Doppler effect for sound via classical and relativistic space-time diagrams

Reynolds, Robert E.

doi:10.1119/1.16481

Cited by 2 publications

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“…En [9] y [10] se puede encontrar una excelente descripción de la interpretación Doppler del método Römer. Existen también varios trabajos que utilizan el diagrama espacio tiempo para encontrar las fórmulas del efecto Doppler relativista para ondas armónicas, tanto acústicas [11] como electromagnéticas [12].…”

Section: Introductionunclassified

Efecto Doppler para pulsos y su representación en el plano (x, t)

Roatta

Welti

2009

Rev. Bras. Ensino Fís.

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Efecto Doppler para pulsos y su representación en el plano (x, t) ( Doppler effect for pulses and their representation in the plane (x, t))Analía Roatta y Reinaldo Welti Los textos de física de nivel universitario generalmente discuten el efecto Doppler como un tema vinculado sólo a las ondas armónicas, sin embargo, en términos más amplios el efecto está vinculado a compresiones y expansiones, en el dominio del espacio y del tiempo, de pulsos de cualquier tipo. En este trabajo, se estudia analíticamente el efecto que introduce la fuente, o el observador, en movimiento sobre la extensión espacial y temporal del pulso. Se utiliza también diagramas en el plano (x, t), para analizar las compresiones (o expansiones) tanto temporales como espaciales del pulso causado por el movimiento de la fuente, el detector y el reflector. Palavras-chave: efecto Doppler, pulsos, extensión espacial, extensión temporal. The physics textbooks at university level generally discuss the Doppler effect as an issue related only to harmonic waves, however, in broader terms the effect is linked to compressions and expansions in the domain of space and time for pulses of any kind. In this work, we perform an analytical study on the effect that introduces the movement of the source on the spatial and temporary extension of the pulse. We also use diagrams in the plane (x, t) to analyze the contraction (or expansion), both temporal and spatial, of the pulse caused by the movement of the source, the detector and the reflector.

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Section: Introductionunclassified

Efecto Doppler para pulsos y su representación en el plano (x, t)

Roatta

Welti

2009

Rev. Bras. Ensino Fís.

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Formulation of the classical and the relativistic Doppler effect by a systematic method

Huang¹,

Lu²

2004

Can. J. Phys.

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The classical and the relativistic Doppler effect for both acoustic and light waves are formulated exactly by a systematic method. This method differs only in its usage of classical and relativistic transformation laws in the formulation of the classical and relativistic Doppler effect, respectively. The method is straightforward, and much more logically rigorous than the typical demonstrations using graphical illustration. In the formulation of the classical Doppler effect, as expected, no aberration and no transverse classical Doppler effect are found. In the formulation of the relativistic Doppler effect, one important discovery is that the transverse relativistic Doppler effect depends only on the speed of the source relative to the observer, irrespective of the nonskew velocities of the source and the observer relative to the medium. PACS No.: 03.30.+p

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Doppler effect for sound via classical and relativistic space-time diagrams

Cited by 2 publications

References 0 publications

Efecto Doppler para pulsos y su representación en el plano (x, t)

Efecto Doppler para pulsos y su representación en el plano (x, t)

Formulation of the classical and the relativistic Doppler effect by a systematic method

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