Advanced Geometrical Optics

Psang Dain Lin (Autor)

Buch | Hardcover

460 Seiten

2016 | 1st ed. 2017
Springer Verlag, Singapore
978-981-10-2298-2 (ISBN)

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This 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.

Dr. PD Lin is a distinguished Professor of Mechanical Engineering Department at National Cheng Kung University, Taiwan, where he has been since 1989. He earned his BS and MS from that university in 1979 and 1984, respectively. He received his Ph.D. in Mechanical Engineering from Northwestern University, USA, in 1989. He has served as an associate editor of Journal of the Chinese Society of Mechanical Engineers since 2000. He has published over 80 papers and supervised over 60 MS and 11 Ph.D. students. His research interests include geometrical optics and error analysis in multi-axis machines. In geometrical optics, he employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It is one of the important mathematical tools for automatic optical design.

Mathematical 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.

Erscheinungsdatum	12.11.2016
Reihe/Serie	Progress in Optical Science and Photonics ; 4
Zusatzinfo	193 Illustrations, color; 29 Illustrations, black and white; XXIV, 460 p. 222 illus., 193 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Technik
Schlagworte	Hessian matrices • Homogeneous coordinate notation • Jacobian Matrix • Modulation Transfer Function • Optically Stable Systems • Paraxial Optics • Point Spread Function • Prism design • Skew-Ray Tracing • Wavefront Aberrations
ISBN-10	981-10-2298-4 / 9811022984
ISBN-13	978-981-10-2298-2 / 9789811022982
Zustand	Neuware