Properties of dielectric-tube waveguides

Kharadly, M.M.Z.; Lewis, John E.

doi:10.1049/piee.1969.0045

Cited by 50 publications

(36 citation statements)

References 4 publications

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“…These characteristics are very similar to those of circular dielectric tube and rod waveguides. 4 The phase characteristics of HE U modes on the dielectric tube display some useful properties when examined as a function of cross-sectional area of the dielectric which is given by…”

Section: Propagation Characteristicsmentioning

confidence: 99%

Modes on elliptical cross-section dielectric-tube waveguides

Lewis

Deshpande

1979

IEE J. Microw. Opt. Acoust. UK

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The problem of electromagnetic-wave propagation along a dielectric-tube waveguide of elliptical cross-section is considered. The characteristic equations for odd and even hybrid modes are derived in the form of two infinite determinants, which degenerate to the well-known characteristic equation for hybrid modes on circular tubes as the eccentricity tends to zero. The characteristic roots are computed for various eccentricities and tube thicknesses. It is found that there exist two dominant modes which possess zero cutoff frequencies. The modes on the elliptical tube waveguide are designated by observing computer plots of the radial variation of the field components. The phase velocity is shown to be dependent more upon dielectric area than eccentricity. Thin-walled tubes exhibit less dispersion while thick-walled guides behave as solid dielectric rods. Experimental results on zero-eccentricity tubes agree well with theory. List of symbols I,Q2),D m \ = rath arbitrary constants for even hybrid modes _ functions of modified Mathieu functions = rath arbitrary constants for odd hybrid modes ce m (v, qd se m 0?, Qi) , qi ) , q t ) even and odd Mathieu functions = of the first kind in region i, respectively even and odd modified Mathieu = functions of first kind in region i, respectively e = eccentricity E zi ,E^,E ni = longitudinal, radial and azimuthal components of electric field, respectively, in region i f = frequency modified Mathieu functions of the second kind h = semi-focal distance hi ^= wavenumber of medium* HziiHyiH^i -longitudinal, radial and azimuthal components of magnetic field, respectively, in region i I n (x),K n (x)= modified Bessel functions of the first and second kind, respectively J n (x), Y n (x) = Bessel functions of the first and second kind, respectively k 0 = phase coefficient of free space ki = phase coefficient of a plane wave in region i L = multiplying factor for elliptical coordinate system m, n = mode subscripts q t = parameter of the Mathieu function in region i t = time z = axial co-ordinate a = attenuation coefficient 0 = phase coefficient e 0 = permittivity of free space e,-= permittivity of region i e ri = relative permittivity of region / r? = azimuthal co-ordinate X = free-space wavelength \ g = guide wavelength Mo -permeability of free space //,• = permeability of region i H ri = relative permeability of region i £ = radial co-ordinate %\,%i ~ radial co-ordinates coinciding with the inner and outer boundaries of the elliptical tube, respectively to = angular frequency

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Section: Propagation Characteristicsmentioning

confidence: 99%

Modes on elliptical cross-section dielectric-tube waveguides

Lewis

Deshpande

1979

IEE J. Microw. Opt. Acoust. UK

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“…shows the cut-off frequencies of the dielectric modes with the slowest azimuthal dependence. F is the normalized frequency[20]: mode, the cut-off frequency depends on the parameter 1 ext t r ρ = − and on the dielectric refractive index n d of the tube. The modes with the lowest azimuthal dependence and thus the strongest coupling with CMs are the HE ν,1 .Figure 2shows that their cut-off frequencies (green empty circles) are very close to the values F = ν-1 = m, with m integer, that results in the condition…”

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Empirical formulas for calculating loss in hollow core tube lattice fibers

Vincetti

2016

Opt. Express

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In this paper scaling laws governing loss in hollow core tube lattice fibers are numerically investigated and discussed. Moreover, by starting from the analysis of the obtained numerical results, empirical formulas for the estimation of the minimum values of confinement loss, absorption loss, and surface scattering loss inside the transmission band are obtained. The proposed formulas show a good accuracy for fibers designed for applications ranging from THz to ultra violet band.

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“…Clarricoats [1961] also proposed a mode designation, based on the sequence of solutions of the characteristic equation, which works well for a dielectric rod, but has limited success in the case of a cladded fiber. Kharadly and Lewis [1969] proposed another method and used it to classify the hybrid modes in a dielectric tube. It is based upon the radial variation of the field components as well as the sequence of solutions.…”

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confidence: 85%

Classification of hybrid modes in cylindrical dielectric optical waveguides

Safaai‐Jazi¹,

Yip²

1977

Radio Science

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The classification of hybrid modes in cylindrical dielectric waveguides consisting of two or three layers is studied. A new mode designation based upon the separation of the characteristic equation is introduced. That is, separate characteristic equations for HEnm and EHnm modes are derived. This new scheme covers dielectric rods, dielectric tubes, cladded optical fibers and any three‐layer structure in general. It is analytically shown that no crossover exists between HE and EH modes with the same order of azimuthal variation (n).

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Properties of dielectric-tube waveguides

Cited by 50 publications

References 4 publications

Modes on elliptical cross-section dielectric-tube waveguides

Modes on elliptical cross-section dielectric-tube waveguides

Empirical formulas for calculating loss in hollow core tube lattice fibers

Classification of hybrid modes in cylindrical dielectric optical waveguides

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