Difference between revisions of "Diffraction of Light"
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where | where | ||
Where | Where | ||
<math>x = w \; sin(\frac {\theta}{\lambda})\,\!</math> | |||
Sin | minima are found for %theta; values such that: | ||
<math>Sin \theta_min = j\;\frac {\lambda} {w}\,\!</math> | |||
with j = ±1, ±2, ±3, … | with j = ±1, ±2, ±3, … | ||
Therefore: the narrower the slit, the wider the fringe spacing | Therefore: the narrower the slit, the wider the fringe spacing |
Revision as of 13:45, 12 May 2009
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Light can be diffracted Diffraction effects occur when waves interact with objects having a size similar to the wavelength of radiation. Diffraction is not an important for optical fibers because there must be some specific order in the materials in order to have a diffraction pattern. When light goes through a slit there are two regimes that have been explored; close to the object as in Fresnel diffraction, and the effects of diffraction far from the object: Fraunhofer diffraction.
The result of diffraction is a set of bright and dark fringes, due to constructive and destructive wave interference, called a diffraction pattern.
The intensity observed far from the slit is given by:
<math>I = I_0 (\frac {sin\lambda} {\lambda} sinx/x)^2\,\!</math>
where Where
<math>x = w \; sin(\frac {\theta}{\lambda})\,\!</math>
minima are found for %theta; values such that:
<math>Sin \theta_min = j\;\frac {\lambda} {w}\,\!</math>
with j = ±1, ±2, ±3, …
Therefore: the narrower the slit, the wider the fringe spacing