OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 27, Iss. 3 — Feb. 1, 1988
  • pp: 480–485

Estimation of a planar microlens by oblique ray tracing

Shigeyoshi Misawa and Kenichi Iga  »View Author Affiliations

Applied Optics, Vol. 27, Issue 3, pp. 480-485 (1988)

View Full Text Article

Enhanced HTML    Acrobat PDF (690 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Ray tracing for a planar microlens by solving a ray equation is performed. Off-axial dependence of spot size and wave aberration of fabricated planar microlens samples are estimated. A typical spherical aberration of the present planar microlenses at N.A. = 0.3 was 1.1λ. The curvature field was −0.7λ, and comatic aberration was 0.3λ for a tilted angle of 5° at 0.3 N.A. It was estimated that the field curvature and comatic aberration were dominant next to the spherical aberration.

© 1988 Optical Society of America

Original Manuscript: March 31, 1987
Published: February 1, 1988

Shigeyoshi Misawa and Kenichi Iga, "Estimation of a planar microlens by oblique ray tracing," Appl. Opt. 27, 480-485 (1988)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. Misawa, M. Oikawa, K. Iga, “Ray Tracing in a Distributed-Index Planar Microlens,” Jpn. J. Appl. Phys. 21, L589 (1982). [CrossRef]
  2. S. Misawa, M. Oikawa, K. Iga, “Ray Tracing in a Planar Microlens,” Optics 12, 467 (1983) (in Japanese).
  3. S. Misawa, M. Oikawa, K. Iga, “Measurement of Numerical Aperture of Planar Microlens by Far Field Pattern Method,” in Technical Digest, Topical Meeting on Gradient-Index Optical Imaging Systems (Optical Society of America, Washington, DC, 1984), paper ThE-D4.
  4. N. Arai, “A New Calculation Method of Optical Path Length Through Gradient Index Media,” in Technical Digest, Fourth Topical Meeting on Gradient Index Optical Imaging Systems (Japanese Society of Applied Physics, Tokyo, 1983), paper B5.
  5. W. H. Southwell, “Ray Tracing in Gradient-Index Media,” J. Opt. Soc. Am. 72, 908 (1982). [CrossRef]
  6. E. W. Marchand, Gradient-Index Optics (Academic, New York, 1978), pp. 100.
  7. S. Misawa, M. Oikawa, K. Iga, “Maximum and Effective N.A. of Planar Microlens,” Appl. Opt. 23, 1784 (1984). [CrossRef] [PubMed]
  8. K. Iga, S. Misawa, “Distributed-Index Planar Microlens and Stacked Planar Optics: a Review of Progress,” Appl. Opt. 25, 3388 (1986). [CrossRef] [PubMed]
  9. Y. Matsui, Method of Lens Design (Kyo-Ritsu Syuppan Press, Tokyo, 1972) (in Japanese).
  10. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1980), Sec. 5.1.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited