caa a22 4500 445371730 CHVBK 20180317142949.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00340-010-4139-y doi (NATIONALLICENCE)springer-10.1007/s00340-010-4139-y Tsai C.-Y Department of Mechanical and Computer-Aided Engineering, National Formosa University, 64 Wunhua Road, Huwei, 632, Yunlin, Taiwan aut An eigenvalue-based approach for the design of reflector systems and prisms with a specified image orientation change [Elektronische Daten] [C.-Y. Tsai] The image orientation change (IOC) of an object following its reflection by a system comprising an arbitrary number of flat boundary surfaces can be described using a merit function (Γ) expressed in the form of a 3×3 matrix. The present study proposes a design methodology for stable-IOC reflector and prism systems in which the merit function is solved using an eigenvalue-based approach. It is shown that a reflector system remains IOC-stable following its rotation about the eigenvector of the IOC merit function, provided that the image can still physically enter the system's aperture. Furthermore, it is shown that an IOC-stable prism can be obtained by adding two refracting flat boundary surfaces at the entrance and exit positions of the light ray in an optical system comprising multiple reflectors provided that the condition n n =Γn 1 is maintained. Illustrative examples are provided to demonstrate the validity of the proposed design approach. Springer-Verlag, 2010 Applied Physics B Springer-Verlag 102/1(2011-01-01), 235-242 0946-2171 102:1<235 2011 102 340 https://doi.org/10.1007/s00340-010-4139-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00340-010-4139-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tsai C.-Y Department of Mechanical and Computer-Aided Engineering, National Formosa University, 64 Wunhua Road, Huwei, 632, Yunlin, Taiwan aut NATIONALLICENCE 773 0- Applied Physics B Springer-Verlag 102/1(2011-01-01), 235-242 0946-2171 102:1<235 2011 102 340 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer