Expression 10: "H" left parenthesis, "x" , "t" , right parenthesis equals left brace, "x" greater than 0 : "J" left parenthesis, "t" minus StartFraction, "x" Over "v" Subscript, "p" , Baseline , EndFraction , right parenthesis , "x" less than 0 : negative "J" left parenthesis, "t" plus StartFraction, "x" Over "v" Subscript, "p" , Baseline , EndFraction , right parenthesis , right braceHx,t=x>0:Jt−xvp,x<0:−Jt+xvp
10
Plot against position and time. We can freeze time as necessary.
11
Expression 12: "z" equals "E" left parenthesis, "x" , "t" , right parenthesisz=Ex,t
12
Expression 13: "z" equals "H" left parenthesis, "x" , "t" , right parenthesisz=Hx,t
13
Expression 14: "t" equals 0t=0
00
66
14
Plot everything at x=2 against time.
15
Expression 16: "z" equals "E" left parenthesis, 2 , "x" , right parenthesisz=E2,x
16
Expression 17: "z" equals "H" left parenthesis, 2 , "x" , right parenthesisz=H2,x
17
Plot everything at x=-2 against time.
18
Expression 19: "z" equals "E" left parenthesis, negative 2 , "x" , right parenthesisz=E−2,x
19
Expression 20: "z" equals "H" left parenthesis, negative 2 , "x" , right parenthesisz=H−2,x