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Electnomagnehe Wove Be Eleclnomognetic Wove in Vaccum 3-AN) The Wave Equation don E & 8 In ReQions of Space cohene trene is No change on cunnent, the Moxwell €9", \as P - Ov is -—-0 [.- No henge so) Fy EF 4 0 (1) (i ok atop oD (i) SxE-- 2h @) “The Wave rahich iS propa orig alt Zz oxis through Y axis, Ey = Ey Com (k2- at +8.) ... (4) From (10) & (8), E =E. Cod (k2-at + §) ~ Bee De E-s el ae coe” a im Kz-a) E = eel fel | =36 =(E. %+EyY +E, Be! ee Similorly, \ =~ i(k? - -at) B =(Bin%+ Bay y + Boe el “Wave Eg” Wes 1 ve. Vige She Bul “V-E +0 oe | Because, — ¥ = + S = vate? Ea has 4 be 0 fon VE te be O- © Similonly Bos has + be o tn VR be be 5 TE & k are Jremsvense- | 9:23) Enengy and Momentum in Elec}nomogreti Wave: Enengy per unit volume in EM field, weth(eey te) os. & @ In @ase of aAdnochist che plane WoOve, ara Poe WAS S10... (2D) > of ae ae (i) aaah (ee Lier) =5 (ee “+ €E) \ ~~ = eee -U= €,E" Sw = €, fies Con (le wi+8) Us C.F Pon (k2- Ot 48) ... Q) it Now ‘the enengy fluy density (Energy per Un! Qnea, Per unit time), Sry vad ; Z Soa DEER) mY ae Banc oO 0 \ eS, Sto E 4 By 2 2 Pt . ee 3.0 -Y -o+2 EB . i | l araiedials (8- ze] 5 es 5 88: | Be Kc E Ge | a x VAR. =CE.E : = os ee e o@, Ce, E Gon” (k2-at + §) => U0 = eS me > Ke CEE” Gan” (ke-aot+ Hz a S ed i, 1) AF row (9) -. 6 'G enengy density times (X) the velocity AL raavea [05 T=sscere = © When light Salls ona pandee! absorber , i delivens its momentum +o the surface mM time At. The Momentun teen sere in -tme i, Rts etter * scgpy = OE ne = 20. ae é ae » — = aoe? Ge eel | Ge igre Neca if a is OC neflecton inglead od Absonben eine ‘ then pnessune is tooice . Meons, P= 9-3) Ele etomognetic Wave in Motlen 9: 3.1 Propog ation mn Linear Media Moxesell €quotion m modlen - Ne ee (ae (DVD - Bx (it) “WB = Oo ssett fe Oy (iit) Ve Oy xn, +t Sor When thene is no change are een is Gs ee pe, } -@) Cee Wuaeiligd Tf the medium. 7S =linears + Db =e a — ; Sar a Nel E Hene, fn is a dielectnic Constant and €,71. ae Light trovel Mone slowly through molen: As. > Sy LN OIA CV; $0 the enengy 9-3-4 Resleetion ard Transmission at Nonmal Incidence : When a aove passes trom one tronsponent medium 4p another [ Ain +o Wadler on, Glass to Plostie | , Hen we oe both reflected cave on ronsmitled wove: It depends om the belocs boundony condition. oc Bee WE Se, flo! hy See le oy! (it) mn By 700 B, (iv) BL = By Suppose the my ‘plone dons boundary hetaeen tao linear. media. A plane aove of frequency w , tnovelling in the Z dinee- tion and polanized in the % diicatone fem lef + appnoch . From boundony Condition (il), lw n “ye " LA, 8 3 ree “B L (1.8 Ea) = HCHEs) | =3(y aes WANS OR UN 2 a iia ig aes He ee, Fog seta, uae ata le = — = Wie . ? aor = Ag <7 ~ = 3 a =e 5 > A Es PE, as o BM = Hite nes Where, B= cn, aN, . Now, (4) +(5) => \ s|l-