Rectangular Cavity – TE101 Mode
Resonant cavity with dimensions a, b, d.
Mode: TE101 | f0 = ...
Electric Field (E) – Cross‑section (z=0)
Ey component.
Magnetic Field (H) – Cross‑section (z=0)
Hx and Hz components.
E‑field in x‑z plane (y=0)
Ey (color) along x and z.
H‑field in x‑z plane (y=0)
Arrows: (Hx, Hz).
📐 TE101 Fields
Ey = E0 sin(πx/a) sin(πz/d)
Hx = H0 sin(πx/a) cos(πz/d)
Hz = H0 cos(πx/a) sin(πz/d)
Resonant frequency: f101 = c/(2π) √[(π/a)² + (π/d)²]
Hx = H0 sin(πx/a) cos(πz/d)
Hz = H0 cos(πx/a) sin(πz/d)
Resonant frequency: f101 = c/(2π) √[(π/a)² + (π/d)²]
📝 Description & Applications
Rectangular cavities are used as resonators in filters, oscillators, and particle accelerators.
Applications: Cavity filters, microwave ovens, linear accelerators.
Advantages: High Q, stable resonance.
Disadvantages: Large size at lower frequencies.
💡 Interview Questions
What is the Q factor of a cavity and how does it relate to losses?
How does the resonant frequency change with cavity dimensions?