A VOLUME IN THE COMPREHENSIVE DICTIONARY OF PHYSICS C>F ~ICTIC>~~Y- PURE AND APPLIED PHYSICS Edited by Dipa1<Basu CRCPress Boca Raton London New York Washington, D.C. or Library Congress Cataloging.in.Publiclllion Oala DiClionlry or pure Ind apphd phy,ics I ellitai by Dlp:.k Il:r.su JI em - (Com~htnshc tliclionaty of pnylics) ISUN 0-349).2890-X (Ilk. p:aJlC') I. 1'tIY'~OiC!iOlW\cs I. Buu. Dipak. II. Series QC.S D485 2000 530'03-«.21 00·052884 Thil book C'OOllIill$ lnfomu.lioII obIllnteI from IIIUlhende lind highly ,epded lOU,cel. RcpnnlCd 1NI1em.1 Is qllOled .... ,111 permiuioa. and JOWC\"S life indiclled A wide YafielY of rcfcf'tnCCS ue IiSIN Rta.IOnJble drom MVC tun made 10 publish reliable <bt'l and inf(lfTnltion. bul the IUlhor Ind the publisher Clnll()lllll,ume rnponslbitily for the VlIlidiry or III rnalerial, or for ItIt ~~ ollhtlr uSt Nehher Ihb book nor Iny pari 11\11 be repnxNted or tr.Insmiucli In any form Ilr by any means. elccu-onic Ill" rncchanlal. inetudins photocopying. Imcrulilm,"". 1lII11 rt'CClnJin,. lit by lIny infunn;lilun ill1I'Igc or rctricY:ll ~)'S!cm. WlUlouI pour pcnnission in writing from Lhc pubhsMr. AU ri&h1S rntr"Cd. Alilhollulion 10 pholOCOpy iI~nlS flit inlcnuol 01 p!:1$(lm1 Ust. 01' the ptf1()ruli or inlClcal UK of ~~ifit clicnlS. nu.y be: JVlInltd by CRC PteD U.C, pr()\lided lhal $.50 pc'1 p."\)il pho4oeopied Is p;1id tlirmly 10 Copyriahl CIc:lI1UlCC Cenler. 222 ROiC'oI'OOd Drive. Oan\"tB. MA 01923 USA The fee ((Ide for usc:.11 of the TransaetionII Reportina Sen-icc is ISBN o.S493·28~XIOIISO 00+$.50. The fee is SlIbjecltO cMnge Without notice. For otpnlulioM INiI hive been ~nlcd I photocOpy ticalS( by 1M: OCC. ~ SCj».r:llc 5yllem or I»ymenl 1I;os btcn Imnled. 1lle COIISCf11 orCRC .-rcu Ll.C does not ulcnd 10 copying r()l/ gcncl1Il Uiruibution. (Of promocion. ror ~;a!in, new "''Of 01' ror I'CSIlc. Specific permlssion f"rIW;! he obuincd in ...· "liRg frClm eRC f"rm LLC for well copying. Direcl all inquincs 10 CRe PtESS u.c. 2000 N.W Corporntc" 81~d. Boe:. RaIOll. flotltb 33431. 1hKIcIIlArk NOlin: I"'rocIuct or torporlle nanle$ IN) bt It1IOtmalQ Of reaislmll tr:KIemarkJ. and are usc:.d only (01 illenllfiallion and «planalion. whhOut in1CnttO infrinae. Visit Ihe CRC Press Web sile 01 www.crCI)rcss.com o 2001 by (1(C' Y'rcu UC No elaim 10 OtlJln&1 U S Go-,.emmcnt work' InlUllilional Stlncbrd 80m 'umbn" ()'M9).289().X Libtlty of Congress C'lU1l Nurnbcr 00-0528&4 Printed in the United Slaie$ of AIIlCl'l(";l 2 J 4 5 6 7 8 9 0 l'rintcd un acMi·rr« papn Preface The Dictionary of Pure and Applied Physics (DPAP) is one of three physics dictionaries being published by CRC Press LLC, the other two being the Dictionary of Material Science and High En ergy Physics and Dictionary of Geophysics, Astrophysics and Astronomy. Each of these dictionaries is entirely self-contained. The aim of the DPAP is to provide students, researchers, academics and professionals in general, with definitions in a very clear and concise form. The presentation is such that readers will not have any difficulty finding any term being looked for. Each definition is written in detail as informative as possible supported by suitable diagrams, equations, and formulae whenever necessary. With more than 3000 terms, the fields covered in the DPAP are acoustics, biophysics and med ical physics, communication, electricity, electronics, geometrical optics, low temperature physics, magnetism, and physical optics. Like most other branches of science, physics has grown rapidly over the last decade. As such, many of the terms used in older books have become obsolete and new terms have appeared in scientific and technical literature. Care has been taken to ensure that old terms are not included in the DPAP and new terminologies are not missed. Some of the terms are related to other fields, e.g., engineering fields (mostly electrical and mechanical), mathematics, chemistry, biology. Authors are eminent scientists at research institutions and university professors from around the world. Readership includes physicists and engineers in all fields, teachers and students in physics and engineering at university, college and high school levels, technical writers and professionals in general. The uniqueness of the DPAP lies in the fact that it is an extremely useful source of information in the form of meanings of scientific terms presented in a very clear language and concise form written by authoritative persons in the field. It would be a great aid to students in understanding textbooks, help academics and researchers fully appreciate research papers in professional scientific journals, provide authors in the field with assistance to clarify their writings and, in general, benefit the enhancement of literacy in physics by presenting scientists and engineers with meaningful and workable definitions. DipakBasu ©2001 CRC Press LLC CONTRIBUTORS Barry I. Barker Douglas M. Gingrich Stanford University University of Alberta Stanford, California Edmonton, Alberta, Canada DipakBasu Arthur A. Grossman Carleton University University of California, San Diego Ottawa, Ontario, Canada San Diego, California Christopher Boswell Shirin Haque-Copilah The Johns Hopkins University University of the West Indies Baltimore, Maryland St. Augustine, Trinidad, West Indies H.R. Chandrasekhar Takafumi Hayashi University of Missouri The University of Aizu Columbia, Missouri Fukushima, Japan David Cheeke Cila Herman Concordia University The Johns Hopkins University Montreal, Quebec, Canada Baltimore, Maryland Shenlin Chen Stanley Jeffers Boise, Idaho York University Toronto, Ontario, Canada Lee Chow Joe Khachan University of Central Florida University of Sydney Orlando, Florida Sydney, NSW, Australia T.e. Choy Vasudevan Lakshminarayanan University of Melbourne University of Missouri, St. Louis Parkville, Victoria, Australia St. Louis, Missouri J.M. Collins ScottA. Lee Marquette University University of Toledo Milwaukee, Wisconsin Toledo, Ohio Luis Cruz-Cruz Mirko Mirkov Boston University Cynosure, Inc. Boston, Massachusetts Chelmsford, Massachusetts Robert T. Deck Michael J. O'Shea University of Toledo Kansas State University Toledo, Ohio Manhattan, Kansas Vijai Dixit Vladimir Ostashev St. Louis University NOAA St. Louis, Missouri Boulder, Colorado ©200l CRC Press LLC A.G. Uni} Perera Kenneth Trantham Georgia State University Arkansas Technology University Atlanta, Georgia Russellville, Arkansas Edward Rothwell Kainam Thomas Wong Michigan State University The Chinese University of Hong Kong East Lansing, Michigan Shatin, NT, Hong Kong ©200l CRC Press LLC Editorial Advisor Stan Gibilisco Acknowledgments The following figures have been reproduced by kind permissions as mentioned. Kellner Schmidt optical system: Fundamentals of Optics (4th Edition), by F. Jenkins and H. White, McGraw Hill, New York, 1976. Tangential and sagittal focal lines: Mirrors, Prisms and Lenses, by J. P. Southall, Dover Publishers, New York, 1964. Lummer-Gehrke plate: Fundamentals of Optics (4th Edition), by F. Jenkins and H. White, Mc Graw Hill, New York, 1976. Moira fringes: McGraw Hill Dictionary of Scientific and Technical terms (5th Edition), by S. P. Parker (Editor-in-Chief), McGraw Hill, New York, 1994. Heat capacity for 4He. The Lambda phenomenon: John Lipa and Joel Nisser of Stanford Uni versity. ©2001 CRC Press LLC rays from the object and the image, hI and h2 the object and image heights, nl and n2 the re A fractive indices, then the Abbe's sine condition is Abbe number Dispersion or separation of ABCD law If qin and qout are the complex neighboring wavelengths by transparent mate radii of curvature of the input and output beams rial can be characterized by the Abbe number. of an optical system, they are related by the ele If for a given material nD, nF, and nc refer to ments of the ABCD matrix according to ABeD the refractive indices for the FraunhOfer D (589 Iaw.· qout = CA qqiinn++DB · S ee ABCD mat f·IX . nm), F (489 nm), and C (656 nm), then the chromatism of the material is characterized by ABCD matrix The height (y) and angle (ae) its v-value or constringence of a paraxial ray (measured with respect to the optical axis) can be described by a simple 2 x 2 v= composite system matrix as it passes through nF -nc an optical system with several elements (lenses, mirrors, etc.). The elements of the matrix (M) This is called the refractive efficiency, v-value are referred to as A, B, C, and D. In the equa or Abbe number. The larger the constringence, tion the lesser the chromatism. The inverse of the Abbe number is the dispersive power. ~~ ~: [ ] = M [ ] ; M = MnMn-l Abbe sine condition (1) For an optical sys tem, if one considers the object and image planes [~ ~] Ml = perpendicular to the optical axis, and 8 to be the angle relative to the axis made by a ray from an axial object point in object space of index nand the subscripts i and f refer to the initial (input) 8' to be that in image space of index n', then the and final (output) rays and the system matrix M transverse magnification, m: is a product of the ray matrices of each element of the optical system. The optical element clos nsin8 est to the initial ray has the matrix Ml and the m = ---:--:---::c- for all 8 and 8' . n' sin 8' one closest to the final ray has Mn. The physical significance of the elements of the system matrix For an object at infinity: is the following: The input (output) plane cor responds to the first (second) focal plane when sin 8' = _J!.... D(A) is equal to zero. The output plane is the l' image° pl ane conjugate to the input plane when where y is the height of a ray parallel to the axis B = with A being the linear magnification. and f' is the back (or secondary) focal distance. When C = 0, a parallel bundle of input rays The condition is valid for a lens free of coma and emerges as a parallel bundle of output rays; D the relationships hold to a good approximation corresponds to the angular magnification. See in most lenses, but not where discontinuities ap cardinal points. pear in ray behavior (such as Fresnel lenses or zone plates). Deviations from this relationship aberration Optical systems form distortion are called the "offense against the same condi free images when the rays entering the system tion" and are associated with coma. are parallel to the axis and are close to it (parax (2) The condition satisfied by rays refracted ial rays). However, this restriction leads to low by spherical interfaces of an optical system (e.g., throughput. Off-axis and non-paraxial rays lead microscope) to form an image free of coma; if to distortions which can be classified as (a) chro 8 and 8 are the angles made by non-paraxial matic and (b) monochromatic aberrations. See 1 2 ©2001 CRC Press LLC aberration, chromatic and aberration, mono~ least confusion. The spherical aberration is zero chromatic. for an optical system if the objcct and image arc arranged to be at the conjugate poirus of one an aberr-dtion, chromatic The refractive index othcr. (See conjugate points.) For a thin lens, if of a material is dependent on wavelength. By the shape is such that the radius of curvature of Snell's Law, light rays of different wavelengths the first convex surface is about six timc.<; that of will be refracted at different angles, since index the second concave surface, then the spherical is not a constant. Because the index of refraction aberration is minimized. The meniscus shape is higher for shorter wavelengths, these are fo of eyeglasses is chosen for Ihis reason, Optical cused closer to a lens when compared to longer systems such as cameras can reduce this defect wavelengths, when polychromatic or white light by using smaller apertures (large f-numbers) to is incident on it. L.ongitudinal chromatic aber~ block off the outer rays. ration is defined to be the axial distance from the ncarest to the farthcst focal points. M"'lIi ..l ta)'> aberr-dtion,lateral The inability of a system Circle onUsl """fu,ion to focus mys [rom a source on its axis to a point Poroxiol ta)~ , on the axis. but instead focus at a point shifted - perpendicularly or laterally to the axis. I.onQ;n>dinal abernttion,longitudinal When a system fo Sphericol A"",,"" cuses the obliquely incident rays on the optical axis but at a point that is nOlthe focal point for Aberration, spherical. the paraxial rays. abernttion or optical systems Any error in aberrutions, Seidel Monochromatic aber- imaging, for example due to dispersion (ehro~ rations named after the Gennan mathematician matic), curvature of the surface (spherical), Ludwig von Seidel who studied aberration the coma, astigmatism, distortion. etc., resulting in ory keeping higher order tenns for parameters inability of an optical system to bring a broad describing the departure of thc incident beam beam to focus at a unique point. from a paraxial beam, The five Seidel aberra tions arc astigmatism, coma. curvature of field. abernations, monochromatic 11le aberra~ distortion, and spherical aberration. tions in an optical system even for a monochro matic light. thus arising totally from thc geome~ abrupt junction A diode junction in which try of the system. in contrast to chromatic aber+ the dopant level or material type changes ration (see chromatic aberration) due to disper abnlptly at the junction. sion of the medium (dilTerent refractive indices A diode is fonned at the junction of two ma for different wavelengths of the incident light). terials with different Fenni levels (that is. each with a di[ferent chemical potential. the energy abernttion, spherical This distortion is level which is the highest filled at a temperature caused by marginal or non-paraxial rays (i.e., of absolute zero). In semiconductors, one way rays that are parallel to the axis but are further to alter the Fenni level of the material is to add from the axis). The image hasadilTuse halo sur dopanl~ that arc either elcctron donors or ae· rounding the sharp image fonned by the paraxial eeptors. A diode constructed of the same basic rays. The marginal rays come to a focus at dif semiconductor material call be rcali;o;ed with dif· ferent points on the axis compared to paraxial ferent dopants on each side of the junction. The rays and divcrgc at stecper angles. (See dia dopant level can be changed gradually across gram.) This leads to longitudinal and transverse the device, or change abmptly at the junction. spherical aberration. The position at which the In real devicc.<;, the dopant level changes in a re image blur is minimum is called the circle of gion small compared to the depletion layer. the 02001 eRC Press LLC
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