Examples

With BeamLab you can solve a wide range of different beam propagation and waveguide analysis problems. Here you can find a few selected examples. In BeamLab’s demos directory you can find these and additional examples.

Beam Propagation Toolbox

Mode Solver Toolbox

Additional Examples Included in BeamLab

  • Fiber Optics

Graded-index Waveguide (Full-vectorial BPM)

Full-vectorial beam propagation in a multi-mode circular graded-index waveguide

Self-imaging in a graded-index waveguide

Self-imaging in a graded-index multimode fiber

Endlessly Single-mode Photonic Crystal Fiber

Eigenmode calculation of an endlessly single-mode photonic crystal fiber

Twisted Waveguide

Beam propagation in an anisotropic twisted waveguide


Photonic Crystal Modes

Eigenmode calculation of a periodic photonic crystal

Fiber Taper

Mode size conversion by means of a taper

Fiber Collimator

Beam propagation between two fiber collimators

Fiber Coupling Efficiency

Coupling efficiencies of a laterally offset Gaussian beam to the three lowest-order modes of a multimode fiber

Fiber Loop

Beam propagation through a fiber loop

Fiber Bend Modes

Eigenmode calculation of an optical fiber with a bend

Fiber Bend Loss

Calculation of the propagation loss in a bent fiber

  • Couplers

Multimode Interference Coupler (2D)

Beam propagation in a 2D MMI coupler

Parameter Sweep of Multimode Interference Coupler (2D)

Beam propagation in a 2D MMI coupler with parameter sweep

Optimization of Multimode Interference Coupler (2D)

Beam propagation in a 2D MMI coupler with optimization

Tapered Coupler

Beam propagation in a tapered mode-selective coupler

  • Planar Waveguides

RGB Beam Combiner

Beam propagation in an integrated silica RGB beam combiner

Mach Zehnder Interferometer

Beam propagation in a Mach-Zehnder modulator

Rib Waveguide Splitter

Beam propagation in a polymer rib waveguide splitter

Rib Waveguide Modes with Nonuniform Grid

Eigenmode calculation of a rib waveguide using a nonuniform grid

Slot Waveguide Bend Modes

Eigenmode calculation of a slot waveguide with a bend

Slab Waveguide Modes (2D)

Eigenmode calculation of a two-dimensional slab waveguide

Total Internal Reflection

Beam propagation of two Gaussian beams in a thick slab waveguide demonstrating total internal reflection

  • Freespace Optics

Freespace Beam Propagation

Propagation of a Gaussian beam in free space

Freespace Beam Propagation with Collimating Lens

Collimation of a diverging Gaussian beam by an ideal lens

Ball lens

Propagation of a Gaussian beam through a ball lens

Freespace Beam Propagation with Vortex

Transformation of a Gaussian beam to a helically phased beam and back to a Gaussian beam

Freespace Beam Propagation with Multiple Slits (2D)

Propagation of a Gaussian beam through multiple slits

Freespace Beam Propagation with Grating (2D)

Propagation of Gaussian beam through a sinusoidal grating

Ronchi grating

Propagation of a Gaussian beam through a Ronchi grating

Quarter-wave Plate

Propagation of a Gaussian beam with circular polarization through a quarter-wave plate

Freespace Beam Propagation with Prisms

Deflection of a Gaussian beam by several ideal prisms

Three Beam Interference

Propagation of three Gaussian beams in free space

Non-interfering Beams

Propagation of two orthogonally polarized Gaussian beams in free space

Polarization Converter

Conversion of orthogonal polarized beams to parallel polarized beams

Talbot Effect

Beam propagation in freespace demonstrating the Talbot effect

  • Imaging

Imaging Through a Single Lens

Imaging of an object through a single lens with magnification M

Imaging Through a Single Lens with Aberrations

Imaging of an object through a single lens with aberrations defined via a Zernike phase screen

Imaging Through a 4f Optical System

Imaging of an object through a 4f optical system with different filter types

Imaging Based on the Principle of Phase Contrast Microscopy

Imaging of a pure phase object through a 4f optical system using the principle of phase contrast microscopy

  • Mode Converters

Photonic Lantern

Beam propagation in a photonic lantern with vanishing cores

Multicore Fiber with Index Trench

Beam propagation in a multicore fiber surrounded by an index trench