The beam propagation method bpm is a popular simulation technique for evaluating the evolution of optical fields in waveguides and photonic devices. Both bpm and the pe were first introduced in the 1970s. Separating variables fast fourier transform fftbpm fast fourier transform fftbpm fast fourier transform fftbpm fast fourier transform fftbpm fast. Beamlab consists of two toolboxes, the beam propagation toolbox and mode solver toolbox.
The beam propagation method college of optical sciences. Harris, applied numerical methods for engineers using matlab and c cengage learning, 1999, isbn. Finite differences beam propagation method in 3d, finite difference beam propagation method discover live editor create scripts with code, output, and formatted text in a single executable document. Algorithms are based on the scalar theory of diffraction. Beamprop is a fiber optic design software and beam propagation method software that use the finite difference beam propagation method for the design and. Finite difference beam propagation method fdbpm with perfectly matched layers. Finite difference beam propagation method fdbpm with perfectly. Lascad with beam propagation method bpm fast fourier transform algorithm propagates the beam in small steps through the laser crystal. It takes advantage of the fact that light in such devices predominantly propagates along a particular direction, e.
This lecture steps the student through the formulation and implementation of a basic finitedifference beam propagation method. The paraxial limitation was removed in the so called wideangle beam propagation methods wabpms. Enter your mobile number or email address below and well send you a link to download the free kindle app. Fdtd solver ac2d is a software to simulate acoustic wave propagation in two. Where to buy beam propagation software, manufacturers and. Contribute to bunpcbeampropagationmethod development by creating an account on github.
Certain software can be used for simulating the propagation of light beams e. This is used in a relatively new computational method called the beamenvelope method, which is a fullwave method with some of the characteristics of an approximat e method. Discussed in the literature since the 1940s and wellestablished in computational form since the mid1980s, gaussian beam decomposition is a powerful technique currently available in optical software packages from three mainstream commercial companies, who offer it as an alternative to the more traditional fourierbased propagation techniques for calculating the optical field in an optical system. Fimmprop is ideal for the modelling of optical propagation in structures with high refractiveindex contrast, commonly found in silicon photonics and iiiv integrated optics, for which approximate techniques such as the beam propagation method bpm would be inaccurate, and methods such as fdtd or fem would be extremely slow. Using finite element software to simulation fracture. An open source virtual laboratory for the schrodinger equation. A simple three dimensional wideangle beam propagation. Compared with a modebased approach, that has the advantage that beam propagation can be done even in the most complicated situations. Beam propagation method devang parekh 3204 ee290f outline what is it. The dynamic mode profile can be accurately estimated as the wave propagates through the wave guide.
Measuring the propagation parameters of a laser beam is an important method of understanding the quality of the laser beam and predicting its performance for various laser applications. This entry provides a simple paraxial beam propagation method bpm solver that utilizes the added gpu capability. Beam propagation method for design of optical waveguide. A cuda accelerated beam propagation method bpm solver. Practical, handson approach with applications in various. It features a full graphical user interface gui for preprocessing or postprocessing and uses the finite element method fem for plane frames for its analysis purposes. Beam propagation method for design of optical waveguide devices. Fft beam propagation method, finite differences beam propagation method in 3d discover live editor create scripts with code, output, and formatted text in a. It is essentially the same as the socalled parabolic equation pe method in underwater acoustics. This software running on windows and macos comes with a gui that permits to define with the aid of files or scripts the arbitrary and complex geometry of the waveguide. Beam propagation method the beam propagation method is a numerical way of determining the fields inside a waveguide. Software from rp photonics data grids for numerical beam. The applicability, accuracy and effectiveness of our method are demonstrated by applying it to simulations of wideangle beam propagation and comparing them with analytical solutions.
The finite difference beam propagation method, fdbpm 1 is widely accepted as the. Here wabpm focus on extending the range of applicable angle using high order pade approximation in the transverse direction. Pregla, molbpm method of lines based beam propagation method, methods for modeling and simulation of guidedwave optoelectronic devices, inw. A script is also provided that runs the bpm with standard matlab fourier transforms and the gpu implemented transforms. Beam propagation method bpm beam propagation method is a mathematical procedure used to study the evolution of electromagnetic. Since it is a timedomain method, fdtd solutions can cover a wide frequency range with a. Beam propagation method for design of optical waveguide devices 1st edition. Apply beam propagation method bpm to solve your problem. Lightmachinery releases third generation of online optical design software. When a wave propagates along a waveguide for a large distance larger compared with the wavelength. Originally developed for studyi ng the propagation of intense laser beams through. Finite differences beam propagation method in 3d file.
How to use the beam envelopes method for wave optics. The demands placed upon simulation software continue to increase. These methods include the socalled diffraction formulas, such as the fraunhofer, fresnelkirchhoff, and rayleighsommerfeld diffraction formula and the beam propagation method bpm, such as paraxial bpm and the angular spectrum method. Split step fourier propagation beam propagation method.
This takes into account the local refractive index distribution, the deformation of the crystal end faces and diffraction effects of intracavity optical elements, such as mirrors and lenses. For simulations in the area of optics and photonics e. Finite difference beam propagation method file exchange. Yee, born 1934 is a numerical analysis technique used for modeling computational electrodynamics finding approximate solutions to the associated system of differential equations. With this method, the mode profile of an unusual waveguides such as ycouplers can be determined with ease. The software has been commercially available since 1994, and is in use by leading researchers and development engineers in both university and industrial.
Beam propagation method how is beam propagation method. The beam propagation method bpm, originally derived from the paraxial fresnel approximation, has. For this reason, it is one of the major specifications required by laser users and reported by laser manufacturers. Beam propagation method bpm which allows to analyze the propation of light in volumetric elements, such as spheres, cylinders and other complex forms. Compared with a modebased approach, that has the advantage that beam propagation can be done even in the most complicated situations, where it would be hard to calculate the propagation modes for example due to their huge number making that. In comparison with bpm, the staircase concatenation method is a classical technique that has been utilized for the. The toolbox includes spectral, fftbased and finitedifference based propagation models. Finite difference beam propagation method fd bpm with perfectly matched layers we consider a planar waveguide where x and z are the transverse and propagation directions, respectively, and there is no variation in the y direction. Then you can start reading kindle books on your smartphone, tablet, or. Finitedifference timedomain or yees method named after the chinese american applied mathematician kane s. Modebased techniques and numerical beam propagation are very different technical methods for propagating optical fields.
Finite difference beam propagation method fdbpm with. Vcct and extended finite element method short for xfem have been utilized to simulate and analysis the fracture process of the threepoint bending beam with initial notch based on the finite element software platform abaqus version 6. Data grids for numerical beam propagation rp photonics. Fft fdm conclusion beam propagation method used to investigate linear and nonlinear phenomena in lightwave propagation helmholtzs equation bpm cont. There are several methods for stationary wave optics problems that can handle large models. Bpm yields the response of a given device to an external optical sigal, similar to in an experiment. The beam propagation method bpm is an approximation technique for simulating the propagation of light in slowly varying optical waveguides. Optical waveguide analysis using beam propagation method. Beam propagation method for waveguide device simulation. Matlab toolboxes implementing a beam propagation method bpm.
Huang ed,pier 11 in progress in electromagnetic research, emw publishing, cambridge, massachusetts, usa, pp. A beam propagation method bpm based on the finite element method fem is described for the analysis of both transverse electric te and transverse magnetic tm waves propagating in nonlinear. Katsunari okamoto, in fundamentals of optical waveguides second edition, 2006. The beam propagation method bpm, originally derived from the paraxial fresnel approximation, has been widely used to study optoelectronics devices. Beam propagation method based on fast fourier transform and finite difference schemes and its application to optical diffraction grating article pdf available march 2006 with 2, reads. The numerical results have shown that three different methods can be used to simulate different. Beamlab is an awardwinning set of simulation tools for beam propagation through. Simple quantitative conditions for the applicability of the beam propagation method bpm in isotropic and anisotropic media are given. Gaussianbeam computes the profile propagation of a gaussian laser beam through a set of lenses. Our model based on the beam propagation method calculates the wavefront propagation in the scattering medium with the scattering mean free path and anisotropy factor characterized. These conditions are derived using the operator formalism employed in the bpm in its conventional formulation. Fullvector finiteelement beam propagation method for. Rsm radiation spectrum method is a 2d rigorous tool to solve the maxwell equations for the propagation of light in integrated optics or photonics devices. Beamprop beam propagation method software rsoft photonic.
Wave equations for propagation in dielectric media, solutions using the beam propagation method based on spectral fourier, hankel transforms and finite difference methods, with emphasis on thorough understanding of both the underlying physics and numerical simulation principles. We present a simple 3d wideangle beam propagation method wabpm using hoekstras scheme along with a new 3d wave equation splitting method. Lightpipes is a set of software tools for simulation of propagation, diffraction and interference of coherent light. For axially varying waveguides, the beam propagation method described in the preceding chapter is the most powerful technique for investigating linear and nonlinear lightwave propagation phenomena. Software from rp photonics propagating optical fields in fibers.
1062 1280 803 517 1269 233 408 612 1550 26 292 1518 891 844 1566 233 580 170 1154 1523 148 293 101 34 776 1062 978 1296