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Georges, Marc P; Verrier, Nicolas; Georgakoudi, Irene (Ed.)
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Shani, Nitzan; Shakya, Amit K; Cheng, Fan; Shuvayev, Vladimir; Deych, Lev; Carmon, Tal (, SPIE)Andrews, David L; Bain, Angus J; Ambrosio, Antonio (Ed.)
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Shani, Nitzan; Cheng, Fan; Deych, Lev; Carmon, Tal (, Optica Publishing Group)Modes of a dielectric cylindrical waveguide are characterized by three numbers: azimuthal numberm, radial number,s, and a continuous propagation constantβ.1The azimuthal number determines the field dependence of the azimuthal angleφof the cylindrical coordinate system with the polar axis along the axis of the cylinder in the form of exp (imφ). The radial number characterizes the behavior of the field in the radial direction and in an ideal cylinder is given by a cylindrical Bessel functionJm(κm,sr). Discrete values of the parameterκscharacterizing the radial dependence of the field is determined by Maxwell boundary conditions. The propagation constantβdescribes the propagation of the mode along the axis of the fiber (Z-axis of the cylindrical coordinate system).more » « less
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