Abstract

A Green’s-function method is employed to provide a rigorous analysis to the propagation and coupling phenomena in holey fibers. The analysis is carried out for an arbitrary grid of circular air holes of the fiber guide, while the electromagnetic field is taken to be a vector quantity. Application of the Green’s-function concept leads to a coupled system of equations incorporating as unknowns the field expansion coefficients to cylindrical wave functions within the air holes. The propagation constants of the guided waves are computed accurately by determining the singular points of the corresponding system’s matrix. Field distribution and dispersion properties of guided modes as well as coupling phenomena between parallel-running holey fibers are investigated, and numerical results are presented.

© 2004 Optical Society of America

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2003

2002

2001

2000

1999

1997

1996

Y. Kugawa, Y. Sun, Z. Mahmood, “Regular boundary integral formulation for the analysis of open dielectric/optical waveguides,” IEEE Trans. Microwave Theory Tech. 44, 1441–1450 (1996).
[CrossRef]

1986

C. N. Capsalis, N. K. Uzunoglu, “Coupled wave propagation in closely spaced dielectric rod waveguides,” Int. J. Infrared Millim. Waves 7, 813–831 (1986).
[CrossRef]

1981

1980

A. D. Yaghjian, “Electric dyadic Green’s function in the source region,” Proc. IEEE 68, 248–263 (1980).
[CrossRef]

Abramowitz, M.

M. Abramowitz, I. E. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).

Andres, M. V.

Andres, P.

Bennett, P. J.

Birks, T. A.

Botten, L. C.

Capsalis, C. N.

C. N. Capsalis, N. K. Uzunoglu, “Coupled wave propagation in closely spaced dielectric rod waveguides,” Int. J. Infrared Millim. Waves 7, 813–831 (1986).
[CrossRef]

Ferrando, A.

Guan, N.

Habu, S.

Himeno, K.

Jones, D. S.

D. S. Jones, Theory of Electromagnetism (Pergamon, Oxford, UK, 1964).

Knight, J. C.

Kugawa, Y.

Y. Kugawa, Y. Sun, Z. Mahmood, “Regular boundary integral formulation for the analysis of open dielectric/optical waveguides,” IEEE Trans. Microwave Theory Tech. 44, 1441–1450 (1996).
[CrossRef]

Kuhlmey, B. T.

Lu, Tao.

Mahmood, Z.

Y. Kugawa, Y. Sun, Z. Mahmood, “Regular boundary integral formulation for the analysis of open dielectric/optical waveguides,” IEEE Trans. Microwave Theory Tech. 44, 1441–1450 (1996).
[CrossRef]

Martijn de Sterke, C.

Maystre, D.

McPhedran, R. C.

Midrio, M.

Miret, J. J.

Monro, T. M.

Renversez, G.

Richardson, D. J.

Silvestre, E.

Singh, M. P.

Someda, C. G.

St. Russell, P.

Steel, M. J.

Stegun, I. E.

M. Abramowitz, I. E. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).

Sterke, C. M.

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

Sun, Y.

Y. Kugawa, Y. Sun, Z. Mahmood, “Regular boundary integral formulation for the analysis of open dielectric/optical waveguides,” IEEE Trans. Microwave Theory Tech. 44, 1441–1450 (1996).
[CrossRef]

Takenaga, K.

Uzunoglu, N. K.

C. N. Capsalis, N. K. Uzunoglu, “Coupled wave propagation in closely spaced dielectric rod waveguides,” Int. J. Infrared Millim. Waves 7, 813–831 (1986).
[CrossRef]

N. K. Uzunoglu, “Scattering from inhomogeneities inside a fiber waveguide,” J. Opt. Soc. Am. 71, 259–273 (1981).
[CrossRef]

Wada, A.

White, T. P.

Yaghjian, A. D.

A. D. Yaghjian, “Electric dyadic Green’s function in the source region,” Proc. IEEE 68, 248–263 (1980).
[CrossRef]

Yevick, D.

IEEE Trans. Microwave Theory Tech.

Y. Kugawa, Y. Sun, Z. Mahmood, “Regular boundary integral formulation for the analysis of open dielectric/optical waveguides,” IEEE Trans. Microwave Theory Tech. 44, 1441–1450 (1996).
[CrossRef]

Int. J. Infrared Millim. Waves

C. N. Capsalis, N. K. Uzunoglu, “Coupled wave propagation in closely spaced dielectric rod waveguides,” Int. J. Infrared Millim. Waves 7, 813–831 (1986).
[CrossRef]

J. Lightwave Technol.

J. Opt. Soc. Am.

J. Opt. Soc. Am. B

Opt. Lett.

Proc. IEEE

A. D. Yaghjian, “Electric dyadic Green’s function in the source region,” Proc. IEEE 68, 248–263 (1980).
[CrossRef]

Other

M. Abramowitz, I. E. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

D. S. Jones, Theory of Electromagnetism (Pergamon, Oxford, UK, 1964).

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