2.5: Thin Lenses - equation for focal length
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Thomas Stevenson found that with these larger burners, some of the light was lost because the light no longer fell into the focal length of the lenses. In addition, the lenses crack due to the high heat of these larger burners. He suggested to the NLB (Northern Lighthouse Board) to build larger lenses that would overcome these problems. However, this idea was not accepted by the NLB.
The "First Order Fresnel Lens" is the largest lens commonly installed in the large "seacoast lights". Two larger sizes (hyper-radial and meso-radial) have been built in limited numbers and are intended for a number of special installations. Smaller Fresnel lenses, such as the sixth-order and higher-order lens, are installed in smaller lighthouses, such as inland waterway lighthouses. See the table in the right column.
The first Fresnel lenses were cut from glass and then polished. It was an expensive method of lens production that significantly limited their mass production. This way of producing lenses did not change until the early 1950s with the advent of the glass-casting technique that made them relatively cheap. Over the next forty years, the emergence of optical-grade plastics, aided by injection molding and computer-controlled compression, enabled the mass production of premium lenses.
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Originally, the Fresnel lenses were divided into 6 classes (called "Orders"). Later at the end of 1800, this series was expanded with a number of types of lenses (Hyper-, Meso-Radial, 3,5th and 8th Order). The order is determined by the distance from the light source to the lens (the Focal length). A 1st Order lens consists of hundreds of glass prisms. The higher the "Order" number, the smaller the lenses become and the overall size of a compound lens becomes smaller (see table in the right column).
Fresnel lensdiagram
Augustin Fresnel invented a lens in 1819 that would revolutionize lighthouse illumination worldwide. The first lens installed at the Cordouan lighthouse (Gironde - France) in 1823 consisted of eight panels of annular lenses placed around the lamp with a focal length of 920 mm. The table in the right column shows that this was a 1st order lens.
This animation demonstrates how light is refracted and reflected through a typical Fresnel lens section The red line represents a beam of light radiating out from the light source. The Fresnel lens collects the light from every angle and bends it to exit horizontal, sending it seaward.
The fixed lens design was further modified in 1825, when Augustin added a set of revolving flash panels to create the first fixed/flashing lens. The fixed lens directed light in a flat disk shape, in a complete 360-degree circle. The revolving flash panels refracted the light from the fixed belt horizontally creating two to four horizontal beams of light. As the flash panels revolved around the fixed panels, the mariner would see a fixed light followed by a brilliant flash of light from the flash panelâs beam followed by a fixed light again.
This IEEE 1394 FireWire cable consists of a 4 pin male connector on one end and a 6 pin male on the other. It is typically used to connect camcorder to a Mac or PC desktop computer. It is capable of delivering data transfer rates of up to 400Mbps.
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The first one is French. It was originally F. Barbier. It was founded in 1862 by Frédéric Barbier and Stanislas Fenestre under the name «Barbier et Fenestre». It changed its names several times, in 1887 «Barbier et Cie», «Barbier et Bénard» from 1889 and finally at the beginning of the 20th century it took its definitive name «Barbier, Bénard et Turenne». The company is better known as BBT. BBT specializes in the manufacture of lighthouses, optical appliances and lighting systems. It was dissolved in 1982.
Chance Brothers (Birmingham) was the most important English glassware. In 1848, under the direction of Georges Bontemps, a French glassmaker from Choisy-le-Roi, they made high precision lenses for optics. Hyper-radial lenses are part of this production. They are also known by the rotation mechanics of the optics.
The glass prisms are shaped and positioned so that light from the source in the core of the lens is reflected horizontally outward by each prism. In this way, the light from the light source that radiates out in all different directions is maximized in large beams that shine out to sea. The number of beams depend on the configuration of the prisms. This can vary greatly per location. In addition, some lenses have red or green panels that reflect that light seaward.
In 1822, Fresnel completed his design for a flashing lens using eight of his circular Bull's-eye flash panels. Each of the Bull's-eye panels reflected the light horizontally, forming a compact beam of light. The light from each Bull's eye, illuminated by a lamp with four concentric fuses, was equivalent to three and a quarter of the best reflectors (see: right column) then in use.
Fresnel lensorders
The second version was developed by Charles Stevenson in 1891. The spherical design incorporates the Bull's eye lens located 1330mm from the focal point. Each successive ring is moved further from the focus. This device works, but when the light exceeds an angle of 40°, it is lost. It is placed at the Fair Isle North Lighthouse, Shetlands.
The third is Henry-Lepautre. He partnered with Augustin Fresnel and specialized in the construction of clocks and rotating optical mechanisms. We only know 2 hyper-radial lenses made by Henry-Lepaute.
How does aFresnel lenswork
To capture the light that would escape above the lenses, Fresnel applied a series of flat silver-plated mirrors (M), placed at a 25-degree angle, above the Bull's-eye (L) panels. Additional mirrors (Z) were also added at the bottom to redirect the escaping light to the horizontal light beam.
The third version, called equiangular prism lenses, also consists of a Bull's-eye placed 1330 mm from the focus. Up to an angle of 20°, the rings are placed closest to the focus. Then the prisms are placed as in the second version. This optic was installed in 1895 at Sule Skerry Lighthouse, Orkney, Scotland. This system gives better results but the design is more expensive.
Before electricity, these massive lenses were rotated by a clockwork mechanism similar to the concept of a grandfather clock. A weight would fall down the center shaft of the lighthouse, attached to a cable wrapped around a drum. The drum was coupled to a series of gears. The ratio of the gears is designed to drop the weight at a certain speed. A pinion from the clockwork would interact with a large ring gear attached to the pedestal and rotate the lens. (see the Clockwork Mechanism Fresnel lens in the right column).
In Ireland, John Wigham also developed new gas burners. He went from 28 to 108 fuses. This system can be modulated based on lighthouse visibility. In 1877 he came to the same conclusions as Thomas Stevenson. Larger lenses were needed. These burners were also a concern for the lens manufacturers (Frédéric Barbier, Chance Brothers, Sautter and Henry-Lepaute). The heat emitted and the lost light were nevertheless a major problem.
Fresnel LensSheet
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Augustin created several other forms of lighthouse lenses after his design of the first revolving, first-order lens. He took the basic design of his bullâs-eye flash panel, revolved it around its vertical axis, and created the first fixed lens in 1824. This design was made from 12 vertical panels formed in a circle. He continued to use mirrors, both above and below the main lens belt, and small lenses set at an angle above and below the lamp to direct the light unto the upper and lower mirrors. The main panels in the fixed design collected the light from the lamp and refracted (bent) it vertically into a horizontal beam. The beam was aided by additional light directed in the horizontal direction from the mirrors. The fixed lens directed light in a flat disk shape, in a complete 360-degree circle. The mariner would see a constant light.
This IEEE 1394 FireWire cable consists of a 4 pin male connector on one end and a 6 pin male on the other. It is typically used to connect camcorder to a Mac or PC desktop computer. It is capable of delivering data transfer rates of up to 400Mbps.
The hyperradial lenses are designed in three versions. The first version is identical to a Fresnel lens of the order of 1°, only with larger dimensions. The disadvantage is that the lantern is very large, both in diameter and in height. The lens is 4.6 meters high and weighs more than 8 tons.
Finally, around the 1880s, David and Charles Stevenson contacted the F. Barbier firm of Paris with a request to produce a larger lens. The company F. Barbier suggested using the lens developed by John Wigham with a focal length of 1330 mm. The tests with these new panels and the larger burner yielded good results. The other lens manufacturers were very impressed and the Hyper-radial lenses were born.
To solve the weight and thickness problems, Fresnel designed a new type of lens (see 'Fresnel Lens-transformation' in the right column). After Fresnel's design was completed, he was told that Count Buffon and Condorcet, around 1750, had proposed similar designs.