• Title/Summary/Keyword: modified EIM

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Facet Reflectivities as a Function of Waveguide width of Buried Channel Waveguides using the Field Profiles Obtained by the Variational Method (Variational 방법으로 구한 필드 분포를 이용한 도파로 폭에 따른 Buried Channel Waveguides의 단면 반사율)

  • Kim, Sang-Taek;Kim, Dong-Hoo;Kim, Boo-Gyoun
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.11
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    • pp.36-42
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    • 2000
  • We calculate the facet reflectivity as a function of the waveguide width of buried channel waveguides using the angular spectrum method and the field profiles obtained by the effective index method, the variational method and the modified variational method, respectively and discuss the results. As the waveguide width increases, the facet reflectivity of buried channel waveguides approaches to that of slab waveguides. As the waveguide width decreases, the facet reflectivity of quasi-TE mode decreases from that of slab waveguides, while that of quasi-TE mode increases from that of slab waveguides. The variation of the facet reflectivity of quasi-TE mode as a function of waveguide width is much larger than that of quasi-TM mode. When the aspect ratio is one, the difference between the facet reflectivity of quasi-TE mode and that of quasi-TM mode using the variational method and the modified variational method is negligible, while the difference between the facet reflectivity of quasi-TE mode and that of quasi-TM mode using the effective index method is large. In the case of quasi-TE mode, the facet reflectivity using the angular spectrum method and the field profiles obtained by the modified variational method could be more accurate than that obtained by the effective method. In the case of quasi-TM mode, the facet reflectivities obtained by the various methods are almost the same.

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A Rigorous 2D Approximation Technique for 3D Waveguide Structures for BPM Calculations

  • Han, Young-Tak;Shin, Jung-Uk;Kim, Duk-Jun;Park, Sang-Ho;Park, Yoon-Jung;Sung, Hee-Kyung
    • ETRI Journal
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    • v.25 no.6
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    • pp.535-537
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    • 2003
  • We propose a rigorous 2D approximation technique for the 3D waveguide structures; it can minimize the well-known approximation errors of the commonly used effective index method. The main concept of the proposed technique is to compensate for the effective cladding index in the equivalent slab model of the original channel waveguide from the modal effective index calculated by the nonuniform 2D finite difference method. With simulations, we used the proposed technique to calculate the coupling characteristics of a directional coupler by the 2D beam propagation method, and the results were almost exactly the same as the results calculated by the 3D beam propagation method.

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