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- W1974027729 abstract "Two observers are assumed to move along the $X$ axis and to measure the components of the electric intensity $E({E}_{1},{E}_{2},{E}_{3})$ and magnetic intensity $H({H}_{1},{H}_{2},{H}_{3})$ of a plane electromagnetic wave propagated at an arbitrary angle to the $X$ axis. According to the theory of relativity, the two observers will find the same values of the components ${E}_{1}$ and ${H}_{1}$ along the $X$ axis. The components ${E}_{2},{E}_{3},{H}_{2},{H}_{3}$, along the $Y$ and $Z$ axes, are replotted in a novel manner in the so-called computing plane which consists of two sets of oblique co-ordinates. The angle comprised by each set is uniquely determined by the relative velocity of the two observers. In the computing plane a transformation point $M$ is located such that its abscissa and ordinate with respect to one set of oblique axes gives the components ${E}_{2}$ and ${H}_{3}$ of the wave intensities as measured by one of the observers, while its co-ordinates with respect to the other set of axes gives the values of the same components as measured by the other observer. Another transformation point $N$ gives the components ${E}_{15}$ and ${H}_{2}$ for the two observers. It is shown that the loci of $M$ and $N$ are ellipses. The results obtained are shown to check with the well-known equations of the theory of relativity. The location of the points $M$ and $N$ is shown in two simple special cases, and instructions are given for locating them in the general case." @default.
- W1974027729 created "2016-06-24" @default.
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- W1974027729 date "1924-02-01" @default.
- W1974027729 modified "2023-09-23" @default.
- W1974027729 title "Transformation of Electric and Magnetic Forces in a Plane Wave, in a Plane Normal to the Direction of Relative Motion of Two Observers" @default.
- W1974027729 doi "https://doi.org/10.1103/physrev.23.239" @default.
- W1974027729 hasPublicationYear "1924" @default.
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