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IEVref: | 103-10-18 | ID: | |

Language: | en | Status: Standard | |

Term: | propagation coefficient | ||

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Symbol: | $\underset{\_}{\gamma}$ | ||

Definition: | complex quantity $\underset{\_}{\gamma}=\alpha +\text{j}\beta$ appearing in the complex representation of a wave ${A}_{0}\text{exp}(-\underset{\_}{\gamma}\text{\hspace{0.05em}}x+\text{j}\omega \text{\hspace{0.05em}}t+\text{j}{\vartheta}_{0})$, where its real part ${A}_{0}\text{exp}(-\alpha \text{\hspace{0.05em}}x)\text{cos}(-\beta \text{\hspace{0.05em}}x+\omega \text{\hspace{0.05em}}t+{\vartheta}_{0})$ represents, along a line parallel to the x-axis, a characteristic quantity of a guided sinusoidal wave or a plane sinusoidal wave, at angular frequency ω and initial phase $\vartheta}_{0$Note 1 to entry: The concept of propagation coefficient has a meaning only when $A}_{0$ and $\underset{\_}{\gamma}$ are substantially independent of Note 2 to entry: The propagation coefficient has the dimension of reciprocal length and is usually a function of frequency. | ||

Publication date: | 2009-12 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO | ||

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Note 1 to entry: The concept of propagation coefficient has a meaning only when $A}_{0$ and $\underset{\_}{\gamma}$ are substantially independent of *x.*

Note 2 to entry: The propagation coefficient has the dimension of reciprocal length and is usually a function of frequency.