Pole extraction from real-frequency information

A Common Theoretical Basis for Preconditioned Field Integral Equations and the Singularity Expansion Method

“…Prony's methods, in the time or frequency domain are most popular. Sensitivity to input time or frequency samples have been handled by the modified LSProny [54] and TLS-Prony [55] methods, and other techniques based on the use of the singular value decomposition [56]. The Matrix Pencil Method (MPM) [7] has also been used for applications in low signal-tonoise ratio environments.…”

Finite-difference computation of transient electromagnetic waves for cylindrical geometries in complex media

“…It should be pointed out that for an arbitrary linear dispersive medium, the Prony method [46] can be used to find the poles and residues of a multiterm Debye and/or Lorentz model to fit available frequency domain data for the real and imaginary parts of the complex dielectric constant.…”

“…Since the perfect matching condition for the PML anisotropic medium is a local condition in space (i.e., a boundary condition), and it is valid for all frequencies, the PML can be extended to match either or both an inhomogeneous or a dispersive interior medium with constitutive parameters and in a transparent manner with given as (48) and given as before in (46). Such constitutive parameters produce a PML medium matched to the interior medium for all frequencies and angles of incidence [39].…”

Modeling Curved Carbon Fiber Composite (CFC) Structures in the Transmission-Line Modeling (TLM) Method

“…The approach uses the Prony method [17] to extract frequency domain transfer functions from known frequency domain data samples, and then uses a bi-linear transform to obtain the time domain response. The disadvantage of this approach is that the Prony method requires a correct choice of the number of poles for good approximation and needs to deal with inverse matrix problems.…”