Analysis of Polarization and Frequency Selective Surfaces
Author simonp0420
19 Stars
Updated Last
1 Year Ago
Started In
July 2020

PSSFSS - analysis of polarization and frequency selective surfaces in Julia

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PSSFSS is a Julia package for analyzing polarization selective surfaces (PSSs), frequency selective surfaces (FSSs), reflectarray elements, radomes, and similar structures. It is intended to be useful to antenna design engineers and others who work in applied electromagnetic engineering.

The user specifies the geometry to be analyzed as a Vector containing two or more dielectric Layers and zero or more Sheet objects that define the PSS/FSS surfaces. Due to the included plot recipes, the surfaces and their associated triangulations can be conveniently visualized using Julia's standard Plots package. After also specifying the scan angles or unit cell incremental phasings, frequencies to be analyzed, and optionally selecting performance parameters to be written to CSV file(s), the user then invokes the analyze function to perform the analysis. Post-processing and plotting of results can be performed in the same analysis script using the immensely powerful Julia programming language.


  • Designed to be useful and accessible to working engineers.
  • Accommodates planar FSS/PSS surfaces with no limits to number of dielectric layers or FSS/PSS sheets.
  • Automatically chooses number of modes needed for cascading multiple FSS/PSS sheets using generalized scattering matrices (GSMs).
  • Supports (approximate) cascading multiple sheets of different periodicities, as in a multilayer meanderline polarizer.
  • Simple specification of geometry to be analyzed.
  • Solution of mixed-potential integral equation using Rao-Wilton-Glisson triangle subdomain basis functions and multi-threaded method of moments.
  • Fast analysis for frequency sweeps using an extremely robust rational function interpolation algorithm.
  • Automatic triangulation of sheet geometries to user-specified number of triangles.
  • Exploits redundancies inherent in structured meshes for greater numerical efficiency.
  • Easy extraction of useful engineering performance parameters, including
    • Reflection and transmission coefficient magnitudes and/or phases or complex coefficients for the field components of
      • TE/TM
      • Vertical/horizontal (Ludwig 3)
      • LHCP/RHCP (circular polarization)
    • Delta insertion phase delay (ΔIPD)
    • Delta insertion loss (ΔIL)
    • Axial ratio


  • Only zero-thickness FSS/PSS sheets are currently supported.
  • Frequency sweeps are fastest for normal incidence or for the case where unit cell incremental phase shifts ψ₁ and ψ₂ are constant with frequency (as in a waveguide). This is due to the use of a wide-band expansion of the potential Green's functions for a stratified medium with quasi-periodic excitation. Frequency sweeps for non-normal angle of incidence are typically slower. However, as of PSSFSS version 1.1, all frequency sweeps are now much faster, often by more than an order of magnitude, compared to previous versions. The speedup is due to the use of a fast interpolated sweep by default.


  • Version 1.1: A highly reliable fast sweep is now the default, resulting in order-of-magnitude speedups.
  • Version 1.2: Sheet resistance has been replaced by a possibly complex sheet impedance. Also, sheet conductivity and surface roughness may now be specified.
  • Version 1.3: loadedcross, jerusalemcross, and 4-sided polyring elements are now triangulated using a structured mesh, by default, resulting in reduced execution times. To obtain the old, unstructured mesh on these elements, specify structuredtri = false in the constructor argument list.
  • Version 1.4: New, chiral manji element added.
  • Version 1.5: sinuous element added.
  • Version 1.6: Added export_sheet for exporting RWGSheet triangulations to STL-format CAD files.


You can obtain PSSFSS using Julia's Pkg REPL-mode (hitting ] as the first character at the command prompt):

(@v1.8) pkg> add PSSFSS

(and then hitting <Backspace> to return to the REPL) or with import Pkg; Pkg.add("PSSFSS").


  • The theory documentation is here
  • The user manual is here
  • If you prefer interactive documentation using Jupyter notebooks, the user documentation in the form of notebooks is here


Help from the community is actively sought and greatly appreciated! There are several open issues which you might want to tackle, and the documentation could always be improved. Pull requests are welcome. Feel free to open more issues, whether for basic capability, performance, examples, documentation, etc.