Losses in single-mode silicon-on-insulator strip waveguides and ...
Losses in single-mode silicon-on-insulator strip waveguides and ...
Losses in single-mode silicon-on-insulator strip waveguides and ...
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4. Propagati<strong>on</strong> <str<strong>on</strong>g>Losses</str<strong>on</strong>g>Str<strong>on</strong>gerscatter<str<strong>on</strong>g>in</str<strong>on</strong>g>g• Propagati<strong>on</strong> losses measurements2 2 2σ kh0Eα = ⋅ S∆n2β E dxTM <str<strong>on</strong>g>mode</str<strong>on</strong>g>∫2TM <str<strong>on</strong>g>mode</str<strong>on</strong>g><str<strong>on</strong>g>Losses</str<strong>on</strong>g> is proporti<strong>on</strong>al toSquare of Interface roughness(σ)<strong>and</strong> Normalized E.Near the cut-offfrequency∇ E( y) + ( k( y) − β ) E( y) = 0k2 2 2xyy2 2= ( nk ) − β1 0TE <str<strong>on</strong>g>mode</str<strong>on</strong>g>TE <str<strong>on</strong>g>mode</str<strong>on</strong>g>“Str<strong>on</strong>ger scatter<str<strong>on</strong>g>in</str<strong>on</strong>g>g of the <str<strong>on</strong>g>mode</str<strong>on</strong>g> as the roughness amplitudeis <str<strong>on</strong>g>in</str<strong>on</strong>g>creased relative to the wavelength.”8
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