The translation of Maxwell's equations and the motion of electrons in a medium that always been known to use potential depends on time and position. Maxwell's equations in a vacuum result in the completion of a linear electromagnetic field. If the non-linear medium Maxwell's equation will create a non-linear electromagnetic field solution.

1.
F.A.
Jenkins
and
H.E.
White
, “Fundamentals of Optics” (
McGraw-Hill
,
USA
,
1957
), pp.
506
507
.
2.
D.
Halliday
,
R.
Resnick
and
J.
Walker
, “Fundamentals of Physics” (
Wiley
,
USA
,
2010
), pp.
458
.
3.
F. L.
Pedrotti
and
L. S.
Pedrotti
, “Introduction to Optics, Second Edition” (
Prentice-Hall
,
New Jersey
,
1993
), pp.
300
301
.
4.
T.
Haider
,
International Journal of Electromagnetics and Applications
7
(
1
),
17
24
(
2017
).
5.
S. C.
Rand
,
Journal of the Optical Society of America B
26
(
12
),
120
129
(
2016
).
6.
S. C.
Rand
, “Lectures on Light Nonlinear and Quantum Physics Using The Density Matrix” (
Oxford, New York
,
2010
), pp.
210
214
7.
M.
Alonso
, and,
E. J.
Finn
, “Quantum and Statistical Physics” (
Addison-Wisley
,
Washington D.C
,
1968
), pp.
34
40
.
8.
K.
Blum
, “Density Matrix Theory and Applications Third Edition” (
Springer
,
London
,
2012
), pp.
11
22
.
9.
R.
Rosati
,
R. C.
Iotti
,
F.
Dolcini
and
F.
Rossi
,
Physical Review B
90
,
1
9
(
2014
).
10.
J. D. N.
Nardis
and
J.-S.
Caux
,
Journal of Statistical Mechanics: Theory and Experiment
,
12012
(
2014
).
11.
G.S.
He
and
S.H.
Liu
, “Physics of Nonlinear Optics” (
World Scientific
,
Singapore
,
1999
), pp.
91
.
12.
R. A.
Serway
,
C. J.
,
Moses
and
C. A.
Moyer
, “Modern Physics Third Edition” (
Thomson Learning
,
USA
,
2005
), pp.
447
454
.
13.
G.B.
Whitham
, “Linear and Nonlinear Waves” (
John Wiley
,
New York
,
1974
), pp.
533
.
14.
S.
Murty
,
International Journal of Civil Engineering and Technology (IJCIET)
8
(
8
),
1128
1131
(
2017
).
15.
H. D.
Young
and
R. A.
Freedman
, “Sears and Zemansky's University Physics with Modern Physics 13th Edition” (
Addison-Wesley
,
San Francisco
,
2012
), pp.
1052
1053
.
16.
R.
Fitzpatrick
, "Maxwell's Equations and the Principles of Electromagnetism", (
Infinity Science Press LLC
,
Massachusetts
,
2008
), pp.
130
.
17.
A.
Hermanto
, “
An Example of System Which Can Be Used to Explicitly Show the Symmetry Between the Electic And Magnetic Fields
Proceeding
(
2014
)
18.
T.
Becherrawy
, "Electromagnetism Maxwell Equations, Wave Propagation and Emission" (
John Wiley & Sons
,
USA
,
2012
), pp.
269
.
19.
N.
Bloembergen
“Nonlinear Optics Fourth Edition” (
World Scientific
,
Singapore
,
1996
), pp.
3
5
.
20.
D. W.
Ball
, “Maxwell's Equations of Electrodynamics an Explanation” (
SPIE
,
Washington
,
2012
), pp.
38
39
.
21.
D. J.
Griffith
, “Introduction to Electrodynamic (3rd ed)” (
Prentice Hall
,
New Jersey
,
1999
), pp
16
19
.
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