Beam propagation method: Difference between revisions

Revision as of 14:10, 7 September 2007

Revision as of 13:10, 9 September 2007

Line 1:

'''Beam Propagation Method''' (BPM) refers to a computational technique in [[Electromagnetics]], used

to solve the [[Helmholtz equation]] under conditions of a time-harmonic wave. BPM works under slowly varying envelope approximation, for linear and nonlinear equations.

envelope approximation, for linear and nonlinear equations.

The '''beam propagation method''' (BPM) is an approximation technique for simulating the propagation of [[light]] in slowly varying optical [[waveguide]]s. It is essentially the same as the so-called [[Parabolic Equation]] (PE) method in underwater [[acoustics]]. Both BPM and the PE were first introduced in 1970's. When a wave propagates along a waveguide for a large distance (larger compared with the wavelength), rigorous numerical simulation is difficult. The BPM relies on approximate differential equations which are also called the one-way models. These one-way models involve only a first order [[derivative]] in the variable z (for the waveguide axis) and they can be solved as "initial" value problem. The "initial" value problem does not involve time, rather it is for the spatial variable z.<ref>{{citation|title=Integrated Photonics|author=Clifford R. Pollock, Michal. Lipson|year= 2003|publisher=Springer|id=ISBN 1402076355 |url=http://books.google.com/books?vid=ISBN1402076355&id=DNJEoypcI6oC&pg=RA1-PA210&lpg=RA1-PA210&ots=o4ORvoHrCJ&dq=%22Beam+propagation+method%22&ie=ISO-8859-1&output=html&sig=kY2xdP7q7iv5MdX_3vzd63LmOpg}}</ref>

Line 47 ⟶ 46:

structures, as opposed to scattering problems. It is not suited as a generalized solution to Maxwell

equations, like the FDTD or FEM methods.

==See Alsoalso==

#*[[Computational electromagnetics]]

#*[[Finite-difference elementtime-___domain method]]

*[[Finite element method]]

#*[[MaxwellsMaxwell's equations]]

#*[[MoL | Method of Lines]]

#*[[Light]]

#*[[Photon]]

==References==

<references/>

==See Also==

#[[Computational electromagnetics]]

#[[FDTD | Finite Difference Time Domain method]]

#[[Finite element method]]

#[[Maxwells equations]]

#[[MoL | Method of Lines]]

#[[Light]]

#[[Photon]]

[[Category:Computational science]]