What is Thin film interference: Definition and 68 Discussions

Thin-film interference is a natural phenomenon in which light waves reflected by the upper and lower boundaries of a thin film interfere with one another, either enhancing or reducing the reflected light. When the thickness of the film is an odd multiple of one quarter-wavelength of the light on it, the reflected waves from both surfaces interfere to cancel each other. Since the wave cannot be reflected, it is completely transmitted instead. When the thickness is a multiple of a half-wavelength of the light, the two reflected waves reinforce each other, increasing the reflection and reducing the transmission. Thus when white light, which consists of a range of wavelengths, is incident on the film, certain wavelengths (colors) are intensified while others are attenuated. Thin-film interference explains the multiple colors seen in light reflected from soap bubbles and oil films on water. It is also the mechanism behind the action of antireflection coatings used on glasses and camera lenses.
The true thickness of the film depends on both its refractive index and on the angle of incidence of the light. The speed of light is slower in a higher-index medium; thus a film is manufactured in proportion to the wavelength as it passes through the film. At a normal angle of incidence, the thickness will typically be a quarter or half multiple of the center wavelength, but at an oblique angle of incidence, the thickness will be equal to the cosine of the angle at the quarter or half-wavelength positions, which accounts for the changing colors as the viewing angle changes. (For any certain thickness, the color will shift from a shorter to a longer wavelength as the angle changes from normal to oblique.) This constructive/destructive interference produces narrow reflection/transmission bandwidths, so the observed colors are rarely separate wavelengths, such as produced by a diffraction grating or prism, but a mixture of various wavelengths absent of others in the spectrum. Therefore, the colors observed are rarely those of the rainbow, but browns, golds, turquoises, teals, bright blues, purples, and magentas. Studying the light reflected or transmitted by a thin film can reveal information about the thickness of the film or the effective refractive index of the film medium. Thin films have many commercial applications including anti-reflection coatings, mirrors, and optical filters.

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  1. F

    Light - Thin Film interference

    Homework Statement A thin film of MgF2 with n = 1.38 coats a piece of glass. Constructive interference is observed for the reflection of light with wavelengths of 500 nm and 625 nm. Part A - What is the thinnest film for which this can occur? Homework Equations t = lambda/2n *(m + .5)...
  2. H

    Calculating the Longest Visible Wavelength for Thin Film Interference

    Homework Statement An oil film (index of refraction no = 1.48) floating on water (index of refraction nw = 1.33) is illuminated from above by white light at normal incidence. The film is 360.0 nm thick. What is the longest visible wavelength that will be strongly reflected? What is...
  3. L

    Thin Film Interference: Finding m Value

    For thin film interference, I was wondering how you know what the value of m is for the equations: 2nt/λ=m (destructive) 2nt/λ -1/2=m (constructive)
  4. U

    Question regarding thin film interference

    My question concerns thin films of varying thickness. I have a basic understanding of thin film interference, and understand the effects of thickness on wavelength, and that with increasing thickness color fringes will be evident. I understand that the color fringes come from: n*t = m*\lambda...
  5. A

    How Thin Should the Glass Be to Shift the Interference Maxima?

    Homework Statement A pair of slits separated by d = 1.30 mm is illuminated with light of l = 610 nm wavelength and falls on a screen L = 2.00 m away. A piece of glass with index of refraction n = 2.2 is placed at one slit. If the maxima shift is Dx/2, and falls on a minimum, what was the...
  6. S

    Thin Film Interference problem

    Hey guys, I was wondering if someone could explain to me when Thin Film Interference will produce constructive/destructive interference. I think I might understand it, but I'm not 100% sure and I have a test coming up soon. Any help would be great! Ok, so I know we have the equation: 2t =...
  7. J

    What Is the Minimum Thickness for Constructive Interference in a Thin Film?

    A thin film is put on the surface of glass, with indexes of refraction of x and y respectively. If light, with wavelength L in air, is reflected from the 2 sides of the film, to interfere constructively, what is the minimum thickness required. The question is stated just like that, so I...
  8. T

    Thin Film Interference (Interferometer)

    Homework Statement One of the beams of an interferometer passes through a small glass container containing a cavity 1.30 cm deep. When a gas is allowed to slowly fill thr container, a total of 236 dark fringes are counted to move past a reference line. The light used has a wavelength of 610...
  9. T

    Question on Thin Film Interference

    Hi - I'm having trouble with the following problem: A mixture of yellow light (wavelength = 574 nm in vacuum) and violet light (wavelength = 418 nm in vacuum) falls perpendicularly on a film of gasoline that is floating on a puddle of water. For both wavelengths, the refractive index of...
  10. J

    How Are Dark Fringes Calculated in Newton's Rings Experiment?

    Newton's rings are observed in monochromatic light reflected from the air gap between a convex spherical piece of glass (radius of curvature R) and a plane slap of glass. The two pieces are in contact in the centre. (b) Show that the dark fringes have radii given approximately by r=...
  11. W

    Destructive Interference in Thin Film Interference

    Two oblong pieces of plane glass are separated from each other by a thin sheet of cellophane and held together with rubber bands, as shown in figure(I provided a website for the figure below), where the amount of separation is much exaggerated. If you place a "sodium vapor lam" vertically above...
  12. cepheid

    Thin Film Interference | Observing Puddles of Oil on Pavement

    I have observed puddles of oil on the pavement with swirling colours more often on overcast days than sunny days. Does the phenonmenon of thin film interference work better with diffuse/scattered light than light coming directly from a source? Or, is it a question of light incident at an oblique...
  13. H

    Thin Film Interference: Deriving Equation

    My professor gave the equation: 2t + \frac{\lambda}{2} = (m + \frac{1}{2})\lambda How did he derive this..where does it come from?
  14. 4

    Thin Film Interference Problems

    There's two problems I can't seem to figure out... I sort of got the answer, except I used m as 28 instead of 27. So my question is why are you suppose to use m as 27 to multiply instead of 28? Also What do they mean by incident normally, is it like striking the glass at a right angel? and...
  15. S

    What Should the Index of Refraction Be for Zero Reflectivity at 532nm?

    A physicist wishes to deposit a thin film on both sides of a glass (with index of refraction 1.50) window to reduce reflected light of wavelength 532nm to 0% In order to achieve 100% destructive interference for light reflectedo ff of the air /thing film inteference and the light reflected...
  16. K

    Thin film interference on pavement

    A thin film of oil (n = 1.26) is located on a smooth, wet pavement. When viewed perpendicular to the pavement, the film appears to be predominantly red (640 nm) and has no component of wavelength 512 nm. How thick is the oil film? I'm getting confused by the use of two wavelengths in this...
  17. P

    Need help with thin film interference

    A student diving in a swimming pool (filled with water with index of refraction 1.33) creates thin films of air. Viewed underwater, what are the first two non-zero thicknesses of an air film for which there will be constructive interference for reflection off the surfaces of the bubble for...
  18. N

    OPTICS: Thin Film Interference

    Please help: Two rectangular pieces of plane glass are laid one upon the other on a table. A thin strip of paper is placed between them at one edge so that a very thin wedge of air is formed. The plates are illuminated at normal incidence by 546-nm light from a mercury-vapor lamp...
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