Circular Cavity – TM010 Mode
Resonant cylindrical cavity.
Mode: TM010 | f0 = ...
Electric Field (E) – Cross‑section (z=0)
Ez component.
Magnetic Field (H) – Cross‑section (z=0)
Azimuthal Hφ.
E‑field in r‑z plane (φ=0)
Ez along radius and height.
H‑field in r‑z plane (φ=0)
Hφ (color) and arrows.
📐 TM010 Fields
Ez = E0 J0(kcr)
Hφ = H0 J1(kcr)
kc = 2.405 / R
f0 = c kc / (2π)
Hφ = H0 J1(kcr)
kc = 2.405 / R
f0 = c kc / (2π)
📝 Description & Applications
Cylindrical cavities are used in particle accelerators, microwave filters, and atomic clocks.
Advantages: High Q, symmetrical fields.
Disadvantages: Mode degeneracy.
💡 Interview Questions
What is the significance of the TM010 mode in circular cavities?
How does the resonant frequency depend on the cavity dimensions?