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With the lenses for both beam expanders positioned correctly, we will analyze the magnification. We are expecting that the 8 mm diameter input beams, the initial specification, will increase by 5x to 40 mm in diameter. We will use the measuring tool in the analysis window to get a good estimate of the beam diameters.

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From the analysis of the output beams, it appears that the magnification is correct at ~5x. We can now implement this in a larger optical system, or further optimize the systems to our specific application.

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To simplify the positioning of the lenses, we will perform additional steps. When setting the object position in the 3D layout, the surface with the local coordinate system (LCS) attached to it is positioned at the specified location. That is, if a lens is placed at z=150 mm, then the surface that has the LCS is placed at that point.

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These changes are not significant and easily understood and calculated. Therefore, as the system is built this method is preferential.

We want the Plano side of the Plano-convex lens to be the LCS so that the separation between the two lenses can be calculated directly from the Plano side to the Plano side. Otherwise, we would need to subtract the thickness of the plano-convex lens from the separation to get the correct position. We will reference lens 2, plano-convex, of both Kepler and Galilean beam expanders to the back of lens 1, plano-convex, and plano-concave lenses respectively.

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We will change the LCS for lens 2 in both beam expander systems. For the plano-convex lens, the LCS is attached to the front, or curved, surface. This is displayed when you click on the lens. Note that the blue-axis indicator always goes through the opposite surface to which it is referenced. This is an easy way to tell which surface has the LCS at a glance.

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Carlo Calenda sarà il nuovo ministro dello Sviluppo economico. Lo ha annunciato il premier Matteo Renzi nel corso della trasmissione ‘Che tempo che fa’ su Rai 3.

To show the versatility of the beam expander we will take the Galilean beam expander and move lens 2 slightly to give the output beam some divergence. Conversely, we could move lens 2 to the right to create a converging beam. This is a useful application if we need to couple the laser beam into another optical system that has a certain acceptance angle, or if we need a certain spot size at a specific distance. We will move lens 2 to the left 10 mm, then place two detectors 1000 mm apart to measure the divergence.

Now, we must place the lenses in the correct location so that a collimated input light is still collimated at the output. We shall go to the lens properties and use the design wavelength we specified to find the back focal length (BFL) of the lenses.

The lenses’ Plano sides will face each other to reduce aberrations. This is a common technique as the Plano side has no optical power when collimated light is incident normal to the surface. By making the rays refract and exit the Plano side at an angle we can “split” the aberrations between each surface reducing them overall.