awareness of the mind as mediating between situations and emotions.  相似文献   

19.
Children around 4, 5, and 7 years old (N = 48) listened to scenarios depicting a child alone or accompanied by another person (mother, father, friend) who encounters an entity that looks like a real or an imaginary fear‐inducing creature. Participants predicted and explained each protagonist’s fear intensity and suggested coping strategies. Results showed age‐related increases in judgments that different people will experience different intensities of fear in the same situation. With age, children also demonstrated increasing knowledge that people’s minds can both induce and reduce fear, especially in situations involving imaginary creatures. Suggestions of reality affirmation strategies (e.g., reminding oneself of what is real vs. not real) significantly increased with age, whereas positive pretense strategies (e.g., imagining it is a friendly ghost) significantly decreased.  相似文献   

20.
主要讨论了Phragmen-Lindelof原则在有界区域边界上有不解析点的函数;在无界区域上满足适当条件函数的最大模的状态;对在有界区域上的解析函数f(z),其实部或虚部有界,则在该区域内|f(z)|有界.  相似文献   

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