We are not able to install and run the softare. rev 2020.11.24.38066, The best answers are voted up and rise to the top, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. Is there anyone can help me with this, thanks. It is possible to have a reflection coefficient greater than 1 without violating any passivity conditions. Asking for help, clarification, or responding to other answers. Also did you mention that for one of $\psi_{II}$ and $\psi_{III}$ : $\frac{d}{dx} = \frac{d}{d\xi}$ and for the other $\frac{d}{dx} = -\frac{d}{d\xi}$, Meaning of transmission coefficient greater than one in a potential well problem, mathworld.wolfram.com/AiryDifferentialEquation.html, “Question closed” notifications experiment results and graduation, MAINTENANCE WARNING: Possible downtime early morning Dec 2/4/9 UTC (8:30PM…. In such cases, how do you define transmission coefficient? Maths revision video and notes on the topic of factorising quadratics with a coefficient of x squared greater than one. How to make changes in the makefile to be successful to install and run the software. 0 & 0 & 0 & 0 & \mathrm{Ai}(-\xi_a) & \mathrm{Bi}(-\xi_a) \\ Why is Soulknife's second attack not Two-Weapon Fighting? What does it mean physically? Sometimes the reflection / transmission coefficient may be slightly greater than 1. that should work well. Change $\psi_{IV}$ to $G e^{-i k x}$ site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. \end{split} ), and I'm still hoping that this is due to a numerical error, but I want to hear some other ideas regarding this phenomenon. The time-independant Schrödinger equation for the wavefunction on each section reads, $$\frac{d^2\psi_I}{dx^2}+k^2\psi_I=0$$ And the aim is to extract the acoustic reflection(A side)/transmission(B side) coefficients for the square zone in the green dashed-line frame. where $\mathrm{Ai}(z)$ and $\mathrm{Bi}(z)$ are the standard Airy functions of the first and second kind. $\begingroup$ A laser amplifier has a transmission coefficient greater than 1 (aka gain), for some range of wavelengths. \end{matrix} \right) , where $\xi_a\equiv\xi(x=a)=\xi(-a)=q_0\epsilon^2$ and $\xi_0\equiv\xi(0)=q_0(\epsilon^2-1)$ appear as shorthand notations. So maybe you should give the details of your analytical solution, otherwise it is difficult to say anything for sure. Leider geht das nicht: Während sich die Wärmelehre bruchlos in die Mechanik eingliedern lässt, ist Why does Chrome need access to Bluetooth? I am completely not sure if this is significant for your problem. A \\ This is one more example that the raw result of measurement, without estimated uncertainty ("error bounds") is next to worthless. For example, a blue light filter appears blue because it absorbs red and green wavelengths. You can choose values of parameters which will give transmission coefficients greater than 1, and that would appear to violate conservation of energy. B \\ --University of Arizona. wie im Fall der Wärme. About trianlge barrier: in the well: $k^2=\frac{2m(E-V)}{\hbar^2} = \frac{2mV_0}{\hbar^2}(\frac{E}{V_0}-\frac{|x|}{a}+1)=k_0^2(\epsilon^2-\frac{|x|}{a}+1)$ so you must rewrite equations for $\psi_{II}$ and $\psi_{III}$. Or someone can show me how to write the input parameter. If R 0 equals 1, each existing infection causes one new infection. Also see this article. Now, I've gone over my calculations a dozen times, and I still can't spot a mistake, so I want to know wheather it's possible to have a transmission coefficient greater than one for certain values of energy, like in this scenario.