Simplified coupled-wave equations for cylindrical waves in circulargrating planar waveguides |
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| Authors: | Wu C. Makino T. Maciejko R. Najafi S.I. Svilans M. |
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| Affiliation: | Bell-Northern Res. Ltd., Ottawa, Ont.; |
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| Abstract: | A simplified form of the coupled-wave equations for cylindrical waves in circular grating distributed feedback (DFB) planar waveguides is presented. The coupling coefficients can be expressed as the product of a cylindrical-wave factor and the corresponding coupling coefficient between planar waveguide modes. Under the large radius approximation (βr≫1), which covers most practical cases, the interpolarization coupling between TE and TM cylindrical waves approaches zero. The coupled-wave equations can then be reduced to two independent families, one for TE- and the other for TM-cylindrical waves |
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