1957
DOI: 10.1049/pi-c.1957.0040
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Propagation of transients in waveguides

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Cited by 31 publications
(21 citation statements)
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“…The spatial refocusing process works only with broadband pulses, with a large number of eigenmodes in the bandwidth of the transmitted pulse. Here, the averaging process that gives a good estimate of the spatial correlation function is not obtained by summing over different realizations of the waveguide, but a sum over "pseudo-realizations" which correspond to the different modes in the same waveguide [158][159][160][161][162]. The signal-to-noise level should increase as the square-root of the number of modes in the width of the transmitted pulse.…”
Section: Research Methodology 31 the Fundamental Physical Mechanism mentioning
confidence: 99%
“…The spatial refocusing process works only with broadband pulses, with a large number of eigenmodes in the bandwidth of the transmitted pulse. Here, the averaging process that gives a good estimate of the spatial correlation function is not obtained by summing over different realizations of the waveguide, but a sum over "pseudo-realizations" which correspond to the different modes in the same waveguide [158][159][160][161][162]. The signal-to-noise level should increase as the square-root of the number of modes in the width of the transmitted pulse.…”
Section: Research Methodology 31 the Fundamental Physical Mechanism mentioning
confidence: 99%
“…The signal-carrying mode will be assumed TE with a cutoff frequency , a wave reactance and a propagation constant . The transfer function in (1) is readily shown to be given by (11) shown at the bottom at the next page (see e.g., [16]), where and (12) The corresponding phase and attenuation constants are then given by (13-a) and (13-b) shown at the bottom of page 963. It is a straightforward academic exercise to find analytic expressions for the characteristic transmission parameters we introduced (or revisited) in (5), (8), and (10).…”
Section: Transmission Over Evanescent Modesmentioning
confidence: 99%
“…Transient analysis of evanescent waveguides is well established in the open literature (e.g., [11]- [13]) and will not be treated here. It is the goal of this contribution to quantitatively and comprehensively investigate the pulse deformation accompanying steady-state evanescent transmissions and the related transmission velocities.…”
Section: Introductionmentioning
confidence: 99%
“…The present results considerably supplement the amount of available data that may be used to either unravel or check the systematic trends in the free-ion and CF parameters across the lanthanide series derived from the spectra for various Ln 2+ ions in several matrices. [15,18] Overall, the combined spectroscopic data enable the investigation of the predictive power of such considerations for the description of spectra for any ion, based on the sets of parameters obtained for another ion in the same matrix. Further studies of the trends in question are in progress.…”
mentioning
confidence: 99%