Predicting surface figure in diamond turned calcium fluoride using in-process force measurement

Eric R. Marsh, Binu P. John, Jeremiah A. Couey, Jue Wang, Robert D. Grejda, R. Ryan Vallance

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Single crystal calcium fluoride (Ca F2) shows significant variation in material properties as a function of crystallographic orientation. The surfaces generated by material removal processes such as diamond turning are influenced by this anisotropy and consequently show periodic undulations aligned with the crystal structure. This article explores the relationship between surface figure and cutting forces measured during the diamond turning of single crystal calcium fluoride. The cutting forces, when mapped to the physical geometry of Ca F2 plano (flat) optics, show good correlation with surface figure measured by interferometry. A model is presented to predict the surface figure error from the experimentally measured normal component of the cutting force. The model also shows how the surface figure obtained under various machining parameters may be extrapolated from force measurements made during a single diamond turning operation.

Original languageEnglish (US)
Pages (from-to)84-89
Number of pages6
JournalJournal of Vacuum Science and Technology B: Microelectronics and Nanometer Structures
Issue number1
StatePublished - 2005

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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