Theory

On this page, we present the theory behind the QTCAD^® solvers for superconducting quantum devices.

In Section 1 to Section 4, we describe the mathematical models defining the linear Poisson equation solver, the capacitance solver, the Maxwell eigenmode solver, and the Maxwell driven solver.

In Section 5 we describe the method for quantizing superconducting circuits containing Josephson junctions based on energy-participation ratios.

In Section 6 we describe the modelling framework used in the Josephson-energy solver.

• 1. Linear Poisson equation solver
• 2. Capacitance Matrix
• 3. Maxwell Eigenmodes
• 4. Driven Maxwell Solver
• 5. Energy-participation-ratio method
• 6. Josephson-energy solver