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Meep is a free and open-source software package for electromagnetics simulation via the finite-difference time-domain (FDTD) method.

• Free and open-source software under the GNU GPL.
• Complete scriptability via Python, Scheme, or C++ APIs.
• Simulation in 1d, 2d, 3d, and cylindrical coordinates.
• Distributed memory parallelism on any system supporting MPI.
• Portable to any Unix-like operating system such as Linux, macOS, and FreeBSD.
• Precompiled binary packages of official releases and nightly builds via Conda.
• Arbitrary anisotropic electric permittivity ε and magnetic permeability μ, along with dispersive ε(ω) and μ(ω) including loss/gain, nonlinear (Kerr & Pockels) dielectric and magnetic materials, electric/magnetic conductivities σ, and saturable gain/absorption..
• Perfectly-matched layer (PML) absorbing boundaries as well as Bloch-periodic and perfect-conductor boundary conditions.
• Exploitation of symmetries to reduce the computation size, including even/odd mirror planes and 90°/180° rotations.
• Arbitrary current sources including a guided-mode launcher.
• Frequency-domain solver for finding the response to a continuous-wave (CW) source.
• ε/μ and field import/export in the HDF5 data format.
• GDSII file import for planar geometries.
• Materials library containing predefined broadband, complex refractive indices.
• Field analyses including Poynting flux, mode decomposition, near to far transformations, frequency extraction, local density of states (LDOS), modal volume, Maxwell stress tensor, arbitrary functions; completely programmable.

We kindly request that you cite the following paper in any published work for which you used Meep:

• A.F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J.D. Joannopoulos, and S.G. Johnson, MEEP: A flexible free-software package for electromagnetic simulations by the FDTD method, Computer Physics Communications, Vol. 181, pp. 687-702, 2010 (pdf).

See the manual on readthedocs for the latest documentation.