Serviços Personalizados
Journal
Artigo
Indicadores
- Citado por SciELO
- Acessos
Links relacionados
- Similares em SciELO
Compartilhar
Revista mexicana de física
versão impressa ISSN 0035-001X
Rev. mex. fis. vol.52 no.2 México Abr. 2006
Investigación
Guidedwave modes in gradedindex optical fibers by twopoint quasirational approximants
E. Castro*, P. Martín, J. Puerta, and C. Cereceda
Departamento de Física, Universidad Simón Bolívar, Apartado 89000, Caracas 1080A, Venezuela,
*email: ecastro@usb.ve
Recibido el 8 de marzo de 2005
Aceptado el 7 de febrero de 2006
Abstract
Approximated analytic solutions for wave propagation in gradedindex optical fiber have been found in the case of a parabolic profile. Approximants with high accuracy are presented that are much better than those found by other authors. A twopoint quasirational method and twopoint Pade approximants are used in this work. The approximants are explicitly determined for the azimuthal eigenvalues l = 0,1,2 and the mth mode numbers m = 0,1, 2, 3.
Keywords: Twopoint quasirational approximants; gradedindex fibres; waveguide propagation and eigenmode analysis.
Resumen
En el presente trabajo, se obtuvieron soluciones analíticas aproximadas para la propagación de ondas en fibras ópticas con indice gradual en el caso de perfil parabólico. Los aproximantes obtenidos resultaron ser mas precisos que aquellas aproximaciones halladas previamente por otros autores. En este trabajo se usaron los aproximantes cuasiracionales a dos puntos y los aproximantes de Padé. Se determinaron explícitamente los determinantes para los autovalores azimutales l = 0,1, 2 y los modos m = 0,1, 2,3.
Descriptores: Aproximantes cuasiracionales a dos puntos; fibras opticas de indice graduado; propagación en guías de ondas y analisis de los modos normales.
PACS: 02.30 Mv,42.81.Qb,42.81.Ht
DESCARGAR ARTÍCULO EN FORMATO PDF
Acknowledgments
We would like to thank the referee for several suggestions which improved our first manuscript.
References
1. P.K. Cheo, Fiber Optics and Optoelectronics (Prentice Hall Series In Solid Physical Electronics, Second Edition, 1990) Ch. 4. [ Links ]
2. M. Young, Optics and Lasers: Including Fibers and Optical Waveguides (SpringerVerlag, Berlin Heidelberg, Fourth Revised Edition, 1993) Ch. 10. [ Links ]
3. C.C. Davis, Lasers and ElectroOptics, Fundamentals and Engineering (Cambridge University Press, 1996) Ch. 17. [ Links ]
4. W. Streifer and C.N. Kurtz, J. Opt. Soc. Am. 57 (1967) 779. [ Links ]
5. S. Kawakami and JunIchi Nishizawa, IEEE Trans. Microwave Theory Tech. MIT16 (1968) 814. [ Links ]
6. E.G. Jhonson, J. Stack and C. Koehler, J. Lightwave technol. 19 (2001) 753. [ Links ]
7. F.C. Mc Neillie, J. Thomson, and I.S. Ruddock, Eur. J. Phys. 25 (2004) 479. [ Links ]
8. J.W. Rose and S.S. Mitra, Optics Letter 6 (1981) 446. [ Links ]
9. A.H. Hartog and M.J. Adams, Opt. Quant. Elec. 9 (1977) 223. [ Links ]
10. G.A. Jr. Baker and P.R. GravesMorris, Pade Approximants, Part I: Basic Theory (Encyclopedia of Mathematics and its Applications Vol 14) (Cambridge: Cambridge University Press, 1981). [ Links ]
11. P. Martín , G. Donoso and J. Zamudio, J. Math. Phys. 21 (1980) 280. [ Links ]
12. E. Chalbaud and P. Martín, J. Math. Phys. 25 (1984) 1268. [ Links ]
13. E. Chalbaud and P. Martín, J. Math. Phys. 27 (1986) 699. [ Links ]
14. P. Martín and L. A. Guerrero, J. Math. Phys. 26 (1985) 705. [ Links ]
15. K. Visentin and P. Martín, J. Math. Phys. 28 (1987) 330. [ Links ]
16. A.L. Guerrero and P. Martín, J. Comput. Phys. 77 (1988) 276. [ Links ]
17. P. Martín and A.L. Guerrero, J. Comput. Phys. 85 (1989) 487. [ Links ]
18. P. Martín, and G. Baker, J. Math. Phys. 32 (1991) 1470. [ Links ]
19. E. Chalbaud and P. Martín, J. Math. Phys. 33 (1992) 2483. [ Links ]
20. P. Martín, R. Perez, and L.A. Guerrero, J. Comput. Phys. 99 (1992) 337. [ Links ]
21. L. Brualla and P. Martín, J. Phys. A: Math. Gen. 34 (2001) 9153. [ Links ]
22. P. Martín and J. Puerta, Eur. J. Phys. 12 (1991) 1992. [ Links ]
23. P. Martín, J.J. RodriguezNuñez, and J.L. Márquez, Phys. Rev. B 45 (1992) 8359. [ Links ]
24. E. Castro and P. Martín, J. Phys. A: Math. Gen. 33 (2000) 5321. [ Links ]
25. C.L. Ladera and P. Martín, J. Comput. Phys. 73 (1987) 481. [ Links ]
26. L.C. Ladera and P. Martín, J. Phys. A: Math. Gen. 34 (2001) 4571. [ Links ]
27. S. Nakamura, Applied Numerical Method with Software (Englewood Cliffs, N J: Prentice Hall, 1992) Ch. 9. [ Links ]