Comments on"Pulse Waveform Degradation Due to Dispersion in Waveguide" (Correspondence)

Knop, C.M.; Cohn, G.

doi:10.1109/tmtt.1963.1125697

Cited by 28 publications

(10 citation statements)

References 2 publications

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“…The effect of a wave guide on the shape of transmitted pulse signals has been of interest for a number of years. Examples of investigation into theoretical aspects of the problem are Cerrillo [1948], Forrer [1958], and Knop and Cohn [1963]; experimental papers include Russo and Schoep [1965] and Ito [1965]. Approximate solutions have been derived for general pulse shapes, and in some cases, numerical integration has been used to obtain exact evaluations of specific pulse forms.…”

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confidence: 99%

An Exact Solution for Wave‐Form Distortion of Arbitrary Signals in Ideal Wave Guides

Vogler¹

1970

Radio Science

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An exact expression is derived for the transient response of an arbitrarily modulated signal propagating through an ideal wave guide. The solution is in the form of an infinite series of Bessel functions, the coefficients of which depend in a simple manner on the time derivatives of the input signal. It is shown that for the specific example of a step‐modulated carrier signal (the only earlier case for which an exact solution is known) the general expression reduces to that derived in earlier works. A particular case of a ‘double exponential’ pulse is evaluated and briefly discussed.

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confidence: 99%

An Exact Solution for Wave‐Form Distortion of Arbitrary Signals in Ideal Wave Guides

Vogler¹

1970

Radio Science

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“…2)] vanishes identically for 0 < 1 so that the total field propagates with a velocity less than the vacuum speed of light.1-3 "1 7 The asymptotic approximation of the propagated field for > 1 may be written in the form' 7…”

Section: Physical Measure Of the Signal Velocitymentioning

confidence: 99%

Numerical determination of the signal velocity in dispersive pulse propagation

1989

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The signal velocity of a unit-step-function-modulated signal with a constant carrier frequency wc that is propagating in a linear dispersive medium with absorption (the Lorentz medium) is determined through numerical simulation and compared with that predicted by rigorous asymptotic theory. The exceptional agreement between these purely numerical results and the asymptotic theory, including the bifurcation of the signal velocity at carrier frequencies well above the medium resonance frequency, serve to validate completely both the description of the signal arrival afforded by the asymptotic theory and the physical propriety of this velocity measure in dispersive pulse propagation for input pulses with an instantaneous turn-on time.

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“…Distortion to the propagation of a pulsed laser signal having a rectangular envelope resulting from index of refraction variations with frequency can be expressed in terms of Elliott's a parameter [2], [5], [6]. Knop …”

Section: Authors ' Reply4mentioning

confidence: 99%

Limit imposed by atmospheric dispersion on the minimum laser pulsewidth that can be transmitted undistorted

Brookner

1969

Proc. IEEE

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Comments on"Pulse Waveform Degradation Due to Dispersion in Waveguide" (Correspondence)

Cited by 28 publications

References 2 publications

An Exact Solution for Wave‐Form Distortion of Arbitrary Signals in Ideal Wave Guides

An Exact Solution for Wave‐Form Distortion of Arbitrary Signals in Ideal Wave Guides

Numerical determination of the signal velocity in dispersive pulse propagation

Limit imposed by atmospheric dispersion on the minimum laser pulsewidth that can be transmitted undistorted

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