TY - JOUR
T1 - Foundations of first-order layout for asymmetric systems
T2 - An application of hamilton's methods
AU - Stone, Bryan D.
AU - Forbes, G. W.
PY - 1992
Y1 - 1992
N2 - In the design of optical systems, it is expedient to consider only those systems that possess the desired firstorder imaging properties. For asymmetric systems, however, the requisite methods for performing such a firstorder layout have not been established. The foundations of suitable methods, based on the work of Hamilton, are developed here. The utility of these techniques is demonstrated by resolving a fundamental issue in the context of the characterization of first-order properties of optical systems. Specifically, it is well known that the smallest number of quantities required to characterize the first-order imaging properties of an asymmetric system is, at most, eleven, and it is established here that precisely eleven quantities are required in general. That is, there are no hidden constraints among these conventional quantities.
AB - In the design of optical systems, it is expedient to consider only those systems that possess the desired firstorder imaging properties. For asymmetric systems, however, the requisite methods for performing such a firstorder layout have not been established. The foundations of suitable methods, based on the work of Hamilton, are developed here. The utility of these techniques is demonstrated by resolving a fundamental issue in the context of the characterization of first-order properties of optical systems. Specifically, it is well known that the smallest number of quantities required to characterize the first-order imaging properties of an asymmetric system is, at most, eleven, and it is established here that precisely eleven quantities are required in general. That is, there are no hidden constraints among these conventional quantities.
UR - http://www.scopus.com/inward/record.url?scp=0002538510&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.9.000096
DO - 10.1364/JOSAA.9.000096
M3 - Article
AN - SCOPUS:0002538510
SN - 1084-7529
VL - 9
SP - 96
EP - 109
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 1
ER -