Numerical examples are a powerful tool for illustrating complex concepts and principles in various fields. They provide a concrete and tangible way to demonstrate theoretical ideas, making them easier to understand and apply in practical situations. By using numerical examples, learners can develop problem-solving skills, improve their understanding of complex concepts, and enhance their retention of information. As such, numerical examples are an essential part of learning and teaching in mathematics, physics, engineering, economics, and other disciplines.
There are several types of numerical examples, including: lumerical examples
For devices that rely on light propagation over longer distances, such as waveguides and couplers, Lumerical MODE is the primary tool. Numerical examples are a powerful tool for illustrating
$$ \beginaligned 2x + 3y - z &= 5 \ -7y/2 + 9z/2 &= -9/2 \ z &= 5 \endaligned $$ As such, numerical examples are an essential part
✅ – no need to build from scratch ✅ Best-practice settings – mesh, boundary conditions, monitors ✅ Parameter sweeps & optimization included (e.g., sweep over wavelength or radius) ✅ Scripted analysis – built-in MATLAB/Python/automation scripts for Q factor, transmission, etc. ✅ Cross-solver coupling – e.g., FDTD + HEAT + CHARGE in one example