Book of Optics
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Book of Optics
The Book of Optics (Arabic: Kitab al-Manazir, Latin: De Aspectibus or Opticae Thesaurus: Alhazeni Arabis) was a seven volume treatise on optics, physics, mathematics, anatomy and psychology written by Iraqi Muslim scientist, Ibn al-Haytham (Latinized as Alhacen or Alhazen in Europe), from 1011 to 1021, when he was under house arrest in Cairo, Egypt. The book had an important influence on the development of optics, and science in general, as it drastically transformed the understanding of light and vision, and introduced the experimental scientific method. As a result, Ibn al-Haytham has been described as the "father of modern optics",[1] the "pioneer of the modern scientific method",[2] and the founder of experimental physics,[3] and some have described him as the "first scientist" for these reasons.[4] The Book of Optics has been ranked alongside Isaac Newton's Philosophiae Naturalis Principia Mathematica as one of the most influential books in the history of physics,[5] for initiating a scientific revolution in optics[6] and visual perception.[7] The Book of Optics also contains the earliest discussions and descriptions of the psychology of visual perception and optical illusions,[8] as well as experimental psychology,[9] and the first accurate descriptions of the camera obscura, a precursor to the modern camera.[10] In medicine and ophthalmology, the book also made important advances in eye surgery, as it correctly explained the process of sight for the first time.[11] The work also had an influence on the use of optical aids in Renaissance art and the development of the telescope and microscope.[12]
OverviewOptics and visionIn classical antiquity, there were two major theories on vision. The first theory, the emission theory, was supported by such thinkers as Euclid and Ptolemy, who believed that sight worked by the eye emitting rays of light. The second theory, the intromission theory, supported by Aristotle and his followers, had physical forms entering the eye from an object. Alhacen argued on the basis of common observations (such as the eye being dazzled or even injured if we look at a very bright light) and logical arguments (such as how a ray could proceeding from the eyes reach the distant stars the instant after we open our eye) to maintain that we cannot see by rays being emitted from the eye nor through physical forms entering the eye. Alhacen instead developed a highly successful theory which explained the process of vision by rays of light proceeding to the eye from each point on an object, which he proved through the use of experimentation.[13] Ibn al-Haytham proved that rays of light travel in straight lines, and carried out a number of experiments with lenses, mirrors, refraction, and reflection.[14] He was also the first to reduce reflected and refracted light rays into vertical and horizontal components, which was a fundamental development in geometric optics.[15] He also discovered a result similar to Snell's law of sines, but did not quantify it and derive the law mathematically.[16] Ibn al-Haytham is also credited with the invention of the camera obscura and pinhole camera.[10] Alhacen also wrote on the refraction of light, especially on atmospheric refraction, for example, the cause of morning and evening twilight. He solved the problem of finding the point on a convex mirror at which a ray coming from one point is reflected to another point. He also experimented on the dispersion of light into its constituent colours,[14] experimented on the finite speed of light,[17][18][19] discovered that light is variable and moves slower in denser bodies,[17] speculated on the rectilinear propagation and electromagnetic aspects of light,[19] and argued that rays of light are streams of tiny energy particles[20] travelling in straight lines.[21] He also discovered spherical aberration.[22] Ibn al-Haytham made a thorough examination of the passage of light through various media and discovered the laws of refraction. He also carried out the first experiments on the dispersion of light into its constituent colours.[14] His book Kitab al-Manazir (Book of Optics) was translated into Latin in the Middle Ages, as also was his book dealing with the colours of sunset. He dealt at length with the theory of various physical phenomena such as shadows, eclipses, and the rainbow, and speculated on the physical nature of light. He is the first to describe accurately the various parts of the eye and give a scientific explanation of the process of vision. He also attempted to explain binocular vision and the apparent increase in size of the Sun and the Moon when near the horizon. He is known for the earliest use of the camera obscura. He contradicted Ptolemy's and Euclid's theory of vision that objects are seen by rays of light emanating from the eyes; according to him the rays originate in the object of vision and not in the eye. Through these extensive researches on optics, he has been considered the "father of modern optics".[1] In his work on optics, Alhacen described sight as the inference of distinct properties of two similar and dissimilar objects. The eye perceives the size, shape, transparency (color and light), position, and motion from cognitive distinction which is entirely different from perceiving by mere sensation the characteristics of the object. The faculty of the mind, for Alhacen, includes perceiving through judgement and inference of distinct properties of similar objects outline and structure. Alhacen continues this body of work by concluding that the discrimination performed by the faculty of judgment and inference is in addition to sensing the objects visible form and not by pure sensation alone. We recognize visible objects that we frequently see. Recognition of an object is not pure sensation because we do not recognize everything we see. Ultimately, recognition does not take place without remembering. Recognition is due to the inference because of our mental capacity to conclude what objects are. Alhacen uses our ability to recognize species and likening their characteristics to that of similar individuals to support recognition associated and processed by inference. Alhacen further concludes that we are processing visual stimuli in very short intervals which allows us to recognize and associate objects through inference but we do not need syllogism to recognize it. These premises are stored infinitely in our souls. Sami Hamarneh writes several examples of Ibn al-Haytham's descriptions which are correct according to modern optics:[19]
The Book of Optics also provides the first correct definition of the twilight, discusses atmospheric refraction, shows that the twilight only begins when the Sun is 19 degrees below the horizon, and uses a complex geometric demonstration to measure the height of the Earth's atmosphere as 52,000 passuum (49 miles),[23] which is very close to the modern measurement of 50 miles. The Book of Optics is considered by some to mark the beginning of experimental psychology. Ibn al-Haytham made use of his experimental method in his pioneering work on the psychology of visual perception and optical illusions. His investigations and experiments on psychology and visual perception included sensation, variations in sensitivity, sensation of touch, perception of colours, perception of darkness, the psychological explanation of the moon illusion, and binocular vision.[9] Other apparatus Ibn al-Haytham described in the Book of Optics, besides the camera obscura, include "specially arranged dark chambers, specially designed apertures for the controlled admission of light," and "viewing tubes".[24] The Book of Optics is also credited with providing the earliest "historical proof of a magnifying device, a convex lens forming a magnified image". Its translation into Latin in the 12th century was instrumental to the invention of eyeglasses in 13th century Italy.[25] The earliest evidence of "a magnifying device, a convex lens forming a magnified image," dates back to the Book of Optics published by Ibn al-Haytham (Alhazen) in 1021. The properties of a magnifying lens became known to Europeans after the book was translated into Latin in the 12th century.[26] Ibn al-Haytham described his magnifying lens as follows: Scientific methodRoshdi Rashed notes that "by promoting the use of experiments in scientific research, al-Haytham played an important part in setting the scene for modern science."[27] Rosanna Gorini wrote the following on the Book of Optic's introduction of the scientific method: Ibn al-Haytham's scientific method was very similar to the modern scientific method and consisted of the following procedures:[28]
Ibn al-Haytham proved that light travels in straight lines using the scientific method. An aspect associated with Ibn al-Haytham's optical research is related to systemic and methodological reliance on experimentation (i'tibar) and controlled testing in his scientific inquiries. Moreover, his experimental directives rested on combining classical physics (ilm tabi'i) with mathematics (ta'alim; geometry in particular) in terms of devising the rudiments of what may be designated as a hypothetico-deductive procedure in scientific research. This mathematical-physical approach to experimental science supported most of his propositions in Kitab al-Manazir (The Optics; De aspectibus or Perspectivae) and grounded his theories of vision, light and colour, as well as his research in catoptrics and dioptrics. His legacy was further advanced through the 'reforming' of his Optics by Kamal al-Din al-Farisi (d. ca. 1320) in the latter's Kitab Tanqih al-Manazir (The Revision of [Ibn al-Haytham's] Optics).[29][30][8] He describes his experimental approach in the introduction to the book as follows:[8] From Ibn al-Haytham to the present day, the emphasis of the scientific method has always been on seeking truth: The conjecture that "Light travels through transparent bodies in straight lines only", was corroborated by Alhacen only after years of effort. His demonstration of the conjecture was to place a straight stick or a taut thread next to the light beam, to prove that light travels in a straight line.[31] The term "experiment" itself may have origins in the Book of Optics. Ibn al-Haytham used the Arabic terms i'tabara, 'itibar and mu'tabir to refer to his experiments. During the Latin translation of the book, these terms were rendered into Latin as experimentare (or experiri), experimentum and experimentatar respecively.[32] The concept of Ockam's razor is also present in the Book of Optics. For example, after demonstrating that light is generated by luminous objects and emitted or reflected into the eyes, he states that therefore "the extramission of [visual] rays is superflous and useless."[33] Latin translationsOptics was translated into Latin by an unknown scholar at the end of the 12th century or the beginning of the 13th century.[34] It was printed by Friedrich Risner in 1572, with the title Opticae thesaurus: Alhazeni Arabis libri septem, nuncprimum editi; Eiusdem liber De Crepusculis et nubium ascensionibus http://www.mala.bc.ca/~mcneil/cit/citlcalhazen1.htm. Risner is also the author of the name variant "Alhazen", before him he was known in the west as Alhacen, which is correct transcription of the Arabic name.[35] This work enjoyed a great reputation during the Middle Ages. Works by Alhacen on geometrical subjects were discovered in the Bibliothèque nationale in Paris in 1834 by E. A. Sedillot. Other manuscripts are preserved in the Bodleian Library at Oxford and in the library of Leiden. Ibn al-Haytham's optical studies were influential in a number of later developments, such as the telescope, which laid the foundations of telescopic astronomy.[36] LegacyThe Book of Optics initiated a scientific revolution in optics[6] and visual perception,[7] and laid the foundations for modern optics,[1] the scientific method,[2] experimental physics[3] and experimental psychology,[9] for which it has been ranked alongside Isaac Newton's Philosophiae Naturalis Principia Mathematica as one of the most influential books in the history of physics.[5] The Latin translation of the Book of Optics influenced the works of many later European scientists, such as Robert Grosseteste, Roger Bacon, John Peckham, Witelo, William of Ockham, Leonardo da Vinci, Francis Bacon, René Descartes, Johannes Kepler, Galileo Galilei, Isaac Newton, and others.[36][12] The Book of Optics also laid the foundations for a variety of later optical technologies, such as eyeglasses,[25] the camera,[10] the telescope and microscope, microscopy, retinal surgery, and robotic vision. Richard Powers considers Ibn al-Haytham's scientific method and scientific skepticism in his experiments on optics to be a candidate for the most important idea of the 2nd millennium.[12] Besides its influence on science and technology, the Book of Optics also influenced other aspects of Western culture. In religion, for example, John Wycliffe, the intellectual progenitor of the Protestant Reformation, referred to Alhazen in discussing the seven deadly sins in terms of the distortions in the seven types of mirrors analyzed in De aspectibus. In literature, Alhazen's Book of Optics is praised in Guillaume de Lorris' Roman de la Rose and Geoffrey Chaucer's The Canterbury Tales. In art in particular, the Book of Optics laid the foundations for the linear perspective technique and the use of optical aids in Renaissance art (see Hockney-Falco thesis).[37] The linear perspective technique was also employed in European geographical charts during the Age of Exploration, such as Paolo Toscanelli's chart which was used by Christopher Columbus when he went on a voyage to the New World.[12] Robert S. Elliot wrote the following on the Book of Optics: George Sarton, the father of the history of science, wrote in the Introduction to the History of Science: Matthias Schramm wrote in his Ibn al-Haythams Weg zur Physik: VolumesBook IIn Book I, Ibn al-Haytham begins by writing an introduction to the two conflicting doctrines of vision which previously dominated ancient thought on optics: the intromission theory of the the ?natural philosophers?[38] (Aristotle and his followers) where ?vision is effected by a form which comes from the visible object to the eye?, and the emission theory of ?mathematicians? (such as Euclid, Ptolemy and Al-Kindi) where ?vision is effected by a ray which issues from the eye to the visible object.? He states:[8] He states that his research and investigation of light will be based on experimental evidence rather than on abstract theory,[14] and describes the systematic approach he will use to resolve the problem of vision in his investigations on optics:[8] He provides the first correct explanation of how vision is perceived by rays of light travelling in straight lines from an object to the eye:[8] Ibn al-Haytham then resolves the problem by explaining that it is light that travels from visible objects to the eye, rather than the physical ?forms? mentioned by the physicists, and that the rays that create vision travel into the eye, rather than travel out of the eyes as believed by the mathematicians. Most of the volume is thus dedicated to experiments and investigations on light. He begins by dividing light into primary light, the light radiated by an illuminating body, and secondary light, the light reflected off another surface. Alongside a lamp, fire and the stars, he cites sunlight as a primary light, every other visible object (including birds, trees, stones and grass) which reflects the sunlight as secondary light. He realized that the atmosphere also reflects light, from his observations of the sky brightening even before the Sun rises.[8] In support of his intromission theory, he describes a number of observations where the eyes feel pain when exposed to a bright light (primary light) and where the eyes see afterimages when staring at an illuminated object (secondary light) for a prolonged period of time.[39] He also notes that light is always the same from every source, using sunlight, fire, and a mirror as examples. He then examines the anatomical structure of the eye, and proposes the first use of a camera obscura.[14] Books II?IIIBook II of the treatise contains a discussion on visual perception.[14] In Book III, he pioneered the psychology of visual perception and optical illusions, being the first scientist to argue that vision occurs in the brain, rather than the eyes. He pointed out that personal experience has an effect on what people see and how they see, and that vision and perception are subjective. He explained possible errors in vision in detail, and as an example, describes how a small child with less experience may have more difficulty interpreting what he/she sees. He also gives an example of an adult that can make mistakes in vision because of how one's experience suggests that he/she is seeing one thing, when he/she is really seeing something else.[8] Books IV?VIIBook IV deals with the theory of reflection mathematically, while Book V deals with catoptrics and the influential Alhazen's problem. Book VI examines errors in vision due to reflection, while the final volume, Book VII, examines refraction.[14] ExperimentsIn order to demonstrate that straight lines of light exist between ?the surface of the eye? and ?each point on the seen surface of the object?, he states than an ?accurate experimental examination of this fact may be easily made with the help of rulers and tubes.? He describes how an observer looking through a straight tube can only see parts of an object lying directly across from the opening of the tube, and states:[8] Ibn al-Haytham states that the ?light shining from a self-luminous body into the transparent air, radiates from every part of the luminous body facing that air,?and it issues from every point on the luminous body in every straight line that can be imagined to extend in the air from that point.? To prove this, he describes an experiment with a sheet of copper with a large circular hole in the center. He states that the experimenter should slide ?a well-straightened cylindrical tube of regular circularity and convenient length? through the hole, while one end of the tube is open, and the other end is closed but punctured by an aperture that should ?not exceed the thickness of a needle.? He then states that the experimenter should hold a candle up to the open end of the cylinder ?in the darkness of night? and hold an opaque object up to the aperture at the other end. He explains that only a small amount of light from the flame passes through the aperture, while the rest of the light is blocked by the sheet of copper. He then states that ?the experimenter should?gently move the flame so another part of it may face the hole, and then inspect the body opposite.? He explains that as the flame moves, the light projected onto the opaque object changes, like how the light on the object appears weak when the tip of the flame is opposite the aperture and the light on the object appears bright when the center of the flame is opposite the aperture. He concludes: ?Therefore, it appears from this experiment that light radiates from each part of the fire.?[8] Camera obscuraIn his various experiments, Ibn al-Haytham used the term ?al-Bayt al-Muthlim? (Arabic: ????? ??????), translated in English as "dark room", to describe the camera obscura. While earlier philosophers such as Aristotle, Theon of Alexandria and Al-Kindi (Alkindus) described the effects of a single light passing through a pinhole camera, none of them suggested that what is being projected onto the screen is an image of everything on the other side of the aperture. Ibn al-Haytham was the first to demonstrate this with his lamp experiment where several different light sources are arranged across a large area, and he was thus the first scientist to successfully project an image from outdoors onto a screen indoors with a camera obscura.[8] One of the most famous experiments described in the Book of Optics is the lamp experiment with the camera obscura, used to test the hypothesis that lights and colours cannot blend in the air. This experiment covers all the necessary steps in Ibn al-Haytham's scientific method of inquiry: stating the problem, gathering information through observation, the formulation of a hypothesis, an experiment to test the hypothesis, repeating the experiment to confirm the results, and then stating the conclusion.[40] He describes it as follows:[41] Ibn al-Haytham theorized on the rectilinear propagation and finite speed of light. He argued that light is a ?substantial matter?, the propagation of which requires time ?even if this is hidden to our senses?.[42] He argued that its "forms" (or "species" in the Latin translation) were dimensional, and on this basis, he "demonstrated that the perception of light required time: light entering a darkened chamber would have to pass through a dimensional aperture, which could only be opened temporally."[36] In an experiment he undertook with the camera obscura, in order to establish that light travels in time and with finite speed, he states: He reiterated the same experience when he established that light travels in straight lines. The most revealing experiment which indeed introduced the camera obscura was in his studies of the half-moon shape of the sun?s image during eclipses which he observed on the wall opposite a small hole made in the window shutters. In his famous essay "On the form of the Eclipse" (Maqalah-fi-Surat-al-Kosuf) (Arabic: ????? ?? ??????????) he commented on his observation: In his experiment of the sun light he extended his observation of the penetration of light through the pinhole camera to conclude that when the sun light reaches and penetrates the hole it makes a conic shape at the points meeting at the pinhole, forming later another conic shape reverse to the first one on the opposite wall in the dark room. This happens when sun light diverges from point ??? until it reaches an aperture ???? and is projected through it onto a screen at the luminous spot ????. Since the distance between the aperture and the screen is insignificant in comparison to the distance between the aperture and the sun, the divergence of sunlight after going through the aperture should be insignificant. In other words, ???? should be about equal to ????. However, it is observed to be much greater ???? when the paths of the rays which form the extremities of ???? are retraced in the reverse direction, it is found that they meet at a point outside the aperture and then diverge again toward the sun. This was indeed the first accurate description of the Camera Obscura phenomenon. Alhacen's observations of light's behaviour through a pinhole camera. In camera terms, the light converges into the room through the hole transmitting with it the object(s) facing it. The object will appear in full colour but upside down on the projecting screen/wall opposite the hole inside the dark room. The explanation is that light travels in a straight line and when some of the rays reflected from a bright subject pass through the small hole in thin material they do not scatter but cross and reform as an upside down image on a flat white surface held parallel to the hole. Ibn al-Haitham established that the smaller the hole is, the clearer the picture is. Treatise on LightIbn al-Haytham's Risala fi l-Daw? (Treatise on Light) is a supplement to his Kitab al-Manazir (Book of Optics). The text contained further investigations on the properties of luminance and its radiant dispersion through various transparent and translucent media. He also carried out further observations, investigations and examinations on the anatomy of the eye, the camera obscura and pinhole camera, the illusions in visual perception, the meteorology of the rainbow and the density of the atmosphere, various celestial phenomena (including the eclipse, twilight, and moonlight), refraction, catoptrics, dioptrics, spherical and parabolic mirrors, and magnifying lenses.[43] According to Giambattista della Porta, Ibn al-Haytham was the first to give a correct explanation of the apparent increase in the size of the Moon and Sun when near Earth's horizon, known as the Sun and Moon illusion respectively.[44] (Ptolemy made earlier attempts at explaining it, according to Roger Bacon.) Other contributionsWhile the Book of Optics was mainly concerned with the field of optics, the book also had a significant influence on several other fields of science, mathematics and philosophy. Alhazen's problemIbn al-Haytham's work on catoptrics in Book V of the Book of Optics contains the important mathematical problem known as Alhazen's problem. It comprises drawing lines from two points in the plane of a circle meeting at a point on the circumference and making equal angles with the normal at that point. This leads to an equation of the fourth degree. This eventually led Ibn al-Haytham to derive the earliest formula for the sum of the fourth powers, and using an early proof by mathematical induction, he developed a method for determining the general formula for the sum of any integral powers. He used his result on sums of integral powers to perform an integration, in order to find the volume of a paraboloid. He was thus able to find the integrals for polynomials up to the fourth degree, and came close to finding a general formula for the integrals of any polynomials. This was fundamental to the development of infinitesimal and integral calculus.[45] Ibn al-Haytham solved the problem using conic sections and a geometric proof, but Alhazen's problem remained influential in Europe, when later mathematicians such as Christiaan Huygens, James Gregory, Guillaume de l'Hôpital, Isaac Barrow, and many others, attempted to find an algebraic solution to the problem, using various methods, including analytic methods of geometry and derivation by complex numbers.[46] Mathematicians were not able to find an algebraic solution to the problem until the end of the 20th century.[8] AstronomyChapters 15-16 of the Book of Optics dealt with astronomy. Ibn al-Haytham was the first to discover that the celestial spheres do not consist of solid matter, and he also discovered that the heavens are less dense than the air:[47] These views were later repeated by Witelo and had a significant influence on the Copernican and Tychonic systems of astronomy.[47] Biomedical sciencesIbn al-Haytham discussed the topics of medicine, ophthalmology and eye surgery in the anatomical and physiological portions of the Book of Optics and in his commentaries on Galenic works.[48] He made several improvements to eye surgery and accurately described the process of sight,[49] the structure of the eye, image formation in the eye and the visual system. He also discovered the underlying principles of Hering's law of equal innervation, binocular vision, motion perception, vertical horopters, and binocular disparity.[50] Regarding the process of image formation, he incorrectly agreed with Avicenna that the lens was the receptive organ of sight, but hinted at the retina also being involved in the process.[51] Hockney-Falco thesisAt a scientific conference in February 2007, Charles M. Falco argued that Ibn al-Haytham's work on optics may have influenced the use of optical aids by Renaissance artists. Falco said that his and David Hockney's examples of Renaissance art "demonstrate a continuum in the use of optics by artists from circa 1430, arguably initiated as a result of Ibn al-Haytham's influence, until today."[52] His principle of linear perspective was also employed in the art of Leonardo da Vinci and other Renaissance artists.[53] PhenomenologyIn philosophy, Ibn al-Haytham is considered a pioneer of phenomenology. He articulated a relationship between the physical and observable world and that of intuition, psychology and mental functions. His theories regarding knowledge and perception, linking the domains of science and religion, led to a philosophy of existence based on the direct observation of reality from the observer's point of view. Much of his thought on phenomenology was not further developed until the 20th century.[54] PsychologyIbn al-Haytham is considered by some to be the founder of experimental psychology,[9] for his pioneering work on the psychology of visual perception and optical illusions.[8] Ibn al-Haytham made many subjective reports regarding vision and can therefore be argued to be the first "psychologist". In the Book of Optics, Ibn al-Haytham was the first scientist to argue that vision occurs in the brain, rather than the eyes. He pointed out that personal experience has an effect on what people see and how they see, and that vision and perception are subjective. He explained possible errors in vision in detail, and as an example described how a small child with less experience may have more difficulty interpreting what he or she sees. He also gave an example of how an adult can make mistakes in vision due to experience that suggests that one is seeing one thing, when one is really seeing something else.[8] In the Book of Optics, Ibn al-Haytham also developed the "concept of a sensory core that interprets visual stimuli" and which was "highly sophisticated, incorporating mathematical, anatomical and physiopsychological components."[55] Ibn al-Haytham also described what became known as Hering's law of equal innervation, vertical horopters, and binocular disparity,[50] and improved on the theories of binocular vision, motion perception and horopters previously discussed by earlier scholars such as Aristotle, Euclid and Ptolemy.[51][56] Omar Khaleefa has argued that Ibn al-Haytham should be considered the founder of psychophysics,[9] contrary to the orthodox opinion that Gustav Fechner founded this field in 1860 with the publication of his Elements of Psychophysics. There is, however, no evidence that Ibn al-Haytham employed any quantitative psychophysical techniques, so this remains a minority opinion. The psychophysicist Craig Aaen-Stockdale has written a rebuttal to Khaleefa's arguments, noting that the claim for Ibn al-Haytham being the ?founder of psychophysics? "rests upon unsupported assertions, a conflation of psychophysics with the wider discipline of psychology, and semantic arguments over what it is to ?found? a school of thought."[57] Ibn al-Haytham was also the first to study the cognitive process of reading, giving the first descriptions on the role of perception in the understanding of written language. For example, he wrote the following observation on the dual nature of word recognition:[58] TheologyIbn al-Haytham attributed his experimental scientific method and scientific skepticism to his Islamic faith. He believed that human beings are inherently flawed and that only God is perfect. He reasoned that to discover the truth about nature, it is necessary to eliminate human opinion and error, and allow the universe to speak for itself.[28] Ibn al-Haytham described his search for truth and knowledge as a way of leading him closer to God: English translationsReferencesSee also
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