Publication: Design of superachromatic quarter-wave retarders in a broad spectral range
Loading...
Official URL
Full text at PDC
Publication Date
2015-11-20
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Optical Society Of America
Citations
Exportar
Abstract
A superachromatic quarter-wave retarder using an arbitrary number of waveplates in a broadband spectral range has been proposed. Their design is based on the optimization of a merit function, the achromatism degree (AcD), which represents a global behavior metric for the retardation. By means of this technique, the thickness and azimuth of each waveplate is determined. The achromatism degree is a measure of the distance between the overall retardation and a target retardation weighted by the spectrum of the incident light. We report on a particular case where all waveplates are made of quartz. As application examples, the design of a quarter-wave retarder using two, three, and four waveplates in the spectral ranges of 500-700 nm and 400-1000 nm was studied. The numerical results show that for these ranges, the best designs obtained present a maximum difference of 0.013 degrees and 0.010 degrees with respect to the target retardation, respectively. In addition, an analysis of their achromatic stability is presented. These results can be applied in the aerospace industry, spectroscopic ellipsometry, and spectrogoniometry, among others.
Description
© 2015 Optical Society of America.
The authors thank Maite Irigoyen for her encouragement and many useful comments during the preparation of this work.
Funding: Direccion General de Universidades e Investigacion, Comunidad de Madrid (Spain) (SEGVAUTO-TRIES CM S2013/MIT-2713); Ministerio de Economia y Competitividad (MINECO) (DPI2011-27851).
UCM subjects
Unesco subjects
Keywords
Citation
1. D. H. Goldstein, Polarized Light (CRC Press, 2010).
2. D. Clarke and J. F. Grainger, Polarized Light and Optical Measurement: International Series of Monographs in Natural Philosophy (Elsevier, 2013), Vol. 35.
3. D. S. Kliger and J. W. Lewis, Polarized Light in Optics and Spectroscopy (Elsevier, 2012).
4. S. Pancharatnam, “Achromatic combinations of birefringent plates,” Proc. Indian Acad. Sci. A 41, 137–144 (1955).
5. R. King, “Quarter-wave retardation systems based on the Fresnel rhomb principle,” J. Sci. Instrum. 43, 617–622 (1966).
6. R. C. Jones, “A new calculus for the treatment of optical systems,” J. Opt. Soc. Am. 31, 488–493 (1941).
7. S. N. Savenkov, “Jones and Mueller matrices: structure, symmetry relations and information content,” in Light Scattering Reviews 4 (Springer, 2009), pp. 71–119.
8. P. Violino, “Polariseur circulaire reglable sur une large domaine de longueurs d onde,” Revue Optique 44, 109–114 (1965).
9. D. Clarke, “Achromatic halfwave plates and linear poliarization rotators,” J. Mod. Opt. 14, 343–350 (1967).
10. P. Hariharan and D. Malacara, “A simple achromatic half-wave retarder,” J. Mod. Opt. 41, 15–18 (1994).
11. P. Hariharan, “Achromatic retarders using quartz and mica,” Meas. Sci. Technol. 6, 1078–1079 (1995).
12. P. Hariharan, “Broad-band apochromatic retarders: choice of materials,” Opt. Laser Technol. 34, 509–511 (2002).
13. S. Shen, J. She, and T. Tao, “Optimal design of achromatic true zero-order waveplates using twisted nematic liquid crystal,” J. Opt. Soc. Am. A 22, 961–965 (2005).
14. Y.-J. Jen, M.-J. Lin, S.-K. Yu, and C.-C. Chen, “Extended broadband achromatic reflective-type waveplate,” Opt. Lett. 37, 4296–4298 (2012).
15. Y.-J. Jen, A. Lakhtakia, C.-W. Yu, C.-F. Lin, M.-J. Lin, S.-H. Wang, and J.-R. Lai, “Biologically inspired achromatic waveplates for visible light,” Nat. Commun. 2, 363 (2011).
16. H. Kikuta, Y. Ohira, and K. Iwata, “Achromatic quarter-wave plates using the dispersion of form birefringence,” Appl. Opt. 36, 1566–1572 (1997).
17. D.-E. Yi, Y.-B. Yan, H.-T. Liu, Si-Lu, and G.-F. Jin, “Broadband achromatic phase retarder by subwavelength grating,” Opt. Commun. 227, 49–55 (2003).
18. J.-B. Masson and G. Gallot, “Terahertz achromatic quarter-wave plate,” Opt. Lett. 31, 265–267 (2006).
19. J. Ma, J.-S. Wang, C. Denker, and H.-M. Wang, “Optical design of multilayer achromatic waveplate by simulated annealing algorithm,” Chin. J. Astron. Astrophys. 8, 349–361 (2008). 20. Z. Chen, Y. Gong, H. Dong, T. Notake, and H. Minamide, “Terahertz achromatic quarter wave plate: design, fabrication, and characterization,” Opt. Commun. 311, 1–5 (2013).
21. P. Hariharan and P. Ciddor, “Broad-band superachromatic retarders and circular polarizers for the UV, visible and near infrared,” J. Mod. Opt. 51, 2315–2322 (2004).
22. M. Emam-Ismail, “Retardation calculation for achromatic and apochromatic quarter and half wave plates of gypsum based birefringent crystal,” Opt. Commun. 283, 4536–4540 (2010).
23. A. Saha, K. Bhattacharya, and A. K. Chakraborty, “Achromatic quarter-wave plate using crystalline quartz,” Appl. Opt. 51, 1976–1980 (2012).
24. H. Hurwitz, Jr. and R. C. Jones, “A new calculus for the treatment of optical systems,” J. Opt. Soc. Am. 31, 493–495 (1941).
25. J. L. Vilas, E. Bernabeu, L. M. Sanchez-Brea, and R. EspinosaLuna, “Circularly polarized light with high degree of circularity and low azimuthal error sensitivity,” Appl. Opt. 53, 3393–3398 (2014).
26. J. L. Vilas, L. M. Sanchez-Brea, and E. Bernabeu, “Optimal achromatic wave retarders using two birefringent wave plates,” Appl. Opt. 52, 1892–1896 (2013).
27. G. Ghosh, “Dispersion-equation coefficients for the refractive index and birefringence of calcite and quartz crystals,” Opt. Commun. 163, 95–102 (1999).
28. M. Bass, C. DeCusatis, J. Enoch, V. Lakshminarayanan, G. Li, C. MacDonald, V. Mahajan, and E. Van Stryland, Handbook of Optics, Vol. 4, Optical properties of materials Nonlinear Optics, Quantum Optics (Optical Society of America, 2009).
29. J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, “Convergence properties of the nelder-mead simplex method in low dimensions,” SIAM J. Optim. 9, 112–147 (1998).
30. MATLABv2014b, “fminsearch,” http://es.mathworks.com/help/matlab/ ref/fminsearch.html.