PSSFSS - Analysis of polarization and frequency selective surfaces in Julia
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PSSFSS is a Julia package (Python users should check out pyPSSFSS) for analyzing or designing planar metasurfaces,
polarization selective surfaces (PSSs), frequency selective surfaces (FSSs),
reflectarray elements,
radomes, and similar structures. Based on a rigorous periodic moment method (PMM) analysis method,
it has been extensively validated against analytical, measured, and computed results from commercial electromagnetic solvers.
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.
Features
- Designed to be useful and accessible to working engineers.
- Many example analysis scripts are provided in the extensive user manual.
- 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
- Analysis results can be exported to TICRA-compatible TEP (tabulated electrical properties) files.
Limitations
- 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.
News
- 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 FSS/PSS sheets to STL-format CAD files.
- Version 1.7: Function
extract_result_file is deprecated in favor of a new method for extract_result.
- Version 1.8: Improved multi-threading in matrix fill functions.
- Version 1.9: Added
orient keyword to rectstrip, allowing geometry rotation within the stationary unit cell.
- Version 1.10: New
res2tep function allows saving results in the form of a TICRA-compatible TEP
(tabulated electrical properties) file.
- Version 1.11: New
res2fresnel function allows saving results in the form of an HFSS SBR+ Fresnel table.
- Version 1.12: Added
pixels and sympixels elements.
- Version 1.13: Added
write_sheet_data function.
- Version 1.14: Additional built-in frequency and length units (THz, kHz, micron, μm), and support for any Unitful length or frequency quantities.
- Version 1.14.1 and 1.14.2: Corrected longstanding bug in translating an element’s location. Thanks to JoelKartchner for this fix.
Installation
You can obtain and install 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
using Pkg: Pkg
Pkg.add("PSSFSS")
Documentation
- The theory documentation is here
- The user manual is here
Citing PSSFSS
If you use PSSFSS for a scientific publication, please cite the 2024
ACES Journal paper in the following way:
P. S. Simon, “PSSFSS—An Open-source Code for Analysis of Polarization and Frequency Selective Surfaces”, ACES Journal, vol. 39, no. 02, pp. 139–148, Feb. 2024.
or use this BibTeX entry:
@article{simo:24,
title={{PSSFSS}---An Open-source Code for Analysis of Polarization and Frequency Selective Surfaces},
volume={39},
url={https://journals.riverpublishers.com/index.php/ACES/article/view/22443},
DOI={https://doi.org/10.13052/2024.ACES.J.390207},
number={02},
journal={The Applied Computational Electromagnetics Society Journal (ACES)},
author={Simon, Peter S.},
year={2024},
month={feb},
pages={139--148}
}
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.
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