RF sheet resistance examples

Updated June 10, 2006

Click here to go to our page on skin depth

Click here to go to our page on transmission line losses

This page was recently split off from our skin depth page, and is under reconstruction. Along with this discussion we offer a download that calculates equivalent RF sheet resistance for metals that have up to three different layers. If you are a thin film vendor and would like to sponsor this outstanding page and beat your competitors to the punch, contact us!

By the way, we are going to use the metric system for this discussion, and in the download, even though we have been known to diss it. Why? because there are no popular units of bulk resistivity in the English system. Regarding skin depths and thin film thicknesses, if you want to convert from microns to micro-inches exactly, divide microns by 0.0254. There are approximately 40 microinches in one micron, that's close enough when you are dealing with plating.

Here is a clickable index for this web page:

Solving the skin depth equation for multiple layers

How to use our free download to calculate RF sheet resistance

Some useful examples of RF sheet resistance calculations

Nickel plating

Thin-film TaN resistors

Solving the skin depth equation for multiple layers

Quite often we use a stack of multiple metals when constructing a thin film or a MMIC. To reduce processing cost, resistor material is often placed underneath the primary conductor metal(s), such as gold. How do you analyze this?

More to come!

How to use our free download to calculate RF sheet resistance over frequency

More to come!

Some examples

Below are some examples of data generated by the Microwaves101 RF sheet resistance calculator download.

Nickel plating

Let's look at the effect of 50 micro-inches of nickel plating. As you can see from the plot below, from 1 GHz on up you have over five skin depths. So you have achieved the "maximum RF sheet conductivity" of the metal at any microwave frequency.

Below is what that means in terms of RF sheet resistance. A "good" value for RF sheet resistance is perhaps 0.03 ohms per square at X-band. Here we have about 1 ohm per square at X-band. If your transmission lines have any length at all, you have some serious attenuation in a fifty-ohm system. Note that if you overplate the nickel with gold, you don't fix the problem.

Thin-film TaN resistors

Let's look at the RF sheet resistance of two thickness of tantalum nitride (TaN) resistors. In the first case, the TaN film to achieve a DC sheet resistance of 50 ohms per square is about is 2 microinches, or 0.05 microns. This sheet resistance is a popular value with thin film vendors. This thickness of TaN is less than 1% of a skin depth at X-band, so the RF sheet resistance is very nearly equal to the DC value. The plot below shows how the RF skin depth varies over frequency; the error is only about 1% all the way up at W-band, less at lower frequencies. Nothing to concern yourself with.

Below we have simulated a thicker film of TaN, this time approximately 20 micro-inches, which provides a DC sheet resistance of 5 ohms per square. In this case the film is about 6% of a skin depth a X-band, and about 20% at W-band. Below the RF sheet resistance is plotted over frequency. Now we see a 3% error at X-band and a 10% error at W-band. Something to think about next time you are trying to trying to design an accurate attenuator at 100 GHz!