OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 6 — Jun. 1, 2005
  • pp: 1053–1065

Intermode light diffusion in multimode optical waveguides with rough surfaces

S. Stepanov, E. I. Chaikina, T. A. Leskova, and E. R. Méndez  »View Author Affiliations

JOSA A, Vol. 22, Issue 6, pp. 1053-1065 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (261 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A theoretical analysis of incoherent intermode light power diffusion in multimode dielectric waveguides with rough (corrugated) surfaces is presented. The correlation length a of the surface-profile variations is assumed to be sufficiently large ( a λ 2 π ) to permit light scattering into the outer space only from the modes close to the critical angles of propagation and yet sufficiently small ( a d , where d is the average width of the waveguide) to permit direct interaction between a given mode and a large number of neighboring ones. The cases of a one-dimensional (1D) slab waveguide and a two-dimensional cylindrical waveguide (optical fiber) are analyzed, and we find that in both cases the partial differential equations that govern the evolution of the angular light power profile propagating along the waveguide are 1D and of the diffusion type. However, whereas in the former case the effective conductivity coefficient proves to be linearly dependent on the transverse-mode wave number, in the latter one the linear dependence is for the effective diffusion coefficient. The theoretical predictions are in reasonable agreement with experimental results for the intermode power diffusion in multimode ( 700 × 700 ) optical fibers with etched surfaces. The characteristic length of dispersion of a narrow angular power profile evaluated from the correlation length and standard deviation of heights of the surface profile proved to be in good agreement with the experimentally observed changes in the output angular power profiles.

© 2005 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(290.1990) Scattering : Diffusion
(290.5880) Scattering : Scattering, rough surfaces

Original Manuscript: June 8, 2004
Revised Manuscript: November 14, 2004
Manuscript Accepted: November 18, 2004
Published: June 1, 2005

S. Stepanov, T. A. Leskova, E. R. Méndez, and E. I. Chaikina, "Intermode light diffusion in multimode optical waveguides with rough surfaces," J. Opt. Soc. Am. A 22, 1053-1065 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. T. Boyd, D. B. Anderson, “Effect of waveguide optical scattering on the integrated optical spectrum analyzer dynamic range,” IEEE J. Quantum Electron. QE-14, 437–443 (1978). [CrossRef]
  2. E. Bradley, D. G. Hall, “Out-of-plane scattering from glass waveguides: comparison of theory and experiment,” Opt. Lett. 7, 235–237 (1982). [CrossRef] [PubMed]
  3. D. Gloge, A. Tynes, M. Duguay, J. Hansen, “Picosecond pulse distortion in optical fibers,” IEEE J. Quantum Electron. QE-8, 217–221 (1972). [CrossRef]
  4. D. Marcuse, “Mode conversion caused by surface imperfections of a dielectric slab waveguide,” Bell Syst. Tech. J. 48, 3187–3215 (1969). [CrossRef]
  5. D. Marcuse, “Radiation losses of dielectric waveguides in terms of the power spectrum of the wall distortion function,” Bell Syst. Tech. J. 48, 3233–3242 (1969). [CrossRef]
  6. D. G. Hall, “Comparison of two approaches to the waveguide scattering problem,” Appl. Opt. 19, 1732–1734 (1980). [CrossRef] [PubMed]
  7. D. Marcuse, Theory of Dielectric Optical Waveguides, 2nd ed. (Academic, Boston, Mass. 1991).
  8. D. Gloge, “Optical power flow in multimode fibers,” Bell Syst. Tech. J. 51, 1767–1783 (1972). [CrossRef]
  9. F. G. Bass, V. D. Freulicher, I. M. Fuks, “Damping of proper waves in a plate with rough walls,” JETP Lett. 7, 373–375 (1968).
  10. F. G. Bass, V. D. Freulicher, I. M. Fuks, “The average field of a point source in a waveguide with rough walls,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 12, 1521–1531 (1969) (in Russian).
  11. F. G. Bass, V. D. Freulicher, I. M. Fuks, “Radiation transfer equation in waveguide with statistically rough walls,” Ukr. Phys. J. 14, 1548–1551 (1969) (in Russian).
  12. F. G. Bass, V. D. Freulicher, I. M. Fuks, “Propagation in statistically irregular waveguides—Part II: Second order statistical moments,” IEEE Trans. Antennas Propag. AP-22, 288–295 (1974). [CrossRef]
  13. F. G. Bass, I. M. Fuks, Wave Scattering from Statistically Rough Surfaces (Pergamon, New York, 1979).
  14. P. Shen, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena (Academic, San Diego, Calif., 1995).
  15. A. Z. Genack, N. Garcia, “Observation of photon localization in a three-dimensional disordered system,” Phys. Rev. Lett. 66, 2064–2067 (1991). [CrossRef] [PubMed]
  16. M. S. Stoychev, A. Z. Genack, “Observation of non-Rayleigh statistics in the approach to photon localization,” Opt. Lett. 24, 262–264 (1999). [CrossRef]
  17. A. García-Martin, J. A. Torres, J. J. Sáenz, M. Nieto-Vesperinas, “Transition from diffusive to localized regimes in surface corrugated optical waveguides,” Appl. Phys. Lett. 71, 1912–1914 (1997). [CrossRef]
  18. A. García-Martin, J. J. Sáenz, M. Nieto-Vesperinas, “Spatial field distributions in the transition from ballistic to diffusive transport in randomly corrugated waveguides,” Phys. Rev. Lett. 84, 3578–3581 (2000). [CrossRef] [PubMed]
  19. J. A. Sánchez-Gil, V. Freilikher, I. V. Yurkevich, A. A. Maradudin, “Coexistence of ballistic transport, diffusion, and localization in surface disordered waveguides,” Phys. Rev. Lett. 80, 948–951 (1998). [CrossRef]
  20. J. A. Sánchez-Gil, V. Freilikher, A. A. Maradudin, I. V. Yurkevich, “Reflection and transmission of waves in surface-disordered waveguides,” Phys. Rev. B 59, 5915–5925 (1999). [CrossRef]
  21. D. W. Lynch, W. R. Hunter, “Optical properties of metals,” in Handbook of Optical Constants of Solids II, E. D. Palik, ed. (Academic, San Diego, Calif., 1998), pp. 341–419. [CrossRef]
  22. F. Scheffold, R. Lenke, R. Tweer, G. Maret, “Localization or classical diffusion of light?” Nature (London) 398, 206–207 (1999). [CrossRef]
  23. E. I. Chaikina, N. Puente, T. A. Leskova, E. R. Méndez, “Redistribution of modes in a surface disordered waveguide,” in Surface Scattering and Diffraction for Advanced Metrology, Z. H. Gu and A. A. Maradudin, eds., Proc. SPIE4447, 122–129 (2002).
  24. E. I. Chaikina, S. Stepanov, T. A. Leskova, E. R. Méndez, A. G. Navarrete, “Intermode power transfer in a multimode optical fiber with a rough surface,” in Surface Scattering and Diffraction III, Z. H. Gu and A. A. Maradudin, eds., Proc. SPIE5189, 50–58 (2003).
  25. E. I. Chaikina, A. G. Navarette, S. Stepanov, E. R. Méndez, T. A. Leskova, “Light diffusion in a multimode optical fiber with rough surface,” in Proceedings of PIERS, Pisa, March 18–31, 2004), pp. 727–730. http://emacademy.org/piers2k6Cambridge/index.html.
  26. E. I. Chaikina, S. Stepanov, G. Navarrete, T. A. Leskova, E. R. Méndez, “Formation of angular power profile via ballistic light transport in a multimode optical fiber with a corrugated surface,” Phys. Rev. B 71, 085419 (1–9) (2005). [CrossRef]
  27. V. Ruiz-Cortés, E. R. Méndez, Z. H. Gu, A. A. Maradudin, “Light scattering from gold-coated ground glass and chemically etched surfaces,” in Wave Propagation and Scattering in Varied Media II, V. K. Varadan, ed., Proc. SPIE1558, 222–232 (1991).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited