Proper orthogonal decomposition in reduced order model generation for microwave problem

Reduced order model using the technique of proper orthogonal decomposition (POD), also known as Karhunen-Loeve decomposition (KLD) for simulation of a linear large scale microwave problems is presented in this paper. Model order reduction is achieved by projecting the state-space of the original problems onto a subspace spanned by a few number of proper orthogonal modes (POMs) abstracted by POD from an ensemble of system responses at a series of selected frequencies. The proper orthogonal values (POVs) corresponding to POMs indicate the level of importance of each POM and provide a guidance for the number of POMs to be used in the reduced order model. Numerical experiments obtained from the simulations of a planar micromachined microwave spiral inductor demonstrate that the reduced order model can reproduce the original system frequency dependent parameters effectively and accurately