Structural aberration coefficients for freeform imaging systems

Tyler Peterson, José Sasián

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Freeform imaging systems are a subject of current interest. To aid in the design of such systems, we introduce structural aberration coefficients for plane symmetric imaging with XY-polynomial freeform surfaces that may also be tilted. Further, we extend the coefficients to systems with an arbitrary number of components and specifically provide analytical equations for two-mirror systems. Distinguishing between system configuration and structural parameters enhances clarity, which we highlight by deriving new conditions for minimum root-mean-square (RMS) spot size and minimum RMS wavefront error in aplanatic two-mirror telescopes.

Original languageEnglish (US)
Pages (from-to)35104
Number of pages1
JournalOptical Engineering
Issue number3
StatePublished - Mar 1 2023


  • aberration theory
  • freeform imaging
  • freeform optics
  • lens design
  • optical design
  • structural coefficients

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • General Engineering


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