Gauss 2D Electromagnetic Field Solver (Gauss 2D)

Avishtech's Gauss electromagnetic solver is a cutting-edge, state-of-the-art 2D electromagnetic field solver that allows a user to extract RLGC properties, effective dielectric properties, and electric potentials and fields from a transmission line geometry. Gauss features an extensive set of geometries and special cases to allow a user to model virtually any transmission line and obtain the most accurate and detailed data related to the electromagnetic behavior. With industry-leading granularity, control, and accuracy, all at an unparalleled value, Gauss 2D is the logical choice for your modeling and simulation needs.

Gauss 2D is a Finite Difference method based electromagnetic field solver and is the industry leading 2D field solver for transmission lines. By using advanced numerical methods to accelerate the approach, as well as implementing high order differentiation and integration schemes, we have developed an extremely accurate, reasonably fast, reasonably low memory 2D field solver for transmission lines. We calculate effective Dk/DFs, provide impedance values, RLGC, surface and contour plots of potentials and e-fields, all in a simple, very easy-to-use multithreaded, no-bloat desktop application interface. There is virtually no learning curve. Just download, install, and get started. We make it very easy to produce reports, plots for presentations, and perform all necessary data analysis. Easy enough for a student new to the field, and sophisticated enough for the industry expert, developing the highest end designs.

Gauss is unique in that it offers:

  • A Finite Difference method based approach, resulting in industry leading accuracy. Boundary Element Methods (BEM) may be suitable for open problems, and FEM and lower order FD methods tend to be harder to use and accuracy is a function of user expertise. Gauss surpasses these methods, as it uses higher order differentiation and integration techniques.

  • Ease of Use. Where FEM-based methods require expertise and sizeable investments in time and effort to set up even a basic problem, and BEM has limitations with visualization and modeling of finite-thickness geometries, Gauss allows a user to set up a problem in seconds and the software takes care of all of the complexity.

Simulate a wide array of microstrip, stripline, coplanar waveguide, and multiconductor transmission line geometric configurations!

Trapezoidal Shielded Microstrip with Solder Mask
Trapezoidal Stripline
Rectangular Asymmetric Differential Stripline
Trapezoidal Asymmetric Stripline
Rectangular Embedded Differential Microstrip
Rectangular Microstrip
Rectangular Shielded Microstrip
Trapezoidal Embedded Microstrip
Rectangular Differential Stripline
Trapezoidal Differential Microstrip
Rectangular Differential Microstrip
Rectangular Stripline
Rectangular Asymmetric Shielded Stripline
Trapezoidal Differential Shielded Stripline

Key Features of Gauss 2D Electromagnetic Field Solver

With Avishtech's Gauss 2D, you not only get an extremely accurate and easy-to-use electromangetic field solver, but also simulation software that is rich and feature-packed. Some key features are:

  • Dielectric Anistropy: our 2D field solver allows you to input dielectric properties in both parallel and perpendicular directions, and, additionally, calculates effective dielectric properties based on these values and the transmission line geometry

  • Copper Roughness: Gauss 2D provides higher accuracy to your outputs by accounting for the copper thickness and roughness profile in your choice of Huray, Causal-Huray and Hammerstad models.

  • Solder Mask: while many 2D field solvers are unable to account for the effects of solder mask, Gauss 2D provides a highly accurate cacluation that takes solder mask thickness and dielectric properties into account by treating a conformal layer on top of the trace.

  • Wide Array of Geometries: in FEM based field solvers, you have to build the geometry and discretize it yourself, which is a time-consuming challenge. In our FD-based field solver, through our easy-to-use interface, you can select your geometry through a series of radio button options. Gauss 2D allows you to solve for Microstrip, Stripline, and Coplanar waveguide geometries, and select between single ended vs differential (edge-coupled), rectangular vs trapezoidal traces, isotropic vs anistopric dielectric properties, solder mask vs embedded vs no dielectric above trace (for Microstrip and CPW), open vs shielded, and symmetric vs asymmetric (for Stripline) configurations.

  • Multiconductor: in addition to the above mentioned geometric configurations, in our 2D field solver, you can simulate multiconductor transmission lines for both microstrip and stripline geometries, with all of the same configuration options, in addition to the selection of number of conductors.

  • All Relevant Output Behavior and Properties: in addition to the effective dielectric properties (as mentioned above), Gauss 2D provides all relevant insights into the electromagnetic behavior that you would hope to see from a 2D field solver of the simulated transmission line, including full RLGC (not just impedance), propagation delay, and dielectric and conductor loss.

  • Visualization of Electric Potential and Fields: Gauss 2D also outputs contour plots of the electric potential and electric fields in both the x and y directions. This visualization allows the user an instantaneous sanity check into the convergence of the solution and that the conducted simulation was of the intended geometric configuration. Beyond this, these plots allow the user to obtain several key insights into the behavior of the fields. BEM-based field solvers do not output this information, due to the nature of their approximations not allowing spatial granularity, and FEM-based field solvers, even if they provide this, generally rely on the user to construct these from raw data.

  • Impedance Target Synthesis: a particularly unique feature among 2D electromagnetic field solvers, Gauss 2D allows you to invert the problem: rather than provide all of the geometric configuration inputs and solving for impedance, you can use "Synthesis" mode to calculate the trace width that would correspond to a target impedance.

  • Easy Export of Data: Should you wish to store the data elsewhere or play around with it using an analysis tool, Gauss 2D allows for easy export to Excel or .csv formats, which can then be imported to your favorite plotting or analysis software environment.

  • Frequency Dependent Properties: Gauss 2D allows for extrapolation of key output properties across a broadband frequency range, inside our frequency extrapolation environment. These data can provide deeper insights into how your transmission line would behave across the frequency spectrum and can also be exported to Excel or .csv format for further analysis elsewhere.

  • Adjustable Mesh Size and Iteration Count: unlike BEM-based field solvers, we provide you flexibility in the balance between how computationally demanding and how accurate your simulation is. While FEM-based field solvers allow this flexibility, too, Gauss 2D does not require you to manually apply the meshing or set the iteration count. In our tool, you can simply adjust the mesh size slider from fine to finest and the iteration count slider from min to max. While the minimum settings should result in a highly accurate solution for the majority of use cases, sometimes you may wish to seek higher accuracy, and a simple mouse click enables this option.

  • Multiple Dielectrics: Gauss 2D allows you to introduce two dissimilar dielectrics both above and below the trace (in addition to a solder mask or embedded configuration for microstrip or coplanar waveguide). This allows higher flexibility in building a transmission line that accurately models your actual designs.

With all these features and more, all packed into the industry's leading 2D electromagnetic field solver, Gauss 2D is the clear choice for your PCB design and simulation needs.

Why a 2D Electromagnetic Field Solver?

You may be wondering why you would need a 2D electromagnetic field solver, in the first place. Simply put, if you want the most accurate data informing your printed circuit board transmission line design, you need a field solver (and, of course, we would argue, as above, that Gauss 2D is the obvious choice). Let's explore a bit more in-depth, though, what a field solver does for you, what your alternatives are, and why a field solver is a better choice.

It is of utmost importance to accurately model the impedance of a transmission line to allow for proper design of board layouts and stackups, as impedance mismatch leads to low efficiency and degraded performance. However, the experimental approach is very complicated and expensive and cannot give necessary granularity to understand local phenomena, so the only feasible option is to use computational approaches. These include:

  • Empirical equations. These are inaccurate outside a narrow window of applicability.

  • Analytical approaches. These have a very narrow window of applicability and require significant work by the user to arrive at a result.

  • 2D Field Solvers. These are the only way to get reliable, accurate results for a very wide range of inputs

While the empirical equations or analytical approaches may be sufficient in non-industrial settings, only a field solver can provide the level of accuracy needed for industrial or manufacturing applications. The use of a 2D electromagnetic field solver can streamline the design process and allow for more robust, reliable, and higher performing PCB designs, with less overall investment, both in terms of time and money.


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