Lensequation

The most commonly used types of beam expander are traced back to Galilean telescope, which generally includes an input concave lens and an output convex lens. The input lens to transmit a virtual focal beam to an output mirror. People usually use telescopes design by Kepler when they need space filtering or large magnification. The Kepler telescope generally has a convex lens as the input lens, which sends the focused beam to the output element. In addition, spatial filtering can be achieved by placing holes in the focus of the first lens.

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Thin lens magnification

I know the thin lens equation 1/f = 1/i + 1/o and that magnification = - i/o, but I've also seen magnification involve image height and object height. What is the relationship between height and distance?

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Hyperion Optics helps customers with their unique expander development project, from optical design, mechanical design and responsible for the application performance. It is critical to communicate with our engineers your input and output beam diameter ratio requirement. For simple expanders, such as telescopes, consists of two lenses, the magnification of a 2 lens system is equal to the ratio of the focal lengths of the lenses, which is also equal to the ratio of the radii of curvatures of the lenses.

Diverging lens formula

At Hyperion Optics, we offer rapid optical design and prototyping, in most expander cases, we offer 6 weeks delivery, means when we study your application, expansion ratio and input output parameters, we are able to deliver assembled expander within 6 weeks. Or we can work on your existing off-the-shelf solution to improve your application’s performance.

Beam expansion or reduction is a common application requirement in most labs using lasers or light sources and optics. Users always find there are so many off-the-shelf laser beam expanders, however, hard to find one exactly fit their needs in terms of spectral range or expansion ratio. In most cases, the plug and play solution may not be the answer.

Lens makers formula

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We also offer off-the-shelf expanders, please refer to following products for your requirement, or contact our engineer for further information.

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Beam expansion or reduction is a common application requirement in most labs using lasers or light sources and optics. Users always find there are so many off-the-shelf laser beam expanders, however, hard to find one exactly fit their needs in terms of spectral range or expansion ratio. In most cases, the plug and play solution may not be the answer. Hyperion Optics helps customers with their unique expander development project, from optical design, mechanical design and responsible for the application performance. It is critical to communicate with our engineers your input and output beam diameter ratio requirement. For simple expanders, such as telescopes, consists of two lenses, the magnification of a 2 lens system is equal to the ratio of the focal lengths of the lenses, which is also equal to the ratio of the radii of curvatures of the lenses. M= the magnification of the beam expander F2= effective focal length of exit lens F1= effective focal length of entry lens R2= radius of curvature of exit lens H2=radius of exit spot (image height) H1=radius of entry spot (object height) At Hyperion Optics, we offer rapid optical design and prototyping, in most expander cases, we offer 6 weeks delivery, means when we study your application, expansion ratio and input output parameters, we are able to deliver assembled expander within 6 weeks. Or we can work on your existing off-the-shelf solution to improve your application’s performance. We also offer off-the-shelf expanders, please refer to following products for your requirement, or contact our engineer for further information. Part No. Magnification Input CA (mm) Output CA (mm) Thread Max. Outer Dia (mm) Length (mm) HBE- 1064- 1.2X 1.2x 16 23 M22 x 0.75 29 54.9 HBE- 1064- 1.5X 1.5x 15.5 23 M22 x 0.75 25 44.5 HBE- 1064- 2X 2.0x 10 20 M22 x 0.75 26 42 HBE- 1064- 2.5X 2.5x 10 23 M22 x 0.75 29 79.8 HBE- 1064- 3X 3.0x 10 23 M22 x 0.75 29 58 HBE- 1064- 4X 4.0x 10 22 M22 x 0.75 29 81.1 HBE- 1064- 5X 5.0x 10 23 M22 x 0.75 29 72 HBE- 1064- 6X 6.0x 5 22 M22 x 0.75 29 71.2 HBE- 1064- 7X 7.0x 6 23 M22 x 0.75 29 76.4 HBE- 1064- 8X 8.0x 10 22 M22 x 0.75 29 76 HBE- 1064- 10X 10.0x 8 22 M22 x 0.75 29 69.7 HBE- 1064- 15X 15.0x 7.5 28 M30 x 1 45 99.1 HBE- 1064- 20X 20.0x 8 28 M22 x 0.75 45 91.2 Part No. Magnification Input CA (mm) Output CA (mm) Thread Max. Outer Dia (mm) Length (mm) HBE- 633- 3X 3.0x 10 23 M22 x 0.75 33 63.7 HBE- 633- 5X 5.0x 8 23 M22 x 0.75 33 110 HBE- 633- 8X 8.0x 11 23.5 M28 x 0.55 35 117.5 HBE- 633- 10X 10.0x 8 23 M22 x 0.75 30 146 HBE- 633- 20X 20.0x 8 76 M22 x 0.75 30 198 HBE- 633- 40X 40.0x 8 100 M22 x 0.75 40 246 HBE- 633- 50X 50.0x 10 81 M22 x 0.75 30 304 Part No. Magnification Input CA (mm) Output CA (mm) Thread Max. Outer Dia (mm) Length (mm) HBE- 532- 2X 2.0x 6 23 M22 x 0.75 30 83 HBE- 532- 3X 3.0x 6 23 M22 x 0.75 30 83 HBE- 532- 4X 4.0x 6 23 M22 x 0.75 30 83 HBE- 532- 5X 5.0x 8 24 M22 x 0.75 30 81.5 HBE- 532- 6X 6.0x 6 23 M22 x 0.75 30 83 HBE- 532- 10X 10.0x 6 23 M22 x 0.75 30 83 HBE- 532- 15X 15.0x 6 32 M30 x 1 30 85 HBE- 532- 20X 20.0x 6 38 M30 x 1 40 95.2 Part No. Magnification Input CA (mm) Output CA (mm) Thread Max. Outer Dia (mm) Length (mm) HBE- 405-1.5X 1.5x 8 26 M30x1 46 62.3 HBE- 405-2X 2.0x 8 26 M30x1 46 62.3 HBE- 405-10X 10.0x 9 28 M30x1 46 85.6

Phet geometricoptics

Thin lens

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The laser beam emitted from the laser has a certain divergence angle. For the laser processing, only by adjusting the beam expander, the laser beam can be changed into collimated (parallel) beam, and the fine resolution high—density facula can be obtained by using the focusing mirror.

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