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Analysis of deep waveguide gratings: an efficient cascading and doubling algorithm in the method of lines framework
Department of Electrical Engineering, King Fahd University of Petroleum and Minerals, Saudi Arabia.
KTH, Superseded Departments, Microelectronics and Information Technology, IMIT.
2002 (English)In: Journal of Lightwave Technology, ISSN 0733-8724, E-ISSN 1558-2213, Vol. 20, no 7, 1204-1209 p.Article in journal (Refereed) Published
Abstract [en]

In this work, a computationally fast, numerically stable, and memory-efficient cascading and doubling algorithm is proposed within the method of lines framework to model long planar waveguide gratings having thousands of periods in the propagation direction. This algorithm can model 2(n) grating periods in n calculational steps and needs N-2 matrices for N sample points in the problem space. It can model periodic, quasi-periodic, symmetric, and asymmetric, gratings efficiently. Different deep waveguide gratings are modeled using this scheme and results for the fundamental TE mode spectral reflectivity are compared with published results showing excellent agreement.

Place, publisher, year, edition, pages
2002. Vol. 20, no 7, 1204-1209 p.
Keyword [en]
Beam-propagation methods; Finite-difference methods; Method of lines (MoL); Optical waveguides; Waveguide discontinuities; Waveguide gratings; Algorithms; Computational methods; Diffraction gratings; Finite difference method; Light propagation; Mathematical models; Matrix algebra; Cascading algorithms; Deep waveguide gratings; Doubling algorithms; Method of lines; Optical waveguides
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-24231DOI: 10.1109/JLT.2002.800350ISI: 000177576700017OAI: oai:DiVA.org:kth-24231DiVA: diva2:345768
Note
QC 20100827Available from: 2010-08-27 Created: 2010-08-27 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Photonic devices with MQW active material and waveguide gratings: modelling and characterisation
Open this publication in new window or tab >>Photonic devices with MQW active material and waveguide gratings: modelling and characterisation
2005 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

The research work presented in this thesis deals with modelling, design and characterisation of passive and active optical waveguide devices. The rst part of the thesis is related to algorithm development and numerical modelling of planar optical waveguides and gratings using the Method of Lines (MoL). The basic three-point central-di erence approximation of the δ2=δx2 operator used in the Helmholtz equation is extended to a new ve-point and seven-point approximation with appropriate interface conditions for the TE and TM elds. Di erent structures such as a high-contrast waveguide and a TM surface plasmon mode waveguide are simulated, and improved numerical accuracy for calculating the optical mode and propagation constant is demonstrated. A new fast and stable non-paraxial bi-directional beam propagation method, called Cascading and Doubling algorithm, is derived to model deep gratings with many periods. This algorithm is applied to model a quasi-guided multi-layer anti-resonant reecting optical waveguide (ARROW) grating polarizing structure.

In the second part of the thesis, our focus is on active optical devices such as vertical-cavity and edge-emitting lasers. With a view to improve the bandwidth of directly modulated laser, an InGaAsP quantum well with InGaAlAs barrier is studied due to its favorable band o set for hole injection as well as for electron con nement. Quantum wells with di erent barrier bandgap are grown and direct carrier transport measurements are done using time and wavelength resolved photoluminescence upconversion. Semi-insulating regrown Fabry-Perot lasers are manufactured and experimentally evaluated for light-current, optical gain, chirp and small-signal performance. It is shown that the lasers having MQW with shallow bandgap InGaAlAs barrier have improved carrier transport properties, better T0, higher di erential gain and lower chirp. For lateral current injection laser scheme, it is shown that a narrow mesa is important for gain uniformity across the active region. High speed directly modulated DBR lasers are evaluated for analog performance and a record high spurious free dynamic range of 103 dB Hz2=3 for frequencies in the range of 1-19 GHz is demonstrated. Large signal transmission experiment is performed at 40 Gb/s and error free transmission for back-to-back and through 1 km standard single mode ber is achieved.

Place, publisher, year, edition, pages
Stockholm: KTH, 2005. xvi, 82 p.
Series
Trita-MVT, ISSN 0348-4467 ; 2005:3
Keyword
Method of Lines, Grating, ARROW Waveguide, Semiconductor laser, quantum well
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-433 (URN)91-7178-132-3 (ISBN)
Public defence
2005-10-07, Sal C1, KTH-Electrum, 10:00
Opponent
Supervisors
Note
QC 20100827Available from: 2005-09-27 Created: 2005-09-27 Last updated: 2010-08-27Bibliographically approved

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