# What is Transmission coefficient: Definition and 39 Discussions

The transmission coefficient is used in physics and electrical engineering when wave propagation in a medium containing discontinuities is considered. A transmission coefficient describes the amplitude, intensity, or total power of a transmitted wave relative to an incident wave.

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1. ### Quantum mechanics - finite square well

In a) I get that T should be largest where V_0 is least wide, because when V_0 is infinitely wide the particle would be fully reflected. But I don't get how height in b) and energy levels height in c) correlates to T and R. Is it because of their k? I get the opposite answer from the correct...
2. ### Limits of Integration in the Transmission Coefficient

Initially '0' is the upper limit and ##a = \frac{Ze^2}{E}## is the lower limit. With change of variable ##x = \frac{Er}{Ze^2}##, for ##r=0##, ##x=0##, and for ##r=\frac{Ze^2}{E}##, ##x=1##, so 1 should be the lower limit. However, he takes 1 as the upper limit, and without a minus sign. Why is...
3. ### Complex Reflection and Transmission Coefficient in oblique incidence

Hello, Something has made me confused after studying the Snell equations these days. Regarding the Balanis Advanced engineering electromagnetic( the pages have been attached), and based on that the reflection and transmission coefficient can be complex I need to rewrite the (5-23a) again...
4. ### How to solve this to calculate the input impedance?

How did you find PF?: Google search I got a problem, how to calculate this formula from euler to imajiner? or how calculate this case?
5. ### WKB method transmission coefficient

Homework Statement: The Task is to calculate the Transmission coefficient with the WKB Approximation of following potential: V(x) = V_0(1-(x/a)²) |x|<a ; V(x) = 0 otherwise Homework Equations: ln|T|² = -2 ∫ p(x) dx I have inserted the potential in the equation for p(x) and recieved p(x) =...

18. ### Transmission Coefficient for Quantum Barrier

Homework Statement Picture of Problem: Homework Equations $$\psi(x) = A_n e^{ikx} + B_n e^{-ikx}$$ for n=1,2,3 The Attempt at a Solution I know i need to relate the wave functions $$A_n e^{ikx} + B_n e^{-ikx}$$ for n=1,2,3 (the three areas of the barrier - before barrier, inside barrier...
19. ### Approximate transmission coefficient of a square barrier

Homework Statement Two conductors are separated by an insulator. Model the insulator as a square barrier of height 0.01 keV and a width of 5nm. Determine the transmission coefficients for electrons of 7,000 meV. The only thing is I have to use the approximation formula for finding the...
20. ### Determine the transmission coefficient for an electron

I have an example problem in my book. I have uploaded an image. The part I can't figure out is how to do the last part of the problem to come up with the transmission coefficient. The book gives me a formula but when I plug in all the numbers from the formula into my calculator I get a...
21. ### Transmission coefficient in reaction rate theory

This question relates to rate constants of transition events. The transmission coefficient κ reduces the value of the rate constant compared to the transition state theory (TST) value. I understand κ to be defined as the probability that a reaction coordinate q will proceed to product given that...
22. ### QM - Transmission coefficient for square well

Homework Statement A steady stream of 5 eV electrons impinges on a square well of depth 10 eV. The width of the well is 7.65 * 10^-11 m. What fraction of electrons are transmitted?Homework Equations The following equation for the transmission coefficient, T, is given: T = [1 + \frac{V_0 ^2...
23. ### Does the Transmission Coefficient Affect Phase Relationships in Optics?

Hi I have a question on the transmission coefficient in classical optics. When we say that a medium has a transmittance of e.g. 99%, then 99% of the incident light intensity is transmitted. But will the light also acquire a phase? I tried searching the web, but all I found was this...
24. ### Transmission coefficient, quantum tunnelling

I have been trying to calculate the transmission coefficient for a quantum tunelling case, but I seem to get the coefficient value more than 1. How is that possible? The equation i used is based on the wikipedia page (I am unable to link because I am underpost). Also typically what are...
25. ### Delta potential: Transmission coefficient

Homework Statement Consider a double delta potential given by V(x) = c_+ \delta (x + \frac{L}{2}) + c_- \delta (x - \frac{L}{2}). The coherence between the amplitude A of an incoming wave from the left and the amplitude F of the outgoing wave to the right is given by: F = A \cdot...
26. ### Transmission Coefficient of a double delta function potential

V(x) = |g| (δ(x+L)+δ(x-L) Consider scattering from a repulsive twin-delta function potential. Calculate R and T. I'm mostly confused about computing the T coefficients for multiple barriers. Would I compute the T coefficient for the barrier at x = -L and at x = L seperately? Then...
27. ### Help with scilab code for calculating transmission coefficient

I seem to be getting some arbitrary values from my Scilab code for a function. I have to generate a graph showing the dependence of the transmission on the air gap separating two higher refractive index materials i.e. I want to plot "T" as a function of "d". T = \frac{1}{1 + \beta \sinh^2...
28. ### Transmission coefficient of spin-1/2 in magnetic field

Homework Statement A particle of mass m, (nonrelativistic) energy E, spin 1/2 and magnetic moment \mu*\sigma is traveling in the positive x-direction from large negative x. For x > 0, there is a constant magnetic field B in the positive z-direction. There is no field for x < 0. a) Find...
29. ### Quantum Transmission Coefficient

Hello. I have a question, mathematical in nature. Considering a potential step of height V0 and width a, the amplitude coefficient is t=\frac{2k_1k_2e^{-ik_1a}}{2k_1k_2\cos{k_2a}-i(k_1^2+k_2^2)\sin(k_2a)} Now the transmission coefficient is T=|t|^2 So I need to find the absolute value of...
30. ### Taylor Approximation (I think) on Transmission Coefficient

Homework Statement I have this equation: T=(1+\frac{U_{0}^{2}}{4E(U_{0}-E)}sinh^{2}(2 \alpha L))^{-1} Where α is given by: \alpha = \sqrt{ \frac{2m(U_{0}-E)}{\hbar^{2}}} I have to show that in the limit αL>>1 my equation is approximately given by...
31. ### Transmission coefficient in a barrier penetration.

An electron having total energy E=4.46 eV approaches a rectangular energy barrier with U=5.02 eV and L=949 pm. Calculate this probability, which is the transmission coefficient. I thought this would be an easy one, given that T=e-2GL and G=\sqrt{\frac{2m(U-E)}{H}} where H is the...
32. ### Question on Finding Transmission Coefficient

Homework Statement Find the transmission coefficient for the potential V(x)=-\alpha\left[\delta\left(x+a\right)+\delta\left(x-a\right)\right], where alpha and a are positive constants. Homework Equations T \equiv \frac{\left|F\right|^{2}}{\left|A\right|^{2}} The Attempt at a Solution...
33. ### MATLAB Need Urgent Help:Matlab code for Transmission coefficient for a Pc

Hi, I have written MATLAB code for Transmission coeficient for a one-dimensional photonic crystal,but i have problems with it.it does not result the right answer!:confused: could anyone help me about this? i use Transfer matrix method: An example: an ENG-DPS structure: %Transmission...
34. ### Transmission coefficient (quantum tunnelling)

Homework Statement What is transmission probability (T), when the incident particle energy (E) is equal to the energy of the barrier (U)? Homework Equations Equations to transmission and reflection probabilities. http://i950.photobucket.com/albums/ad348/gs5720/img099.png?t=1278212132...
35. ### Transmission Coefficient of a Rectangular Square Potential Barrier

If you have a rectangular square potential barrier of some height, say \lambda/L, and thickness L, what is the transmission coefficient and what is its value in the limit that L goes to 0? Thus you have the height of the barrier going to infinity, while the width goes to zero... Assuming...
36. ### Transmission Coefficient for two step potential

Homework Statement E>V_1 & V_2 So it's a step potential wave, setup. Let's set it up along the x axis. At x=0, there is the first step where it is V_1. At x=a, there is another step, where V_2>V_1. Show that the transmission coefficient is...
37. ### How Do You Calculate the Transmission Coefficient for a Finite Square Barrier?

Work out, with full details, the transmission coefficient for the finite square barrier given by: T = 1/{1+[(V_o ^2)/4E(V_o - E)]sinh^2 (k_2 a)} where T is the transimission probability
38. ### Tunneling and transmission coefficient

If an ensemble of quantum partcles, with energy E, traveling in x direction encounter a very wide potential barrier V0 > E, the ensemble wavefunction will exponentially decay within the barrier. I thought that meant that there was a small probability of detecting an electron within the...
39. J

### Transmission coefficient and the reflection coefficient

I tried to work out the transmission coefficient and the reflection coefficient for a case similar to the one referred by this website: http://www.chembio.uoguelph.ca/educmat/chm386/rudiment/models/barrier/barsola.htm but instead this time, I reverse the situation and now, that particle...