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

Huang, Young-Sea; Lu, Kang-Hao

doi:10.1139/p04-049

Cited by 19 publications

(16 citation statements)

References 8 publications

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“…is the obstacle's velocity, is the system's velocity is the propagation velocity of waves, is the received frequency, and is the transmitted frequency[8] [9].…”

Section: ) Doppler Effectmentioning

confidence: 99%

Design of cost-effective range meter for robotic applications

Freiha

Mkhadder

Owayjan

2014

2014 International Conference on Computer, Control, Informatics and Its Applications (IC3INA)

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The ultrasonic range meter measures the distances separating obstacles from a reference point based on ultrasonic waves. Like the LIDAR (Laser Imaging Detection and Ranging) , this project is desired to measure the distance as well as the laser angle in order to localize the surrounding objects. Unlike LIDAR and all available range meters, this new low cost design can measure the distances using one rotating sensor connected to the serial port of a computer via wireless serial communication. Based on coding studies, the received data will be analyzed by a LabVIEW algorithm in order to map the surrounding region. Absorption, scattering and Doppler Effect are taken into consideration.

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“…is the obstacle's velocity, is the system's velocity is the propagation velocity of waves, is the received frequency, and is the transmitted frequency[8] [9].…”

Section: ) Doppler Effectmentioning

confidence: 99%

Design of cost-effective range meter for robotic applications

Freiha

Mkhadder

Owayjan

2014

2014 International Conference on Computer, Control, Informatics and Its Applications (IC3INA)

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“…We first introduce a systematic method for formulating the three-dimensional relativistic Doppler effect for light waves, and give formulas that will be used in the derivation [8].…”

Section: Exact Expression For Radiation Of An Accelerated Chargementioning

confidence: 99%

“…With respect to the frame X, this light waves can be By the systematic method for formulating the Doppler effect of waves [8], we have φ = φ and…”

Section: Three-dimensional Relativistic Doppler Effectmentioning

confidence: 99%

Exact Expression for Radiation of an Accelerated Charge in Classical Electrodynamics

Huang

2007

Found Phys

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The present expression of radiation of an accelerated point charge is only approximately valid. The exact expression of radiation of an accelerated point charge is derived based on special relativity, and using the Larmor formulation for the radiation of an charged particle being accelerated, but instantaneously at rest. The totaled radiation power obtained by the exact expression is the same as Liénard's generalization of the Larmor formula.

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“…Thus the dilation of time can be discovered by measuring the Doppler shift between inertial frames. As the relativistic Doppler shift [1][2][3] involves both the effects, in order to see the time dilation effect only, it is necessary to remove the longitudinal, non-relativistic Doppler shift. To this end, Ives and Stilwell (IS) used two light beams parallel and antiparallel to the direction of motion of hydrogen atomic frames [4,5].…”

Section: Introductionmentioning

confidence: 99%

Systematic approach to the relativistic Doppler effect based on a test theory

Choi

2016

Can. J. Phys.

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Numerous experiments have been carried out to validate the Lorentz transformation or to find possible violations of Lorentz invariance, based on test theories to test special relativity. The test theory of Mansouri and Sexl (MS) provides a general framework for the transformation of inertial frames, presuming a preferred system of reference. Based on the MS framework, this paper systematically approaches the relativistic Doppler effect such that its dependency on transformation coefficients and parameters can be investigated. The Doppler effect is formulated in a complex Euclidean space (CES) where time is represented with imaginary numbers. Two formulae of the Doppler effect which have been derived in an arbitrary transformation within the MS framework are presented: one between an inertial frame and the preferred one and the other between arbitrary inertial frames. It is shown from the former formulation that the Doppler effect is independent of the synchronization of clocks, which implies that the Doppler shifted frequency in the absolute synchronization is the same as that in the standard synchronization. The latter formula can allow us to find Doppler shifts without information on the velocities of inertial frames relative to the preferred frame. Exploiting these theoretical results derived, we examine the transverse and the longitudinal Doppler effects in detail.

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

Cited by 19 publications

References 8 publications

Design of cost-effective range meter for robotic applications

Design of cost-effective range meter for robotic applications

Exact Expression for Radiation of an Accelerated Charge in Classical Electrodynamics

Systematic approach to the relativistic Doppler effect based on a test theory

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