ID 683883
Date 6/28/2017
Public

## 1.2.1.2. Loss Tangent

Loss tangent (tan(δ)) is a measure of signal loss as the signal propagates down the transmission line. Material datasheets and PCB manufacturers commonly refer to this signal loss as the dissipation factor (Df). tan(δ) or Df is the result of electromagnetic wave absorption by the dielectric material and depends on the material’s structure and glass-resin composition. A lower loss tangent results in more of the original transmitted signal getting through to its destination. This is important for transceiver-based designs where multi-gigabit signals must be transmitted across long backplane channels. A large loss tangent means more dielectric absorption and less of the transmitted signal is getting through to its destination. Below equation shows the signal attenuation due to the loss tangent, measured in decibels per inch (dB/in).

Where:
• is the frequency in GHz
• tan(δ) is the dimensionless loss tangent
• εr is the relative dielectric constant of the material

Ideally, selecting the lowest loss material is the best choice. However, lower loss comes at an increased cost tradeoff. A better approach is to plot attenuation equation against frequency for the various material choices under consideration and compare the signal attenuation for the target data rate and reach required. For example, below figure shows this attenuation for some common PCB materials by plotting attenuation equation against frequency up to 20 GHz.

Figure 2. Comparison of Loss Tangent Attenuation
Table 1.  Material Dielectric Constant and Loss TangentBelow table lists the εr and tan(δ) of each material plotted in above figure.
Material εr tan(δ)
Typical FR4 4 0.02
GETEK 3.9 0.01
Isola 370HR 4.17 0.016
Isola FR406 4.29 0.014
Isola FR408 3.70 0.011
Panasonic Megtron 6 3.4 0.002
Nelco 4000-6 4.12 0.012
Nelco 4000-13 EP 3.7 0.009
Nelco 4000-13 EP SI 3.2 0.008
Rogers 4350B 3.48 0.0037

For example, suppose a design running at 10 Gbps requiring a maximum reach of 40 inches is targeted for the Nelco 4000-13 EP material. Because the Nyquist frequency is 5 GHz for a 10 Gbps data rate, the resulting loss that is due solely to the dielectric absorption of Nelco 4000-13EP material is 0.2 dB per inch multiplied by 40 inches of trace length, resulting in 8 dB of signal attenuation just from the material dielectric absorption. Next, suppose a maximum total loss budget of 10 dB is required for a signal to be properly recovered at the receiver. In this case, most of the signal loss is already consumed by the material dielectric, so a lower loss material or shorter reach must be considered, because additional conductor losses are expected from trace discontinuities, skin effect, vias, and connector assemblies that may be present in the transmission path.

Furthermore, as an example of material cost considerations, below table lists an approximate normalized cost factor relationship for some common PCB materials relative to FR4. Because material costs can vary depending on the PCB vendor, consult the PCB vendor for their latest pricing and relative cost factor data when deciding on material performance versus cost tradeoffs.

Table 2.  Normalized Material Cost Comparison
Material Group Vendor Specific FR4 Relative Cost Factor
170 Tg FR4 (Baseline) Nelco 4000-6 1
High Tg / Reliability-Filled Isola 370HR 1.1
High Speed / Low Loss Isola FR408 1.8
High Speed / Low Loss Nelco 4000-13 EP 2.1
High Speed / Very Low Loss Nelco 4000-13 EP SI 3.2
High Frequency Arlon 85N 4
High Frequency IS680-3.45 4.2
High Speed / Very Low Loss Panasonic Megtron 6 5
High Frequency Rogers 4350B 5.6