Misaligned first-order optics: Canonical operator theory

Moshe Nazarathy, Amos Hardy, Joseph Shamir

Research output: Contribution to journalArticlepeer-review


Canonical operator theory of paraxial optics is generalized to address the case of misaligned optics. The formal group structure is extended from the aligned case in terms of Heisenberg–Weil and inhomogeneous canonical transforms and the associated 3 × 3 augmented ray matrices. Certain misalignment phase shifts that are often mistreated and ignored have been derived and incorporated into the theory.

Original languageEnglish
Pages (from-to)1360-1369
Number of pages10
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number9
StatePublished - 1 Sep 1986


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