Methods, systems, and computer-readable media for model order reduction in electromagnetic simulation and modeling

A non-transitory computer-readable medium encoded with software code instructions, when executed by a computer, implementing a method for simulating a circuit, the method comprising:

• providing a network model of the circuit having a plurality of ports, each of the plurality of ports being associated with a net pair of one or more net pairs and each of the plurality of ports defined by two terminals, wherein each of the plurality of ports corresponds to one of an input and output of the circuit;
• combining the plurality of ports into one or more groups based on the associated net pairs, wherein each group corresponds to one of the net pairs;
• calculating a plurality of mode expansion elements of an electromagnetic field for each of the plurality of ports in each group;
• for each group, determining one or more mode expansion elements of the calculated plurality of mode expansion elements that are shared by each of the plurality of ports in the group, wherein (i) the one or more shared mode expansion elements are one or more dominant modes and (ii) each of the plurality of ports includes at least one mode expansion element that is different from any of the one or more shared mode expansion elements;
• and
• simulating the circuit using the one or more shared mode expansion elements determined for each of the groups.

A system for simulating a circuit, comprising:

• a processor;
• and
• a memory communicatively coupled to the processor, wherein the processor is configured to:
• load a network model of the circuit having a plurality of ports, each of the plurality of ports being associated with a net pair of one or more net pairs and defined by two terminals, wherein each of the plurality of ports corresponds to one of an input and output of the circuit;
• combine the plurality of ports into one or more groups based on the associated net pairs, wherein each group corresponds to one of the net pairs;
• calculate a plurality of mode expansion elements of an electromagnetic field for each of the plurality of ports in each group;
• for each group, determine one or more mode expansion elements of the calculated plurality of mode expansion elements that are shared by each of the plurality of ports in the group, wherein (i) the one or more shared mode expansion elements are one or more dominant modes and (ii) each of the plurality of ports includes at least one mode expansion element that is different from any of the one or more shared mode expansion elements;
• and
• simulate the circuit using the one or more shared mode expansion elements determined for each of the groups.