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Lens: the story on HearLore | HearLore
Lens
The word lens originates from the Latin name for the lentil, a small seed, because the double-convex shape of the earliest optical devices mimicked the seed's form. This linguistic connection reveals how ancient craftsmen derived their technology from the natural world, turning a humble food source into the foundation of modern optics. The history of the lens stretches back thousands of years, with archaeological evidence suggesting widespread use in antiquity. The so-called Nimrud lens, a rock crystal artifact dated to the 7th century BCE, remains a subject of debate among scholars who argue it may have been used as a magnifying glass or a burning glass. While some suggest Egyptian hieroglyphs depict simple glass meniscus lenses, the oldest certain reference to a lens used as a burning glass comes from Aristophanes' play The Clouds, performed in 424 BCE. Pliny the Elder, writing in the 1st century, confirmed that burning-glasses were known in the Roman period, and he arguably referred to corrective lenses when he mentioned that Nero watched gladiatorial games using an emerald, possibly concave to correct for nearsightedness, though this interpretation remains disputed. Seneca the Younger, writing between 3 BC and 65 AD, described how things appear larger and clearer when seen through a glass sphere filled with water, noting that letters, however minute, are perceived more distinctly through such a medium. Ptolemy, the 2nd-century scholar, wrote a book on Optics that survives only in a poor Latin translation of an incomplete Arabic version, yet it was received by medieval scholars in the Islamic world and commented upon by Ibn Sahl in the 10th century, who was in turn improved upon by Alhazen in his Book of Optics during the 11th century. The Arabic translation of Ptolemy's work became available in Latin translation in 1154, thanks to Eugenius of Palermo, bridging the gap between ancient knowledge and the medieval revival of optical science.
Reading Stones and Spectacle Makers
Between the 11th and 13th century, reading stones were used as primitive plano-convex lenses, initially made by cutting a glass sphere in half. These early devices laid the groundwork for the invention of spectacles, which emerged as an improvement of the reading stones in Northern Italy during the second half of the 13th century. This marked the beginning of the optical industry of grinding and polishing lenses for spectacles, first flourishing in Venice and Florence in the late 13th century, and later expanding to spectacle-making centers in both the Netherlands and Germany. Spectacle makers created improved types of lenses for the correction of vision based more on empirical knowledge gained from observing the effects of the lenses, often without understanding the rudimentary optical theory of the day. The practical development and experimentation with lenses led to the invention of the compound optical microscope around 1595 and the refracting telescope in 1608, both of which appeared in the spectacle-making centers in the Netherlands. With the invention of the telescope and microscope, there was a great deal of experimentation with lens shapes in the 17th and early 18th centuries by those trying to correct chromatic errors seen in lenses. Opticians tried to construct lenses of varying forms of curvature, wrongly assuming errors arose from defects in the spherical figure of their surfaces. Optical theory on refraction and experimentation showed that no single-element lens could bring all colors to a focus, leading to the invention of the compound achromatic lens by Chester Moore Hall in England in 1733, an invention also claimed by fellow Englishman John Dollond in a 1758 patent. These developments transformed the lens from a simple magnifying tool into a sophisticated instrument capable of revealing the microscopic and the distant.
Common questions
What is the origin of the word lens?
The word lens originates from the Latin name for the lentil, a small seed, because the double-convex shape of the earliest optical devices mimicked the seed's form.
When was the Nimrud lens created?
The Nimrud lens is a rock crystal artifact dated to the 7th century BCE.
Who invented the compound achromatic lens?
Chester Moore Hall invented the compound achromatic lens in England in 1733, an invention also claimed by fellow Englishman John Dollond in a 1758 patent.
When were Fresnel lenses first fully implemented into a lighthouse?
Fresnel lenses were first fully implemented into a lighthouse in 1823, revolutionizing maritime safety by allowing large, powerful lenses to be constructed with minimal weight and material.
What is spherical aberration in a lens?
Spherical aberration occurs because spherical surfaces are not the ideal shape for a lens, but are by far the simplest shape to which glass can be ground and polished, and so are often used.
What is the difference between a positive and negative lens?
A positive or converging lens causes a collimated beam of light to converge to a spot known as the focal point, while a negative or diverging lens causes a collimated beam of light to diverge.
Developments in transatlantic commerce were the impetus for the construction of modern lighthouses in the 18th century, which utilize a combination of elevated sightlines, lighting sources, and lenses to provide navigational aid overseas. With the maximal distance of visibility needed in lighthouses, conventional convex lenses would need to be significantly sized, which would negatively affect the development of lighthouses in terms of cost, design, and implementation. Fresnel lenses were developed that considered these constraints by featuring less material through their concentric annular sectioning. They were first fully implemented into a lighthouse in 1823, revolutionizing maritime safety by allowing large, powerful lenses to be constructed with minimal weight and material. The Fresnel lens, with its optical surface broken up into narrow rings, allows the lens to be much thinner and lighter than conventional lenses. Durable Fresnel lenses can be molded from plastic and are inexpensive, making them accessible for a wide range of applications. This innovation demonstrated that the shape of a lens could be radically altered without sacrificing its ability to focus light, paving the way for modern optical engineering. The concentric annular sectioning of the Fresnel lens reduced the thickness and weight of the lens while maintaining its focusing power, making it possible to create large lenses that could be used in lighthouses, projectors, and other devices where size and weight were critical factors.
The Geometry of Focus and Error
Most lenses are spherical lenses, with their two surfaces being parts of the surfaces of spheres. Each surface can be convex, bulging outwards from the lens, concave, depressed into the lens, or planar, flat. The line joining the centers of the spheres making up the lens surfaces is called the axis of the lens, and typically the lens axis passes through the physical center of the lens because of the way they are manufactured. Lenses may be cut or ground after manufacturing to give them a different shape or size, and the lens axis may then not pass through the physical center of the lens. Toric or sphero-cylindrical lenses have surfaces with two different radii of curvature in two orthogonal planes, forming an astigmatic lens used to correct astigmatism in someone's eye. Lenses are classified by the curvature of the two optical surfaces, with biconvex lenses having both surfaces convex, biconcave lenses having both surfaces concave, and meniscus lenses having one convex and one concave side. Convex-concave lenses are most commonly used in corrective lenses, since the shape minimizes some aberrations. For a biconvex or plano-convex lens in a lower-index medium, a collimated beam of light passing through the lens converges to a spot, known as the focal point, at a distance from the lens. In this case, the lens is called a positive or converging lens. For a biconcave or plano-concave lens in a lower-index medium, a collimated beam of light passing through the lens is diverged, and the lens is thus called a negative or diverging lens. The behavior reverses when a lens is placed in a medium with a higher refractive index than the material of the lens, causing a biconvex or plano-convex lens to diverge light and a biconcave or plano-concave one to converge it.
The Flawed Perfection of Glass
Lenses do not form perfect images and always introduce some degree of distortion or aberration that makes the image an imperfect replica of the object. Spherical aberration occurs because spherical surfaces are not the ideal shape for a lens, but are by far the simplest shape to which glass can be ground and polished, and so are often used. Spherical aberration causes beams parallel to, but laterally distant from, the lens axis to be focused in a slightly different place than beams close to the axis, manifesting as a blurring of the image. Coma, or comatic aberration, derives its name from the comet-like appearance of the aberrated image and occurs when an object off the optical axis of the lens is imaged, where rays pass through the lens at an angle to the axis. Rays that pass through the center of a lens of focal length are focused at a point with a distance from the axis, while rays passing through the outer margins of the lens are focused at different points, either further from the axis or closer to the axis. Chromatic aberration is caused by the dispersion of the lens material, the variation of its refractive index with the wavelength of light, resulting in fringes of color around the image. It can be minimized by using an achromatic doublet, or achromat, in which two materials with differing dispersion are bonded together to form a single lens. This reduces the amount of chromatic aberration over a certain range of wavelengths, though it does not produce perfect correction. The use of achromats was an important step in the development of the optical microscope, and apochromats, which have even better chromatic aberration correction combined with improved spherical aberration correction, are much more expensive than achromats. Other kinds of aberration include field curvature, barrel and pincushion distortion, and astigmatism, all of which must be carefully managed in the design of lens systems for particular applications.
Beyond the Sphere and the Glass
Simple lenses are subject to the optical aberrations discussed above, but in many cases these aberrations can be compensated for to a great extent by using a combination of simple lenses with complementary aberrations. A compound lens is a collection of simple lenses of different shapes and made of materials of different refractive indices, arranged one after another with a common axis. In a multiple-lens system, if the purpose of the system is to image an object, then the system design can be such that each lens treats the image made by the previous lens as an object, and produces the new image of it, so the imaging is cascaded through the lenses. Cylindrical lenses have curvature along only one axis and are used to focus light into a line, or to convert the elliptical light from a laser diode into a round beam. They are also used in motion picture anamorphic lenses. Aspheric lenses have at least one surface that is neither spherical nor cylindrical, allowing such lenses to form images with less aberration than standard simple lenses, but they are more difficult and expensive to produce. Advances in technology have greatly reduced the manufacturing cost for such lenses. A Fresnel lens has its optical surface broken up into narrow rings, allowing the lens to be much thinner and lighter than conventional lenses. Lenticular lenses are arrays of microlenses that are used in lenticular printing to make images that have an illusion of depth or that change when viewed from different angles. Bifocal lenses have two or more, or a graduated, focal lengths ground into the lens. A gradient index lens has flat optical surfaces, but has a radial or axial variation in index of refraction that causes light passing through the lens to be focused. An axicon has a conical optical surface, imaging a point source into a line the optic axis, or transforming a laser beam into a ring. Diffractive optical elements can function as lenses, and superlenses are made from negative index metamaterials and claim to produce images at spatial resolutions exceeding the diffraction limit. The first superlenses were made in 2004 using such a metamaterial for microwaves, though the superlens has not yet been demonstrated at visible or near-infrared wavelengths. A prototype flat ultrathin lens, with no curvature, has been developed, representing the cutting edge of optical engineering.
The Lens in Human Hands
A single convex lens mounted in a frame with a handle or stand is a magnifying glass, used for close-up inspection and reading. Lenses are used as prosthetics for the correction of refractive errors such as myopia, hypermetropia, presbyopia, and astigmatism, with most lenses used for other purposes having strict axial symmetry. Eyeglass lenses are only approximately symmetric, usually shaped to fit in a roughly oval, not circular, frame, with the optical centers placed over the eyeballs and their curvature not axially symmetric to correct for astigmatism. Sunglass lenses are designed to attenuate light, and sunglass lenses that also correct visual impairments can be custom made. Other uses are in imaging systems such as monoculars, binoculars, telescopes, microscopes, cameras, and projectors. Some of these instruments produce a virtual image when applied to the human eye, while others produce a real image that can be captured on photographic film or an optical sensor, or can be viewed on a screen. In these devices, lenses are sometimes paired up with curved mirrors to make a catadioptric system where the lens's spherical aberration corrects the opposite aberration in the mirror, such as Schmidt and meniscus correctors. Convex lenses produce an image of an object at infinity at their focus, and if the sun is imaged, much of the visible and infrared light incident on the lens is concentrated into the small image. A large lens creates enough intensity to burn a flammable object at the focal point, and since ignition can be achieved even with a poorly made lens, lenses have been used as burning-glasses for at least 2400 years. A modern application is the use of relatively large lenses to concentrate solar energy on relatively small photovoltaic cells, harvesting more energy without the need to use larger and more expensive cells. Radio astronomy and radar systems often use dielectric lenses, commonly called a lens antenna, to refract electromagnetic radiation into a collector antenna. Lenses can become scratched and abraded, and abrasion-resistant coatings are available to help control this damage.