E-Plane
Understanding E-Plane
The E-plane and H-plane are the two principal reference planes in antenna engineering and waveguide design. Every antenna radiation pattern is characterized by cuts in these two planes, providing the essential information about beamwidth, sidelobe levels, and cross-polarization. Similarly, waveguide components are classified as E-plane or H-plane depending on their orientation relative to the electric field.
Understanding which plane is the E-plane is critical for proper system integration. When connecting a horn antenna to a rectangular waveguide, the E-plane flare determines the elevation beamwidth, while the H-plane flare controls the azimuth pattern. Mixing up these planes results in a rotated polarization and incorrect coverage patterns.
E-Plane Equations
BWE = 51λ/DE (degrees)
DE = aperture dimension in E-plane
H-plane beamwidth:
BWH = 69λ/DH (degrees)
(Different illumination taper)
E-plane horn gain:
G = 4πAeff/λ²
Aeff = ηap × a × bE
ηap ≈ 0.5-0.8 (aperture efficiency)
E-Plane vs H-Plane Components
| Component | E-Plane | H-Plane | Effect | Application |
|---|---|---|---|---|
| Bend | Narrow wall | Broad wall | Direction change | Routing |
| T-junction | Series (180°) | Shunt (0°) | Power split | Combiner |
| Horn | Height flare | Width flare | Beamwidth | Feed antenna |
| Pattern cut | Elevation | Azimuth | Coverage | Antenna test |
| Polarization | Co-pol plane | Cross-pol min | Purity | Feed design |
Frequently Asked Questions
E vs H plane?
E-plane: contains E-field + max radiation direction. H-plane: contains H-field + max radiation. Always perpendicular. Vertical antenna: E=elevation, H=azimuth. Waveguide TE10: E=narrow wall (y-z), H=broad wall (x-z). Determines component naming and pattern cuts.
Waveguide components?
E-bend: narrow wall changes direction, R≥1.5λg for low VSWR. E-tee: series junction, 180° phase split (subtractive divider). E-horn: height flare, narrow E-plane beam, wide H-plane. E-plane sectoral: 10-60° beamwidth depending on flare/length.
Pattern design?
BW_E = 51λ/D_E (uniform illumination). Larger E-dimension = narrower beam. Cross-pol highest in 45° diagonal planes. Matched E/H beamwidths = lowest cross-pol (corrugated/dual-mode horns for reflector feeds). Critical for satellite feed antennas.