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RS Analyst Model Limitations and Assumptions

As with any mathematical model the RS Analyst model has limitations.  RS Analyst uses transmission line theory to calculate field-to-wire coupling.  The validity of the RS Analyst transmission line model is subject to the following conditions and assumptions:

·      The conductors are isolated such that the impedance from either conductor to any ground or other conductive structure is sufficiently large that its effect may be ignored.

·      The conductors have a constant circular cross section and are uniformly spaced over the length of the line. 

·      The transmission line has uniform characteristic impedance over its length, (i.e.,  = constant over the length of the conductors).

·      Conductor separation is small compared to the incident field wavelength and the length of the line.  This is not much of a limitation for most electronic interconnects.  For example, a heavily insulated 22-gauge wire may have insulation about 1 mm thick, yielding a conductor separation of 2 mm, which corresponds to a free space wavelength of 150 GHz.  Conductor spacing is clearly small compared to the incident field wavelength for most applications. 

·      Current and voltage waveforms induced on the conductors are assumed to propagate in Transverse Electromagnetic (TEM) mode.  When conductor separation is not small with respect to the incident field wavelength, higher order modes of propagation may be present and predicted levels at the terminations may not accurately represent the actual mode of propagation.

·      The incident field is assumed to be a uniform plane wave at the transmission line.  The field impinging on the transmission line therefore has a wave impedance (i.e., the ratio of electric field to magnetic field, E/H) of approximately 377 W.

·      Any dielectric surrounding the conductors has insignificant effect on induced current and voltage levels.

·      Circuits at either end of the conductors are electrically small (i.e. the physical dimensions of the terminations are much smaller than the incident field wavelength) and may be considered lumped elements. 

·      The circuits at either end of the conductors are assumed to be shielded from the incident field such that current and voltage induced by the field in the circuit components and circuit interconnects is insignificant. 

·      The ground plane, if present in the circuit under investigation, has infinite extent.

·      Conductors over a ground plane are uniformly spaced above the ground plane over the length of the line.

·      For conductors over a ground plane, the conductor height above ground is small compared to the incident field wavelength and the length of the line.  For a wire 5 cm above ground, which is common in EMI testing, a quarter-wavelength occurs at 1.5 GHz.  Current and voltage waveforms induced on the leads are assumed to propagate in TEM mode.  When conductor height above ground is not small with respect to the incident field wavelength, higher order modes of propagation may be present and predicted levels at the ends of the conductors may not accurately represent the actual mode of propagation.

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