Kotelnikov Institute of Radio Engineering and Electronics of RAS Русский Sign in Submit a paper
Journal of Radio Electronics Online scientific journal · eISSN 1684-1719
2010, № 7 · RADIO ELECTRONICS RELATED PROBLEMS

Waveguide light scattering method as a best way for research of the statistic irregularities of integrated-optical waveguides

A.A. Egorov1

1 Институт общей физики им. А.М. Прохорова Российской Академии Наук
Full text (PDF) EDN NCFRTX

Abstract

The phenomenon of the waveguide light scattering in the irregular planar integrated-optical waveguide is investigated. The solution of the direct scattering problem is fined with the help of the theory of perturbations. The inverse waveguide scattering problem consists in restoring of spectral density function and/or autocorrelation function of waveguide's irregularities and determination of irregularities' parameters by the measuring data of radiating field in the far zone. The computer simulation and experimental results allow approving, that our method permits to receive an approximate correct solution of the inverse scattering problem with the rms error of restoring of the given autocorrelation functions no more than 35% in the presence of high real noise (for SNR ≥ 1). The statistic parameters of irregularities in this case are determined with the error less than 15-30 %.

  • integrated optics
  • waveguide
  • irregularities
  • waveguide scattering phenomenon
  • autocorrelation function
  • noise
  • computer modeling
  • incorrect scattering problem
Аннотация (на русском)

Метод волноводного рассеяния света - лучший путь для исследования статистических нерегулярностей интегрально-оптических волноводов

Исследовано явление волноводного рассеяния света в нерегулярном планарном интегрально-оптическом волноводе. Решение прямой задачи рассеяния получено с помощью теории возмущений. Обратная задача волноводного рассеяния заключается в восстановлении функции спектральной плотности и/или автокорреляционной функции волноводных нерегулярностей и определении параметров нерегулярностей по измеренным данным поля излучения в дальней зоне. Данные компьютерного моделирования и экспериментальные результаты позволяют утверждать, что наш метод позволяет получить приближенное корректное решение обратной задачи рассеяния со среднеквадратичной ошибкой восстановления данной автокорреляционной функции не более 35% при наличии случайного шума высокого уровня (при отношении сигнал/шум SNR ≥ 1). Статистические параметры нерегулярностей в данном случае определены с ошибкой менее чем 15-30%.

For citation

Egorov A.A. Waveguide light scattering method as a best way for research of the statistic irregularities of integrated-optical waveguides // Journal of Radio Electronics. – 2010. – No. 7.

References

  1. Shevchenko V.V. Continuous Transitions in Open Waveguides. Colo.: Golem, Boulder, 1971.
  2. Marcuse D. Light Transmission Optics. New York: Van Nostrand, 1972.
  3. Walter D.J., Houghton J Attenuation in thin film optical waveguides due to roughness-induced mode coupling // Thin Solid Film. 1978. V. 52. P. 461-476.
  4. Bradley E., Hall D.G Out-of-plane scattering from glass waveguides: comparison of theory and experiment // Optics Letters. 1982. V. 7. No. 5. P. 235-237.
  5. Gottlieb M., Brandt G.B., Conroy J.J. Out-of-plane scattering in optical waveguides // IEEE Trans. On Circuit and Systems. 1979. V. 26. No. 12. P. 1029-1035.
  6. Hall D.G. Scattering of optical guide waves by waveguide surface roughness: a three-dimensional treatment // Optics Letters. 1981. V. 6. No. 12. P. 601-603.
  7. Imai M., Koseki M., Ohtsuka Y. Scattering pattern measurement and analysis of sputtered-glass optical waveguides for integrated optics // IEEE Trans. on MTT. 1982. V. 30. P. 635-641.
  8. Andler G., Egorov A.A., Cheremiskin I.V. Determination of parameters of a roughness of an optical surface by the scattering in a dielectric waveguide // Optics and Spectroscopy. 1984. V. 56. No. 4. pp. 731-735.
  9. Siro F. Vasquez S. de F., Egorov A.A., Cheremiskin I.V. To a problem on determination of statistical characteristics of irregularities of thin-film waveguides // Optoelectronics, Instrumentation and Data Processing. 1991. No. 2. pp. 51-55.
  10. Egorov A.A. Characteristics of a radiation, scattered on roughness of a surface substrate of a planar waveguide // Surface. Physics, chemistry, mechanics. 1994. No. 5. pp. 72-76.
  11. Egorov A.A. Theory of waveguide optical microscopy // Laser Physics. 1998. V. 8. No. 2. pp. 536-540.
  12. Yegorov A.A. Recovery of the characteristics and determination of the parameters of statistical nanometer surface roughness using the data on scattering in a planar optical waveguide // Radiophysics and Quantum Electronics. 2000. V. 43. No. 12. pp. 980-988.
  13. Egorov A.A. Using waveguide scattering of laser radiation for determining the autocorrelation function of statistical surface roughness within a wide range of changes of the roughness correlation interval // Quantum Electronics. 2002. V. 32. No. 4. pp. 357-361.
  14. Yegorov A.A. A new algorithm of restoring the autocorrelation function of subwavelength statistic surface roughness by light scattering in integrated optical waveguide in the presence of a high additive stochastic noise // Proc. SPIE. 2002. V. 4900. pp. 792-801.
  15. Tikhonov A.N., Arsinin V.Y. Solution of ill-posed problem. Washington: Winston/Willey, 1977.
  16. Akhmanov S.A., Diakov Yu.E., Chirkin A.S. Introduction to Statistic Radiophysics and Optics. Moscow: Nauka, 1981.
  17. Yegorov A.A. Inverse light scattering problem in a planar waveguide with statistical subwavelength irregularities: theory and computer simulation // J. Comput. Methods in Sciences and Engineering. 2002. V. 2. pp. 277-285.
  18. Yegorov A.A. Inverse laser irradiation scattering problem in a planar waveguide with statistical irregularities. Computer modeling for a case of large additive "white" noise // Laser Physics. 2003. V. 13. No. 9. pp. 1143-1148.
  19. Egorov A.A. Reconstruction of the characteristics and determination of the parameters of a statistical surface roughness from light scattering data in an integrated waveguide in the presence of noise // Optics and Spectroscopy. 2003. V. 95. No. 2. pp. 294-304.
  20. Egorov A.A. Reconstruction of the experimental autocorrelation function and determination of the parameters of the statistical roughness of a surface from laser radiation scattering in an integrated-optical waveguide // Quantum Electronics. 2003. V. 33. No. 4. pp. 335-341.
  21. Egorov A.A. Theory of laser radiation scattering in integrated optical waveguide with 3D-irregularities in presence of noise: vector consideration // Laser Physics Letters. 2004. V. 1. No. 12. pp. 579-585.
  22. Egorov A.A. Inverse problem of laser light scattering in an integrated optical waveguide: 2D solution with accurate input data // Laser Physics. 2004. V. 14. No. 10. pp. 1296-1309.
  23. Egorov A.A. Theory of waveguide light scattering in an integrated optical waveguide in the presence of noise // Radiophysics and Quantum Electronics. 2005. V. 48. No. 1. pp. 57-67.
  24. Egorov A.A. Use of waveguide light scattering for precision measurements of the statistic parameters of irregularities of integrated optical waveguide materials // Opt. Engineering. 2005. V. 44. No. 1. pp. 014601-1-014601-10.
  25. Egorov A.A. Inverse problem of theory of the laser irradiation scattering in two-dimensional irregular integrated optical waveguide in the presence of statistic noise // Laser Physics Letters. 2005. V. 2. No. 2. pp. 77-83.
  26. Egorov A.A. 3D Waveguide light scattering. Rigorous and approximate analysis // ICO Topical Meeting on Optoinformatics/Information Photonics 2006. September 4-7 2006. St. Petersburg. Russia. St. Petersburg: ITMO. pp. 371-372.
  27. Egorov <mailto:aaegorovprof@gmail.com> A.A. Super resolution in the waveguide inverse light scattering problem // Journal of Radio Electronics. 2007. No. 6. pp. 1-9.
  28. Egorov A.A. Inverse problem of scattering of monochromatic light in a statistically irregular waveguide: theory and numerical simulation // Optics and Spectroscopy. 2007. V. 103. No. 4. pp. 621-628.
  29. Egorov <mailto:aaegorovprof@gmail.com> A.A. Theoretical research of correctness of an inverse problem of scattering of laser radiation in a statistically irregular integrated-optical waveguide in the absence of noise // Journal of Radio Electronics. 2009. No. 4. pp. 1-19.
  30. Egorov A.A., Sevastianov L.A., Sevastyanov A.L., Stavtsev A.V. Propagation of the monochromatic electromagnetic waves in irregular waveguides. A brief introduction to an analysis in the case of smooth or statistic irregularities // Bulletin of PFUR. Series Mathematics. Computer science. Physics. 2010. No. 1. pp. 67-76.