The Numerical Solution of Uniform, Loss-Free Waveguides With Boundaries of Arbitrary Shape

Davies, J.B.; Muilwyk, C.A.

doi:10.1016/b978-0-08-011921-2.50037-8

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“…For e = e 0 , the higher modes may be found as solutions of an eigenvalue problem in E z or H z . This corresponds to finding the vibrational frequencies of a membrane and may be solved, taking advantage of a variational formulation, by finite-difference methods, as in Davies and Muilwyk,4 or by direct analysis for simple geometry. The last possibility arises even for e ^ e 0 , but only for essentially 1-dimensional problems (or axial symmetry).…”

Section: Introductionmentioning

confidence: 99%

Numerical determination of microstrip properties using the transverse field components

Gelder¹

1970

Proc. Inst. Electr. Eng. UK

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A finite-difference method, using the transverse field components as variables, is developed for calculating the properties of waveguides containing nonuniform dielectrics. It is shown how an essential consistency condition in the discretisation may be satisfied. Results are given for the dispersion of the quasi-TEM waves and the cutoff frequencies of higher waves in some typical problems. Other methods of calculation are discussed, and, in particular, it is shown that the use of the axial field components as variables complicates the problem. List of symbolsh = thickness of dielectric layer w -width of strip t = thickness of strip e, e 0 = permittivites [x = permeability C, C o = capacitances per unit length x, y = Cartesian co-ordinates in the waveguide crosssection s, n = Cartesian co-ordinates rotated from the (fixed) set x, y z = axial co-ordinate E x etc. = component of electric field H x etc. = component of magnetic field co = angular frequency y = 27r/wavelength / = y-i t = time = static potential v = vector of field components v t k -number of strips p = number of nodes used on mesh b -number of points lying on conducting boundaries m = number of mesh areas c 0 = velocity of light x h y t = components of E x , E y (used in Fig. 2a in preference tO Vj)

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Section: Introductionmentioning

confidence: 99%

Numerical determination of microstrip properties using the transverse field components

Gelder¹

1970

Proc. Inst. Electr. Eng. UK

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show abstract

The Numerical Solution of Uniform, Loss-Free Waveguides With Boundaries of Arbitrary Shape

Cited by 1 publication

References 0 publications

Numerical determination of microstrip properties using the transverse field components

Numerical determination of microstrip properties using the transverse field components

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