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4500HWS01

4500HWS01 - Slab Waveguide — Asymmetric A...

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Unformatted text preview: Slab Waveguide — Asymmetric A titanium-diffused lithium niobate slab waveguide (n f = 2.234) has a thickness of 2.50pm. It is surrounded by a lithium niobate substrate (ns = 2.214) and an air cover (nc = 1.000). Light of freespace wavelength 850nm is launched into the waveguide. The polarization of the launching light is such that it excites both TE and TM modes in the waveguide. For the TED mode and the TMo mode in this waveguide, calculate, showing all work, the asymmetry parameters (an;0 and aTMO), the zig-zag angles OTEO and HTMO, the phase velocities vaEo and vaMo, and the cut-off wavelengths (ATE0 and ATMO). You may use the slab waveguide program, SLWG, provided. Express zig—zag angles in degrees, the phase velocities as a fraction of the freespace speed of light, and cut-off wavelengths in nm. Express all answers accurately to six signiﬁcant ﬁgures. Put your ﬁnal answers in the spaces provided below. GTEO gTMo = vzéTEo/C = vaMo/0 = )‘TEO = _________________ nm Slab Waveguide - Asymmetric 72C 2 1.000 nf = 2.234 ns = 2.214 h=2.50/,Lm A=850nm 2_ 2 ME = n; n; = 43.8601 nf_ns n4 2_ 2 aTM = 51:23—23 = 1092.45 c f 3 Using the SLWG computer program 0TE0 = 86.411934° NTEO = 2.229621 0TB1 = 83.033287° NTEI: 2.217506 0TMo = 86.3390350 NTMo = 2.229441 QTM1 = 82.922882° NTM1 = 2.216980 'UpTEO/C = l/NTEO = 0.4485067 ’UpTMO/C = l/IVTM0 = 0.4485429 VTEO = tan—1 GTE —1 VTMO = tan x/aTM /\ __ 27rh (n?c — 7191/2 _ 27rh (n?r — 7131/2 TEo "' — VTEo tan—R/aTE 27rh (n; — 17.3)”2 27rh (n? — 1231/2 )‘TMo = — = _“_—‘_“ VTMO tan”1‘/aTM 1671130 = 16.481319 um‘l ﬂTEl = 16.391766 ,um‘1 ﬂTMo = 16.479990 ,um‘1 ,6‘TM1 = 16.387875 pm‘l = 3.297188 pm 2 3.041175 ,um ...
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4500HWS01 - Slab Waveguide — Asymmetric A...

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