FMM Mathematical Software
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Optical Design Tools
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| FMMPART3D™
A 3D Particle Code Version 1.0 - Trial release
now available at no charge until May, 2004!
General Description:
FMMPART3D is a FORTRAN subroutine that uses the Fast Multipole
Method (FMM) to rapidly evaluate the Coulombic particle sum,
where the qj are particle charges and the pjare
dipole moments. This is a core problem for many technical areas,
including electrostatics, magnetostatics, incompressible flow,
astrophysics, and chemistry.
FMMPART3D is available as a FORTRAN callable library, for both
Windows and Linux.
More Information about
the FMMPART3D
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| FMM Toolbox™
for MATLAB®
2D Toolbox Version 1.0 - Full release now available
at no charge!
General Description:
The FMM Toolbox v1.0 provides a powerful set of algorithms for
the MATLAB® environment. Underlying our approach is a set
of optimized Fast Multipole Methods (FMMs), coupled to high-order,
black-box quadrature and interpolation tools. The FMM Toolbox
focuses on providing robust, fast, and high-order accurate solvers
for a core set of partial differential equations - including the
Laplace, Poisson and modified Helmholtz equations. These arise
throughout classical and modern physics, in areas such as electrostatics,
magnetostatics, incompressible flow, astrophsyics, and computational
chemistry.
Our solvers are flexible, easy to use, and easy to integrate
into your software. All we need is the data defining the problem
- you get the solution at any set of locations you choose. No
grid generation is required, saving you both time and effort.
More Information
about the FMM Toolbox
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System
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MadMax HALO
Microstructured Optical Fiber Mode
Solver
Under development
General Description:
HALO is an advanced, easy-to-use simulation tool for the analysis
and design of micro-structured fibers. The design of micro-structured
fibers has been impeded by the lack of dependable methods for calculating
the propagating modes. HALO utilizes highly accurate Fast Multipole
Methods (FMMs) in order to achieve errors of one part in a million
with modest computational effort. The results are obtained faster
and more easily than with existing methods. The designer can work
with hole structures of unlimited geometric complexity with confidence
that the resulting calculations are resolved solutions of the full
set of Maxwell equations.
The graphical user interface is flexible and powerful. You can import
the cross-section of micro-structured fiber from a simple ASCII
file format, use a variety of drawing tools and "wizards"
in our graphical user interface, or modify a sample from our internal
library.
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MadMax HALO
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MadMax LUNA
2D Photonic Crysal Component Design
v1.0
Under development
General Description:
MadMax LUNA is a state-of-the-art, easy-to-use simulation tool
for the design and analysis of 2D photonic crystal-based optical
components. LUNA is based on a full solver for Maxwell's equations
in the frequency-domain and uses highly accurate Fast Multipole
Methods (FMMs). Errors of one part in a million are obtained with
modest computational effort. Unlike the finite difference time domain
(FDTD) techniques in current use, no artificial boundary conditions
are required and there is no numerical dispersion introduced by
a computational grid.
MadMax LUNA accepts either TE or TM polarized sources and returns
a complete analysis of the electromagnetic field. Transmission,
reflection and loss properties are easily obtained.
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MadMax LUNA
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MadMax AURA
Fiber Bragg Grating Solver v1.0
Under
development
General Description:
AURA is an advanced, easy-to-use simulation tool for the design
and analysis of fiber grating structures. AURA is based on a full
Maxwell equation solver, rather than on coupled mode theory or other
approximation tools. Utilizing highly accurate algorithms,including
the Fast Multipole Method, errors of one part in a million are obtained
with modest computational effort — even for quantities such
as return loss and radiation loss. Given a frequency interval of
interest, AURA returns transmission loss, reflection, and radiation
spectra.
More Information about
MadMax AURA
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For information on becoming a beta partner, please contact partners@madmaxoptics.com
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