Reflection Definition and 917 Threads

My source is Walter A. Harrison:"Applied Quantum Mechanics" Section 5.4 p.83. When studying diatomic molecules such as N_2 one may make use of the high symmetry of the molecule with relfection planes σx,y,z. In Harrison it is said that each molecular orbital can be chosen to be even or odd under...

When photons reflect from a mirror coated with, say, an aluminium film... the reflection is presumably down to their interactions with free electrons in the metal (and each electron is in an unknown state before and after). Yet the interference does not go away if a mirror is inserted in one...

I have a question about complex reflection and transmission coefficients. For example, I am modeling a wave in air (medium 1) ## \varepsilon = \varepsilon_0 ## reflecting on, and transmitted to, a medium 2 with ## \varepsilon = \varepsilon' -j \varepsilon'' ## If the wave would have traveled...

Homework Statement Why is is that when we look in a mirror we expect to see a reflection equally as bright as the real image, but when we stand in front of a cliff and clap our hands we don't hear an echo as loud as the original sound? Homework Equations R = (z2 - z1)/(z2 + z1) The Attempt at...

We know that silicon has a FCC lattice with basis at [0,0,0] and [1/4,1/4,1/4]. The structure factor is S_{(hkl)} = \left[1 + e^{i\pi(h+k)} + e^{i\pi(l+k)} + e^{i\pi(h+l)} \right] \left[ 1+e^{i\frac{\pi}{2}(h+k+l)} \right] which should be zero for (222) plane. But measuring it carefully...

Hello there, Here is an elementary explanation about 'Free end reflection': http://www.physicsclassroom.com/mmedia/waves/free.cfm My question is: Say we radiate from a certain direction a rigid not hollow object, that is surrounded by gas or by vacuum, with electromagnetic or other type of...

I have 2 types of sound reflectors on the image attached. The angles are not proportional but you should get the idea. The black circle is the source, the black lines are the waves and the red lines are the reflections of the waves emitted by the source. My target is to reflect the sound waves...

Homework Statement Find the (exact) reflection of the vector v = (5, 1) across the line: y = 2x. Hint: A sketch of v and the line may suggest an approach. Homework Equations The Attempt at a Solution I found the matrix -3/5 6/5 4/5 2/5 which seems like it gives the reflection across y=2x...

When light encounters a boundary between a dense medium (glass) and a less dense one (air), it may undergo total internal reflection. But if there is another glass a short distance away, some light will jump the forbidden region by a tunneling process and enter the second glass medium. This jump...

I am familiar with the explanations for atomic absorption and emission line spectra and how the existence of discrete, fixed energy levels can give rise to the absorption/emission lines that are seen at only very particular frequencies of EM radiation. However, I have no intuitive understanding...

Homework Statement An object is placed 21 cm in front of a concave mirror of radius of curvature of 10 cm. A glass slab of thickness 3 cm and RI =1.5; is then placed close to the mirror. Find the position of the final image. Take distance of closer side of block as 1 cm from the mirror...

If a beam of light undergoes total internal reflection, are there any equations to determine the angle of reflection based on the angle of incidence? Snell's Law: ## n_1sinA = n_2sinB ## is to my knowledge only valid under medium-to-medium transmission (for B: [0, pi/2]), correct? If total...

Homework Statement Let T : R2→R2, be the matrix operator for reflection across the line L : y = -x a. Find the standard matrix [T] by finding T(e1) and T(e2) b. Find a non-zero vector x such that T(x) = x c. Find a vector in the domain of T for which T(x,y) = (-3,5) Homework EquationsThe...

When trying to explain reflection through the EM treatment of light waves, how do we account for the fact that the electric/magnetic field of the incoming light would penetrate into the medium from which it is reflecting off of? Diagrams like these: show the 'reflection point' on the axis of...

If two beams of light, in a vacuum, are projected towards each other will the beams be reflected ? If not what will happen ?

I don't quite understand the concept of field of view of a telescope... Specifically, I am trying to understand the advantages of reflecting and refracting telescopes compared with the other, and my textbook says that "Refracting telescopes have a wider field of view than reflectors of the same...

Hello, So I have a circuit where I input a square pulse with a source impedance and load impedance (which are just pure resistors) each of which can be varied and a transmission line circuit connecting them which is made up of resistors, capacitors, inductors in a lumped element model. I set...

Homework Statement Homework Equations Snell's Law n1sin(theta_1)=n2sin(theta_2) Total Internal Refraction: sin(theta_c)=(n_2/n_1) lambda_n=lambda_n The Attempt at a Solution So I drew the triangle and this is what I got, and well here is just a picture so far of what I have. [/B] I've...

Homework Statement Consider the set of operations in the plane that includes rotations by an angle about the origin and reflections about an axis through the origin. Find a matrix representation in terms of 2x2 matrices of the group of transformations (rotations plus reflections) that leaves...

So I've been looking into the Law of Reflection with Specular and Diffuse Reflection. I understand that electrons have a certain vibrational frequency in objects, and if a light wave matches that, that color wouldn't be observed. My question is, what if I took a red laser pointer and shined it...

Note that I am not addressing only specular reflection here, but both kinds. Anyway, so if I had light of a certain frequency incident upon a surface, will the light that reflects off that surface also have the same frequency? That would imply that it had retained the full 100% of its energy...

image upload no size limit http://postimage.org/][/PLAIN] image hosting adult The answer is saying the following, initial reflection + 0 or 1 further reflection only, not at lower surface must be straight and reach within 1cm of end. --------- How come 0 or 1 reflection only ? The length...

Homework Statement A cubic crystal has a spacing between atoms of d = 0.2 nm. What is the minimum energy for X-rays such that non-trivial Bragg reflection may occur (peak with n =1)? Write your answer in units of keV. Homework Equations 2dsinθ = nλ The Attempt at a Solution i have no idea...

Its always said that a reflected light ray acquires a phase shift equal to ## \pi ## if ## n_1 < n_2 ##. But considering the Fresnel coefficients, its revealed that its only for the s-polarization reflection coefficient that ## n_1 < n_2 ## causes the coefficient become negative. The...

Hi there, I've got a unit vector u^, arbitrary vector v, and a vector w which is the reflection of v in a line in the direction of u. I have already proved that w= 2 (u^.v)u^ - v. However, the next part of my question asks me to write w= Rv and find the components of the matrix R, taking the...

Homework Statement Unpolarized light hits a flat glass surface, 37.5 degrees to the surface's normal. The reflected light's polarization is investigated with a polaroid. The relationship between the max and min value of intensity from the polaroid when it is rotated is 4.0. What is the index of...

I don't think I understand Bragg's law, but I'd quite like to! There's loads of stuff online, but most of it is too complicated for me as a first year undergrad. My understanding was that x-rays get diffracted, but then my textbook says something about electric dipole moments (never heard of...

1. The problem statement: A ray of light is incident on a concave mirror. It is parallel to the principle axis and its height from principle axis is equal to the focal length of the mirror. the ratio of the distance of point B to the distance of the focus from the center of curvature is( AB is...

1. The problem: A plane mirror of length 2m is kept along the line y=-x as shown in the figure. An insect having velocity of 4 cm/s is moving along x-axis from far away. The time span for which the insect can see its image will be:A)50 sec B)25 sec C)25√2 sec D)50√2 sec 2.The answer...

Homework Statement How much of a wall 3m behind you can be observed in a 5 cm square mirror which is held centrally at a distance of 10 cm from your eye? Homework Equations None that I can think of. I think this is straight geometry. The Attempt at a Solution I know I have to use similar...

I am trying to write a java code where the user inputs the height at which a solid body approaches a sphere of radius R and outputs the angle ##\theta## at which the body bounces off the sphere. I have all my code written is just that I don't know how to derive the equation that calculates the...

Homework Statement [Imgur](http://i.imgur.com/VFT1haQ.png) Homework Equations reflection matrix = 2*projection matrix - Identity matrix The Attempt at a Solution Using the above equation, I get that B is the projection matrix and E is the reflection matrix. Can someone please verify if this...

$\textbf{Problem:}$ Let $T: \mathbb{R}^2 \rightarrow \mathbb{R}^2$ be the linear transformation that reflects each point through the $x_2$ axis. Make two sketches that illustrate properties of linear transformation. $\textbf{Solution:}$ Let $T(\textbf{x}) = \begin{bmatrix} -1 & 0 \\ 0 & 1...

Homework Statement A vertical mirror is placed at the origin. A ray of light coming from A is reflected by the mirror so that it passes through B. How far from the bottom does the ray hit the mirror? The coordinates are A = (11.4, 15.9) and B = (15.9, 4.7), in centimetres. Homework...

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...

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...

Feynman's first topic in his second lecture on QED is the nature by which light reflects off of a mirror. We work in ##\mathbb{R}^2##. Suppose we have a light source sitting at ##(-1,1)## and a photomultiplier sitting at ##(1,1)##, with a mirror along the x-axis. We also place a block between...

If incoming light to a parabola is parallel to the central axis the light is reflected through the focal point and the back to its source. What about light coming in not parallel to the central axis. What path do these rays take?

Hi there, I am wondering how to calculate the reflection coefficient of walls upon incident light versus wavelengths,, thanks

I'd like to begin by ignoring friction and center of gravity at the moment if that is possible...and throw out any other variables until I get the larger picture down and then I'd like to ask for a discussion including those items... The picture shows a block moving towards a ball...similar to...

I don't know from where this type of image corresponds to standing waves? http://www.stmary.ws/high school/physics/home/notes/waves/img7A.gif As at any point of time either original wave would be present or it's reflection as when the original wave would reach and hit wall then only it would...

Homework Statement A coating of n1 = 1.27 material is to be added to n2 = 1.50 glass, in order to make it "irridescent." a) What is the thinnest layer of material which will have a reflection maximum for normal-incidence light at BOTH 400 and 600 nm (vacuum) wavelength? b) This thickness will...

Homework Statement A coating of n1 = 1.33 material is to be added to n2 = 1.50 glass, in order to make it "irridescent." a) What is the thinnest layer of material which will have a reflection maximum for normal-incidence light at BOTH 400 and 600 nm (vacuum) wavelength? b) This thickness will...

Just being curious. I was wondering what kind of material you could use to reflect a cosmic ray like visible light to a mirror. It would probably pass right through it, but I was just wondering. =P

I am writing a simulation in MATLAB of particles that perfectly reflect off of a surface. However, my question is physics based, not code based. So here is my issue. A particle is traveling towards a flat plane in space at z=1 with a velocity vector of [0,0,1]. The normal vector of the...

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...

The Fresnel equations indicate that radiation will be 100% transmitted if two mediums have the same refractive indices. If that is true, then whey is there so much reflection off of, for instance, cracks in glass? Is this because there is a microscopic vacancy where the index of refraction...

Does natural light when it hits an object cause transition of electrons between energy states and depending on the chemical composition of the material (hence the size of the transition) determine which colour we see? So everything around us is emitting light (photons)? Everything around us is...

Light beam hits the mirror perpendicularly and returns to the source (left picture). The same system in horizontal motion (right picture) is skewed due to length contraction so that both beam and mirror are at higher angle. Because the beam returns to source in the system's rest frame, it must...

Homework Statement Hi, This is not a homework question. I have my exam for my physics unit tomorrow. I am pretty set for it except for questions of this type. Can you please show me how I can get the answer? Thanks [/B] Homework Equations N/A The Attempt at a Solution N/A