OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 5 — Apr. 26, 2012

Rigorous theory on elliptical mirror focusing for point scanning microscopy

Jian Liu, Jiubin Tan, Tony Wilson, and Cien Zhong  »View Author Affiliations

Optics Express, Vol. 20, Issue 6, pp. 6175-6184 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (1209 KB) Open Access

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A rigorous elliptical mirror focusing formula based on spherical wave transformation is derived as a kind of imaging technique with high NA for potential applications in molecule imaging, spectroscopy and industrial artifact microscopy. An apodization factor is given and used to compare the energy conversation rules in lens transmission and parabolic and elliptical mirror reflections. Simulation results indicate that the axial HFWHM of elliptical and parabolic mirrors is about 80% of the corresponding HFWHM of lens in case of NA = 1 and φs = 0, and the side lobe noise is also slightly lower than that of lens, but the transverse HFWHM of mirrors is comparatively wider despite the width of main lobe is still smaller. In comparison with parabolic mirror based system, an elliptical mirror based system is potentially promising in aberration control of incident beam when the aperture of mirror is enlarged to adapt a large stage or specimen container at a small beam shading ratio.

© 2012 OSA

OCIS Codes
(180.1790) Microscopy : Confocal microscopy
(180.5810) Microscopy : Scanning microscopy
(230.4040) Optical devices : Mirrors

ToC Category:

Original Manuscript: January 19, 2012
Revised Manuscript: February 18, 2012
Manuscript Accepted: February 26, 2012
Published: March 1, 2012

Virtual Issues
Vol. 7, Iss. 5 Virtual Journal for Biomedical Optics

Jian Liu, Jiubin Tan, Tony Wilson, and Cien Zhong, "Rigorous theory on elliptical mirror focusing for point scanning microscopy," Opt. Express 20, 6175-6184 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. E. F. Borra, O. Seddiki, R. Angel, D. Eisenstein, P. Hickson, K. R. Seddon, and S. P. Worden, “Deposition of metal films on an ionic liquid as a basis for a lunar telescope,” Nature447(7147), 979–981 (2007). [CrossRef] [PubMed]
  2. T. Ruckstuhl and S. Seeger, “Confocal total-internal-reflection fluorescence microscopy with a high-aperture parabolic mirror lens,” Appl. Opt.42(16), 3277–3283 (2003). [CrossRef] [PubMed]
  3. D. Zhang, X. Wang, K. Braun, H.-J. Egelhaaf, M. Fleischer, L. Hennemann, H. Hintz, C. Stanciu, C. J. Brabec, D. P. Kern, and A. J. Meixner, “Parabolic mirror-assisted tip-enhanced spectroscopic imaging for non-transparent materials,” J. Raman Spectrosc.40(10), 1371–1376 (2009). [CrossRef]
  4. C. Stanciu, M. Sackrow, and A. J. Meixner, “High NA particle- and tip-enhanced nanoscale Raman spectroscopy with a parabolic-mirror microscope,” J. Microsc.229(2), 247–253 (2008). [CrossRef] [PubMed]
  5. A. Drechsler, M. A. Lieb, C. Debus, A. J. Meixner, and G. Tarrach, “Confocal microscopy with a high numerical aperture parabolic mirror,” Opt. Express9(12), 637–644 (2001). [CrossRef] [PubMed]
  6. M. Schwertner, M. Booth, and T. Wilson, “Characterizing specimen induced aberrations for high NA adaptive optical microscopy,” Opt. Express12(26), 6540–6552 (2004). [CrossRef] [PubMed]
  7. T. D. Wang, M. J. Mandella, C. H. Contag, and G. S. Kino, “Dual-axis confocal microscope for high-resolution in vivo imaging,” Opt. Lett.28(6), 414–416 (2003). [CrossRef] [PubMed]
  8. E. J. Botcherby, R. Juskaitis, M. J. Booth, and T. Wilson, “Aberration-free optical refocusing in high numerical aperture microscopy,” Opt. Lett.32(14), 2007–2009 (2007). [CrossRef] [PubMed]
  9. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. structure of the image field in an aplanatic system,” Proc. R. Soc. A253(1274), 358–379 (1959). [CrossRef]
  10. E. Wolf, “Electromagnetic diffraction in optical systems. I. an integral representation of the image field,” Proc. R. Soc. A253(1274), 349–357 (1959). [CrossRef]
  11. V. S. Ignatovsky, “Diffraction by a parabolic mirror having arbitrary opening,” Trans. Opt. Inst. Petrograd1, 5 (1920).
  12. C. J. R. Sheppard, A. Choudhury, and J. Gannaway, “Electromagnetic field near the focus of wide-angular lens and mirror systems,” Microsc. Opt. Acoust.1(4), 129–132 (1977). [CrossRef]
  13. P. Varga and P. Török, “Focusing of electromagnetic waves by paraboloid mirrors. I. theory,” J. Opt. Soc. Am. A17(11), 2081–2089 (2000). [CrossRef] [PubMed]
  14. P. Varga and P. Török, “Focusing of electromagnetic waves by paraboloid mirrors. II. numerical results,” J. Opt. Soc. Am. A17(11), 2090–2095 (2000). [CrossRef] [PubMed]
  15. M. A. Lieb and A. J. Meixner, “A high numerical aperture parabolic mirror as imaging device for confocal microscopy,” Opt. Express8(7), 458–474 (2001). [CrossRef] [PubMed]
  16. J. Liu, J. Tan, and C. Zhao, “Convex objective function-based design method developed for minimizing side lobe,” Appl. Opt.47(22), 4061–4067 (2008). [CrossRef] [PubMed]
  17. J. Liu, J. Tan, and Y. Wang, “Synthetic complex superresolving pupil filter based on double-beam phase modulation,” Appl. Opt.47(21), 3803–3807 (2008). [CrossRef] [PubMed]
  18. D. M. de Juana, J. E. Oti, V. F. Canales, and M. P. Cagigal, “Design of superresolving continuous phase filters,” Opt. Lett.28(8), 607–609 (2003). [CrossRef] [PubMed]

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