利用旋转玻璃板和3D打印机制造用于教育的马赫-曾德尔干涉仪

Seong-Hun Jang, Young-Gu Ju
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摘要

本文提出了如何利用3D打印机和半导体激光器制造易于对准且价格低廉的教育用马赫-曾德尔干涉仪。干涉仪由165毫米× 120毫米× 57毫米的主体、反射镜支架、激光支架、分束器等组成。激光路径由4个镜子支架调整,每个镜子支架由橡皮筋、小金属线和螺钉组成。干涉条纹在最后阶段被透镜放大。当滑动玻璃插入两个干涉仪臂中的一个旋转时,通过计算移动干涉条纹的数量来测量滑动玻璃的折射率。得到了折射率随光程差和旋转角的函数表达式,并用于干涉仪实验中玻璃折射率的计算。在干涉仪的一只手臂上使用旋转玻璃,消除了对精密台的需要,尽管它的成本很高,但通常需要观察教室里移动的干涉条纹。因此,本文提出的3d打印Mach-Zehnder干涉仪由于其价格合理和性能优异,对教育非常有用。它使学生能够使用3d打印干涉仪进行定性和定量研究,例如测量玻璃样品的折射率和光的波长。
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Fabrication of a Mach-Zehnder interferometer for education using a rotating glass plate and a 3D printer
This paper proposes how to fabricate an educational Mach-Zehnder interferometer that is easy to align and inexpensive, using 3D printers and semiconductor lasers. The interferometer consists of a body 165 mm × 120 mm × 57 mm in size, mirror mounts, a laser holder, beam splitters, and so on. The laser path is adjusted by 4 mirror mounts, each comprised of rubber bands, small metal wires, and a screw. The interference fringe is enlarged by the lens at the final stage. The refractive index of a slide glass was measured by counting the number of moving interference fringes while the slide glass, inserted into one of the two interferometer arms, is rotating. The formula for the refractive index as a function of the optical-path difference and rotation angle was obtained, and used to calculate the refractive index of glass from the interferometer experiment. The use of a rotating glass in one arm of the interferometer nullifies the need for a precision stage, which despite its high cost is often required to observe the moving interference fringe in the classroom. Therefore, the 3D-printed Mach-Zehnder interferometer proposed in this paper can be very useful for education, because of its affordability and performance. It enables students to perform both qualitative and quantitative studies using a 3D-printed interferometer, such as measuring the refractive index of a glass sample, and the wavelength of light.
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