LEADER 04126nam 22006615 450 001 9910135983303321 005 20260810150616.0 010 $a981-10-2299-2 024 7 $a10.1007/978-981-10-2299-9 035 $a(CKB)3710000000909298 035 $a(DE-He213)978-981-10-2299-9 035 $a(MiAaPQ)EBC4722275 035 $z(PPN)258863129 035 $a(PPN)196320135 035 $a(EXLCZ)993710000000909298 100 $a20161020d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced Geometrical Optics /$fby Psang Dain Lin 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XXIV, 460 p. 222 illus., 193 illus. in color.) 225 1 $aProgress in Optical Science and Photonics,$x2363-510X ;$v4 311 08$a981-10-2298-4 320 $aIncludes bibliographical references at the end of each chapters. 327 $aMathematical Background -- Skew-Ray Tracing of Geometrical Optics -- Geometrical Optical Model -- Ray tracing Equations for Paraxial Optics -- Cardinal Points and Image Equations -- Ray Aberrations -- Jacobian Matrix of Ray Ri with Respect to Incoming ray Ri-1 and Boundary Variable Vector Xi -- Jacobian Matrix of Boundary Variable Vector Xi¬ with Respect to System Variable Vector Xsys -- Prism Analysis -- Prism Design Based on Image Orientation -- Determination of Prism Reflectors to produce required image orientation -- Optically Stable Systems -- Point Spread Function, Caustic Surfaces and Modulation Transfer Function -- Optical Path Length and Its Jacobian Matrix -- Wavefront Aberration and Wavefront Shape -- Hessian Matrix of Ray Ri with Respect to Incoming ray Ri-1 and Boundary Variable Vector Xi -- Hessian Matrix of Boundary Variable Vector Xi with Respect to System Variable Vector Xsys -- Hessian Matrix of Optical Path Length. 330 $aThis book computes the first- and second-order derivative matrices of skew ray and optical path length, while also providing an important mathematical tool for automatic optical design. This book consists of three parts. Part One reviews the basic theories of skew-ray tracing, paraxial optics and primary aberrations ? essential reading that lays the foundation for the modeling work presented in the rest of this book. Part Two derives the Jacobian matrices of a ray and its optical path length. Although this issue is also addressed in other publications, they generally fail to consider all of the variables of a non-axially symmetrical system. The modeling work thus provides a more robust framework for the analysis and design of non-axially symmetrical systems such as prisms and head-up displays. Lastly, Part Three proposes a computational scheme for deriving the Hessian matrices of a ray and its optical path length, offering an effective means of determining an appropriate search direction when tuning the system variables in the system design process. 410 0$aProgress in Optical Science and Photonics,$x2363-510X ;$v4 606 $aElectrodynamics 606 $aMathematical physics 606 $aQuantum optics 606 $aLasers 606 $aClassical Electrodynamics 606 $aTheoretical, Mathematical and Computational Physics 606 $aQuantum Optics 606 $aLaser 606 $aMathematical Methods in Physics 615 0$aElectrodynamics. 615 0$aMathematical physics. 615 0$aQuantum optics. 615 0$aLasers. 615 14$aClassical Electrodynamics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aQuantum Optics. 615 24$aLaser. 615 24$aMathematical Methods in Physics. 676 $a535.32 700 $aLin$b Psang Dain$4aut$4http://id.loc.gov/vocabulary/relators/aut$0995626 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910135983303321 996 $aAdvanced Geometrical Optics$92281444 997 $aUNINA