Fourier analysis of harmonic frequency transmission dielectric structures

Applied Optics

Volumn 44, Issue 18, 2005, Pages 3774-3783

  Sánchez López, Maria Del Mar ^a   Cos, Joaquín ^a   Davis, Jeffrey A ^b   Miller, Darren A ^b   Moreno, Ignacio ^a  

^a MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

^b SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; OPTICAL COATINGS; RADIO INTERFERENCE; REFRACTIVE INDEX; WAVE FILTERS;

BINARY DIELECTRIC STRUCTURES; HARMONIC FREQUENCIES; OPTICAL INTERFERENCE FILMS; TRANSMISSION DIELECTRIC STRUCTURES;

DIELECTRIC MATERIALS;

EID: 22044449799     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.44.003774     Document Type: Article

References (28)

1. H. A. Macleod, Thin-Film Optical Filters, 3rd ed. (Institute of Physics Publishing, 1986), Chap. 6, pp. 248-255.
2. P. Yeh, Optical Waves in Layered Media (Wiley, 1988), Chaps. 5 and 6.
3. H. Taniyama, "Waveguide structures using one-dimensional photonic crystal," J. Appl. Phys. 91, 3511-3515 (2002).
4. M. Deopura, C. K. Ullal, B. Temelkuran, and Y. Fink, "Dielec tric omnidirectional visible reflector," Opt. Lett. 26, 1197-1199 (2001).
5. A. Thelen, "Multilayer niters with wide transmittance bands," J. Opt. Soc. Am. 53, 1266-1270 (1963).
6. W. E. Johnson and R. L. Crane, "Introduction to rugate filter technology," in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski and P. G. Verly, eds., Proc. SPIE 2046, 88-108 (1993).
7. W. H. Southwell, "Extended-bandwidth reflector designs by using wavelets," Appl. Opt. 36, 314-318 (1997).
8. P. L. Swart, P. V. Bulkin, and B. M. Lacquet, "Rugate filter manufacturing by electron cyclotron resonance plasmaenhanced chemical vapor deposition of SiNx," Opt. Eng. 36, 1214-1219 (1997).
9. P. G. Verly, J. A. Dobrowolski, W. J. Wild, and R. L. Burton, "Synthesis of high rejection filters with the Fourier transform method," Appl. Opt. 28, 2864-2875 (1989).
10. B. E. Perilloux, Thin-Film Design: Modulated Thickness and Other Stopband Design Methods (SPIE Press, 2002), Chaps. 1 and 2.
11. J. A. Dobrowolski and D. Lowe, "Optical thin film synthesis program based on the use of Fourier transform," Appl. Opt. 17, 3039-3050 (1978).
12. B. G. Bovard, "Derivation of a matrix describing a rugate dielectric thin film," Appl. Opt. 27, 1998-2005 (1988).
13. B. G. Bovard, "Fourier transform technique applied to quarterwave optical coatings," Appl. Opt. 27, 3062-3063 (1988).
14. B. G. Bovard, "Rugate filter design: the modified Fourier transform technique," Appl. Opt. 29, 24-30 (1990).
15. P. G. Verly, "Fourier transform technique with frequency filtering for optical thin-film design," Appl. Opt. 34, 688-694 (1995).
16. M. C. Parker, R. J. Mears, and S. D. Walker, "A Fourier transform theory for photon localization and evanescence in photonic bandgap structures," J. Opt. A Pure Appl. Opt. 3, 171-183 (2001).
17. P. Baumeister, "Simulation of a rugate filter via a stepped-index dielectric multilayer," Appl. Opt. 25, 2644-2645 (1986).
18. M. M. Sánchez-López, J. A. Davis, and K. Crabtree, "Coaxial cable analogs of multilayer dielectric optical coatings," Am. J. Phys. 71, 1314-1319 (2003).
19. G. J. Schneider, S. Hanna, J. L. Davis, and G. H. Watson, "Defect modes in coaxial photonic crystals," J. Appl. Phys. 90, 2642-2649 (2001).
20. J. N. Munday and W. M. Robertson, "Negative group velocity pulse tunneling through a coaxial photonic crystal," Appl. Phys. Lett. 81, 2127-2129 (2002).
21. A. Haché and A. Slimani, "A model coaxial photonic crystal for studying band structures, dispersion, field localization, and superluminal effects," Am. J. Phys. 72, 916-921 (2004).
22. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).
23. S. Zhu, N. Liu, H. Zheng, and H. Chen, "Time delay of light propagation through defect modes of one-dimensional photonic band-gap structures," Opt. Commun. 174, 139-144 (2000).
24. L. Carretero, M. Ulibarrena, S. Blaya, and A. Fimia, "One- dimensional photonic crystals with an amplitude-modulated dielectric constant in the unit cell," Appl. Opt. 43, 2895-2899 (2004).
25. J. D. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, 1978), Chap. 3.
26. G. F. Miner, Lines and Electromagnetic Fields for Engineers (Oxford U. Press, 1996), Chap. 1.
27. N. G. R. Broderick, R. T. Bratfalean, T. M. Monro, and D. J. Richardson, "Temperature and wavelength tuning of second, third and fourth-harmonic generation in a two-dimensional hexagonally poled nonlinear crystal," J. Opt. Soc. Am. B 19, 2263-2272 (2002).
28. J. Mes, E. J. Van Duijn, R. Zinkstok, S. Witte, and W. Hogervorst, "Third-harmonic generation of a continuous-wave Ti: sapphire laser in external resonant cavities," Appl. Phys. Lett. 82, 4423-4425 (2003).