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A Proposal of Simplified Eigenvalue Equation for an Analysis of Dielectric Slab Waveguide

  • Choi Young-Kyu (Division of Electronics, Faculty of Engineering, Silla University)
  • 발행 : 2006.09.01

초록

In dielectric waveguide analysis and synthesis, we often encounter an awkward task of solving the eigenvalue equation to find the value of propagation constant. Since the dispersion equation is an irrational equation, we cannot solve it directly. Taking advantage of approximated calculation, we attempt here to solve this irrational dispersion equation. A new type of eigenvalue equation, in which guide index is expressed as a function of frequency, has been developed. In practical optical waveguide designing and in calculating the propagation mode, this equation will be used more conveniently than the previous one. To expedite the design of the waveguide, we then solve the eigenvalue equation of a slab waveguide, which is sufficiently accurate for practical purpose.

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참고문헌

  1. J. E. Goell, 'A circular-harmonic computer analysis of rectangular dielectric waveguides,' Bell Syst. Tech. J. vol. 48, pp. 2133, 1969 https://doi.org/10.1002/j.1538-7305.1969.tb01168.x
  2. E. A. J. Marcatili, 'Dielectric rectangular waveguide and directional coupler for integrated optics,' Bell. Syst, Tech. J. vol. 48, pp. 2071, 1969 https://doi.org/10.1002/j.1538-7305.1969.tb01166.x
  3. G. B. Hocker and W. K. Bruns, 'Mode dispersion in diffused channel waveguides by the effective index method,' Appl. Optics, vol. 16, pp. 113, 1977 https://doi.org/10.1364/AO.16.000113
  4. H. Kogelnik and V. Ramaswamy, 'Scaling rules for thin-film optical waveguides,' Appl. Optics, vol. 13, No. 8, pp. 1857, 1974 https://doi.org/10.1364/AO.13.001857
  5. H. Nishihara, M. Haruna and T. Suhara, Optical Integrate Circuits, Ohmsha, Tokyo, pp. 9-49, 1998
  6. D. Marcuse, Theory of Dielectric Waveguides, Academic Press, NY, pp. 49, 1974
  7. T. Tamir, ed., Guided-Wave Optoelectronics, Springer-verlag, New York, 2nd ed. 1990
  8. D. L. Lee, Electromagnetic Principles of Integrated Optics, Wiley, New York, 1986