Induced field determination using diffuse field reciprocity
Methods and systems are provided for determining the surface electromagnetic impedance of a conductive element and applying the diffuse field reciprocity principle using that surface electromagnetic impedance to determine electric fields induced in the conductive element. An exemplary method involves determining a surface electromagnetic impedance matrix for the conductive element based on its physical dimensions and an excitation frequency for an incident electromagnetic wavefield, applying diffuse field reciprocity to determine a metric indicative of an induced field based on the surface electromagnetic impedance matrix and an energy metric for the incident electromagnetic wavefield, and displaying a graphical representation of the metric on a display device.
1. A method of modeling a wiring system, the method comprising:
designing a wiring system including at least one conductive element; and
modeling the wiring system by:
executing one or more first computer instructions configured to determine a predicted response of the conductive element to an electromagnetic wavefield by determining a surface electromagnetic impedance matrix for the conductive element, the surface electromagnetic impedance matrix representing electromagnetic radiation of the conductive element in a wavenumber space and being transformed to a physical domain based on a physical dimension of the conductive element and an excitation frequency of the electromagnetic wavefield;
executing one or more second computer instructions configured to transform the predicted response into a visual output; and
executing one or more third computer instructions configured to display the visual output on a display device to model electromagnetic interference induced on the wiring system by the electromagnetic wavefield;
wherein:
the one or more first computer instructions, the one or more second computer instructions, and the one or more third computer instructions are configured to run at one or more processors and configured to be stored at one or more non-transitory memory storage modules.
2. A method as in claim 1 wherein the wiring system is a wiring system of a vehicle and the conductive element is one or more wires of the wiring system of the vehicle.
3. A method as in claim 1 further comprising analyzing the model of electromagnetic interference induced on the wiring system by the electromagnetic wavefield to ensure integrity of the wiring system.
4. A system for modeling a wiring system, the system comprising:
a wiring system including a conductive element in an enclosing body;
an electromagnetic radiation source;
a user input device;
a display device; and
a processing system coupled to the user input device and the display device and configured to model the wiring system by:
receiving an input from a user via the user input device, the input including a physical dimension of the conductive element and an excitation frequency of the electromagnetic wavefield produced by the electromagnetic radiation source; and
in response to the input:
determining a predicted response of the conductive element to the electromagnetic wavefield by determining a surface electromagnetic impedance matrix for the conductive element, the surface electromagnetic impedance matrix representing electromagnetic radiation of the conductive element in a wavenumber space and being transformed to a physical domain based on the physical dimension of the conductive element and the excitation frequency of the electromagnetic wavefield;
transforming the predicted response to a visual output; and
displaying the visual output on a display device based on the predicted response to model electromagnetic interference induced on the wiring system by the electromagnetic wavefield.
5. A system as in claim 4 wherein the enclosing body is a vehicle, the wiring system is a wiring system of the vehicle and the conductive element is one or more wires of the wiring system of the vehicle.