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Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region |
Optics Express, Vol. 20, Issue 10, pp. 10692-10700 (2012)
http://dx.doi.org/10.1364/OE.20.010692
Acrobat PDF (1639 KB)
Abstract
Two kinds of Al/Zr (Al(1%wtSi)/Zr and Al(Pure)/Zr) multilayers for extreme ultraviolet (EUV) optics were deposited on fluorine doped tin oxide coated glass by using direct–current magnetron sputtering technology. The comparison of the two systems shows that the Al(1%wtSi)/Zr multilayers have the lowest interfacial roughness and highest reflectivity. Based on the X–ray diffraction, the performance of the two systems is determined by the crystallization of Al layer. To fully understand the Al(1%wtSi)/Zr multilayer, we built up a two–layer model to fit situation of the AFM images, and simulate the grazing incident x–ray reflection-measurements of multilayers with various periods (N = 10, 40, 60, 80). Below 40 periods, the roughness components are lowered. After 40 periods, both surface and interfacial roughness increase with the period number, and decrease the reflectance. According to transmission electron microscope images, the model can represent the variable structure of the system.
© 2012 OSA
1. Introduction
D. L. Windt, S. Donguy, J. Seely, B. Kjornrattanawanich, E. M. Gullikson, C. C. Walton, L. Golub, and E. DeLuca, “EUV Multilayers for Solar Physics,” Proc. SPIE 5168, 1–11 (2004). [CrossRef]
D. L. Windt, S. Donguy, J. Seely, B. Kjornrattanawanich, E. M. Gullikson, C. C. Walton, L. Golub, and E. DeLuca, “EUV Multilayers for Solar Physics,” Proc. SPIE 5168, 1–11 (2004). [CrossRef]
S. Bajt, J. B. Alameda, T. W. Barbee Jr, W. M. Clift, J. A. Folta, B. Kaufmann, and E. A. Spiller, “Improved reflectance and stability of Mo-Si multilayers,” Opt. Eng. 41(8), 1797–1804 (2002). [CrossRef]
D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt. 48(26), 4932–4941 (2009). [CrossRef] [PubMed]
M.-H. Hu, K. Le Guen, J.-M. André, P. Jonnard, E. Meltchakov, F. Delmotte, and A. Galtayries, “Structural properties of Al/Mo/SiC multilayers with high reflectivity for extreme ultraviolet light,” Opt. Express 18(19), 20019–20028 (2010). [CrossRef] [PubMed]
J. Zhu, S. Zhou, H. Li, Q. Huang, Z. Wang, K. L. Guen, M.-H. Hu, J.-M. André, and P. Jonnard, “Comparison of Mg-based multilayers for solar He II radiation at 30.4 nm wavelength,” Appl. Opt. 49(20), 3922–3925 (2010). [CrossRef] [PubMed]
K. Le Guen, M.-H. Hu, J.-M. André, P. Jonnard, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, and C. Meny, “Development and interfacial characterization of Co/Mg periodic multilayers for the EUV range,” J. Phys. Chem. C 114(14), 6484–6490 (2010). [CrossRef]
D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt. 48(26), 4932–4941 (2009). [CrossRef] [PubMed]
K. Le Guen, M.-H. Hu, J.-M. André, P. Jonnard, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, and C. Meny, “Development and interfacial characterization of Co/Mg periodic multilayers for the EUV range,” J. Phys. Chem. C 114(14), 6484–6490 (2010). [CrossRef]
J. Zhu, S. Zhou, H. Li, Q. Huang, Z. Wang, K. L. Guen, M.-H. Hu, J.-M. André, and P. Jonnard, “Comparison of Mg-based multilayers for solar He II radiation at 30.4 nm wavelength,” Appl. Opt. 49(20), 3922–3925 (2010). [CrossRef] [PubMed]
K. Le Guen, M.-H. Hu, J.-M. André, P. Jonnard, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, and C. Meny, “Development and interfacial characterization of Co/Mg periodic multilayers for the EUV range,” J. Phys. Chem. C 114(14), 6484–6490 (2010). [CrossRef]
D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt. 48(26), 4932–4941 (2009). [CrossRef] [PubMed]
D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt. 48(26), 4932–4941 (2009). [CrossRef] [PubMed]
D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “A 10,000 groove/mm multilayer coated grating for EUV spectroscopy,” Opt. Express 19(7), 6320–6325 (2011). [CrossRef] [PubMed]
D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “A 10,000 groove/mm multilayer coated grating for EUV spectroscopy,” Opt. Express 19(7), 6320–6325 (2011). [CrossRef] [PubMed]
2. Experimental
J. Zhu, S. Zhou, H. Li, Q. Huang, Z. Wang, K. L. Guen, M.-H. Hu, J.-M. André, and P. Jonnard, “Comparison of Mg-based multilayers for solar He II radiation at 30.4 nm wavelength,” Appl. Opt. 49(20), 3922–3925 (2010). [CrossRef] [PubMed]
E. Meltchakov, A. Ziani, F. Auchere, X. Zhang, M. Roulliay, S. De Rossi, Ch. Bourassin-Bouchet, A. Jérome, F. Bridou, F. Varniere, and F. Delmotte, “EUV reflectivity and stability of tri-component Al-based multilayers,” Proc. SPIE 8168, 816819, 816819-9 (2011). [CrossRef]
3. Results and discussion
3.1 Al (1%wtSi)/Zr and Al (Pure)/Zr multilayers
M.-H. Hu, K. Le Guen, J.-M. André, P. Jonnard, E. Meltchakov, F. Delmotte, and A. Galtayries, “Structural properties of Al/Mo/SiC multilayers with high reflectivity for extreme ultraviolet light,” Opt. Express 18(19), 20019–20028 (2010). [CrossRef] [PubMed]
| Combination | D/nm | Gamma | N | Reflective/% | FWHM |
|---|---|---|---|---|---|
| Mo/Si | 9.8 | 0.4 | 40 | 51.6 | 1.60 |
| Al(1%wtSi)/Zr | 9.3 | 0.4 | 40 | 70.9 | 0.93 |
| Al(Pure)/Zr | 9.3 | 0.4 | 40 | 71.0 | 0.93 |
M.-H. Hu, K. Le Guen, J.-M. André, P. Jonnard, E. Meltchakov, F. Delmotte, and A. Galtayries, “Structural properties of Al/Mo/SiC multilayers with high reflectivity for extreme ultraviolet light,” Opt. Express 18(19), 20019–20028 (2010). [CrossRef] [PubMed]
D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “A 10,000 groove/mm multilayer coated grating for EUV spectroscopy,” Opt. Express 19(7), 6320–6325 (2011). [CrossRef] [PubMed]
3.2 The performance of Al (1%wtSi)/Zr multilayer
H. Nii, M. Niibe, H. Kinoshita, and Y. Sugie, “Fabrication of Mo/Al multilayer films for a wavelength of 18.5 nm,” J. Synchrotron Radiat. 5(3), 702–704 (1998). [CrossRef] [PubMed]
H. Nii, M. Miyagawa, Y. Matsuo, Y. Sugie, M. Niibe, and H. Kinoshita, “Control of Roughness in Mo/Al Multilayer Film Fabricated by DC Magnetron Sputtering,” Jpn. J. Appl. Phys. 41(Part 1, No. 8), 5338–5341 (2002). [CrossRef]
D. G. Stearns, D. P. Gaines, D. W. Sweeney, and E. M. Gullikson, “Nonspecular x-ray scattering in a multilayer-coated imaging system,” J. Appl. Phys. 84(2), 1003–1028 (1998). [CrossRef]
M. Trost, S. Schröder, T. Feigl, A. Duparré, and A. Tünnermann, “Influence of the substrate finish and thin film roughness on the optical performance of Mo/Si multilayers,” Appl. Opt. 50(9), C148–C153 (2011). [CrossRef] [PubMed]
H. Nii, M. Niibe, H. Kinoshita, and Y. Sugie, “Fabrication of Mo/Al multilayer films for a wavelength of 18.5 nm,” J. Synchrotron Radiat. 5(3), 702–704 (1998). [CrossRef] [PubMed]
H. Nii, M. Miyagawa, Y. Matsuo, Y. Sugie, M. Niibe, and H. Kinoshita, “Control of Roughness in Mo/Al Multilayer Film Fabricated by DC Magnetron Sputtering,” Jpn. J. Appl. Phys. 41(Part 1, No. 8), 5338–5341 (2002). [CrossRef]
D. L. Windt, “IMD–Software for modeling the optical properties of multilayer films,” Comput. Phys. 12(4), 360–370 (1998). [CrossRef]
Q. Yang and L. R. Zhao, “Characterization of nano-layered multilayer coatings using modified Bragg law,” Mater. Charact. 59(9), 1285–1291 (2008). [CrossRef]
D. L. Windt, “IMD–Software for modeling the optical properties of multilayer films,” Comput. Phys. 12(4), 360–370 (1998). [CrossRef]
D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “A 10,000 groove/mm multilayer coated grating for EUV spectroscopy,” Opt. Express 19(7), 6320–6325 (2011). [CrossRef] [PubMed]
D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt. 48(26), 4932–4941 (2009). [CrossRef] [PubMed]
4. Conclusion
Acknowledgments
References and links
D. L. Windt, S. Donguy, J. Seely, B. Kjornrattanawanich, E. M. Gullikson, C. C. Walton, L. Golub, and E. DeLuca, “EUV Multilayers for Solar Physics,” Proc. SPIE 5168, 1–11 (2004). [CrossRef] | |
A. J. Corso, P. Zuppella, P. Nicolosi, D. L. Windt, E. Gullikson, and M. G. Pelizzo, “Capped Mo/Si multilayers with improved performance at 30.4 nm for future solar missions,” Opt. Express 19(15), 13963–13973 (2011). [CrossRef] [PubMed] | |
S. Bajt, J. B. Alameda, T. W. Barbee Jr, W. M. Clift, J. A. Folta, B. Kaufmann, and E. A. Spiller, “Improved reflectance and stability of Mo-Si multilayers,” Opt. Eng. 41(8), 1797–1804 (2002). [CrossRef] | |
D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt. 48(26), 4932–4941 (2009). [CrossRef] [PubMed] | |
P. Jonnard, K. Le Guen, M.-H. Hu, J.-M. André, E. Meltchakov, C. Hecquet, F. Delmotte, and A. Galtayries, “Optical, chemical and depth characterization of Al/SiC periodic multilayers,” Proc. SPIE 7360, 73600O 1–9 (1997). | |
E. Meltchakov, C. Hecquet, M. Roulliay, S. Rossi, Y. Menesguen, A. Jérome, F. Bridou, F. Varniere, M.-F. Ravet-Krill, and F. Delmotte, “Development of Al-based multilayer optics for EUV,” Appl. Phys., A Mater. Sci. Process. 98(1), 111–117 (2010). [CrossRef] | |
M.-H. Hu, K. Le Guen, J.-M. André, P. Jonnard, E. Meltchakov, F. Delmotte, and A. Galtayries, “Structural properties of Al/Mo/SiC multilayers with high reflectivity for extreme ultraviolet light,” Opt. Express 18(19), 20019–20028 (2010). [CrossRef] [PubMed] | |
J. Zhu, S. Zhou, H. Li, Q. Huang, Z. Wang, K. L. Guen, M.-H. Hu, J.-M. André, and P. Jonnard, “Comparison of Mg-based multilayers for solar He II radiation at 30.4 nm wavelength,” Appl. Opt. 49(20), 3922–3925 (2010). [CrossRef] [PubMed] | |
K. Le Guen, M.-H. Hu, J.-M. André, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, C. Meny, A. Galtayries, and P. Jonnard, “Observation of an asymmetrical effect when introducing Zr in Mg/Co multilayers,” Appl. Phys. Lett. 98(25), 251909 (2011). [CrossRef] | |
K. Le Guen, M.-H. Hu, J.-M. André, P. Jonnard, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, and C. Meny, “Development and interfacial characterization of Co/Mg periodic multilayers for the EUV range,” J. Phys. Chem. C 114(14), 6484–6490 (2010). [CrossRef] | |
D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “A 10,000 groove/mm multilayer coated grating for EUV spectroscopy,” Opt. Express 19(7), 6320–6325 (2011). [CrossRef] [PubMed] | |
D. L. Voronov, E. H. Anderson, R. Cambie, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “Roughening and smoothing behavior of Al/Zr multilayers grown on flat and saw-tooth substrates,” Proc. SPIE 8139, 81390B 1–10 (2011). | |
S. B. Qadri, C. Kim, M. Twigg, and D. Moon, “Ion-beam deposition of Zr-Al multilayers and their structural properties,” Surf. Coat. Tech. 54, 335–337 (1992). | |
J.-K. Ho and K.-L. Lin, “The structures of compositionally modulated multilayer films,” Scr. Metall. Mater. 33(12), 1895–1900 (1995). [CrossRef] | |
J.-K. Ho and K.-L. Lin, “The metastable Al/Zr alloy thin films prepared by alternate sputtering Deposition,” J. Appl. Phys. 75(5), 2434–2440 (1994). [CrossRef] | |
K. J. Blobaum, T. P. Weihs, T. W. Barbee Jr, and M. A. Wall, “Solid state reaction of Al and Zr in Al/Zr multilayers: a calorimetry study,” in Spring meeting of the Materials Research Society (MRS), San Francisco, CA (United States), 17-21 Apr (1995). | |
E. Meltchakov, A. Ziani, F. Auchere, X. Zhang, M. Roulliay, S. De Rossi, Ch. Bourassin-Bouchet, A. Jérome, F. Bridou, F. Varniere, and F. Delmotte, “EUV reflectivity and stability of tri-component Al-based multilayers,” Proc. SPIE 8168, 816819, 816819-9 (2011). [CrossRef] | |
H. Nii, M. Niibe, H. Kinoshita, and Y. Sugie, “Fabrication of Mo/Al multilayer films for a wavelength of 18.5 nm,” J. Synchrotron Radiat. 5(3), 702–704 (1998). [CrossRef] [PubMed] | |
H. Nii, M. Miyagawa, Y. Matsuo, Y. Sugie, M. Niibe, and H. Kinoshita, “Control of Roughness in Mo/Al Multilayer Film Fabricated by DC Magnetron Sputtering,” Jpn. J. Appl. Phys. 41(Part 1, No. 8), 5338–5341 (2002). [CrossRef] | |
D. G. Stearns, D. P. Gaines, D. W. Sweeney, and E. M. Gullikson, “Nonspecular x-ray scattering in a multilayer-coated imaging system,” J. Appl. Phys. 84(2), 1003–1028 (1998). [CrossRef] | |
M. Trost, S. Schröder, T. Feigl, A. Duparré, and A. Tünnermann, “Influence of the substrate finish and thin film roughness on the optical performance of Mo/Si multilayers,” Appl. Opt. 50(9), C148–C153 (2011). [CrossRef] [PubMed] | |
D. L. Windt, “IMD–Software for modeling the optical properties of multilayer films,” Comput. Phys. 12(4), 360–370 (1998). [CrossRef] | |
Q. Yang and L. R. Zhao, “Characterization of nano-layered multilayer coatings using modified Bragg law,” Mater. Charact. 59(9), 1285–1291 (2008). [CrossRef] |
OCIS Codes
(310.6860) Thin films : Thin films, optical properties
(340.7480) X-ray optics : X-rays, soft x-rays, extreme ultraviolet (EUV)
ToC Category:
X-ray Optics
History
Original Manuscript: March 16, 2012
Revised Manuscript: April 15, 2012
Manuscript Accepted: April 15, 2012
Published: April 24, 2012
Citation
Qi Zhong, Wenbin Li, Zhong Zhang, Jingtao Zhu, Qiushi Huang, Haochuan Li, Zhanshan Wang, Philippe Jonnard, Karine Le Guen, Jean-Michel André, Hongjun Zhou, and Tonglin Huo, "Optical and structural performance of the Al(1%wtSi)/Zr reflection multilayers in the 17–19nm region," Opt. Express 20, 10692-10700 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-10-10692
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References
- D. L. Windt, S. Donguy, J. Seely, B. Kjornrattanawanich, E. M. Gullikson, C. C. Walton, L. Golub, and E. DeLuca, “EUV Multilayers for Solar Physics,” Proc. SPIE5168, 1–11 (2004). [CrossRef]
- A. J. Corso, P. Zuppella, P. Nicolosi, D. L. Windt, E. Gullikson, and M. G. Pelizzo, “Capped Mo/Si multilayers with improved performance at 30.4 nm for future solar missions,” Opt. Express19(15), 13963–13973 (2011). [CrossRef] [PubMed]
- S. Bajt, J. B. Alameda, T. W. Barbee, W. M. Clift, J. A. Folta, B. Kaufmann, and E. A. Spiller, “Improved reflectance and stability of Mo-Si multilayers,” Opt. Eng.41(8), 1797–1804 (2002). [CrossRef]
- D. L. Windt and J. A. Bellotti, “Performance, structure, and stability of SiC/Al multilayer films for extreme ultraviolet applications,” Appl. Opt.48(26), 4932–4941 (2009). [CrossRef] [PubMed]
- P. Jonnard, K. Le Guen, M.-H. Hu, J.-M. André, E. Meltchakov, C. Hecquet, F. Delmotte, and A. Galtayries, “Optical, chemical and depth characterization of Al/SiC periodic multilayers,” Proc. SPIE7360, 73600O 1–9 (1997).
- E. Meltchakov, C. Hecquet, M. Roulliay, S. Rossi, Y. Menesguen, A. Jérome, F. Bridou, F. Varniere, M.-F. Ravet-Krill, and F. Delmotte, “Development of Al-based multilayer optics for EUV,” Appl. Phys., A Mater. Sci. Process.98(1), 111–117 (2010). [CrossRef]
- M.-H. Hu, K. Le Guen, J.-M. André, P. Jonnard, E. Meltchakov, F. Delmotte, and A. Galtayries, “Structural properties of Al/Mo/SiC multilayers with high reflectivity for extreme ultraviolet light,” Opt. Express18(19), 20019–20028 (2010). [CrossRef] [PubMed]
- J. Zhu, S. Zhou, H. Li, Q. Huang, Z. Wang, K. L. Guen, M.-H. Hu, J.-M. André, and P. Jonnard, “Comparison of Mg-based multilayers for solar He II radiation at 30.4 nm wavelength,” Appl. Opt.49(20), 3922–3925 (2010). [CrossRef] [PubMed]
- K. Le Guen, M.-H. Hu, J.-M. André, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, C. Meny, A. Galtayries, and P. Jonnard, “Observation of an asymmetrical effect when introducing Zr in Mg/Co multilayers,” Appl. Phys. Lett.98(25), 251909 (2011). [CrossRef]
- K. Le Guen, M.-H. Hu, J.-M. André, P. Jonnard, S. K. Zhou, H. Ch. Li, J. T. Zhu, Z. S. Wang, and C. Meny, “Development and interfacial characterization of Co/Mg periodic multilayers for the EUV range,” J. Phys. Chem. C114(14), 6484–6490 (2010). [CrossRef]
- D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “A 10,000 groove/mm multilayer coated grating for EUV spectroscopy,” Opt. Express19(7), 6320–6325 (2011). [CrossRef] [PubMed]
- D. L. Voronov, E. H. Anderson, R. Cambie, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, “Roughening and smoothing behavior of Al/Zr multilayers grown on flat and saw-tooth substrates,” Proc. SPIE8139, 81390B 1–10 (2011).
- S. B. Qadri, C. Kim, M. Twigg, and D. Moon, “Ion-beam deposition of Zr-Al multilayers and their structural properties,” Surf. Coat. Tech.54, 335–337 (1992).
- J.-K. Ho and K.-L. Lin, “The structures of compositionally modulated multilayer films,” Scr. Metall. Mater.33(12), 1895–1900 (1995). [CrossRef]
- J.-K. Ho and K.-L. Lin, “The metastable Al/Zr alloy thin films prepared by alternate sputtering Deposition,” J. Appl. Phys.75(5), 2434–2440 (1994). [CrossRef]
- K. J. Blobaum, T. P. Weihs, T. W. Barbee, and M. A. Wall, “Solid state reaction of Al and Zr in Al/Zr multilayers: a calorimetry study,” in Spring meeting of the Materials Research Society (MRS), San Francisco, CA (United States), 17-21 Apr (1995).
- E. Meltchakov, A. Ziani, F. Auchere, X. Zhang, M. Roulliay, S. De Rossi, Ch. Bourassin-Bouchet, A. Jérome, F. Bridou, F. Varniere, and F. Delmotte, “EUV reflectivity and stability of tri-component Al-based multilayers,” Proc. SPIE8168, 816819, 816819-9 (2011). [CrossRef]
- H. Nii, M. Niibe, H. Kinoshita, and Y. Sugie, “Fabrication of Mo/Al multilayer films for a wavelength of 18.5 nm,” J. Synchrotron Radiat.5(3), 702–704 (1998). [CrossRef] [PubMed]
- H. Nii, M. Miyagawa, Y. Matsuo, Y. Sugie, M. Niibe, and H. Kinoshita, “Control of Roughness in Mo/Al Multilayer Film Fabricated by DC Magnetron Sputtering,” Jpn. J. Appl. Phys.41(Part 1, No. 8), 5338–5341 (2002). [CrossRef]
- D. G. Stearns, D. P. Gaines, D. W. Sweeney, and E. M. Gullikson, “Nonspecular x-ray scattering in a multilayer-coated imaging system,” J. Appl. Phys.84(2), 1003–1028 (1998). [CrossRef]
- M. Trost, S. Schröder, T. Feigl, A. Duparré, and A. Tünnermann, “Influence of the substrate finish and thin film roughness on the optical performance of Mo/Si multilayers,” Appl. Opt.50(9), C148–C153 (2011). [CrossRef] [PubMed]
- D. L. Windt, “IMD–Software for modeling the optical properties of multilayer films,” Comput. Phys.12(4), 360–370 (1998). [CrossRef]
- Q. Yang and L. R. Zhao, “Characterization of nano-layered multilayer coatings using modified Bragg law,” Mater. Charact.59(9), 1285–1291 (2008). [CrossRef]
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