000190390 001__ 190390
000190390 005__ 20180913062135.0
000190390 020__ $$a0-8194-3568-6
000190390 0247_ $$2doi$$a10.1117/12.379358
000190390 02470 $$2ISI$$a000086470200002
000190390 037__ $$aCONF
000190390 245__ $$aRigorous analysis of focusing grating couplers using a time-domain spectral collocation method
000190390 269__ $$a2000
000190390 260__ $$bSPIE$$c2000
000190390 336__ $$aConference Papers
000190390 490__ $$aSPIE Proceedings
000190390 500__ $$aConference on Diffractive/Holographic Technologies and Spatial Light Modulators VII, San Jose, CA, Jan 24-25, 2000
000190390 520__ $$aDiffractive optical elements comprising sub-wavelength aperiodic surface reliefs of finite length require the use of rigorous solvers for Maxwell's equations. We present a detailed analysis of Focusing Grating Couplers (FGC's) using a recently introduced 2D spectral collocation method. The method, solving Maxwell's equations in the time domain, is based on a high-order Chebyshev collocation scheme has the advantage over traditionally used Finite Difference methods that much fewer points per wavelength is needed to accurately resolve wave propagation in diffracting structures. At the same time, the new method exhibits no numerical dispersion in contrast to, e.g., the Finite Difference Time-Domain method. In this presentation we analyze a number of sub-wavelength FGC's with lengths of up to 1000 wavelengths. The FGC's use analog surface reliefs due to their superior diffraction properties. For structures yielding a perpendicular out-coupling, we find that typically 10-12 collocation points per wavelength is sufficient. We find that the focal length depends strongly upon the depth of the surface relief, e. g. that a significant shift of the focal plane from the value expected from geometrical optics is seen if deep surface reliefs are used.
000190390 700__ $$aDinesen, PG
000190390 700__ $$0247428$$aHesthaven, Jan S.$$g232231
000190390 700__ $$aLynov, JP
000190390 7112_ $$aSPIE 3951, Diffractive/Holographic Technologies and Spatial Light Modulators VII, 11$$cBellingham
000190390 720_1 $$aCindrich, I.$$eed.
000190390 720_1 $$aLee, SH$$eed.
000190390 720_1 $$aSutherland, RL$$eed.
000190390 773__ $$j3951$$q11-19$$tProc. SPIE 3951, Diffractive/Holographic Technologies and Spatial Light Modulators VII, 11
000190390 909C0 $$0252492$$pMCSS$$xU12703
000190390 909CO $$ooai:infoscience.tind.io:190390$$pconf$$pSB
000190390 917Z8 $$x102085
000190390 917Z8 $$x102085
000190390 937__ $$aEPFL-CONF-190390
000190390 970__ $$aDinesen2000a/MCSS
000190390 973__ $$aOTHER$$rREVIEWED$$sPUBLISHED
000190390 980__ $$aCONF