TY - JOUR AU - Alieva, Tatiana Krasheninnikova AU - Bastiaans, Martin J. PY - 2007 DO - 10.1364/JOSAA.24.001053 SN - 1084-7529 UR - https://hdl.handle.net/20.500.14352/51269 T2 - Journal of The Optical Society Of America A-Optics Image Science and Vision AB - Based on the eigenvalues of the ray transformation matrix, a classification of ABCD systems is proposed and some nuclei (i.e., elementary members) in each class are described. In the one-dimensional case, possible nuclei are the magnifier, the lens,... LA - eng M2 - 1053 PB - Optical Society of America KW - Fractional fourier-transforms KW - Data-processing systems KW - Implementation KW - Representation KW - Eigenvalues KW - Coherent TI - Classification of lossless first-order optical systems and the linear canonical transformation TY - journal article VL - 24 ER -