Method for optimizing high frequency performance of via structures

A method for optimizing the high frequency performance of at least one via structure, comprising the steps of:

• a) defining a plurality of top level parameters for optimization;
• b) deriving a plurality of second level parameters for optimization and that are monotonic with respect to said top level parameters;
• c) defining economic cost constraints for optimization of said second level parameters;
• d) subdividing said at least one via structure into one of several types of transmission line segments;
• e) minimizing stub section lengths of said at least one via structure;
• f) converting said several types of transmission line segments into equivalent series impedances, and shunt admittances;
• and
• g) optimizing said second level parameters;
• wherein said several types of transmission line segments include transmission line bend sections, non-uniform transmission line thru sections, and loaded non-uniform transmission line stub sections, as necessary, to generate said equivalent series impedances and said shunt admittances;
• wherein said second level parameters are the values of equivalent lumped element series impedances and shunt;
• wherein said optimization of said second level parameters includes making said equivalent series impedances between adjacent sub-circuits as equal as possible, and making said equivalent shunt admittances between adjacent sub-circuits as equal as possible, and if any one of said equivalent series impedances and shunt admittances between adjacent sub-circuits cannot be made as equal as possible, then making a product of said series equivalent impedances and shunt admittances between adjacent sub-circuits as equal as possible.

A method for optimizing the high frequency performance of at least one via structure, comprising the steps of:

• a) defining a plurality of top level parameters for optimization;
• b) deriving a plurality of second level parameters for optimization and that are monotonic with respect to said top level parameters;
• c) defining economic cost constraints for optimization of said second level parameters;
• d) subdividing said at least one via structure into one of several types of transmission line segments;
• e) minimizing stub section lengths of said at least one via structure;
• f) converting said several types of transmission line segments into equivalent series impedances, and shunt admittances;
• and
• g) optimizing said second level parameters;
• wherein said several types of transmission line segments include transmission line bend sections, non-uniform transmission line thru sections, and transmission line stub sections, as necessary, to generate said equivalent series impedances and said shunt admittances;
• wherein said second level parameters are the values of equivalent lumped element series impedances and shunt admittances.