Isolator (microwave)

Resonance absorption isolator consisting of WG16 waveguide containing two strips of ferrite (black rectangle near right edge of each broad wall), which are biased by a horseshoe permanent magnet external to the guide. Transmission direction is indicated by an arrow on the label on the right

An isolator is a two-port device that transmits microwave or radio frequency power in one direction only. It is used to shield equipment on its input side, from the effects of conditions on its output side; for example, to prevent a microwave source being detuned by a mismatched load.

Non-reciprocity

An isolator is a non-reciprocal device, with a non-symmetric scattering matrix. An ideal isolator transmits all the power entering port 1 to port 2, while absorbing all the power entering port 2, so that to within a phase-factor its S-matrix is

S = \begin{pmatrix} 0 & 0 \\ 1 & 0 \end{pmatrix}

To achieve non-reciprocity, an isolator must necessarily incorporate a non-reciprocal material. At microwave frequencies this material is invariably a ferrite which is biased by a static magnetic field. The ferrite is positioned within the isolator such that the microwave signal presents it with a rotating magnetic field, with the rotation axis aligned with the direction of the static bias field. The behaviour of the ferrite depends on the sense of rotation with respect to the bias field, and hence is different for microwave signals travelling in opposite directions. Depending on the exact operating conditions, the signal travelling in one direction may either be phase-shifted, displaced from the ferrite or absorbed.

Types

An X band isolator consisting of a waveguide circulator with an external matched load on one port

Two isolators each consisting of a coax circulator and a matched load

Resonance absorption

In this type the ferrite absorbs energy from the microwave signal travelling in one direction. A suitable rotating magnetic field is found in the TE₁₀ mode of rectangular waveguide. The rotating field exists away from the centre-line of the broad wall, over the full height of the guide. However, to allow heat from the absorbed power to be conducted away, the ferrite does not usually extend from one broad-wall to the other, but is limited to a shallow strip on each face. For a given bias field, resonance absorption occurs over a fairly narrow frequency band, but since in practice the bias field is not perfectly uniform throughout the ferrite, the isolator functions over a somewhat wider band.

Field displacement

This type is superficially very similar to a resonance absorption isolator, but the magnetic biassing differs, and the energy from the backward travelling signal is absorbed in a resistive film or card on one face of the ferrite block rather than within the ferrite itself. The bias field is weaker than that necessary to cause resonance at the operating frequency, but is instead designed to give the ferrite zero permeability for one sense of rotation of the microwave signal field. The bias polarity is such that this special condition arises for the forward signal, while the backward signal sees the ferrite as an ordinary permeable material. Consequently, the electromagnetic field of the forward signal tends to be excluded from the ferrite while the field of the backward wave is concentrated within it. This results in a null of the electric field of the forward signal on the surface of the ferrite where the resistive film is placed. Conversely for the backward signal, the electric field is strong over this surface and so its energy is dissipated in driving current through the film. In rectangular waveguide the ferrite block will typically occupy the full height from one broad-wall to the other, with the resistive film on the side facing the centre-line of the guide.

Using a circulator

A circulator is a non-reciprocal three- or four-port device, in which power entering any port is transmitted to the next port in rotation (only). So to within a phase-factor, the scattering matrix for a three-port circulator is

S={\begin{pmatrix}0&0&1\\1&0&0\\0&1&0\end{pmatrix}}

A two-port isolator is obtained simply by terminating one of the three ports with a matched load, which absorbs all the power entering it. The biassed ferrite is part of the circulator and causes a differential phase-shift for signals travelling in different directions. The bias field is lower than that needed for resonance absorption, and so this type of isolator does not require such a heavy permanent magnet. Because the power is absorbed in an external load, cooling is less of a problem than with a resonance absorption isolator.

References

Fox, A. G.; Miller, S. E.; Weiss, M. T. (January 1955). "Behaviour and applications of ferrites in the microwave region" (PDF). Bell System Technical Journal. Bell Labs. 34 (1): 5–103. doi:10.1002/j.1538-7305.1955.tb03763.x.

Baden Fuller, A. J. (1969). Microwaves (1 ed.). Pergamon Press. ISBN 0-08-006616-X.

Baden Fuller, A. J. (1987). Ferrites at Microwave Frequencies. IEE electromagnetic waves series. Peter Peregrinus. ISBN 0-86341-064-2.

External links

Circulators and Isolators

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