Such a model is numerically analyzed by the CST Particle Studio. Previous investigations on Bessel-Gauss beams are based on a scalar theory in the paraxial approximation, and thus cannot be extended to the microwave range where a fully vectorial approach is needed. The electric field profiles are normalized to their respective maxima for each different value of w ~ 0, and compared with the theoretical profiles of an ideal BB (black dashed line) and an ideal BGB (black solid line). E-plane at Phi0 and H-plane at phi90 calculate in cst studioAntenna,Microstrip,Patch Antenna,Coaxial Cable,Radio,microwave engineering,probe feed,cst,Coax. The paper is devoted to the development of the classical vircator model in the CST Particle Studio for the investigation of the physical mechanisms of the development, coexistence, and interaction of Pierce/Bursian and diocotron instabilities in relativistic electronic streams. Bessel-Gauss beams have mainly been proposed in optics as a solution for reducing the on-axis intensity oscillations typical of Bessel beams. (b) Radial 1D electric field profiles at z 0 = z ndr BB / 2 (blue solid lines) and z 0 = z ndr BB (light blue solid lines) for different values of w ~ 0 from left to right.
The black bars and open circles represent the numerical calculations and analytical estimations through Eq. ( 8) of z ndr BB, respectively. The technical details of the simulations can be found in Methods. 4, we modelled in CST Microwave Studio TM an analogous two-dimensional scenario. From left to right, w ~ 0 decreases from a very large value (close to the asymptotic condition for having a BB, i.e., w ~ 0 → ∞) up to w ~ 0 = 0.2 (close to the asymptotic condition for having a GB, i.e., w ~ 0 → 0). To support the experimental results shown in Fig. (a) Color maps of the absolute value of the E z component of the electric field over the x- z plane in the range | ρ | < ρ ap = 20 λ 0 and 0 < z < 40 λ 0.
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