Open Access
Numerical verification of the dispersion relation of trapezoidally corrugated slow wave structure for backward wave oscillators
Author(s) -
AlAmin Md. Rasheduzzaman,
Amin Md. Ruhul,
Sagor Rakibul Hasan
Publication year - 2018
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2017.0233
Subject(s) - dispersion relation , dispersion (optics) , passband , physics , optics , field (mathematics) , transverse plane , mode (computer interface) , computational physics , mathematics , band pass filter , engineering , structural engineering , computer science , pure mathematics , operating system
The dispersion relation of beam‐free trapezoidally corrugated periodic metallic slow wave structure (TCSWS) has been numerically verified using a synthetic technique. The dispersion curves for both the fundamental and the higher order passband modes (TM 01 –TM 03 ) are computed for an axisymmetric‐corrugated structure. The periodic structure resonates at specific frequencies when shorted appropriately at both ends. From the specific frequency values of these resonant peaks, a dispersion curve is determined for each transverse magnetic (TM) mode. The obtained dispersion curve is compared with both the experimental and analytical results using the same number of periods. The comparisons with analytical results and their experimental counterpart agree excellently with a maximum deviation of 1.94% for the TM 01 mode, 1.29% for the TM 02 mode and 2.38% for the TM 03 mode. The radial and longitudinal electromagnetic field patterns of TCSWS are also calculated and compared with analytical field patterns for a six‐period slow wave structure. Comparative results validate both the obtained dispersion curves and field patterns of TCSWS.