Finite-substrate-thickness cylindrical diffractive lenses: Exact and approximate boundary-element methods

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 16, Issue 6, 1999, Pages 1294-1302

  Hirayama, Koichi ^a   Igarashi, Ken ^a   Hayashi, Yoshio ^a   Glytsis, Elias N ^b   Gaylord, Thomas K ^b  

^a KITAMI INSTITUTE OF TECHNOLOGY   (Japan)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; DIFFRACTION; GREEN'S FUNCTION; LIGHT INTERFERENCE; LIGHT POLARIZATION; RESONANCE;

FINITE-SUBSTRATE-THICKNESS CYLINDRICAL DIFFRACTIVE LENSES; MULTIPLE INTERFERENCE RESONANCE EFFECTS;

OPTICAL INSTRUMENT LENSES;

EID: 0032615180     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.16.001294     Document Type: Article

References (28)

1. H. Nishihara and T. Suhara, “Micro Fresnel lenses,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1987), Vol. XXIV, pp. 1–40.
2. J. R. Leger, M. G. Moharam, and T. K. Gaylord, eds., feature diffractive optics applications, Appl. Opt. 34, 2399–2559 (1995).
3. H. M. Ozaktas, H. Urey, and A. W. Lohmann, “Scaling of diffractive and refractive lenses for optical computing and interconnections,” Appl. Opt. 33, 3782–3789 (1994).
4. K. S. Urquhart, P. Marchand, Y. Fainman, and S. H. Lee, “Diffractive optics applied to free-space optical interconnects,” Appl. Opt. 33, 3670–3682 (1994).
5. E. Noponen, J. Turunen, and A. Vasara, “Electromagnetic theory and design of diffractive-lens arrays,” J. Opt. Soc. Am. A 10, 434–443 (1993).
6. F. Montiel and M. Nevière, “Electromagnetic theory of Bragg–Fresnel linear zone plates,” J. Opt. Soc. Am. A 12, 2672–2678 (1995).
7. A. Wang and A. Prata Jr., “Lenslet analysis by rigorous vector diffraction theory,” J. Opt. Soc. Am. A 12, 1161–1169 (1995).
8. J. Popelek and F. Urban, “The vector analysis of the real diffractive optical elements,” in Nonconventional Optical Imaging Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 2169, 89–99 (1994).
9. B. Lichtenberg and N. C. Gallagher, “Numerical modeling of diffractive devices using the finite element method,” Opt. Eng. (Bellingham) 33, 3518–3526 (1994).
10. D. W. Prather, M. S. Mirotznik, and J. N. Mait, “Boundary integral methods applied to the analysis of diffractive optical elements,” J. Opt. Soc. Am. A 14, 34–43 (1997).
11. M. S. Mirotznik, D. W. Prather, and J. N. Mait, “A hybrid finite element–boundary element method for the analysis of diffractive elements,” J. Mod. Opt. 43, 1309–1321 (1996).
12. K. Hirayama, E. N. Glytsis, T. K. Gaylord, and D. W. Wilson, “Rigorous electromagnetic analysis of diffractive cylindrical lenses,” J. Opt. Soc. Am. A 13, 2219–2231 (1996).
13. E. N. Glytsis, M. E. Harrigan, K. Hirayama, and T. K. Gaylord, “Collimating cylindrical diffractive lenses: rigorous electromagnetic analysis and scalar approximation,” Appl. Opt. 37, 34–43 (1998).
14. E. N. Glytsis, M. E. Harrigan, T. K. Gaylord, and K. Hirayama, “Effects of fabrication errors on the performance of cylindrical diffractive lenses: rigorous boundary element method and scalar approximation,” Appl. Opt. 37, 6591–6602 (1998).
15. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N.J., 1973), pp. 506–538.
16. G. S. Smith, “Directive properties of antennas for transmission into a material half-space,” IEEE Trans. Antennas Propag. AP-32, 232–246 (1984).
17. C. M. Butler, “Current induced on a conducting strip which resides on the planar interface between two semi-infinite half-spaces,” IEEE Trans. Antennas Propag. AP-32, 226–231 (1984).
18. C. M. Butler, X. Xu, and A. W. Glisson, “Current induced on a conducting cylinder located near the planar interface between two semi-infinite half-spaces,” IEEE Trans. Antennas Propag. AP-33, 616–624 (1985).
19. P. G. Cottis and J. D. Kanellopoulos, “Scattering from dielectric cylinders embedded in a two-layer lossy medium,” Int. J. Electron. 61, 477–486 (1986).
20. X. Xu and A. W. Glisson, “Scattering of TM excitation by coupled and partially buried cylinders at the interface between two media,” IEEE Trans. Antennas Propag. AP-35, 529–538 (1987).
21. N. P. Zhuck and A. G. Yarovoy, “Two-dimensional scattering from an inhomogeneous dielectric cylinder embedded in a stratified medium: case of TM polarization,” IEEE Trans. Antennas Propag. 42, 16–21 (1994).
22. E. Nishimura, N. Morita, and N. Kumagi, “Scattering of guided modes caused by an arbitrarily shaped broken end in a dielectric slab waveguide,” IEEE Trans. Microwave Theory Tech. MTT-31, 923–930 (1983).
23. T. Kojima and J. Ido, “Boundary-element method analysis of light-beam scattering and the sum and differential signal output by DRAW-type optical disk models,” Electron. Commun. Jpn., Part 2: Electron. 74, 11–20 (1991).
24. M. Koshiba, Optical Waveguide Theory by the Finite Element Method (KTK, Publishers, Tokyo, 1992), pp. 43–47.
25. K. Hirayama, E. N. Glytsis, and T. K. Gaylord, “Rigorous electromagnetic analysis of diffraction by finite-number-ofperiods gratings,” J. Opt. Soc. Am. A 14, 907–917 (1997).
26. D. A. Buralli, G. M. Morris, and J. R. Rogers, “Optical performance of holographic kinoforms,” Appl. Opt. 28, 976–983 (1989).
27. M. Rossi, R. E. Kunz, and H. P. Herzig, “Refractive and diffractive properties of planar micro-optical elements,” Appl. Opt. 34, 5996–6007 (1995).
28. R. Kingslake, Optical System Design (Academic, Orlando, Fla., 1983), p. 124.