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Laser Speckle

Definition: light patterns resulting from the reflection of coherent light at rough surfaces

Category: general opticsgeneral optics


Cite the article using its DOI: https://doi.org/10.61835/018

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The term speckle refers to a random granular pattern which can be observed e.g. when a highly coherent light beam (e.g. from a laser) is diffusely reflected at a surface with a complicated (rough) structure, such as a piece of paper, white paint, a display screen, or a metallic surface. This phenomenon results from the interference of many different reflected portions of the incident beam with random relative optical phases. Even minor changes of the conditions, such as of the illuminated spot or the direction of the incident laser beam, can change the detailed shape of a speckle pattern.

It can be shown that under most conditions laser speckle exhibit so-called Rayleigh statistics. This means that the probability of finding a certain intensity at a certain location in a speckle pattern decays exponentially with increasing intensity: the probability density is

$$p(I) = \frac{{\exp ( - I/\left\langle I \right\rangle )}}{{\left\langle I \right\rangle }}$$

where <$\langle I \rangle$> is the average intensity.

Speckle patterns can severely degrade the image quality of laser projection displays, or disturb position measurements with laser pointers. Speckle can often be avoided, e.g. by using a light source with sufficiently large optical bandwidth (short coherence length) such as a superluminescent source. (How much bandwidth is required for that purpose depends on the situation.) For projection displays, one may also work with an optimized screen. However, there are also applications of speckle, e.g. in speckle interferometry.

The complicated intensity patterns observed at the ends of multimode fibers are also sometimes called speckle. They result from the interference of many propagation modes, where the relative phases depend on the detailed launching conditions.

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[1]R. V. Langmuir, “Scattering of laser light”, Appl. Phys. Lett. 2, 29 (1963); https://doi.org/10.1063/1.1753756
[2]J. W. Goodman, “Some fundamental properties of speckle”, J. Opt. Soc. Am. 66 (11), 1145 (1976); https://doi.org/10.1364/JOSA.66.001145
[3]K. Creath, “Phase-shifting speckle interferometry”, Appl. Opt. 24 (18), 3053 (1985); https://doi.org/10.1364/AO.24.003053
[4]B. Shapiro, “Large intensity fluctuations for wave propagation in random media”, Phys. Rev. Lett. 57, 2168 (1986); https://doi.org/10.1103/PhysRevLett.57.2168
[5]Justin Dove and Jeffrey H. Shapiro, “Speckled speckled speckle”, Opt. Express 28 (15), 22105 (2020); https://doi.org/10.1364/OE.398226
[6]J. C. Dainty, Laser Speckle and Related Phenomena, Springer, Berlin (1975)

(Suggest additional literature!)

Questions and Comments from Users


What happens when light scattered from a diffuse surface (speckle) is coupled into a single-mode fiber?

The author's answer:

Only the light fitting to the guided mode of the fiber will be guided, and at the same time you see only light with that mode profile (but possibly not much optical power).

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