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Tutorials and Examples

Meep simulations are Python scripts which involve specifying the device geometry, materials, current sources, monitor fields, and everything else necessary to set up a calculation. A Python script provides the flexibility to customize the simulation for practically any application particularly those involving parameter sweeps and optimization.

Python libraries such as NumPy, SciPy, and Matplotlib can be used to augment the simulation functionality and will also be demonstrated. Much of the functionality of the low-level C++ interface has been abstracted in Python which means that you don't need to be an experienced programmer to set up simulations. Reasonable defaults are available where necessary.

Several tutorials and examples are found here. These tutorials are meant to illustrate Meep's various features in an interactive and application-oriented manner.

iPython/Jupyter Notebooks

Jupyter notebooks are interactive, browser based framework for displaying text, running python code, and visualizing results. There are several ways to read these notebooks online:

Local

The recommended method to run the tutorial notebooks is by 1.) installing meep via conda, 2.) cloning this repo to your local drive, and 3.) launch a notebook server in this directory using jupyter notebook.

nbviewer

nbviewer is a web platform that can render interactive features found inside Jupyter notebooks openly stored on web-servers. While nbviewer can't run python code, it can execute stored javascript code used to animate the simulations.

GitHub

GitHub is able to render some of the smaller notebooks as plain text. However, they are not interactive and are often too large for GitHub.

Tutorials

Below are summaries for each tutorial, along with the features the tutorials highlight. While there is no particular order to the tutorials, they progressively incorporate more complicated features.

Basics

  • straight-waveguide.ipynb - A simple 2D straight waveguide tutorial that explores basic meep features like geometry, sources, and PML layers. The tutorial also explores basic visualization and animation features.

  • bent-waveguide.ipynb- A followup to the 2D straight waveguide tutorial by adding a bend.

  • bend-flux.ipynb- Using the previous bent waveguide example, this tutorial calculates the loss, transmission, and reflection that the bent waveguide undergoes.

  • ring.ipynb - Computes the resonant mode frequencies of a 2D ring resonator using harminv.

Ring Resonator in Cylindrical Coordinates

Band Diagram, Resonant Modes, and Transmission of a Waveguide Cavity

  • holey-wg-cavity.ipynb - Calculates the transmission and resonant modes of a waveguide photonic crystal cavity. Demonstrates the harminv routines and how to estimate the $Q$ of cavities.

  • holey-wg-bands.ipynb - Computes the band diagram of the infinite periodic waveguide by itself with no defects in the time domain. Explores the k_point, run_k_point, and periodic boundary conditions features.

MPB and Band diagrams

  • mpb_strip.ipynb -

Eigenmode Source

  • oblique-source.ipynb - Launches straight and oblique sources within a silicon photonic strip waveguide and measures the flux using the eigenmode decomposition feature at an arbitrary angle. Explores features like EigenModeSource, the geometry rotate function, get_eigenmode_coefficients, and k vectors that point in arbitrary directions.

  • oblique-planewave.ipynb - Launches a planewave in a homogenous medium using the EigenModeSource. Explores Bloch-periodic boundaries via the k_point.

Mode Decomposition

  • mode-decomposition.ipynb - Computes the reflectance and fundamental mode of a linear waveguide taper. Explores features like EigenModeSource, get_eigenmode_coefficients, eig_parity, and how to extract S Parameters.

  • binary_grating.ipynb - Computes the diffraction orders of a periodic grating in fuzed quartz as a function of wavelength. Explores planewave sources using EigenModeSource, get_eigenmode_coefficients with a specified polarization constraint, mode decomposition using materials with dispersion, Bloch-periodic boundaries via the k_point parameter, and how to compute diffraction angles from mode coefficients.

  • binary_grating_oblique.ipynb - Computes the diffraction orders of a periodic grating when a planewave is launched at an arbitrary angle. Explores user defined source profiles via amp_func, and compares the frequency domain solver solve_cw to the time domain solutions.

  • binary_grating_phasemap.ipynb -

  • polarization_grating.ipynb -

Material Dispersion

  • refl-quartz.ipynb -

Nonlinear Optics

  • 3rd-harm-1d.ipynb - Examines 3rd harmonic generation in a $\chi^{(3)}$ material. Explores the proper way to do 1d simulations, how to include nonlinearities in materials, and compares experimental results to theory.

Near to Far Field Spectra

  • antenna-radiation.ipynb - Computes the radiation pattern of a simple point source "antenna". Explores add_near2far, add_flux, get_fluxes, and get_farfield features.

  • metasurface_lens.ipynb -

  • binary_grating_n2f.ipynb -

  • cavity-farfield.ipynb -

Local Density of States

Optical Forces

Gyrotropic Media

Multilevel-Atomic Susceptibility

Frequency Domain Solver

  • solve-cw.ipynb -

GDSII Import

Adjoint Solver