MSE supplies offers Half-Ball Lenses made of N-BK7/H-K9L, Sapphire and JGS1/UVFS with diameter between 1mm to 25mm. Half-Ball lenses are a kind of convex lenses in hemispherical shape that made of optical glass with good transparency and refractive parameters. It is usually made by cutting Ball Lenses in half. Comparing to ball lenses, they are more compact and easier to mount. The most common application is as beam collimators for optical fibers, emitters and detectors. Other applications include endoscope, bar-code scanning and laser measurement.
Technical Data:
Below are the parameters for standard products. For customized products with different material, diameter, surface quality and coating, please contact us.
Parameters Value MaterialH-K9L/N-BK7
JGS1/UVFS
Sapphire
+/-0.1
Focal Length Tolerance (%)
±1
Irregularity (P-V) @ 632.8nm
λ/10~λ/2
Clear Aperture (%)
>90
Bevel
Protective bevel as needed
Packing Weight (g)
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Author: the photonics expert Dr. Rüdiger Paschotta
A special form of a thick biconvex optical lens is a ball lens, usually having the geometrical form of a ball (sphere). They are manufactured from a single material, usually an optical glass with good transparency in the wavelength region of interest. A frequently used material is fused silica.
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Another variant are half-ball lenses, which are obtained simply by cutting ball lenses in half.
Ball lenses are usually made with relatively small diameters of a few millimeters or sometimes even less than 1 mm (microlenses). Particularly for such small dimensions, they are easier to fabricate than lenses with traditional designs.
Figure 1:
Focusing of light with a ball lens. While the paraxial rays have a focus position as indicated with the gray vertical line, the outer rays are more strongly refracted.Figure 2:
Focusing of divergent light with a ball lens.Ball lenses exhibit substantial spherical aberrations when light propagation is not restricted to a small fraction of its cross-section. Examples are shown in Figures 1 and 2.
A special kind of micro-ball lens is obtained by heating the end of a tapered fiber such that it melts.
Ball lenses are used particularly as beam collimators for optical fibers (fiber collimators) and for fiber-to-fiber coupling. They are also suitable for miniature optics with applications like barcode scanning, as objective lenses in endoscopy and for optical sensors. There are also microscope objectives (particularly immersion objectives) which have a hyperhemisphere (e.g., somewhat more than a hemisphere) as the first lens.
There are two different definitions of focal length of a ball lens. The effective focal length, which is the distance between a plane through the center of the lens and the beam waist (focus) of an initially collimated input beam, is given by the equation
$$f = \frac{{n\;D}}{{4(n - 1)}}$$$$f = \frac{{n\;D}}{{4(n - 1)}}$$
where <$D$> is the diameter of the lens ball and <$n$> its refractive index.
The back focal length is defined as the distance of the focal point from the lens surface, and is smaller than the effective focal length by half the diameter of the ball.
Just as other spherical lenses, ball lenses exhibit optical aberrations and in particular spherical aberrations (see Figure 1 and 2) when operated with incident beams having a diameter which is not much smaller than that of the ball. Therefore, the minimum possible spot size of the focus is not obtained for the largest possible input beam size, as it would be for a perfect lens.
It is possible to produce aspheric lenses with much weaker aberrations, using spherical ball lenses as a preform which are then appropriately deformed.
Natural ball lenses in the form of small water droplets cause the phenomenon of rainbows. The color effects of the primary (most prominent) row arise from light paths with a single internal reflection in a droplet. Sometimes one can see a secondary rainbow, arising from beam paths with two internal reflections.
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