We show that memristive systems can be used very efficiently to generate passively both double and higher frequency harmonics. A technique for maximizing the power conversion efficiency into any given harmonic is developed and applied to a single memristive system and memristive bridge circuits. We find much higher rates of power conversion compared to the standard diode bridge, with the memristive bridge more efficient for second and higher harmonics generation compared to the single memristive system. The memristive bridge circuit optimized for second harmonic generation behaves as a two-quarter-wave rectifier.

1.
P. A.
Franken
,
A. E.
Hill
,
C. W.
Peters
, and
G.
Weinreich
,
Phys. Rev. Lett.
7
,
118
(
1961
).
2.
E.
Hecht
,
Optics
, 4th ed. (
Addison Wesley
,
2001
).
3.
Z.
Ou
,
S.
Pereira
,
E.
Polzik
, and
H.
Kimble
,
Opt. Lett.
17
,
640
(
1992
).
4.
Y. V.
Pershin
and
M.
Di Ventra
,
Phys. Rev. B
79
,
153307
(
2009
).
5.
C.
Alexander
and
M.
Sadiku
,
Fundamentals of Electric Circuits
, 4th ed. (
McGraw-Hill
,
2008
)
6.
L. O.
Chua
,
IEEE Trans. Circuit Theory
18
,
507
(
1971
).
7.
L. O.
Chua
and
S. M.
Kang
,
Proc. IEEE
64
,
209
(
1976
).
8.
D. B.
Strukov
,
G. S.
Snider
,
D. R.
Stewart
, and
R. S.
Williams
,
Nature
453
,
80
(
2008
).
9.
Y. V.
Pershin
and
M.
Di Ventra
,
Adv. Phys.
60
,
145
(
2011
).
10.
M.
Di Ventra
,
Y. V.
Pershin
, and
L. O.
Chua
,
Proc. IEEE
97
,
1717
(
2009
).
11.
E.
Oskoee
and
M.
Sahimi
,
Phys. Rev. E
83
,
031105
(
2011
).
12.
J. J.
Yang
,
M. D.
Pickett
,
X.
Li
,
D. A. A.
Ohlberg
,
D. R.
Stewart
, and
R. S.
Williams
,
Nat. Nanotechnol.
3
,
429
(
2008
).
13.
A.
Baikalov
,
Y.
Wang
,
B.
Shen
,
B.
Lorenz
,
S.
Tsui
,
Y.
Sun
,
Y.
Xue
, and
C.
Chu
,
Appl. Phys. Lett.
83
,
957
(
2003
).
14.
S.
Tsui
,
A.
Baikalov
,
J.
Cmaidalka
,
Y.
Sun
,
Y.
Wang
,
Y.
Yue
,
C.
Chu
,
L.
Chen
, and
A.
Jacobson
,
Appl. Phys. Lett.
85
(
2004
).
15.
B. R.
Munson
,
D.
Young
,
T.
Okiishi
, and
W.
Huebsch
,
Fundamentals of Fluid Mechanics
, 6th ed. (
Wiley
,
2010
).
16.
F. Z.
Wang
,
N.
Helian
,
S.
Wu
,
M.-G.
Lim
,
Y.
Guo
, and
M. A.
Parker
,
El. Dev. Lett.
31
,
755
(
2010
).
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