Novel beam propagation algorithms for tapered optical structures

Novel beam propagation algorithms for tapers have been developed that eliminate errors caused by staircase approximations. Nonorthogonal coordinate systems are introduced that model the effects of beam spreading and obliqueness while retaining the standard coordinate z to advance the solution forwar...

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Bibliographic Details
Published in:Journal of lightwave technology 1999-11, Vol.17 (11), p.2379-2388
Main Authors: Sujecki, S., Sewell, P., Benson, T.M., Kendall, P.C.
Format: Article
Language:English
Subjects:
Accuracy
Algorithm design and analysis
Algorithms
Applied sciences
Approximation
Beams (radiation)
Channel capacity
Circuit properties
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Finite difference methods
Integrated optoelectronics
Integrated optoelectronics. Optoelectronic circuits
Mathematical models
Numerical analysis
Obliqueness
Optical and optoelectronic circuits
Optical materials
Optical propagation
Optical waveguide components
Optical waveguides
Photonics
Spreading
Three dimensional
Utilities
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Description
Summary:Novel beam propagation algorithms for tapers have been developed that eliminate errors caused by staircase approximations. Nonorthogonal coordinate systems are introduced that model the effects of beam spreading and obliqueness while retaining the standard coordinate z to advance the solution forward uniformly. Both two- and three-dimensional (2-D) and (3-D) examples are considered to illustrate both the accuracy and utility of the scheme. The new method maintains its accuracy with fewer sample points allowing significant reduction in calculation time.
ISSN:0733-8724
1558-2213
DOI:10.1109/50.803034