Elementi di Fotometria

Page 34

(OHPHQWL GL )RWRPHWULD &DSLWROR

ε0 =

10 −9 F −7 H μ 0 = 4π 10 36π m m

1HO VHJXLWR VL VXSSRQH VHPSUH FKH LO PH]]R VLD OLQHDUH RPRJHQHR VWD]LRQDULR HG LVRWURSR 6RWWR TXHVWH LSRWHVL OH HTXD]LRQL GL 0D[ZHOO GLYHQWDQR

­ & & °∇ • H = 0 & ­ ∂H ° °°∇ × E = − μ & ρ ° ∂t & FRQ ®∇ • E = ® ε °∇ × H& = &j + ε ∂E ° & ∂ °¯ ° ∂t j=− ρ ∇ • °¯ ∂t (48$=,21( '·21'$ 'DOOH HTXD]LRQL GL 0D[ZHOO q SRVVLELOH GHWHUPLQDUH OD FRVLGGHWWD HTXD]LRQH G·RQGD FRVWLWXLWD GD XQ·HTXD]LRQH GHO VHFRQGR RUGLQH OLQHDUH DOOH GHULYDWH SDU]LDOL • &DVR RPRJHQHR UHODWLYR DG XQ GRPLQLR LQ FXL QRQ YL q SUHVHQ]D GL FDULFKH

& & j = 0 H ρ = 0

& & ­ ∂H °∇ × E = − μ ∂t ° & & ° ∂E ®∇ × H = ε ∂t ° & °∇ • E = 0 ° ¯

& & & & & ∂H ∂ ∇ × ∇ × E = − μ∇ × ∇ ∇ • E − ∇ 2 E = −μ ∇ × H ∂t ∂t & & ∂§ ∂ · − ∇ 2 E = −μ ¨ ε E ¸ ∂t © ∂t ¹

(

)

& ∂2 & 2 ∇ E = εμ 2 E ∂t

&DVR QRQ RPRJHQHR q OD VLWXD]LRQH SL JHQHUDOH LQ FXL OH FDULFKH VRQR GLYHUVH GD ]HUR ,Q TXHVWR FDVR RFFRUUH GHILQLUH GXH IXQ]LRQL SRWHQ]LDOH

& & & A GHWWD SRWHQ]LDOH YHWWRUH H WDOH FKH B = ∇ × A & ∂ & Π GHWWD SRWHQ]LDOH VFDODUH H WDOH FKH E = −∇Π − A ∂t

$OORUD q SRVVLELOH GHGXUUH OD VHJXHQWH FRSSLD GL HTXD]LRQL


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