Optical Review

, Volume 26, Issue 4, pp 411–421 | Cite as

Projecting a flat plane to a spherical surface by use of a compensation mirror

  • Shuichi TominagaEmail author
  • Kazuki Kawai
  • Hirotsugu YamamotoEmail author
Special Section: Regular Paper The 11th International Conference on Optics-Photonics Design & Fabrication (ODF’18), Hiroshima, Japan
Part of the following topical collections:
  1. The 11th International Conference on Optics-Photonics Design & Fabrication (ODF’18), Hiroshima, Japan


We propose a novel optical setup to project a flat plane onto a spherical surface. Our proposed method employs putting a curved mirror in the optical path of the projection optics. The curved mirror is placed at the initial image plane formed by a relay lens. This initial image is then re-imaged at the spherical surface. Thus, our optical setup enables having a focused image on a spherical surface. To determine the radius of the curved mirror at the initial image position, we calculated it by paraxial equation. The result is confirmed by optical simulations and demonstrated with a prototype optical system.


Projection Spherical surface projection Imaging Depth of focus 



This work was partially supported by JST/ACCEL (Grant no. JPMJAC1601) and MEXT/JSPS KAKENHI. The authors would like to thank Dr. Nathan Hagen for his proof-reading of the revised manuscript.


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Copyright information

© The Optical Society of Japan 2019

Authors and Affiliations

  1. 1.Utsunomiya UniversityUtsunomiyaJapan
  2. 2.Kowa Optical Products Co., LtdSokaJapan
  3. 3.JST, ACCELTokyoJapan

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