Simplified coupled-wave equations for cylindrical waves in circular grating planar waveguides

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 wavegu...

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Veröffentlicht in:	Journal of lightwave technology 1992-11, Vol.10 (11), p.1575-1589
Hauptverfasser:	Wu, C., Makino, T., Maciejko, R., Najafi, S.I., Svilans, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Circuit properties Distributed Bragg reflectors Distributed feedback devices Electric, optical and optoelectronic circuits Electronics Equations Exact sciences and technology Frequency Gratings Integrated optics. Optical fibers and wave guides Laser theory Optical and optoelectronic circuits Periodic structures Permittivity Planar waveguides Tellurium
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Beschreibung
Zusammenfassung:	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 ( beta r>>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.< >
ISSN:	0733-8724 1558-2213
DOI:	10.1109/50.184896