Wave theory and applications, by D. R. Bland. Pp 317. £15 (paperback), £40 (hardback). 1988. ISBN 0-19-859669-3, -859654-5 (Oxford University Press)

Bland, J. A.

doi:10.2307/3619030

Cited by 14 publications

(21 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This was also shown by Doetsch 2 and by Bland. 3 Thus Eq. ͑4.2͒ admits, at most, only one form of dispersion.…”

Section: ͑43͒mentioning

confidence: 98%

“…Observe from Tables I and II that in every case the magnitude of the discontinuity is independent of k. Furthermore, in the case of rectangular pulse signal, we see that S ͓u͔ at and Ϫp gives the signal strength of the pulse at the leading and trailing edges, respectively, without having to solve for the time-domain solution of the problem. Finally note that, with the exception of F()ϭ␦(), all the boundary data considered resulted in strong discontinuities 3 in u. For the telegraph equation, which is of second order, strong discontinuities are jump discontinuities which occur in u, or u x and u .…”

Section: ͑55͒mentioning

confidence: 99%

“…Equation ͑1.1͒ is the governing equation for both current and voltage in such a line with no external driving. [1][2][3] Expressing the constants c, ␥, and b in Eq. ͑1.1͒ in terms of the electrical parameters L, R, C, and G we find…”

Section: A Coaxial Transmission Linementioning

confidence: 99%

“…where c is a positive constant and ␥ and b are nonnegative constants, was investigated by Heaviside in his research on coaxial marine telegraph cables 1 ͑see also Doetsch 2 and Bland 3 ͒. This equation describes phenomena in a vast array of fields.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Digital signal propagation in dispersive media

Jordan

Puri

1999

Journal of Applied Physics

117

View full text Add to dashboard Cite

In this article, the propagation of digital and analog signals through media which, in general, are both dissipative and dispersive is modeled using the one-dimensional telegraph equation. Input signals are represented using impulsive, Heaviside unit step, Gaussian, rectangular pulse, and both unmodulated and modulated sinusoidal pulse type boundary data. Applications to coaxial transmission lines and freshwater signal propagation, for both digital and analog signals, are included. The analysis presented here supports the finding that digital transmission in dispersive media is generally superior to that of analog. The boundary data ͑input signals͒ give rise to solutions of the telegraph equation which contain propagating discontinuities. It is shown that the magnitudes of these discontinuities, as a function of distance, can be found without the need of solving the governing equation. Thus, for digital signals in particular, signal strength at a given distance from the input source can be easily determined. Furthermore, the magnitudes of these discontinuities are found to be independent of both the dispersion coefficient k and the elastic coefficient b. In addition, it is shown that, depending on the algebraic sign of k, one of two distinct forms of dispersion is possible and that for small-time intervals, solutions are approximately independent of k.

show abstract

“…This was also shown by Doetsch 2 and by Bland. 3 Thus Eq. ͑4.2͒ admits, at most, only one form of dispersion.…”

Section: ͑43͒mentioning

confidence: 98%

Section: ͑55͒mentioning

confidence: 99%

Section: A Coaxial Transmission Linementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Digital signal propagation in dispersive media

Jordan

Puri

1999

Journal of Applied Physics

117

View full text Add to dashboard Cite

show abstract

“…The solution for v A L in Eq. (46) at low frequency can be obtained by the perturbation method (Bland, 1988;Mal and Singh, 1991) …”

Section: Lamb Wavesmentioning

confidence: 99%

Three-dimensional Green’s function for time-harmonic dynamics in a viscoelastic layer

Martínez-Castro

Gallego

2007

International Journal of Solids and Structures

View full text Add to dashboard Cite

This paper presents Green's function for time-harmonic elastodynamic problems for a single layer domain (three-dimensional region bounded by two parallel planes with traction-free boundary conditions). The semi-analytic solution is built in three steps: (a) potential displacement representation; (b) angular Fourier series; (c) radial Hankel transform. Reflection matrices are presented for the plate domain. Kernels are integrally split into a singular closed-form term (the static half-space solution) plus an incremental solution. In order to compute the inverse Hankel transform for displacements and stress components, a modified complex integration path is required. Theoretical considerations allow an adequate delimitation of such a complex path. A specific treatment is proposed for low excitation frequencies where asymmetric Lamb waves play a major role. A series of numerical benchmarks are presented to validate the implementation of the functions (displacements and tractions).

show abstract

On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases

Lambers

Jordan

2021

Numerical Methods Partial

View full text Add to dashboard Cite

Poroacoustic shocks in inhomogeneous gases are numerically simulated using Krylov subspace spectral (KSS) methods; specifically, existing KSS methods are modified to use basis functions tailored to the assumed density profile of the gas, and to handle the nonhomogeneous boundary condition used to insert the shock‐inducing signal. The simulations presented demonstrate that KSS methods are effective at capturing the features of the solution, consistent with theoretical expectations, even when using a time step that greatly exceeds the CFL limit.

show abstract

Wave theory and applications, by D. R. Bland. Pp 317. £15 (paperback), £40 (hardback). 1988. ISBN 0-19-859669-3, -859654-5 (Oxford University Press)

Cited by 14 publications

References 0 publications

Digital signal propagation in dispersive media

Digital signal propagation in dispersive media

Three-dimensional Green’s function for time-harmonic dynamics in a viscoelastic layer

On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases

Contact Info

Product

Resources

About