Waveguide Tees: E-Plane vs. H-Plane

waveguide
tee junction
microwave
e plane
h plane

Waveguide tees are essential components in microwave engineering, serving the crucial function of signal splitting and combining. This article delves into E-plane and H-plane tees, explaining their working principles, illustrating their diagrams, highlighting their differences, and providing their S-matrix representations.

In RF and microwave circuits, a waveguide or coaxial line junction with three ports is known as a tee junction. These devices are primarily used for combining and splitting power within a waveguide system. Waveguide tees are 3-port components, mainly categorized into two types: E-plane tees (connected in series) and H-plane tees (connected in shunt) with a section or branch of the main waveguide transmission line.

Let’s explore the operations and functions of these waveguide tee types, including the key differences between them.

E-Plane Tee (Series Tee)

E plane tee E plane tee

As shown in the E-plane tee diagram, the axis of the side arm is parallel to the E-field. This type of E-plane tee is often perfectly matched using screws or capacitive/inductive windows at the junction. When perfectly matched, reflections are minimized, and the diagonal S-parameters of the scattering matrix become zero (S11, S22, and S33 are zero).

For a matched junction, the S-matrix is represented in equation (1) (see Figure-1 in the original article). When waves are fed into port-3 (the side arm), the waves at port-1 and port-2 of the collinear arms will have the same magnitude but opposite phases. Hence, S13=S23S_{13} = -S_{23}.

S=[0S12S13S210S23S31S320](1)S = \begin{bmatrix} 0 & S_{12} & S_{13} \\ S_{21} & 0 & S_{23} \\ S_{31} & S_{32} & 0 \end{bmatrix} \qquad (1)

Note: Equation (1) represents an ideal perfectly matched junction, but in practice, matching may be imperfect.

The S-matrix when collinear arms are symmetric about the side arm is mentioned in equation (2). Here, S13=S23|S_{13}| = |S_{23}| and S11=S22S_{11} = S_{22}.

S=[S11S12S13S12S11S23S13S23S33](2)S = \begin{bmatrix} S_{11} & S_{12} & S_{13} \\ S_{12} & S_{11} & S_{23} \\ S_{13} & S_{23} & S_{33} \end{bmatrix} \qquad (2)

H-Plane Tee (Shunt Tee)

H plane tee H plane tee

As shown in the H-plane tee diagram, the axis of the side arm is parallel to the H-field (magnetic field). In an H-plane tee, when two inputs are fed into port-1 and port-2 of the collinear arms, the output at port-3 will be in phase and additive.

Conversely, if the input is fed at port-3, the waves are split equally into port-1 and port-2 with the same phase and magnitude. These characteristics of the H-plane tee are used in waveguide power combiners and power dividers.

The S-matrix representation of the H-plane tee is similar to that of the E-plane tee, as mentioned in equations (1) and (2) (see Figure-1 in the original article), except that here, S13=S23S_{13} = S_{23}.

Due to imperfect matching, tuning screws are often used to adjust the reactance of the system to achieve perfect impedance matching.

Difference Between E-Plane and H-Plane Tee

AspectE-Plane TeeH-Plane Tee
OrientationElectric field aligned with the branch arm.Magnetic field aligned with the branch arm.
Splitting MechanismSplits power equally between two output ports.Divides power with unequal phase shift.
ApplicationSignal mixing and power distribution.Phase shifters and signal combining.
S matrixSymmetrical, with equal power division.Exhibits phase differences across outputs

Conclusion

E-plane and H-plane waveguide tees are essential for efficient signal management in microwave circuits. Understanding their unique features and applications ensures optimal usage in communication systems.

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transmission line
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