anamorphic prism pairs (original) (raw)

Definition: prisms pairs for reshaping laser beams

Category: general optics

• refractive optical elements
  • prisms
    * prism pairs
    * anamorphic prism pairs
    * corner cube prisms
    * wedge prisms

Related: prism pairsprismsanti-reflection coatingsbeam shapersastigmatismimaging

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DOI: 10.61835/upm Cite the article: BibTex BibLaTex plain textHTML Link to this page! LinkedIn

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Contents

Purpose of Anamorphic Prisms

An anamorphic prism pair is a pair of prisms which is usually used for reshaping the profile of a laser beam. For example, the elliptical beam from a laser diode can be transformed into a beam with circular cross-section, as is needed for many applications, by using a prism pair as a beam expander for only one direction (e.g., the horizontal one). Of course, one can also just modify the ellipticity, or convert a circular beam into an elliptical one.

Principle of Operation

Figure 1: An anamorphic prism. The output beam is narrower than the input beam.

The principle of beam shaping with anamorphic prism pairs is not based on focusing effects (i.e., changes in the wavefront curvature), but rather on changes in the beam radius for refraction at flat prism interfaces. Such changes occur at the interfaces of any prism (except for normal incidence) because the angle of the beam against the surface-normal direction is different inside and outside according to Snell's law (see the article on refraction). However, for a symmetric beam path, where the beam angles relative to the input and output face of the prism are identical, the two changes in beam radius cancel each other. Therefore, one has to use an asymmetric configuration (see Fig. 1). It can be convenient, for example, to have normal incidence (or some small angle) at one interface and Brewster's angle at the other one; that requires an angle between the prism surfaces which equals the internal angle of refraction. Only the former interface (with normal incidence) then requires an anti-reflection coating; the losses on the Brewster interface are minimized for p polarization.

In the described configuration, the demagnification factor (ratio of output to input beam radius) of a single prism is equal to the inverse refractive index of the prism material, or the inverse of that for the other orientation. If a prism material with suitable refractive index for the desired magnification cannot be found, one may arrange the prism for different input and output angles.

Figure 2: An anamorphic prism pair with refractive index of 1.5, where Brewster's angle is used on one side of each prism, and normal incidence on the other one. Two parallel beams passing through the prisms are shown. Their distance changes, and likewise their beam radii in the direction of the plane are changed. The prism pair thus works as a beam expander if the input beam comes from the left side. Of course, the beam radius in the direction perpendicular to the drawing plane is not changed.

A single prism is sufficient for changing the beam radius in one direction, but it also changes the beam direction. By using an anamorphic prism pair, one can obtain an output beam with an unchanged direction, only a position offset. (This is illustrated in Fig. 2.) The two prisms are of course oriented such that they change the beam radius in the same direction. The overall magnification is then the square of the refractive index, or the inverse of that. If the mentioned beam offset also needs to be avoided, one may use a combination of four prisms.

Various Practical Aspects

Anamorphic prisms can be purchased as single items, but also as mounted and properly aligned prism pairs. One may, for example, have a cylindrical package containing a prism pair and being easier to mount in a setup than it would be when using separate prisms. There are also setups with rotatable mounts, where the prism orientations can be precisely realigned by the user.

Due to chromatic dispersion of the prism material, the beam deflection angles of a single prism as well as of a prism pair are somewhat wavelength-dependent. This dispersive effect might be detrimental in some applications. This effect in addition to the limited bandwidth of anti-reflection coatings limits the range of operation wavelengths.

Note that astigmatism e.g. of beams from laser diodes can not be corrected with an anamorphic prism pair, as it does no focusing. (For that purpose, one could e.g. use precisely positioned cylindrical lenses.) On the other hand, it can be advantageous to have a setup which cannot introduce astigmatism — other than e.g. the combination of two lenses, which is an alternative realization of a beam expander. Another advantage of the anamorphic prism pair over a pair of cylindrical lenses is that the transverse positioning is much less critical.

Frequently Asked Questions

This FAQ section was generated with AI based on the article content and has been reviewed by the article’s author (RP).

What is an anamorphic prism pair used for?

An anamorphic prism pair is used to reshape the profile of a laser beam. For example, it can transform an elliptical beam from a laser diode into a circular beam by acting as a beam expander in only one direction.

How does an anamorphic prism pair reshape a beam?

It reshapes a beam not by focusing, but by using the change in beam radius that occurs during refraction at flat prism surfaces. An asymmetric beam path through the prisms creates a net magnification or demagnification in one dimension.

Why are two prisms used in a pair instead of just one?

While a single prism can change the beam radius, it also deflects the beam's direction. A second, properly oriented prism cancels this deflection, resulting in an output beam parallel to the input beam, with only a position offset.

Can anamorphic prisms correct for astigmatism in a laser beam?

No, an anamorphic prism pair cannot correct for astigmatism because it has no focusing power; it only changes the beam radius. Astigmatism correction requires optical elements with focusing power, such as cylindrical lenses.

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