Orthogonality Conditions for Leaky Modes

Manenkov, A. B.

doi:10.1007/s11141-005-0076-8

Cited by 8 publications

(7 citation statements)

References 15 publications

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“…Correspondingly we have . The supercell approximation becomes inaccurate for leaky modes, which fields exponentially increase with distance from the waveguide axis (Manenkov, 2005). Numerical modelling of leaky mode becomes possible only with adequate boundary conditions (Eliseev et al, 2005).…”

Section: Confinement Loss For Fundamental Defect Modementioning

confidence: 99%

Effect of submicron deformations on the transmission of all-solid photonic bandgap fibre

et al. 2016

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A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription.For more information, please contact eprints@nottingham.ac.uk  Abstract Waveguide losses in all-solid photonic bandgap fibre are studied numerically using both vectorial mode solver and vectorial beam propagation methods. Confinement loss, including material losses, is comprehensively evaluated for defect modes of hexagonal lattice photonic bandgap fibre. The excitation of the index-guiding modes at the bandgap edges leads to a narrowing of the transmission bands. Submicron deformations of the transverse structure of the fibre lead to a significant reduction in the width of the transmission bands, yet the minimum value of the losses within these bandgaps remains practically unchanged. Longitudinal variation of the fibre profile increases the effective losses by up to tens of dB/m.

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Section: Confinement Loss For Fundamental Defect Modementioning

confidence: 99%

Effect of submicron deformations on the transmission of all-solid photonic bandgap fibre

et al. 2016

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“…m,s,α , and C m,s,α are coefficients to be determined, and H (1) m and H (2) m are Hankel functions of the first and second kinds, respectively, of order m. The functions q α (q) are determined by formula (39), and…”

Section: Discrete-and Continuous-spectrum Modesmentioning

confidence: 99%

“…Finally, we note that the above-derived orthogonality relations can be generalized to be valid for transversely unbounded modes, as well. To do this, one should use a method similar to that employed in [19,[37][38][39] for open waveguides located in a nongyrotropic medium. The generalized orthogonality relations turn out to be useful when analyzing leaky modes.…”

Section: Appendix B Derivation Of the Orthogonality Relations For Modesmentioning

confidence: 99%

Electromagnetic Radiation From Sources Embedded in a Cylindrically Stratified Unbounded Gyrotropic Medium

Kudrin¹,

Petrov²,

Kyriacou³

et al. 2009

PIER B

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Abstract-A study is made of the excitation of electromagnetic waves by spatially bounded, arbitrary sources in the presence of a cylindrical guiding structure immersed in an infinitely extended, homogeneous gyrotropic medium whose permittivity and permeability are both describable by tensors with nonzero off-diagonal elements. The axis of symmetry of the considered cylindrical structure is assumed to coincide with the gyrotropic axis. The total field is sought in terms of vector modal solutions of the source-free Maxwell equations. We determine the content of the modal spectrum and obtain an eigenfunction expansion of the source-excited field in terms of discreteand continuous-spectrum modes. The expansion coefficients of the modes are derived in explicit form. An expression for the total power radiated from sources is deduced and analyzed. It is shown that the developed approach makes it possible to readily represent the sourceexcited field without preliminary calculation of the dyadic Green's functions, which significantly facilitates the field evaluation.

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“…When nonlinear effects are small, we can define the types of nonlinear waveguide modes, using the same principles as for the linear structures (Adams 1981;Marcuse 1974). Later we shall designate the modes as TE sn , where the first subscript (the letter) s labels the mode type (for example, guided, leaky, etc.)…”

Section: Formulationmentioning

confidence: 99%

“…Equation 7 follows from the generalized radiation conditions (Manenkov 1981(Manenkov , 2005. The signs of the real and imaginary parts of the transverse wavenumbers depend on the mode types.…”

Section: Formulationmentioning

confidence: 99%