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Numerical study of dispersion characteristics of cylindrical spiral lines and periodic gratings based on them
- Authors: Bankov S.E.1, Kalinichev V.I.1
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Affiliations:
- Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences
- Issue: Vol 69, No 2 (2024)
- Pages: 103-114
- Section: ЭЛЕКТРОДИНАМИКА И РАСПРОСТРАНЕНИЕ РАДИОВОЛН
- URL: https://rjsvd.com/0033-8494/article/view/650705
- DOI: https://doi.org/10.31857/S0033849424020016
- EDN: https://elibrary.ru/KNBODU
- ID: 650705
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Fig. 1. Model of a three-dimensional cylindrical spiral line.
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Fig. 2. Model of a single line cell (PML layers not shown).
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Fig. 3. Dispersion characteristics of a spiral line at Ds = 4 mm, Dw = 1 mm, p = 1 (1), 2 (2), 5 (3), 10 mm (4).
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Fig. 4. Dispersion characteristics of a spiral line at p = 5 mm, Dw = 1 mm, Ds = 10 (1), 8 (2), 6 (3), 4 mm (4).
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Fig. 5. Dispersion characteristics of a spiral line at p = 5 mm, Ds = 4 mm, Dw = 0.5 (1), 1 (2), 2 mm (3).
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Fig. 6. Instantaneous distribution of the amplitude of the electric field strength of the surface wave of the spiral in the transverse plane XOY at a frequency of 9.633 GHz.
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Fig. 7. Dispersion characteristic of a spiral line in a wide frequency range (a) and in a narrow vicinity of the forbidden zone (b) at p = 5 mm, Ds = 4 mm, Dw = 1 mm: forward (1) and backward waves (3) and the corresponding counter-propagating waves (2) and (4).
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Fig. 8. Fragment of a linear periodic lattice of spiral lines.
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Fig. 9. Model of a single cell for a linear periodic lattice of spiral lines.
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Fig. 10. Dispersion curves for the first eigenwave in a linear lattice of spiral lines at δφy = 0° (1), 45° (2), 90° (3) and 180° (4): a – deceleration relative to the line axes, b – total deceleration; dashed curve – dispersion of a single line.
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Fig. 11. Dispersion curves for the second eigenwave in a linear lattice of spiral lines at δφy = 0° (1), 45° (2), 90° (3), 180° (4): a – deceleration relative to the line axes, b – complete deceleration; light circles in Fig. (a) – inflection points.
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Fig. 12. Dependences of the total slowdown of the first (solid curves) and second (dashed lines) natural waves of a linear array on the frequency at δφy = 0° (a) and 180° (b). Light circles in Fig. (a) and (b) are inflection points.
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Fig. 13. Dependence of the propagation angle of the fundamental wave relative to the line axes in a linear array on the frequency at δφy= 0° (1), 45° (2), 90° (3), 180° (4).
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Fig. 14. Dependences of the slowdown of the fundamental wave of a linear array along the line axes on the phase shift between them at f = 5 (1), 6 (2) and 7 GHz (3); the dots on the curves indicate the slowdown values at δφy = 0°, 15°, 30°, 45°, 90°, 135° and 180° (from left to right).
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Fig. 15. Fragment of a two-dimensional periodic lattice of spiral lines.
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Fig. 16. Model of a single cell of a two-dimensional periodic lattice of spiral lines.
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Fig. 17. Dispersion curves of the first eigenwave in a two-dimensional lattice for δφ = 0° (1), 45° (2), 90° (3) and 180° (4): a – deceleration relative to the line axes, b – total deceleration; the dotted curve is the dispersion of a single line.
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Fig. 18. Dispersion characteristics of the second eigenwave in a two-dimensional lattice of spiral lines at δφ = 0° (1), 45° (2), 90° (3), 180° (4): a – slowdown relative to the line axes, b – total slowdown; light circles in Fig. (a) – inflection points.
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Fig. 19. Dependences of the total slowdown of the first (solid curves) and second (dashed) eigenwaves of a two-dimensional lattice on the frequency at δφ = 0° (a) and 180° (b); the light circle in Fig. (a) is the inflection point.
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Fig. 20. The propagation angle of the fundamental wave relative to the line axes depending on the frequency in a two-dimensional array for δφ= 0° (1), 45° (2), 90° (3) and 180° (4).
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Fig. 21. Dependences of the slowdown of the fundamental wave of a two-dimensional array along the axes of the lines on the phase shift between them at f = 6 (1), 7 (2) and 8 GHz (3); the dots on the curves indicate the slowdown values at δφy = 0°, 15°, 30°, 45°, 90°, 135° and 180° (from left to right).
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