EM Waves with Vector Components One Vector only

Uitdrukking 24: "y" equals negative 6 left brace, 0 less than "x" less than 4 , right brace

Uitdrukking 25: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 1 , right brace

Uitdrukking 26: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 2 , right brace

Uitdrukking 27: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 3 , right brace

Uitdrukking 28: left parenthesis, 2 , negative 6.5 , right parenthesis left brace, "M" Subscript, "o" "d" "e" , Baseline equals 4 , right brace

Uitdrukking 29: left parenthesis, 4 "w" Subscript, 0 , Baseline , negative 12 , right parenthesis

Uitdrukking 30: "y" equals negative 12 left brace, 0 less than "x" less than 4 , right brace

Uitdrukking 31: left parenthesis, 2 , negative 12.5 , right parenthesis

Mode 1: E+B-field, Mode 2: E field, Mode 3: E-field with components. Mode 4: E-field components only

Uitdrukking 33: "M" Subscript, "o" "d" "e" , Baseline equals 1

Fields

3D Machinery

Uitdrukking 48: "l" Subscript, 00 , Baseline equals 6.5

Uitdrukking 49: "Z" Subscript, "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, "x" , right parenthesis left parenthesis, "s" Subscript, "i" "n" "X" "Y" , Baseline times "s" Subscript, "i" "n" "Y" "Z" , Baseline , right parenthesis minus left parenthesis, "z" , right parenthesis left parenthesis, "c" Subscript, "o" "s" "X" "Y" , Baseline times "s" Subscript, "i" "n" "Y" "Z" , Baseline , right parenthesis plus left parenthesis, "y" , right parenthesis left parenthesis, "c" Subscript, "o" "s" "Y" "Z" , Baseline , right parenthesis

Uitdrukking 50: "X" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, 1 minus StartFraction, "Z" Subscript, "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis Over "l" Subscript, 00 , Baseline , EndFraction , right parenthesis left parenthesis, left parenthesis, "x" , right parenthesis left parenthesis, "c" Subscript, "o" "s" "X" "Y" , Baseline , right parenthesis plus left parenthesis, "z" , right parenthesis left parenthesis, "s" Subscript, "i" "n" "X" "Y" , Baseline , right parenthesis , right parenthesis

Uitdrukking 51: "Y" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, 1 minus StartFraction, "Z" Subscript, "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis Over "l" Subscript, 00 , Baseline , EndFraction , right parenthesis left parenthesis, left parenthesis, "x" , right parenthesis left parenthesis, negative "s" Subscript, "i" "n" "X" "Y" , Baseline times "c" Subscript, "o" "s" "Y" "Z" , Baseline , right parenthesis plus left parenthesis, "z" , right parenthesis "c" Subscript, "o" "s" "X" "Y" , Baseline "c" Subscript, "o" "s" "Y" "Z" , Baseline plus left parenthesis, "y" , right parenthesis "s" Subscript, "i" "n" "Y" "Z" , Baseline , right parenthesis

We pre-calculate the values of these trig functions to speed up performance as the 3D functions get used over and over.

Uitdrukking 53: "s" Subscript, "i" "n" "X" "Y" , Baseline equals sine left parenthesis, theta Subscript, "x" "y" , Baseline , right parenthesis

Uitdrukking 54: "c" Subscript, "o" "s" "X" "Y" , Baseline equals cosine left parenthesis, theta Subscript, "x" "y" , Baseline , right parenthesis

Uitdrukking 55: "s" Subscript, "i" "n" "Y" "Z" , Baseline equals sine left parenthesis, theta Subscript, "y" "z" , Baseline , right parenthesis

Uitdrukking 56: "c" Subscript, "o" "s" "Y" "Z" , Baseline equals cosine left parenthesis, theta Subscript, "y" "z" , Baseline , right parenthesis

Uitdrukking 57: "T" Subscript, "h" "r" "e" "e" "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis equals left parenthesis, "X" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis , "Y" Subscript, 3 "D" , Baseline left parenthesis, "x" , "y" , "z" , right parenthesis , right parenthesis

Axes

Made by Michael Friedman, Physics Teacher at Somerville High School, Somerville MA. mfriedman@k12.somerville.ma.us May be updated at http://friedman.science

3D Machinery by Suzanne von Oy

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