Electromagnetic Waves, Lecture notes of Guiding Electromagnetic Systems

A resoursefull Classical Electrodynamics for beginners.

Typology: Lecture notes

2024/2025

Uploaded on 11/28/2025

mark-hembrom
mark-hembrom 🇧🇩

2 documents

1 / 17

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

Partial preview of the text

Download Electromagnetic Waves and more Lecture notes Guiding Electromagnetic Systems in PDF only on Docsity!

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-