Abstract

This paper presents an efficient approach for the analysis of graded-index profile waveguides. The variation of the index of refraction is modeled considering a sufficient number of concentric dielectric layers, each with a different index of refraction. The propagation constant in the layered structure is calculated by setting up a full-wave equivalent circuit, which allows the derivation of the system equation for the whole structure. Two examples are given, including validation with the commercial software Ansoft HFSS.

© 2007 IEEE

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  1. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).
  2. Z. Liang, Z. Cao, Q. Shen, X. Deng, "Exact eigenvalue equations for weakly guiding optical fibers with arbitrary graded-index profile ," J. Lightw. Technol. 23, 849-854 (2005).
  3. H. C. Chui, A. K. Chan, "Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile," J. Lightw. Technol. 7, 1419-1424 (1989).
  4. W. Freude, Y. Hiu-Hai, H. Zhi-Jian, "Propagation constant and waveguide dispersion of single-mode fibers measured from the far-field ," J. Lightw. Technol. 6, 318-321 (1988).
  5. R. L. Lachance, P.-A. Bélanger, "Modes in divergent parabolic graded-index optical fibers," J. Lightw. Technol. 9, 1425-1430 (1991).
  6. S.-C. Chao, W.-H. Tsai, M.-S. Wu, "Extended Gaussian approximation for single-mode graded-index fibers," J. Lightw. Technol. 12, 392-395 (1994).
  7. Q. Cao, S. Chi, "Approximate analytical description for fundamental-mode fields of graded-index fibers: Beyond the Gaussian approximation," J. Lightw. Technol. 18, 54-59 (2001).
  8. M. R. Shenoy, K. Thyagarajan, A. K. Ghatak, "Numerical analysis of optical fibers using matrix approach," J. Lightw. Technol. 6, 1285-1291 (1988).
  9. K. van de Velde, H. Thienpont, R. van Geen, "Extending the effective index method for arbitrarily shaped inhomogeneous optical waveguides ," J. Lightw. Technol. 6, 1153-1159 (1988).
  10. A. Ogura, K. Shiraishi, "A field-profile transformer utilizing a graded-index oval-core (GIO) fiber," J. Lightw. Technol. 19, 49-53 (2001).
  11. M. V. T. Heckler, A. Dreher, "Analysis of cylindrical microstrip lines using the discrete mode matching method," IEEE Microw. Wireless Compon. Lett. 16, 392-394 (2006).
  12. M. Thiel, Die Analyse von zylinderkonformen und quasi-zylinderkonformen Antennen in Streifenleitungstechnik Ph.D. dissertation Tech. Univ. MunichMunichGermany (2002) (Oberpfaffenhofen: Forschungsbericht DLR-FB 2002-25).

2006 (1)

M. V. T. Heckler, A. Dreher, "Analysis of cylindrical microstrip lines using the discrete mode matching method," IEEE Microw. Wireless Compon. Lett. 16, 392-394 (2006).

2005 (1)

Z. Liang, Z. Cao, Q. Shen, X. Deng, "Exact eigenvalue equations for weakly guiding optical fibers with arbitrary graded-index profile ," J. Lightw. Technol. 23, 849-854 (2005).

2001 (2)

A. Ogura, K. Shiraishi, "A field-profile transformer utilizing a graded-index oval-core (GIO) fiber," J. Lightw. Technol. 19, 49-53 (2001).

Q. Cao, S. Chi, "Approximate analytical description for fundamental-mode fields of graded-index fibers: Beyond the Gaussian approximation," J. Lightw. Technol. 18, 54-59 (2001).

1994 (1)

S.-C. Chao, W.-H. Tsai, M.-S. Wu, "Extended Gaussian approximation for single-mode graded-index fibers," J. Lightw. Technol. 12, 392-395 (1994).

1991 (1)

R. L. Lachance, P.-A. Bélanger, "Modes in divergent parabolic graded-index optical fibers," J. Lightw. Technol. 9, 1425-1430 (1991).

1989 (1)

H. C. Chui, A. K. Chan, "Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile," J. Lightw. Technol. 7, 1419-1424 (1989).

1988 (3)

W. Freude, Y. Hiu-Hai, H. Zhi-Jian, "Propagation constant and waveguide dispersion of single-mode fibers measured from the far-field ," J. Lightw. Technol. 6, 318-321 (1988).

M. R. Shenoy, K. Thyagarajan, A. K. Ghatak, "Numerical analysis of optical fibers using matrix approach," J. Lightw. Technol. 6, 1285-1291 (1988).

K. van de Velde, H. Thienpont, R. van Geen, "Extending the effective index method for arbitrarily shaped inhomogeneous optical waveguides ," J. Lightw. Technol. 6, 1153-1159 (1988).

IEEE Microw. Wireless Compon. Lett. (1)

M. V. T. Heckler, A. Dreher, "Analysis of cylindrical microstrip lines using the discrete mode matching method," IEEE Microw. Wireless Compon. Lett. 16, 392-394 (2006).

J. Lightw. Technol. (9)

Z. Liang, Z. Cao, Q. Shen, X. Deng, "Exact eigenvalue equations for weakly guiding optical fibers with arbitrary graded-index profile ," J. Lightw. Technol. 23, 849-854 (2005).

H. C. Chui, A. K. Chan, "Lateral mode analysis in semiconductor lasers using a cubic spline approximation of the refractive index profile," J. Lightw. Technol. 7, 1419-1424 (1989).

W. Freude, Y. Hiu-Hai, H. Zhi-Jian, "Propagation constant and waveguide dispersion of single-mode fibers measured from the far-field ," J. Lightw. Technol. 6, 318-321 (1988).

R. L. Lachance, P.-A. Bélanger, "Modes in divergent parabolic graded-index optical fibers," J. Lightw. Technol. 9, 1425-1430 (1991).

S.-C. Chao, W.-H. Tsai, M.-S. Wu, "Extended Gaussian approximation for single-mode graded-index fibers," J. Lightw. Technol. 12, 392-395 (1994).

Q. Cao, S. Chi, "Approximate analytical description for fundamental-mode fields of graded-index fibers: Beyond the Gaussian approximation," J. Lightw. Technol. 18, 54-59 (2001).

M. R. Shenoy, K. Thyagarajan, A. K. Ghatak, "Numerical analysis of optical fibers using matrix approach," J. Lightw. Technol. 6, 1285-1291 (1988).

K. van de Velde, H. Thienpont, R. van Geen, "Extending the effective index method for arbitrarily shaped inhomogeneous optical waveguides ," J. Lightw. Technol. 6, 1153-1159 (1988).

A. Ogura, K. Shiraishi, "A field-profile transformer utilizing a graded-index oval-core (GIO) fiber," J. Lightw. Technol. 19, 49-53 (2001).

Other (2)

M. Thiel, Die Analyse von zylinderkonformen und quasi-zylinderkonformen Antennen in Streifenleitungstechnik Ph.D. dissertation Tech. Univ. MunichMunichGermany (2002) (Oberpfaffenhofen: Forschungsbericht DLR-FB 2002-25).

A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).

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