# What is Reflection coefficient: Definition and 42 Discussions

In physics and electrical engineering the reflection coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium. It is equal to the ratio of the amplitude of the reflected wave to the incident wave, with each expressed as phasors. For example, it is used in optics to calculate the amount of light that is reflected from a surface with a different index of refraction, such as a glass surface, or in an electrical transmission line to calculate how much of the electromagnetic wave is reflected by an impedance. The reflection coefficient is closely related to the transmission coefficient. The reflectance of a system is also sometimes called a "reflection coefficient".

Different specialties have different applications for the term.

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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. ### Evaluate reflectance of an aluminum mirror

Note: for some reason frequency on this lecture is indicated by \omega. I wanted to calculate the reflectance using one of these equations that were given to us during the lecture: R=1 where \omega < \omega_p...

18. ### Fiber Bragg Gratings Reflection Co-efficient

I am studying fiber bragg gratings for a project. I read the couple-mode theory and came across a plot of the reflection coefficient v/s wavelength used which had a global maxima at the Bragg wavelength. The plot was drawn for a constant value of the coupling constant κ. I don't understand this...
19. ### Clockwise rotation of the reflection coefficient w/ frequency

It is always considered that the evolution of the input reflection coefficient, ρ, of a LTI causal passive system with frequency, f, always presents a local clockwise rotation when plotted in cartesian axes (Re(ρ), Im(ρ)), e.g. in a Smith chart, as shown in the attached figure. It must...
20. ### Reflection coefficient calculation

Hi there, I am wondering how to calculate the reflection coefficient of walls upon incident light versus wavelengths,, thanks
21. ### Transmission Lines: Reflection Coefficient vs Frequency

Hey guys - I've been using this website to study transmission lines. (great study aid - posting for others to use. Great for smith charts) However, I've noticed this graph they have for load matching: I'm having trouble finding or understanding a relationship for reflection vs frequency...
22. ### Calculation of reflection coefficient

I've got a problem asking for the reflection coefficient of a system consisting of a ideal conductor covered with a thin layer of lossless dielectric. I just don't know what to do.How can I do it? Thanks
23. ### On the clockwise rotation of the reflection coefficient with frequency

It is well known that the evolution of the input reflection coefficient, ρ, of a LTI causal passive system with frequency, f, always presents a local clockwise rotation when plotted in cartesian axes (Re(ρ), Im(ρ)), e.g. in a Smith chart, as shown in the attached figure. It must appointed that...
24. ### Amplitude reflection coefficient for high to low refractive index

For a wave traveling from a medium with refractive index n1 to n2 with n2 > n1, the amplitude reflection coefficient is given by: r = (n2 - n1)/(n2 + n1) Consider a beam of light passing through a single pane of glass. There is a reflection at the front surface of the pane, with the...
25. ### Transmission line reflection coefficient

Hello, I am looking at the following calculation for the reflection coefficient of a transmission line using the formula ((ZL - ZO) / (ZL +ZO) I can understand it all apart from the last part (0.355e^j). Can someone please tell me how that figure was gained from (-0.354 + 0.030j) (216 + j15...
26. ### Solving schrodinger, reflection coefficient

Consider the potential V(x) = \begin{cases} 0, & x < -a & (I) \\ +W, & -a < x < a & (II) \\ 0, & x > a & (III) \end{cases} for a particle coming in from the left (-\infty) with energy E (0 < E < W). Give the solution to the Schrodinger equation for I, II and III and use these to...
27. ### Determining the Magnitude & Reflection Coefficient at 10 GHz

A radar of 10 GHz produces an electromagnetic plane wave. Conductance is 4 S/m and dielectric constant is 81. How do you ding the magnitude and reflection coefficient? Also the percent of the incident energy that is reflected?
28. ### Solving Reflection Coefficient for Step Potential: Why B ≠ 0?

Homework Statement I'm working through a step potential and I am confused as to why one of the coefficients doesn't go to zero. V(x) = 0 when x < 0; V(x) = V_not when x > 0; a. Calculate reflection coefficient when E < V_not I can solve the reflection part, it is a step towards it...
29. ### EM reflection coefficient off a conducting plane

Let's say there is a conducting plane of conductivity \sigma. Boundary conditions for above and below such plane are: E_1^t = E_2^t (D_2 - D_1 ) \cdot n = \rho i.e. tangential components of E field are continuous and perpendicular components of D are discontinuous because of surface charge...
30. ### Two definitions of wave reflection coefficient

The waves book by A.P.French gives two characterizations of the reflection coefficient for a 1-D traveling wave encountering an interface between two media. On one hand, he writes R = \frac{v_2 - v_1}{v_2 + v_1} where v_i are the wave speeds in the two media. Later on, he writes the reflection...
31. ### Determine Reflection Coefficient & Load Impedance: Slotted Line 150ohms

A slotted line used on a 150ohm lossless transmission line connected to an unknown load impedance, ZL. The voltage standing wave ration is found to be equal to 3. The distance of the first voltage maximum from the load is found to be 9 cm, and the first voltage minimum is located at 3 cm from...
32. ### Engineering How can I understand reflection coefficient for a certain circuit?

How can I understand "reflection coefficient" for a certain circuit? Homework Statement I'm a beginner in RF circuit, though I've learned something about low frequency oscillator design, some new concepts still confuse me a lot, like the "reflection coefficient". I google it and found...
33. ### Reflection coefficient (osmosis)

hello ppl, i have a question about the reflection coefficient... since the RC indicates the permeabilty of a membrane for a specific molecule...doesnt that mean (If the RC between 0 and 1) that the concentration of that molecule on both sides of the membrane will become the same after a while...
34. ### What is the reflection coefficient on a transmission line at a resistor halfway?

Homework Statement If I have a coaxial transmission line, with a resistor halfway through, and another resistor at the end, how do I calculate the reflection coefficient for the spot where the resistor is halfway? Here is a diagram of what I mean. Dashes and dots are are the lines, and }...
35. ### Reflection coefficient of the step function potential

Homework Statement Consider the step function potential: V(x) = \{ \begin{array}{*{20}c} {0,(x \le 0)} \\ {V_0 ,(x > 0)} \\ \end{array},Caculate the reflection coefficient,for the case E<V0,and comment on the answer Homework Equations - \frac{{\hbar ^2 }}{{2m}}\frac{{d^2 \psi...
36. ### Reflection coefficient of step potential

why reflection coefficient R=1 in step potential though there happens transmission also as a negative exponential when E<V0
37. ### Step potential - question about reflection coefficient

Hi. I've been trying to understand the phenomenon of step potential, when energy of particle E is higher than the potential V. Then we have solution on both sides of boundary in the form of wave functions... Is the reflection coefficient in this case simply (E-V)/E ?? Can anyone show me a...
38. ### Value of Voltage Reflection Coefficient

hi i was studying the "wave characteristics of transmission lines". while considering the lines with resistive termination, the term "voltage reflection coefficient(VRC)" came. With reference to the book, "Field and Wave Electromagnetics", by David K. Cheng, the following expression was...
39. ### QM binding energy and reflection coefficient

Homework Statement consider a potential given by V(x) = infinity x < 0 = 0 x > a = a negative function of x in between suppose it is known that the interior wave function is such that (1/u) (du/dx) at x=a = f(E) a. what is the binding energy of a...
40. ### Calculating Reflection Coefficient for a Potential Well

Homework Statement A potential well with V(x)=0 for x<0 and V(x) = Vo for x>0. The particle has energy E greater than Vo and is incident from the left side. Calculate the reflection coefficient. Homework Equations Relfection coefficient is given by R= (B*B)/(A*A) The Attempt at a...
41. ### Reflection coefficient at a copper boundary

Homework Statement Calculate the reflection coefficient of copper for radio waves at frequency 50Ghz and yellow light (wavelength = 0.6 micrometers) Homework Equations Reflection coefficient: R = E(r)^2/E(I)^2 = (1-n/1+n)^2 Where E(r) is the electric intensity of the reflected wave...
42. 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...