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Explanation of a ball lens from SPIE Press
https://www.spie.org/publications/tt48_54_ball_lens
Ray trace through a ball lens. The focal length of the ball lens is Its back focal length or back focal distance is, as already indicated, One can see that bfl = 0 if N = 2. That means a ball lens is not suitable for most IR materials, such as silicon, germanium, zinc sulfide, or zinc selenide, whose index of refraction are larger than 2.
Understanding Ball Lenses | Edmund Optics
https://www.edmundoptics.com/knowledge-center/application-notes/optics/understanding-ball-lenses/
Initial Parameters Diameter of Input Laser Beam = 2mm Index of Refraction of Ball Lens = 1.5168 Numerical Aperture of Fiber Optic = 0.22 From Figure 2, the NA NA of an N-BK7 ball lens is about 0.22 for d D≈0.3 to 0.35 d D ≈ 0.3 to 0.35. Equation 3 yields d …
Ball lenses, explained by RP Photonics Encyclopedia; …
https://www.rp-photonics.com/ball_lenses.html
Our ball lenses and half ball lenses are ideal for applications such as fiber communications, endoscopy and microscopy. Available diameters are between 0.3 mm to 100 mm, with diameter tolerance (sphericity) <0.4 µm and surface roughness (Ra) <0.007 µm. Custom ball and half ball module options are also available on request. Edmund Optics
Lecture 17: Lenses and ray tracing - Physics
https://physicscourses.colorado.edu/phys1230/phys1230_fa18/lectures/Lecture17_Lenses_and_Ray_Tracing_fa18.pdf
n=1 Ray tracing: 1. As long as ray stays in same medium, it goes straight. 2. At each interface to a different medium, calculate how it will bend. Go back to 1. Ray tracing to understand lenses and images This gets tedious! 13 F F foci focal length If the glass surface is nearly a section of a sphere, it will FOCUS parallel rays.
Ray tracing in monocentric and ball lenses by a general …
https://opg.optica.org/josaa/abstract.cfm?uri=josaa-36-7-1117
Ray tracing in monocentric and ball lenses by a general exact formula Journal of the Optical Society of America A Vol. 36, Issue 7, pp. 1117-1125 (2019) • https://doi.org/10.1364/JOSAA.36.001117 Ray tracing in monocentric and ball lenses by a general exact formula Hassan A. Elagha Author Information Find other works by these authors …
Ball Lens Calculator | Edmund Optics
https://www.edmundoptics.com/knowledge-center/tech-tools/ball-lens/
Determine the effective focal length, the back focal length, and the effective numerical aperture of a ball lens based on its diameter, its refractive index, and the diameter of the collimated beam entering or exiting the ball lens. The effective numerical aperture of the application can only be calculated if the user knows the beam diameter.
Ray tracing in monocentric and ball lenses by a general …
https://ui.adsabs.harvard.edu/abs/2019JOSAA..36.1117E/abstract
Ray tracing in monocentric and ball lenses by a general exact formula Elagha, Hassan A. In this work, we derive a general ray-tracing formula for monocentric lenses based on a linear form of Snell's law. From this formula, we can directly get the meridional formula for a single symmetric (or asymmetric) monocentric lens.
Ball lenses for coupling and collimation | Lightwave
https://www.lightwaveonline.com/network-design/dwdm-roadm/article/16675424/ball-lenses-for-coupling-and-collimation
A ball lens is a sphere. Ball lenses used for laser diode and fiber coupling and collimating range from 0.5 to 5 mm in diameter. Materials used include conventional optical glasses such as BK 7 and...
Ray Diagrams for Lenses - Georgia State University
http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/raydiag.html
A ray from the top of the object proceeding parallel to the centerline perpendicular to the lens. Beyond the lens, it will pass through the principal focal point. For a negative lens, it will proceed from the lens as if it emanated from the focal point on the near side of the lens. A ray through the center of the lens, which will be undeflected.
Image Formation by Lenses | Physics - Lumen Learning
https://courses.lumenlearning.com/suny-physics/chapter/25-6-image-formation-by-lenses/
The light ray through the center of a thin lens is deflected by a negligible amount and is assumed to emerge parallel to its original path (shown as a shaded line). Ray tracing is the technique of determining or following (tracing) the paths that light rays take. For rays passing through matter, the law of refraction is used to trace the paths.
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