Abstract
Simple analytical relationships between the geometry of aperiodic thin-layer structures and the phase component of the reflection coefficient were deduced and investigated. The effective optical thickness of an aperiodic structure was introduced as a new parameter and then was analytically defined. The two-layer thin-layer model was proposed to describe wave properties of aperiodic thin layer structures with a weak spatial heterogeneity of the refractive index. This model significantly simplifies the relations that are used to analyze wave properties of this class of multilayer structures. The validity of the analytical results was proved by corresponding numerical calculations.
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REFERENCES
T. V. Rozenberg, The Optics of Thin-Film Coatings (Nauka, Moscow, 1958).
P. Kard, Analysis and Synthesis of Multilayer Interference Coatings (Valgus, Tallinn, 1971).
L. V. Brekhovskikh, Waves in Layered Media (Akad. Nauk SSSR, Moscow, 1973).
H. A. Macleod, Thin-Film Optical Filters (CRC Press, 2001).
A. S. Morlens, Opt. Lett. 31, 1558 (2006).
A. V. Kozar and A. V. Trofimov, Moscow Univ. Phys. Bull. 68, 377 (2013). https://doi.org/10.3103/ S0027134491305010X
A. Kikuchi and T. Miyamoto, Jpn. J. Appl. Phys. 53, 08MC02 (2014).
N. Dadashzadeh and O. G. Romanov, Vestn. Beloruss. Gos. Univ. Ser. 1, No. 1, 11 (2014).
F. Canova and L. Poletto, Optical Technologies for Extreme-Ultraviolet and Soft X-Ray Coherent Sourses (Springer, 2015).
A. V. Kozar’, in Proc. All-Union Conf. “Design and Application of Radioelectronic Devices Based on Dielectric Waveguides and Cavities, Saratov, 1983, p. 136.
A. V. Kozar’, in Proc. All-Union Seminar “Synthesis and Application of Multilayer Interference Systems,” Moscow, 1984, p. 118.
A. V. Kozar’, Opt. Spektrosk. 59, 1132 (1985).
A. V. Kozar’, Opt. Spektrosk. 64, 1130 (1988).
A. V. Kozar, in Proc. Int. Congress on Optical Science and Engineering “Optical Thin Films and Applications,” Hague, 1990, p. 45.
A. V. Kozar and E. L. Ryazanova, Moscow Univ. Phys. Bull. 45 (5), 50 (1990).
A. V. Kozar, in Proc. OSA Topical Meeting on Optical Interference Coatings, Tucson, 1992, p. 97.
A. V. Kozar’, Preprint No. 8 (Physical Faculty, Moscow State Univ., Moscow, 2003).
A. V. Kozar’ and E. V. Putrina, Vestn. Mosk. Univ. Fiz. Astron. 31 (6), 57 (1990).
A. V. Kozar’, E. V. Putrina, and O. V. Fionova, Vestn. Mosk. Univ. Fiz. Astron. 36 (3), 39 (1995).
A. V. Kozar and E. V. Putrina, Moscow Univ. Phys. Bull. 47 (6), 53 (1992).
S. P. Aleinikova, A. V. Kozar’, and E. V. Putrina, in Proc. IV All-Russian School-Seminar “Wave Phenomena in Inhomogeneous Media,” Krasnovidovo, 1994, p. 114.
Yu. A. Bobrovnikov, P. N. Gorokhov, and A. V. Kozar’, Quantum Electron. 33, 1019 (2003).
A. V. Kozar, Moscow Univ. Phys. Bull. 64, 291 (2009). https://doi.org/10.3103/S0027134909030138
Yu. A. Bobrovnikov, A. V. Kozar’, and P. N. Gorokhov, in Proc. VIII All-Russian School-Seminar “Wave Phenomena in Inhomogeneous Media,” Moscow, 2013, p. 53.
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Translated by D. Churochkin
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Kozar, A.V. The Optical Properties of Aperiodic Thin-Layer Structures: The Effective Optical Thickness. Moscow Univ. Phys. 73, 638–643 (2018). https://doi.org/10.3103/S0027134918060164
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DOI: https://doi.org/10.3103/S0027134918060164