General analysis of freeform two-mirror telescopes

Tyler Peterson, José Sasián

Research output: Contribution to journalArticlepeer-review


Two-mirror telescopes possess an agreeable tradeoff between performance and complexity that suits the needs of many scientific tasks, and recent developments in manufacturing technology have enabled unobscured two-mirror designs with freeform surfaces. We illustrate how structural aberration coefficients reveal the fundamental aberration characteristics of such systems and provide a summary table of general solutions that prescribe freeform surface shapes and tilts. Two unobscured design forms with remarkable aberration cancellation, inspired by well-known on-axis anastigmatic solutions, are presented.

Original languageEnglish (US)
Article number045104
JournalOptical Engineering
Issue number4
StatePublished - Apr 1 2024


  • aberration theory
  • freeform optics
  • lens design
  • optical design
  • structural aberration coefficients
  • unobscured telescopes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • General Engineering


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