Exciting SiIO.eu! Simulations in Integrated Optics — a Collection of Online Resources
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OMS

OMS - 1D multilayer slab waveguide mode solver - Online! A mode solver for optical dielectric multilayer slab waveguides with 1D cross sections. For a waveguide defined in terms of refractive indices, layer thicknesses, and a given vacuum wavelength, the script calculates the propagation constants / effective indices of guided modes and allows to inspect the corresponding optical field patterns. Facilities for evaluating simple parameter scans (modal dispersion properties) are provided. The solver is intended as a basic tool for integrated optics design, in particular for purposes of demonstration.

EIMS

EIMS - 2D effective index mode solver - Online! An approximate, semi-analytic mode solver for dielectric integrated optical waveguides with two-dimensional light confinement and weak lateral guiding. Multilayer step-index waveguides with rectangular, piecewise constant refractive index profiles are addressed. For a waveguide configuration specified in terms of refractive indices, layer thicknesses, slice widths, and the vacuum wavelength, the script calculates the propagation constants / effective indices of guided modes and allows to inspect the corresponding optical field patterns. It is intended as a basic tool for integrated optics design, in particular for purposes of demonstration. Note the remarks on the variant of the effective-index approximation the mode solver relies on.

WMMS

WMMS - Wave matching mode solver for waveguides with 2D rectangular cross sections - Online! Vectorial or semi-vectorial mode analysis of dielectric integrated optical waveguides with two-dimensional light confinement. Multilayer step-index waveguides with rectangular, piecewise constant refractive index profiles are addressed. For a waveguide configuration specified in terms of refractive indices, layer thicknesses, slice widths, and the vacuum wavelength, the online script calculates the propagation constants / effective indices of guided modes and allows to inspect the corresponding optical field patterns. Implementing the wave matching method (WMM), the quasi-analytical solver relies on expansions of the modal fields into locally exact separable solutions of the mode equations, applied piecewise on the rectangular regions that constitute the waveguide cross section.

PlasS

PlasS - Mode solver for complex optical multilayer step-index slab waveguides - Online! An analytic solver for the 1-D eigenmodes of optical multilayer step-index slab waveguides made from media with in general complex refractive index and complex permittivity. Given a potentially guiding configuration in terms of refractive index and/or permittivity, layer thicknesses, if applicable, and the vacuum wavelength, the script calculates the complex effective indices of the modes supported by the structure, or their phase propagation and attenuation constants, respectively, and allows to inspect the corresponding optical field patterns. Bound and leaky modes of structures with loss or gain can be identified, as well as the bound solutions related to the propagation of surface-plasmon-polaritons (SPPs) along metal-dielectric interfaces.

TFLNS

TFLNS - Mode solver for three-layer thin film lithium niobate slab waveguides - Online! A quasianalytic mode solver for three-layer anisotropic thin film lithium niobate (TFLN) or lithium niobate on insulator (LNOI) slabs in X-cut or Z-cut configuration. The script calculates potentially direction-dependent effective indices and electromagnetic profiles of guided modes. Facilities for in-depth inspection of the vectorial mode fields, and for the convenient evaluation of dispersion curves, are provided.

FiMS

FiMS - Modes of circular multi-step index optical fibers - Online solver! An online solver for the guided modes supported by circular dielectric optical fibers with radially piecewise constant refractive index profiles. For a fiber problem defined in terms of vacuum wavelength, core radius, refractive indices, and thicknesses of intermediate layers, the script calculates the effective mode indices and propagation constants of the vectorial, hybrid guided modes supported by the fiber. TE- and TM-modes can be identified, as well as orbital-angular-momentum (OAM) modes of different angular and radial orders; modes of EH- and HE-type are found as superpositions of the latter. Facilities for detailed inspection of the mode profiles, and for exporting data and figures, are provided.

MuLS

MuLS - Plane wave reflection at dielectric multilayers - Online solver! A solver for problems of plane wave reflection from dielectric multilayer systems at oblique incidence. Given the stack definition in terms of refractive indices, layer thicknesses, vacuum wavelength, and the angle of incidence, the script calculates reflectance and transmittance properties for s- and p-polarized waves, and allows to inspect the optical field profiles. Facilities for evaluating parameter scans / spectra are available. The script can serve as a basic tool for the design of dielectric multilayer coatings / reflectors / filters, in particular for purposes of demonstration.

BendS

BendS -  1-D mode solver for slab waveguide bends - Online! A mode solver for bent integrated optical multilayer slab waveguides and curved dielectric interfaces with 1-D cross sections. For a bend configuration defined in terms of bend radius, refractive indices, layer thicknesses, if applicable, and the vacuum wavelength, the script calculates the complex effective indices of the leaky modes supported by the bend, or their phase propagation and attenuation constants, respectively, and allows to inspect the corresponding bend mode profiles. Optical field patterns associated with the bend mode propagation can be visualized directly.

WGMs

WGMs - Whispering gallery mode solver - Online! An online solver for the whispering gallery resonances of microdisks, microrings, or more general circular 2-D dielectric multilayer cavities in integrated optics / photonics. Following the structure definition in terms of cavity radius, refractive indices, and layer thicknesses, if applicable, and the specification of a target vacuum wavelength or of an interval of potential resonance wavelengths, the script calculates the complex angular eigenfrequencies of the (leaky) whispering gallery modes supported by the cavity, and their resonance wavelengths and linewidths, resonance frequencies, cavity lifetimes, and quality (Q-) factors, respectively. Facilities for detailed inspection of the corresponding mode profiles and resonant field patterns, and for exporting data and figures, are provided.

QuEPS

QuEPS - 2-D frequency domain solver for rectangular optical guided-wave scattering problems - Online! A frequency domain solver for 2-D rectangular optical guided-wave scattering problems. The scalar polarized 2-D Helmholtz equations are addressed, on a rectangular computational domain with transparent boundary conditions that permit guided wave in- and outflux. Given a problem specification in terms of interface positions, a matrix of refractive index values, polarization and wavelength parameters, and guided wave input, the script determines modal output amplitudes (elements of the scattering matrices), and the power levels associated with guided and nonguided directional outgoing waves (transmittances / reflectances, power balance). Facilities for detailed inspection of the optical electromagnetic field are provided, including animations of the harmonic oscillations in time, with options for exporting figures and data.

Epsilon

Permittivity tensor and optical wave, schematically Linear anisotropic media are considered from a viewpoint of not necessarily crystal-aligned external device coordinates. The script calculates optical axes and effective refractive index eigenvalues associated with a general optical permittivity, and provides controls for arbitrary 3-D rotations of the tensor. Facilities for the rudimentary illustration of the wave propagation through the oriented crystalline medium are available.

WaFE

Wavelength / frequency / energy equivalents Conversion between quantities that characterize the propagation of harmonic electromagnetic waves in vacuum. This concerns wavelength, wavenumber, spectroscopic wavenumber, frequency, angular frequency, time period, and photon energy, (mostly) in SI units.

Fig3

A 3D pyramid A simple drawing tool for the programmatic generation of 3D figures, on the basis of the Three.js library and standard Javascript code. Emphasis is on schematics and line drawings with partly transparent solids, of modest complexity, and accompanied by annotations and labels, as seen frequently in more technical scientific articles. Images are exported in vector format.

Plot-It

Plot-It An online function and data plotter. Features: graphs of functions of one variable, data curves, parametrized functions, families of functions, cubic spline interpolation, linear regression; export to svg-images, aims at a close-to-scientific appearance of the figures.

Teval

Term evaluation A script that can evaluate simple C-style expressions. The program knows about the numerical values of some common physical constants, hence it is in particular useful for a certain class of basic exercises in physics courses ...

Metric

Metric - Mode expansion tool for rectangular integrated optical circuits Tools for semianalytic modeling in integrated optics / photonics, simulations of configurations with rectangular refractive index distributions. Includes a mode solver engine for dielectric multilayer slab waveguides, and solvers for scalar and vectorial guided-wave Helmholtz (-scattering) problems based on spectral discretizations along one (BEP: bidirectional eigenmode propagation) or two coordinate axes (QUEP: quadridirectional eigenmode propagation). Extensions concern the angled propagation of plane waves across dielectric multilayer stacks, conventional and hybrid analytical/numerical variants of coupled mode theory, a 2-to-1D effective index treatment of 2D scattering problems, a variational effective-index-like mode solver for 3D channels (with 2D cross sections), the computation of Floquet-Bloch-modes for rectangular periodic structures in 2D, and solvers for the bend modes of curved slab structures, the whispering gallery modes supported by 2-D circular multilayer dielectric cavities, the guided modes of circular multi-step-index optical fibers, and the bound and leaky modes of multilayer structures with complex permittivity, including surface-plasmon-polaritons (SPPs). A series of application examples, embedded in the html manual, complements the downloadable, commented C++ sources.

WMM

WMM mode solver A quasianalytic mode solver for rectangular dielectric integrated optical waveguide channels (3D configurations with 2D cross sections). Besides the actual procedures for guided mode analysis, the programs provide facilities for the evaluation of perturbational expressions, and an implementation of coupled mode theory. The html manual includes the downloadable, commented C++ sources, accompanied by several application examples.