EPSRC logo

Details of Grant 

EPSRC Reference: GR/J74602/01
Title: NOVEL FOURIER TRANSFORM TECHNIQUES FOR THE ANALYSIS OF OPTOELECTRONIC COMPONENTS AND CIRCUITS
Principal Investigator: Benson, Professor TM
Other Investigators:
Robson, Professor P
Researcher Co-Investigators:
Project Partners:
Department: Sch of Electrical and Electronic Eng
Organisation: University of Nottingham
Scheme: Standard Research (Pre-FEC)
Starts: 01 January 1994 Ends: 31 December 1996 Value (£): 104,969
EPSRC Research Topic Classifications:
Optical Devices & Subsystems
EPSRC Industrial Sector Classifications:
Related Grants:
Panel History:  
Summary on Grant Application Form
1. Extension of our existing novel analyses to provide new theory for optoelectronic components and circuits including loss, gain and radiation.2. Software implementation of the analyses in support of experimental work in our institutions and elsewhere. Test and verification by comparison with other methods, if available, and especially with experimental results.3. Study of new device configurations and improved designs.Progress:The design tools for optoelectronic components and devices being developed in this project are underpinned by semi-analytical operator transform techniques discovered by us using Fourier methods. Key features of this approach are the speed and accuracy of the solution and the ability to deal with unguided radiation as well as guided and leaky modes.Before the start of the project our method had provided the first exact solution of the scalar wave equation for rib and buried waveguides with multiple layers and arbitrary claddings. This work has now been successfully extended to three-component (polarised) TE and TM solutions. Analysis for fully vectorial problems has been completed. Implementation for some key waveguide configurations substantiates that the polarised solutions are highly accurate. A new analysis based on a generalised Spectral Index method involving Fourier field expansion, slab field expansion and a variational boundary condition has also been developed and implemented by Dr. S. Burke at UWCC (in collaboration). This confirms the accuracy of our previous work. These developments in cross-sectional analysis methods constitute an important first step towards the development of efficient three-dimensional propagation algorithms later in the project. Our original work on the development of operator transform method propagation algorithms was restricted to axial geometry. Under this project we have been developing operator propagation methods for configurations where the waveguide changes direction within the planar problem. Work completed to date has examined the effectiveness of conformal transformation and the application of orthogonal boundary conditions across angled boundaries using oblique coordinates. Computer implementation of new procedures for arbitrary curved waveguides and angled facets is progressing well. These procedures overcome restrictions in previous theoretical models for these structures and give us confidence that they will provide comprehensive explanations of experimental observations such as coherent coupling at straight-curved waveguide intersections.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Summary
Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:  
Further Information:  
Organisation Website: http://www.nottingham.ac.uk