Hochfrequenz - Zeitbereich

Der Full Wave Solver berücksichtigt alle Terme der Maxwellschen Gleichungen. Dadurch kann die Wellenlänge kleiner sein als die Abmessungen des untersuchten Teils und es sind sogar sehr hohe Frequenzen möglich. Im Zeitbereich sind die Ergebnisse das elektrische und magnetische Feld für jeden Zeitschritt.

Features

• Plot: Magnetic Fluxdensity, Magnetic Fieldstrength, Electric Fieldstrength, Current Density, Eddy Current Losses Density, Vectorpotential, Nodal Force - virtual, Nodal Moment - virtual, Forcedensity - virtual, Lorentz Force, Poynting Vector. 
• Table: Total Force - virtual, Total Moment - virtual, Total Lorentz Force, Electrode Voltage, Electrode Current, Voltage on Circuits, Current on Circuits, Power on Circuits, Eddy Current Losses.
• 4D Fields:  Force - virtual NodeID Table, Forcedensity - virtual XYZ Table, Lorentz Force NodeID Table.
• Coupled Thermal: Temperature.
• Coupled Structural: Structural Deformation.

Examples

Wind Turbine Tower Lightning Strikes	Waveguide Combiner

Theory and Basics

Formulations

The basis equations:
(1)        rot h = j + δ_t d
(2)        rot e = -δ_t b
(3)        div b = 0

Constitutive relations:
(4)        b = µ h
(5)        d = ε e
(6)        j = σ e

The following a-v-formulation is used for 3D

Magnetic vectorpotential a, 
electric scalar potential v:             
(7)        b = rot a
(8)      e = -δ_t a – grad v

Magnetodynamic  weak  a-v-formulation with full wave extension:
(9)            (µ^-1 rot a, rot a’ )_Ω
                + (σ δ_t a, a’ ) _Ωc
                + (σ grad v, a’ ) _Ωc 
                + (σ δ_t a, grad v’ ) _Ωc
                    + (σ grad v, v’ ) _Ωc

                + (ε δ²_t a, a’ ) _Ω 
                + (ε δ_t grad v, a’ ) _Ω 
                + (ε δ²_t a, grad v’ ) _Ω 
                + (ε δ_t grad v, grad v’ ) _Ω 

                      = 0

+Silver-Müller radiaton condition at infinity (outgoing waves)

The equation can be solved in the time or frequency domain.