OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 2 — Feb. 1, 2008
  • pp: 218–222

Relationships between optical rotation and circular dichroism and elements of the Mueller matrix for natural and artificial chiral materials

Ezekiel Bahar  »View Author Affiliations

JOSA B, Vol. 25, Issue 2, pp. 218-222 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (98 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Detection, identification, and characterization of natural and artificial chiral materials have found numerous applications in biochemistry, chemistry, drugs, medicine, and engineering. With the extensive use of optical polarimetric scatterometry, the relationships between the parameters related to optical activity (optical rotation and circular dichroism) and the Mueller matrix elements (which totally characterize scattered light) have been derived when the host medium for the chiral material is dissipative and nondissipative. It is shown that for the general case when optimum excitation is accounted for in the analysis, the relationship is given in terms of a complex pairing of specific quasi-off-diagonal elements of the Mueller matrix. This work provides a road map for experimentalists to determine the optimum excitation (angles of incidence and scatter), wavelength, mode of operation (reflection or transmission), and the specific Muller matrix elements that need to be measured.

© 2008 Optical Society of America

OCIS Codes
(000.1430) General : Biology and medicine
(040.1880) Detectors : Detection
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(280.1415) Remote sensing and sensors : Biological sensing and sensors
(160.1585) Materials : Chiral media

ToC Category:

Original Manuscript: October 12, 2007
Revised Manuscript: December 6, 2007
Manuscript Accepted: December 12, 2007
Published: January 29, 2008

Virtual Issues
Vol. 3, Iss. 3 Virtual Journal for Biomedical Optics

Ezekiel Bahar, "Relationships between optical rotation and circular dichroism and elements of the Mueller matrix for natural and artificial chiral materials," J. Opt. Soc. Am. B 25, 218-222 (2008)

Sort:  Year  |  Journal  |  Reset  


  1. L. Barron, Molecular Light Scattering and Optical Activity, 2nd ed. (Cambridge U. Press, 2004). [CrossRef]
  2. A. Lakhtakia, Beltrami Fields in Chiral Media (World Scientific, 1994). [CrossRef]
  3. P. Crittenden and E. Bahar, "A modal solution for reflection and transmission at a chiral-chiral interface," Can. J. Phys. 83, 1267-1290 (2005). [CrossRef]
  4. E. Bahar, "Mueller matrices for waves reflected and transmitted through chiral materials, waveguide modal solutions, and applications," J. Opt. Soc. Am. B 24, 1610-1619 (2007). [CrossRef]
  5. E. Bahar, "Applications of Mueller matrix and near field measurements to detect and identify trace species in drugs and threat agents," Proc. SPIE 5993, 1-9 (2005).
  6. E. Bahar, "Optimum electromagnetic wave excitations of complex media characterized by positive or negative refractive indices and by chiral properties," J. Opt. Soc. Am. B 24, 2807-2813 (2007). [CrossRef]
  7. M. P. Silverman, "Reflection and refraction at the surface of archival medium: comparison of gyotropic constitutive relations invariant or nonvariant under a duality transformation," J. Opt. Soc. Am. A 3, 830-837 (1986). [CrossRef]
  8. A. Lakhtakia, V. K. Varadan, and V. V. Varadan, "The harmonic electromagetic fields in chiral media," Notes Phys. Series 335 (Springer-Verlag, 1989).
  9. W. Weiglhofer and A. Lakhtakia, Introduction to Complex Mediums for Optics and Electromagnetics (SPIE, 2003). [CrossRef]
  10. I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, and A. J. Vittanen, Electromagetic Waves in Chiral and Bi-isotropic Media (Artech House, 1994).
  11. A. Carrieri, "Neural network pattern recognition by means of differential absorption Mueller matrix spectroscopy," Appl. Opt. 38, 3759-3766 (1999). [CrossRef]
  12. R. Kubik and E. Bahar, "Measurements for a polarmetric optical bistatic scatterometer," Proceedings of the Combined Optical Microwave Earth and Atmospheric Sensing Conference (CO-MEAS '93) (IEEE, 1993), pp. 173-176. [CrossRef]
  13. E. Bahar, R. Kubik, and D. Alexander, "Use of new polarimetric optical bistatic scatterometer to measure the transmission and reflection Mueller matrices for arbitrary incident and scatter directions," in Proceedings of the 1992 Scientific Conference on Obscuration and Aerosol Research (1993), pp. 61-75.
  14. A. B. Kostinski, C. R. Givens, and J. M. Kwaitkowski, "Constraints on Mueller matrices of polarized optics," Appl. Opt. 32, 1646-1651 (1993). [CrossRef] [PubMed]
  15. E. Bahar and N. Ianno, "Complex media characterized by chirality and negative refractive index—analysis and applications," J. Nanophotonics , 1, 013509 (2007). [CrossRef]

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