Fresnel Definition and 105 Threads

Hi all, Could you please help me understand the Fresnel integral and Green's functions? Could you please explain the Fresnel integral and/or Green's function like you would to at least a first-year undergrad? I have the goal of learning/gaining an intuition of the Fresnel integral and...

Homework Statement Please let me know if this kind of posting of exact problems from a textbook isn't allowed; if that's the case I'll delete it immediately. From Boas's Mathematical Methods in the Physical Sciences, Third Edition: The Fresnel integrals, \int_0^u sin (u^2)\,du and...

Hello, So my dad and I took apart our old TV that had a Fresnel lens inside. Unfortunately there is a crack near the edge due to a billiard ball accidentally being dropped on it. I was wondering how much this crack would affect the lens' ability to focus the sunlight into a point. When we...

Hello, 1. Homework Statement [/b] http://imageshack.com/a/img17/2531/gu44.png Uploaded with ImageShack.com[b] I'm trying to prove this but i didn't succeed Homework Equations The Attempt at a Solution For the t I multiplied by sin(θt) in the numerator and denominator and used...

Hello, I'm working with an automotive headlamp and I was asked to simulate a projection of this lamp onto a wall 25 feet apart. I know I need to use a Fresnel lens as a collector to achieve this, however I have many questions: 1. How should I choose the right Fresnel lens? 2. I need to...

Homework Statement Plane monochromatic light wave with intensity I 0 is incident normally on an opaque screen with a circular hole. What is the light intensity I of the screen at the point for which the hole: a) is the first Fresnel zone, the inner half of the first zone, b) made ​​equal...

Homework Statement Use the Fresnel Equations to prove that light incident at θp=1/2*∏-θt results in a reflected beam that is indeed polarized. Homework Equations N/A The Attempt at a Solution I cannot find a Fresnel equation that has θp in it. And even if I did, I wouldn't know...

I quote a unsolved question posted in MHF by user poorbutttryagin on February 5th, 2013.

error in defined expression for Fresnel equation in MATLAB (urgent please )?? hi i have code for plotting Fresnel equation but there's something i didn't understand it and gives error >>((( plotopt - plotting option (type 'R' for plotting reflectivity, % 'A' for absorptivity or 'RA'...

So I'm thinking about Einstein's thought experiment in which an observer on a train has a clock that denotes time by bouncing light off a mirror and measuring the time for it to return. The setup is such that for the observer on the train, the light is traveling vertically - strictly...

Homework Statement A homework problem asks me to find the Fresnel coefficient for a linearly polarised plane wave, which is incident under an angle theta, whose electric field vector can be given as: E=Ecos\hat{s}+Esin\hat{p} \hat{s} and \hat{p} are the unit vectors for s-polarised and...

When a ray interacts with a solid if the surface is polished reflection occurs. This is true even if the material absorbs at the specific wave lenght? In other words if the material absorbs at the specific λ, can occurs Fresnel reflection ? Or: Fresnel reflection has always all the same λs of...

Hi guys! Was wondering if anyone was confident with Fresnel equations for a refractive index interface. From what I understand: Assume incoming normal plane wave traveling in z-direction and polarised in x plane. Assume z=0 is the plane that separates two materials: n_1 and n_2...

Hello, whenever I come to the derivation of the Fresnel equations I get stuck on the boundary condition for the component of the E-Field that is parallel to the surface. I know for the parallel components Maxwell dictates that: E_{1t} = E_{2t}. For the parallel incoming light field...

Hi guys, I can't find my notes on Fresnel diffraction and I have my Optics exam on Monday... Does anyone know how to derive F=a2/λL where L=1/z+1/z' I've googled it to death, checked here and tried in Optics 4th edition by Hecht with no luck... I'd really appreciate any help...

need simulate program for fresnel biprism diffraction(urgent) Dear friends I am student learning phyisics (8th term or 4th year) this is my last term and I have optic My teacher told us that he want some programs to simulate some optice expriments like : prism - young expriment - loid...

Hi, I was wondering how come I can get a transmission coefficient higher than one? In the equation at normal incidence: t = E_t/E_0 = 2*n2/(n1+n2) > 1 if n2 > n1 How is it even possible to get a higher electric field amplitude out compared to the one that got in? I'd be very...

Homework Statement A zone plate is to be set up on an optical bench, where it will be used as an enlarging lens. Its innermost zone is to be 0.2250 mm in diameter and monochromatic blue-green light of wavelength 480 nm from a cadmium arc is to be used. If the magnitude of the enlargements is...

Hello everybody, I have a question about the Fresnel equations at normal incidence. My textbook gives the reflection coefficients as: (1) perpendicular polarization rs=( n1*cos(theta1)-n2*cos(theta2) ) / ( n1*cos(theta1)+n2*cos(theta2) ) (2) parallel polarization rp=(...

I want to maximize solar cell efficiency regardless of the sun's angle and so I've been looking at placing Compound Parabolic Concentrator (CPC) over the top of a high efficiency round solar cell. If I come up with a good design then I would like to try and manufacture some of them to see if I...

How could one measure degree of coherence with Fresnel biprism? Hello. I have some questions about the study of partial coherence with a Fresnel biprism. In common text degree of coherence and its relationship to visibility is introduced considering a Young Double Slit experiment. At the...

I know fresnel zone is related to ellipsoids but what are these about? I was told they represent most of the energy transmitted by an antenna to another antenna. However, this makes no sense to me. Apparently, the width of the ellipsoid increases if the wavelength does so as well which makes it...

In many books we can find the derivation of Fresnel Equations (TE and the TM reflection and transmission coefficients), but always for the case of a plane wave. How can we go about obtaining the reflection coefficient if the incident light took the form of a beam rather than a plane wave? We...

i am about to do a project on harnessing solar energy using fresnel lens. However, i do not understand how a fresnel lens works. Could someone please clarify how it works (how can it converge light despite having a flat face) and why does it have more converging ability than other lenses?

i want to do a project on solar water purification. I just saw a video on purifying water using fresnel lens. However, i haven't found any information on how one can make a fresnel lens suited to the purpose. So, how does one make a fresnel lens?

Homework Statement The problem about this is, which Fresnel Equation am I supposed to use? Show that the brewster's angle is \tan(\theta)=\frac{n_{2}}{n_{1}} but which Fresnel equation do you use Problem: Using the correct Fresnel Equation using (plugging in) the transmitted angle...

Hi, I'm doing a question using the Fresnel power coefficients, not the Fresnel amplitude coefficients. We can use MATLAB for this, but we are given a fixed angle of incidence of 45 deg so its really just one calculation, as opposed to an earlier question where the angle varied between 0 and...

Hello, I have a 12x12" fresnel lens and I want to place a 14mm diameter fiber optics cable at the focal point to transport the light ~2.5 ft. Would there be any heat loss? And what percentage of the light would exit the fiber optics? Thanks, Fritz Laun

My first (successful) post, hope this isn't silly/trivial. Also hope this is the appropriate area for optics-related questions. While debugging some code that applies the Fresnel equations to transmission of light through multiple layers of planar media, I encountered an interesting feature...

Hello, all, I am using 9 fresnel lenses (~1x1' per lens) and 9 water blocks for a solar water heater. Each fresnel lens is positioned so that a water block below is heated. A pump is used to pump the water through the system. However, I have one question... I have all of my fresnel...

I'm having trouble understanding the reflectivity and transmissivity (the ratios of energy reflected and transmitted through a boundary separating different media). Since energy is proportional to the square of the field, if you have a superposition of two fields at a point, to obtain the...

Hi there, I'm wondering if anyone has any analysis or sources to help me understand how a Fresnel zone plate can be implemented on a curved surface, and the corresponding diffractive efficiency and focal length?? Thanks!

Hi Everyone, I am having trouble with my Fourier optics. I am trying to simulate Fresnel diffraction using the following form of the equations: Li(xi, yi) = K * magnitude (FT{ P(xp, yp)E(xp, yp) } p= xi/ld ;q= yi/ld) ^2 K = 1/(ld)^2 E(xp, yp) = e^(i*(PI/ld)*(xp^2+yp^2)) P is the...

I'm doing a lab report on diffraction and interference. I've done several diffraction experiments (single slit, double slit, diffraction grating, Fresnel Biprism) to find the wavelength of the laser used. with Fresnel Biprism, wouldn't the refraction within the prism cause a change in...

Hello everyone, I am currently dealing with some coupled differential equations. Seems like the result include Fresnel integrals which are easy to be approximated. However, I am confused in many ways and I hope some experienced people can answer following: 1) Normally, we can obtain...

Hi, I have a fresnel lens from a old big screen tv and it is roughly 1 meter square. The focal point comes down to roughly 2.5cm square (1"). On a sunny day in Hawaii I can melt copper wire after about a minute. Copper has a melting point of 1083°C (1981.4 °F) . That's some serious fun! I...

Hi all, The relation between the magnitudes of the incident, reflected and transmitted waves are obtained using Fresnel coefficients. If a field moves from air to a more denser medium, which field should have a greater magnitude (reflected or transmitted)? I thought that it would be the...

Is there a generalized Fresnel equation for the reflection of light with arbitrary polarization (between p and s)?

I work in computer graphics so I use and am familiar with the fresnel equations governing reflections from conductors and dielectrics. My question is about the origin of these effects. As I understand it, the fresnel equations describe the 'average' result of myriad individual photon-material...

Hello everyone, I want to focus IR on a small rectangular area using a Fresnel lens. I tried trial and error to find the focal point of the lens but can't seem to be able to get the exact point. The frensnel lens is a multiple fresnel lens. Can anyone please help? Thanks =)

I would like to know if anybody has thoughts on this idea, vs using parabolic dishes and a distributed oil heat transfer system for solar thermal applications. I can find cheap fresnel lens', and I would like to use them to concentrate the light, then columnate it so that many concentrated...

Hi! Didnt know where to post this.. I was trying to fresnel propogate a spherical beam using the formula U(x,y)=\frac{e^{jkz}e^{\frac{jk(x^{2}+y^{2})}{2z}}}{j\lambda z}\int^{\infty}_{-\infty}\int^{\infty}_{-\infty}{U(\xi,\eta)e^{\frac{jk(\xi^{2}+\eta^{2})}{2z}}}e^{-j\frac{2\pi}{\lambda...

(1) How do you identify Ground roll on a shot record? Is it just the polarized nature of the ground roll that leads to its recognition on a shot record? (2) What is the importance of the Fresnel zone? and What does it depend on?

What is geometrical shadow qualitatively? please don't refer me to hyper physics

Homework Statement The question involves the fresnel equations which I have derived. However, I seem to be missing something in the simplification. I arrive at these: http://physics.tamuk.edu/~suson/html/4323/gifs/prop034.gif http://physics.tamuk.edu/~suson/html/4323/gifs/prop035.gif...

post edited, see below (latex doesn't seem to edit properly on edited pages0

Hi, I'm in a bit of a dilemma, where my limited knowledge of optics has failed me. Here's the scenario: I have acquired a large Fresnel lens (34" x 45"), as used in rear projection TVs. My Dad and I built a frame on which the lens was mounted. Supports have also been installed diagonally to...

I'm interested in the prehistory of the history of relativity. In this history the nature of light and the ether comes in. One phenomenon that was debated in this context was stellar aberration: that the positions of the stars in the sky change slightly, or, more precisely, the perceived...

Somebody could please tell me how to evaluate the integral: integral(sin(x^2)) from o to infinity

Hey people... This isn't really a homewrok question, I am asking it to try and improve my understanding, but if i still have posted it in the wrong place i sincerely apologise if i upset anyone. I am going over some notes before my exam in 4 days and have encountered a problem... the...