DocumentCode :
1304949
Title :
Design of Planar Waveguides With Prescribed Mode-Profile Using Inverse Scattering Theory
Author :
Hirsh, Itay ; Horowitz, Moshe ; Rosenthal, Amir
Author_Institution :
Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel
Volume :
45
Issue :
9
fYear :
2009
Firstpage :
1133
Lastpage :
1141
Abstract :
We demonstrate a new method based on inverse scattering theory for designing the refractive index profile of single-mode planar waveguides in order to obtain a desired TE-mode profile. The method enables a direct design of the waveguide profile without the need for iterative optimization algorithms. The design is based on a first order solution to the Gel´fand-Levitan-MarCcaronenko integral equation that gives a simple linear connection between a small change in the scattering data and the corresponding change in the kernel function. This connection reduces the design problem to a simple linear constrained minimization problem which has an explicit solution. Our design method allows adding additional constraints on the refractive index profile such as the waveguide width. The method presented in this paper can be expanded to analyze TM modes and for designing multi-mode planar waveguides.
Keywords :
integral equations; optical design techniques; optical planar waveguides; refractive index; Gel´fand-Levitan-MarCcaronenko integral equation; TE-mode profile; inverse scattering theory; kernel function; optical planar waveguide design; refractive index profile; simple linear constrained minimization problem; Algorithm design and analysis; Design optimization; Integral equations; Inverse problems; Iterative algorithms; Iterative methods; Planar waveguides; Refractive index; Scattering; Waveguide theory; Inverse problems; optical planar waveguides;
fLanguage :
English
Journal_Title :
Quantum Electronics, IEEE Journal of
Publisher :
ieee
ISSN :
0018-9197
Type :
jour
DOI :
10.1109/JQE.2009.2020568
Filename :
5210221
Link To Document :
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