Solving for Fields

Q3D invokes various different field solvers depending upon which circuit quantities have been requested.

Circuit Parameter Solver(s) Used Sources Field Computed Derived Field Quantities

Capacitance/Conductance

capacitance extractor (caxtr)

Charge

Q

E, D

DC Resistance

conduction (cnq3d)

DC Current

V

J, E

DC Inductance

IE (ens_solver)

DC conduction (cnq3d)

DC Current

A

V

H, B, E

J

AC Resistance

IE (ens_solver)

AC conduction

AC Surface Current

Ks

V

Js, H

AC Inductance

IE (ens_solver)

AC conduction

AC Surface Current

A

H

Ks

B

H Fields

In order to visualize H fields in Ensight after AC/RL extraction, H fields must be computed at all required observed points in the space or model surface based on the solution of surface current density. Q3D Extractor uses radiation integrals, which in quasistatic case collapses to:

Where N is the total number of elements. Q3D Extractor also assumes that current density on each element is constant.