Classical Physics


Wave Propagation Equations in Spaces with Different Metrics

Authors: Valery Timin

A separate widespread type of motion in any space is the wave motion characterized by some amplitude A, oscillation frequency f of the wave parameter and velocity c = cx of the wave motion along the direction of the x axis. In this paper, the equations of wave motion in spaces with different metrics are considered: in Galilean space, pre-relativistic space of classical mechanics, Minkowski space. Aberration, relativistic and Doppler effects are calculated. Various cases of mutual motion of the source and the receiver and corresponding transformations of coordinates are considered.
Отдельным широко распространенным типом движения в любом пространстве является волновое движение, характеризующееся некоторой амплитудой A, частотой колебаний  параметра волны и скоростью c = cx движения волны вдоль направления оси x. В данной работе рассмотрены уравнения движения волны в пространствах с различной метрикой: в галилеевом пространстве, дорелятивистском пространстве классической механики, пространстве Минковского. Рассчитаны аберрация, релятивистский и Доплера эффекты. Рассмотрены различные случаи взаимного движения источника и приемника и соответствующие им преобразования координат.

Comments: language: Russian, number of pages: 17,, Creative Commons Attribution 3.0 License

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Submission history

[v1] 2019-08-05 16:33:40

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