What is Fresnel: Definition and 124 Discussions

Augustin-Jean Fresnel ( FRAYN-, FREN-el, -⁠əl or fray-NEL; French: [oɡystɛ̃ ʒɑ̃ fʁɛnɛl]; 10 May 1788 – 14 July 1827) was a French civil engineer and physicist whose research in optics led to the almost unanimous acceptance of the wave theory of light, excluding any remnant of Newton's corpuscular theory, from the late 1830s  until the end of the 19th century. He is perhaps better known for inventing the catadioptric (reflective/refractive) Fresnel lens and for pioneering the use of "stepped" lenses to extend the visibility of lighthouses, saving countless lives at sea. The simpler dioptric (purely refractive) stepped lens, first proposed by Count Buffon  and independently reinvented by Fresnel, is used in screen magnifiers and in condenser lenses for overhead projectors.
By expressing Huygens's principle of secondary waves and Young's principle of interference in quantitative terms, and supposing that simple colors consist of sinusoidal waves, Fresnel gave the first satisfactory explanation of diffraction by straight edges, including the first satisfactory wave-based explanation of rectilinear propagation. Part of his argument was a proof that the addition of sinusoidal functions of the same frequency but different phases is analogous to the addition of forces with different directions. By further supposing that light waves are purely transverse, Fresnel explained the nature of polarization, the mechanism of chromatic polarization, and the transmission and reflection coefficients at the interface between two transparent isotropic media. Then, by generalizing the direction-speed-polarization relation for calcite, he accounted for the directions and polarizations of the refracted rays in doubly-refractive crystals of the biaxial class (those for which Huygens's secondary wavefronts are not axisymmetric). The period between the first publication of his pure-transverse-wave hypothesis, and the submission of his first correct solution to the biaxial problem, was less than a year.
Later, he coined the terms linear polarization, circular polarization, and elliptical polarization, explained how optical rotation could be understood as a difference in propagation speeds for the two directions of circular polarization, and (by allowing the reflection coefficient to be complex) accounted for the change in polarization due to total internal reflection, as exploited in the Fresnel rhomb. Defenders of the established corpuscular theory could not match his quantitative explanations of so many phenomena on so few assumptions.
Fresnel had a lifelong battle with tuberculosis, to which he succumbed at the age of 39. Although he did not become a public celebrity in his lifetime, he lived just long enough to receive due recognition from his peers, including (on his deathbed) the Rumford Medal of the Royal Society of London, and his name is ubiquitous in the modern terminology of optics and waves. After the wave theory of light was subsumed by Maxwell's electromagnetic theory in the 1860s, some attention was diverted from the magnitude of Fresnel's contribution. In the period between Fresnel's unification of physical optics and Maxwell's wider unification, a contemporary authority, Humphrey Lloyd, described Fresnel's transverse-wave theory as "the noblest fabric which has ever adorned the domain of physical science, Newton's system of the universe alone excepted." 

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  1. A

    Fresnel Diffraction Homework: Sun 45°, 10m Wall, 500nm Lambda

    Homework Statement The sun is 45 [deg] above the horizon. A wall, 10 [m] height is penpandicular to the line sun-earth. Compute the luminous flux, under the following conditions: 1. The geometric shadow, while the sun angular dimension is 0.5 [deg]. 2. Fernsel diffraction- the sun as a...
  2. B

    Fresnel Integrals: Questions Answered

    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...
  3. M

    Potential temperature of a fresnel lens focal point

    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...
  4. W

    Fresnel Reflection and Transmission Coefficients

    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...
  5. S

    Can Fresnel Equations Be Generalized for Arbitrary Polarization of Light?

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

    Webpage title: The Quantum Nature of the Fresnel Effect

    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...
  7. G

    Need help focusing IR using a fresnel lens

    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 =)
  8. M

    Is a Fresnel Lens a Better Option for Solar Thermal Applications?

    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...
  9. R

    MATLAB Fresnel propagation using matlab

    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...
  10. M

    Ground Roll Identification and Fresnel zone

    (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?
  11. E

    How Do I Integrate e^{iz^2} to Obtain the Fresnel Integrals?

    Homework Statement Integrate e^{iz^2} around the contour C to obtain the Fresnel integrals: \int_0^\infty \cos(x^2) \, dx = \int_0^\infty \sin(x^2) \, dx = \frac{\sqrt{2\pi}}{4} The contour consists of three parts: z = x, 0 \le x \le R z = Re^{i\theta}, 0 \le \theta \le \pi/4 z =...
  12. J

    Maple Plotting Fresnel Diffraction Pattern with Maple

    Help with printing a string I have a theoretical plot for the fresnel diffration pattern, however i want maple to show the values plotted on the x and y cordinates. How do i do this. Please explain in simple terms heres my code > fresdi:= proc(a,b) (FresnelC(a) - FresnelC(b))^2 +...
  13. J

    Fresnel diffraction; geometrical shadow

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

    Solving the Fresnel Equations with Polarization Parallel to Plane of Incidence

    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...
  15. Simfish

    Question about the Fresnel Integral

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

    Fresnel lens with focusing light

    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...
  17. E

    Stellar aberration and Fresnel ether drag

    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...
  18. F

    Evaluating Fresnel Integral: sin(x^2) from 0 to $\infty$

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

    Fresnel Diffraction: Explaining Zero Intensity at Center

    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...
  20. C

    Deriving the Fresnel Equations for E Field in Plane of Incidence

    I am trying to derive the Fresnel equations for the E field perpendicular to the plane of incidence. There is one transformation, I assume involves some general math, that I am having a mental blank on. It can be found here http://physics.tamuk.edu/~suson/html/4323/prop-em.html if you...
  21. S

    What are the Fresnel formulas for magnetic permeability not equal to 1?

    Derive Fresnel Formulas for the case when magnetic permeability (myu) is not 1. How will they look like? In most cases myu=1, so the Snells formula becames easy , and after it we get Fresnel Formulas, with the help of Snell Formula.What will be when myu is not 1?
  22. J

    How Is the Fresnel Double Prism Equation Derived?

    Hi, i need to deduce the Fresnel Double Prism equation, which states: d = 2a(n-1)alpha, according to the linked image. http://www.du.edu/~jcalvert/waves/biprism.gif The distance between the constructed virtual objects S' and S'' is here called d. The distance from the light source to...
  23. P

    Fresnel Biprism Equation Derviation-

    Fresnel Biprism Equation Derviation- please help! I recently did the Fresnel Biprism Experiment in order to calculate the wavelength of sodium light. As part of my write up I am to show the derviation of the formula d = (d1 * d2)^1/2 where d = actual separation of the virtual slits. Basically I...
  24. O

    Fresnel Equations Boundary Conditions

    I'm having trouble with the meaning of the boundary condition in the derivation of fresnels quations, namely that the component of E tangental to the surface is continuous across the boundary. My trouble is, what physically does this corresspond to. Is it something to do with the divergence...
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