Telecomunicazioni - concetti

Formattazione del testo

TH 8 Eb@ ;0"$; ' " ! "$3 '@ % " Ln nL ϕ= = = 2t 1 sin1 cv c n1nl L L= = =1t l2 ϕ ϕv c sin sinc c; − −2n L n L n n L n n n1 L n n∆ = − = − = − = = ∆ ∆ =1 1 1 1 1 2 11 1T t t 1 22 1 ϕ 2sinc c n c n n c n2 2c 2 2∆T @L M 1∆ > = ∆T <T T T B 1" b b B2n nL c∆ = ∆ < <1 2B T B 1 BL ∆2n c n2 1 ⋅n c bm Mb km' < = ⋅ =82BL 4 10 0 .4=n 1. 5 ∆2n s s1 1=n 1 ⋅Mb km2 <∆ < BL 1000 .01 N %s 70 @ ;0"$; ' " ! "$3 '@ % "I ∆T0 = > >#$% @ "@ @ "O; B # B) 3 1 1 . 2( )− ∆n 1 ≥r a1 α=n r( ) r− ∆n 11 <r aaα = 2; α → ∞; B ∆∆ 2nT 8cα = == − ∆ 1 BL2 (1 ); ∆28L c n1' H 0'&@ % ! % /'3#$ " ; ! dB500'& km 8) 3 + +B ω π2ω∇ + =2 2 2E n ( ) k E 0 = =k0 λ0 cωn ( )3 ; ω π2 n= = =k nk 0λv∂

∂ ∂ ∂2 2 21 1+ + + + =2 2E E E E n k E 0z z z z 0 zρ ρ ρ ρ φ∂ ∂ ∂ ∂2 2 2z ρ =≤ n na 1' ρ > =a n n 2 ( ) ( ) ( ) ( )ρ ϑ φ ρ φ= Φ, ,E F Z z$ z2d Z β+ =2 0Z2dz β= i zZ eΦ2d φ π+ Φ = Φ = ∈ Φim2 0 2m e m Zφ 2d funzioneBessel2 21d F dF mβ+ + − − =2 2 2 0n k Fρ ρρ ρ02 2dd& . / ρ →∞→F 0ρ ρ ≤( )AJ k a corem ρ= =F F 0 >γρ ρ >( )CK a claddingm γ β= = −2 2 2 2 2 2 2k n k n k% / = 1 0 2 0ββ% mn% N > 4 " N4" "4; 1* 4 " ! " ! 1* *; 1* "4 !3* *3 '@ '! ! / 0 (7 0 0 0 0*) *7 )) 7)C) 9βI β~ =n; + *k 0 ~β= ↔ =k nk n k/ 0 0 ~~< < nn n n2 1/ PP)π ~γργρ γ β−= = − = −2 2 2 2 2 2 2K ( ) e n k ( n n ) km 2 0 2 0γρ2; . 8

~ ~γ → − > >2 20 n n 0 n n/ 2 2~ ≅ = =0 1n n e cost; >2~ γ γ< < ∈2n n 0 I; .2 . H~ ≅n n 2 ~n@ >/ π2≡ − = ∆2 2V k a n n an 2& λ0 1 2 1β − n ~~ → →2 n n b 1−k n n 1≡ = < <0b 2 0 b 1/ ~ → →− − n n b 0n n n n 21 2 1 2&/ −2.405 step index=V (TE )01 −3. 5 graded index 10λ λ> = 1280 nmL M 2A c2V≈M@ D 22ρ− β= i z2ωE Ae e3 x; < <1 .2 V 2 .4ω 3− −≅ + + 60 . 65 1 .619V 2 . 879V2a = → Γ = = → Γ =V 1 20 % V 2 75 %a 2 ρ ρE dP xΓ = =core 0/ + ∞P 2 ρ ρE dtotale x0< <2 2 . 405V/ @ ;0"$; ' " " " & . $" 3 ' '3 '@ '@ ;0"$; ' " /$'3 % ! /%c λ=v ( )n >~g n ' Qβ# < #D @ #D @ 2−1ωdL ω== vT L >g

+ = + − +D D D Vλ λ ω ωM W 2 2c d n dV d dV2/ λ µ= =0 1 .276D mM ZDλ µ= ÷1.27 1.29 mZD ;λ ps≈ − ZD1 . 22 1D M λ ⋅km nm<D 0W λ µ= =0 1 . 3D mR ps≈ ÷15 18D ⋅km nmD * ) 2 ) FI 8@@@ ;0"$; ' " ' "% $"dλ λ λ= + ∆≈ 'D D λZD 0 dd λ∆'! % >λd 12βπ π π πλ λd =2 4 2 2dD d c c c cZDβ β β= = − = − = −2S#D @ 2 2 3λ λ λ λ λ λ λ2 3 2 2d d dλ λ λ λ λ λ= = = 1ZD ZDZD λ λλ ∆ = ∆ ∆ = ∆ <= ∆ <2 2( )T LS B T BLS ( ) 1'D S BL λ∆ 2( )S7% QS #D @T@/ ;3 & C7, * )2 * 2- : 2 ) 2)7 * *: */ ;3 & C@ ; * )9 * :* , ) ) FF * *9 F;3 & 1 > @ ;1' Tb∆λ == 3 kmBL2 nm; sMAX

≅ =Re R$c c −2 2n n1 2 µ5a m µ= = = 85R m' c − −2 2 2 81 . 48 1 .46n n1 2L H3 '@ " ;/$% 3 . "$ (; H C/' "! '$ # I !o 0 & φα φsorg≅ ≥20 log 10 dBφ10 rico 0 ; % NAα sorg≅ 20 log 10 NAric; n nα ≅ + +S10 log 2 4Rn nR S 15&& & "! ! '! ! / ' "% $;! 3 I % ! "@ #4 ! ;/% ! ! "$ # (; >A N ;; > =ω= +hv hv 1 Vinc q out/ λ ≅v 13 .2THzo +U; $ ; ;$; λ ≅v 0 . 1THzo ; . ; ;. ; U=1=P Pth persa2 α−− L1 e 1 w>>L >~== = 2A n wL α α effeff; $ ;L 16 π αeff ≈ = 2g P 16 P wR th thA geff R' dB m µµ πω µα µ− == = ⋅= = 32 2 P 570 mW @ 1.55 m0 . 2 g 1 10 @ 1 mw 5 m 75 m R thkm W; . ;L 21 π &alp