Abstract

This paper gives the theoretical basis for the development of real vector modal methods to describe optical-fiber modes. To this end, the vector wave equations, which determine the electromagnetic fields, are written in terms of a pair of linear, nonself-adjoint operators, whose eigenvectors satisfy biorthogonality relations. The key of our method is to obtain a matrix representation of the vector wave equations in a basis that is defined by the modes of an auxiliary system. Our proposed technique can be applied to fibers with any profile, even those with a complex refractive index. An example is discussed to illustrate our approach.

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J. Lightwave Technol. (2)

W.-Y. Lee and S.-Y. Wang, "Guided-wave characteristics of optical graded-index planar waveguides with metal cladding: A simple analysis method," J. Lightwave Technol., vol. 13, pp. 416-421, Mar. 1995.

H. Renner, "Optical fiber couplers: Scalar supermodes and polarization corrections," J. Lightwave Technol., vol. 10, pp. 728-734, June 1992.

Opt. Lett. (1)

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