tan delta

Dielectric Loss

/dy-eh-lek-trik loss/
Dielectric loss is the electromagnetic energy dissipated as heat in a dielectric material due to the lagging response of molecular dipoles to the alternating electric field. It is quantified by the loss tangent (tan delta), the ratio of the lossy (imaginary) to the lossless (real) component of the complex permittivity. Low-loss dielectrics (tan delta < 0.002) are essential for microwave circuits; high-loss dielectrics are used as absorbers.
Category: Materials
Related to: Dielectric, Loss Tangent, PCB, Insertion Loss, Microstrip
Units: tan delta (dimensionless)

Understanding Dielectric Loss

Dielectric loss, along with conductor loss, determines the total insertion loss of microstrip lines, stripline, PCB traces, and waveguide fills. At higher frequencies, dielectric loss becomes increasingly dominant, making material selection critical for mmWave designs.

Loss Tangent Values

Materialtan deltaUse
Air0Waveguide, coaxial
PTFE (Teflon)0.0002Low-loss substrates, cables
Rogers RO40030.0027Microwave PCB
FR-40.02Standard PCB (< 3 GHz)
Alumina0.0001MMIC, thick film
Silicon0.015CMOS substrate
Dielectric loss:
alpha_d = (pi f er_eff tan_delta) / (c x sqrt(er_eff))

Dielectric loss in dB/length:
Loss = 8.686 x alpha_d x length

At 10 GHz, 10 cm microstrip on FR-4:
~2 dB dielectric loss alone
On Rogers RO4003: ~0.3 dB
Common Questions

Frequently Asked Questions

What is dielectric loss?

Dielectric loss is energy dissipated as heat in a dielectric material by the alternating electric field. It is quantified by loss tangent (tan delta). Lower tan delta = less loss. Critical for PCB substrate selection and microwave circuit performance.

Why is FR-4 bad for microwave?

FR-4 has a high loss tangent (~0.02), causing significant signal attenuation above 1-2 GHz. At 10 GHz, a 10 cm FR-4 microstrip line loses ~2 dB from dielectric loss alone. Microwave designs use Rogers, PTFE, or alumina substrates with tan delta < 0.003.

Does dielectric loss increase with frequency?

Yes. Dielectric loss (alpha_d) is directly proportional to frequency. Doubling the frequency doubles the dB/length dielectric loss. This is why low-loss substrates become increasingly important at mmWave frequencies.

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