Question

An optical plane wave in free space has a wavevector of magnitude k = 1.288 x 107m-1 and travels in the direction k= ta (ĉ + 2Ÿ – î) with its electric field in the xy-plane. a) Calculate the direction ê of the electric field. (Take ex to be positive). b) Calculate the direction Ô of the magnetic field. c) How many wavecrests (peak-to-peak) lie between the origin of coordinates and the point (x, y, z) = (0,0.5,0.1) mm? (Recall that the phase of the plane wave is o=wt-kºr.)

Answer 1

Univen optical wave in free s pace magntude of wave vectos dire ction of wwane vectr k= 1_ -2) we have to Calculate Hh divectio of electric Aiel od which is in xy- plome E loctric Pield for a lane wane we know tnat direction of electric field md Kane perpendicular So EK (2+ 29-2) Ess

So - Pwt), directon of lactric ield - - - we hawe to Calculate the direeta'on o ho magnetic field we know hat the clircedion of magnatíc fielel iperpemdieular bath md Nons Jhiis hirection of magnetic faeld pailt ,2) = e 0-5, 0-1) ginem a that is +o. a5099 wave Lenth omd k L3.14 288N .8 7-57o

So No. nelongth. are 4.757 X7 we know tnot ngth distmce betueen tatal o of cests qre C wame Awo Cregts N 0. 2031x /o 7