Question

T= - 1 Vo 1+1_12 +4EE - V.) sinềkza

Derive the equation about and and plot the transmission coefficient as a function of E.

Answer 1

The treansmission coefficient equation is rectangularc Potential barriere wherce E fore VO The schrodingere equation fore the threee reegions - - - arte 4, + 7420... 4" + d2 4 = o... - O ta acnca 43 tk 243=0 --- ura x wherce KRO 2mE and da= am. + 2 ta CE-vo) The solutions atce tic cika tica) = Acika Het Be .. A 2 caja celax LA12 43 Ca)= Feika Gerika – if we will solve for incident, reflected and Hreangmission curricent density , then Jin= t Jre- bk 1812 Jt = tk (F12 The reflected co-efficient & is given by RE Je & B12 Jin 19 1812 - and To transmission con efficient T= Jt = IF12 Jin TA12

if we will solve for F/A we have ezika Coszda - senza a e-zika cosaLa - 1 psenaaa where ß ¥ a k2 tal? dk Flair T= 12 cos²2dat p²senaaaa sonce cosa ada + B² senzada - I+ 1) Sen 209 = it mason222ą and T i tra senaaa 4 we note that THREL ra v. 2 (az-k2.)? X22 ECE-VO 17 / 2 sin2 200 1 - - YECE-V.) case 22-K2 A in your V2 1+ - ECE-VO Sonke