Optical Fiber Communication
Optical Fiber Communication EE 230
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This 13 page Class Notes was uploaded by Amiya Haley on Monday September 7, 2015. The Class Notes belongs to EE 230 at University of California - Santa Cruz taught by Claire Gu in Fall. Since its upload, it has received 73 views. For similar materials see /class/182335/ee-230-university-of-california-santa-cruz in Electrical Engineering at University of California - Santa Cruz.
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Date Created: 09/07/15
Phase Fronts Figure 212 A mode can be described as having two plane waves at a slight angle to one another forming an interference pattern When the phase fronts cross there is a maximu f I 2 39 l l I I I I I I nc E l I L l l I I f 39 g I I g I I I I n5 g I I K I I I I I 2 i O konc kons ken Figure 24 This my and wave picture shows the electromagnetic elds as a function of 3 Figure 27 In this ray depiction of the four allowed modes in the waveguide each ray has the same magnitude of k vector They are simply oriented slightly differently with respect to the axis 1 Modes M 91752 w I 39 l Mode 2 3 21 39 5 93608 B 94087 ll 1 l 8 7 6 5 4 3 2 1 O1 2 Position pm Figum 28 The rst four TE modal eld patterns of the waveguide describe in Example 21 are shown The vertical s restquotosent the location of the dielectric imerfaces L Zak gL wWV mama 39 Z if Jw L23 if 7711 afz 0 3f 1quot 92 2952 1quot 9 32 3325 quot 2 21 A 3i 71 quot39 f l at a 995 3 9339 VA quot 3 3l z4gt39 quot62quot 12 2 7 A Lg i 3A1 94 7X4 f 34 33 2quot3quot 3 5 F A2 395 6 mkas cm 2 m amafwxw guide u E3 4M4 Ojn e E M 3 7 00 EM Zzzs dz 2 37gt 2 Z 5 0 a 2 d4 mquot 2 0 012 l 2 2 2 z 01f PJZ 39 0 5 Z 1 e p 3 fraf jgit amgfgvf i 339 81mg 7quot quot 3 stake 6450 61 m P m 76440 90 L106 33900 Z 2 f A j Iff ragga 4733 9 Samp C ef w Z9gtQ gw lazld 1 H31 f lw efe s 234 3 Km70 gimcfei fgs f3gta uniuse 71 1a fm ma L w 1222 A1474 xcjmwa 39439 y lama lc j ym quotIL 4 k m FZJJ z CL 4 3 9 3m 0 ms Law MW 9 a39Auf39CM 8A9 not 04476 146 wwa Maze Ha Jaye9t EKG omo e a gfeca b m Q fa 923mch 9139 I L 3 0 Q fagngngn Ed1 E i a r1 i E1 field H1 field E2 field H2 field HE21 mode C CEO Hro EO field H0 field TEo1 mode 50 i Ho d E0 field HO field TM01 mode e E3 field W W E1 field H1 field EH11 mode Figure 1121 Mode patterns in a step index fiber The z axis is out of the page The solid lines represent the E field and the dotted lines represent the H field FIGURE 44 Images of several lowerorder modes a39 b and c are either TEOm9 TMOm 01quot HEZm m l 2 3 d is the HE n mode e is a linear com bination of HE with either HE31 or EH11 f is a linear combination of HEB with either HE32 or EH12 g h and i are either EH1quot or HE3m m l 2 3 Courtesy of Dr Elias Snitzer United Technologies Research Center 39O8e 06 O4 Normalized propagation constant I 02 O 1 2 4 Normalized frequency V HGURE 25 Normalized propagation constant b as a function of normalized fre quency V for a few loworder ber modes The right scale shows the mode index After Ref 29 Courtesy of Academic Press 10 mil 02 V gt Figure 1119 Normalized propagation parameter b as a function of the normalized frequency V for LPmu modes which Consists of HEmm and EHmom form gt 1 and HEgu TMOM TEou form 1 and HEW for m 0 After D Gloge 20 20 r l l l l 1 V 24 18quot 5 OOOACTUAL 000 GAUSSIAN 16 1 Lu 0 12 h ct4 E 12 d 30a l0 04 oe 06 1 1 I I l 1 OOH LL O 1 2 3 4 5 6 7 o 1 2 3 4 V pa FIGURE 27 Normalized spot size wa as a function of the V parameter obtained by tting the fundamental ber mode to a Gaussian distribution The rightside plot shows the quality of t for V 24 After Ref 30 Courtesy of The Optical Society of America
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