O'Reilly logo

Digital Circuit Boards: Mach 1 GHz by Ralph Morrison

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

2.5 Wave Velocity

The velocity of a wave traveling on a transmission line is given by

2.3 2.3

where L and C refer to the inductance and capacitance per unit length of line, respectively.

This is equal to the velocity of light divided by the square root of the relative dielectric constant or

2.4 2.4

N.B.
The wave velocity is usually measured at the leading edge of the wave. This is somewhat inexact as the rise time tends to increase with transit time.

For circuit boards where the relative dielectric constant is ∼ 4.0, the wave velocity is 0.015 cm/ps. This means a wave travels in a board dielectric about 1/16 inch in 10 ps.

The dielectric constant and the losses along a transmission line will vary as a function of frequency. This means that the sine wave voltages that make up the initial wave do not travel at the same velocity. As the wave travels, the wave front will lose its sharp character. The amount of wave front distortion will depend on the type of dielectric, on line losses, on radiation, and on line length. Board material that is rated to operate at a higher frequency will distort the wave less over a given length of trace.

In microstrip transmission lines (outer traces), a part of the E field is external to the dielectric, which means that some of the field travels at a higher ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required