Diffraction by a fractal transmittance obtained from a multiplicative superposition of periodical rectangular functions

Fractals

Volumn 6, Issue 4, 1998, Pages 313-326

  Lehman, M ^a  

^a UNIVERSIDAD NACIONAL DEL SUR   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344432975     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X98000377     Document Type: Article

References (36)

1. J. D. Gaskill, Linear Systems, Fourier Transforms, and Optics (John Wiley & Sons, New York; 1978).
2. M. Born and W. Wolf, Principles of Optics, 6th ed. (Pergamon, New York, 1980).
3. D. L. Jaggard, in Recent Advances in Electromagnetic Theory, eds. H. N. Kritikos and D. L. Jaggard (Springer-Verlag, New York, 1990).
4. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
5. K. Falconer, Fractal Geometry (John Wiley & Sons, Chichester, England, 1990).
6. M. Barnsley, Fractals Everywhere (Academic Press Inc., San Diego, 1988).
7. J. Feder, Fractals (Plenum Press, New York, 1988).
8. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1986).
9. M. V. Berry, J. Phys. A: Math. Gen. 12, 781 (1979).
10. E. Jackeman, J. Phys. A: Math. Gen. 15, L55 (1982).
11. D. L. Jordan, R. C. Hollins and E. Jackeman, Appl. Phys. B 31, 179 (1983).
12. H. D. Bale and P. W. Schmidt, Phys. Rev. Lett. 53, 596 (1984).
13. C. A. Guerin and M. Holschneider, J. Phys. A: Math. Gen. 29, 7651 (1996).
14. Y. Kim, H. Grebel and D. L. Jaggard, JOSA A 8(1), 20 (1991).
15. C. Allain and M. Cloitre, Phys. Rev. B. 33(5), 3566 (1986).
16. J. Uozumi, H. Kimura and T. Asakura, J. Mod. Opt. 37(6), 1011 (1990).
17. J. Uozumi, H. Kimura and T. Asakura, Waves in Random Media 1, 73 (1991).
18. J. Uozumi, K. E. Peiponen, M. Savolainen, R. Silvennoinen and T. Asakura, Am. J. Phys. 62(3), 283 (1994).
19. Y. Sakurada, J. Uozumi and T. Asakura, Pure and Appl. Opt. 3, 371 (1994).
20. D. L. Jaggard and Y. Kim, JOSA A 4(6), 1055 (1987).
21. D. L. Jaggard and T. Spielman, Microw. and Opt. Tech. Lett. 5(9), 460 (1992).
22. D. L. Jaggard, T. Spielman and M. Dempsey, presented at the AP-S/URSI Meeting, Ann Arbor (USA), 1993 (unpublished).
23. A. Le Méhauté, Fractal Geometries: Theory and Applications (CRC Press Inc., Boca Raton, 1991).
24. M. Lehman, presented at the XXVth General Assembly of the International Union of Radio Science, Lille (France), 1996 (unpublished).
25. M. Lehman and E. E. Sicre, in 17th Congress of the International Commission for Optics: Optics for Science and New Technology, eds. Joon-Sung Chang, Jai-Hyung Lee, Soo-Young Lee and Chang-Hee, Proc. SPIE 2778, p. 365 (1996).
26. K. E. Peiponen, R. Silvennoinen, J. Uozumi, M. Savolainen and T. Asakura, Optik 97(3), 127 (1994).
27. M. Lehman, L. De Pasquale, D. Patrignani and J. L. Pombo, presented at the European Symposium on Lasers and Optics in Manufacturing, Fairgrounds, Münich (FR Germany), 1997.
28. M. Lehman, in Proc. of Fractals in Engineering (1997).
29. Y. Sakurada, J. Uozumi and T. Asakura, Pure Appl. Opt. 1, 29 (1992).
30. Y. Sakurada, J. Uozumi and T. Asakura, in Optics as a Key to High Technology, Proc. SPIE 1983, p. 371 (1994).
31. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
32. H. Bauer, Probability Theory and Elements of Measure Theory (Holt, Rinehart and Winston, Inc., New York, 1972).
33. J. L. Walsh, Amer. J. Math. 45, 5 (1923).
34. N. M. Blachman, Proc. IEEE 62(3), 346 (1974).
35. C. Colautti, B. Ruiz, E. E. Sicre and M. Garavaglia, J. Mod. Opt. 34(10), 1385 (1987).
36. L. N. Hazra and A. Guha, JOSA A 3(6), 843 (1986).