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IEVref: | 705-01-28 | ID: | |

Language: | en | Status: Standard | |

Term: | wave vector | ||

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Definition: | a complex vector $\overrightarrow{\underset{\_}{K}}=\overrightarrow{{K}^{\prime}}+\text{j}\overrightarrow{{K}^{\u2033}}$ which characterizes a sinusoidal electromagnetic wave relative to a point in space when each of the electromagnetic field vectors can be represented, in a domain of space in the neighbourhood of this point, by an expression such as: $\overrightarrow{{\underset{\_}{V}}_{\text{i}}}=\overrightarrow{{\underset{\_}{V}}_{\text{oi}}}\text{\hspace{0.17em}}{\text{e}}^{\text{j}\left(\omega t-\overrightarrow{\underset{\_}{K}}\cdot \overrightarrow{r}\right)}$ in which:
- vectors $\overrightarrow{{\underset{\_}{V}}_{\text{oi}}}\text{\hspace{0.17em}}$, generally complex, are independent of time and practically constant in the domain considered, NOTE 1 – If the wave can be characterized by a wave vector at every point in a domain, there exists a wavefront containing the point and orthogonal to the real part $\overrightarrow{{K}^{\prime}}$ of the wave vector. The magnitude of $\overrightarrow{\underset{\_}{K}}$ is 2π divided by the wavelength. NOTE 2 – The wave has an elliptical polarization if the imaginary part of each vector $\overrightarrow{{\underset{\_}{V}}_{\text{oi}}}\text{\hspace{0.17em}}$ is neither zero nor collinear with its real part; the wave has a linear polarization in the other cases. | ||

Publication date: | 1995-09 | ||

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$\overrightarrow{{\underset{\_}{V}}_{\text{i}}}=\overrightarrow{{\underset{\_}{V}}_{\text{oi}}}\text{\hspace{0.17em}}{\text{e}}^{\text{j}\left(\omega t-\overrightarrow{\underset{\_}{K}}\cdot \overrightarrow{r}\right)}$

in which:

- vectors $\overrightarrow{{\underset{\_}{V}}_{\text{oi}}}\text{\hspace{0.17em}}$, generally complex, are independent of time and practically constant in the domain considered,

- $\overrightarrow{\underset{\_}{K}}$ vector is practically constant in the domain considered,

- *ω* is the angular frequency,

- *t* is time,

- $\overrightarrow{r}$ is the vector joining the origin of coordinates to the point of interest in the domain