**Authors:** Richards Joe Stanislaus and Gnanamoorthi Naveen Babu

**Source:** FERMAT, Volume 21, Communications 2, May-Jun., 2017

**Abstract:**
The large signal behavior of linear beam travelling wave amplifier is presented in this paper. The electron transit time and the electron exit velocity in a dielectric supported helix traveling wave tube amplifiers (TWTA) are derived by solving the non-homogeneous boundary value problem. From the Maxwell’s field equations, electron ballistic equation and from the boundary conditions of the tape helix TWT, a Green’s function sequence is obtained for the axial electric field as a function of electron arrival time in the interaction region. By successive approximation technique, the electron transit time and therefore the exit velocity equations were derived and numerically computed.

**Index Terms:** Electron ballistic equation, anisotropically conducting, tape-helix, electron beam, boundary conditions

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