Abstract

The spectral width of a nonlinear converter is usually thought to be inversely proportional to the length of the nonlinear crystal. We present a method to overcome this limitation using the concept of super-oscillations, thus creating an arbitrarily narrow converter. A “super-narrow” frequency doubler was fabricated by appropriate modulation of its quadratic nonlinear coefficient, showing spectral and thermal response that are narrower by 39% and 69% compared to the side lobes and main lobe of the sinc function response of a standard frequency doubling crystal with the same length. This is accompanied by corresponding reduction of the efficiency to 14% and 0.79% with respect to those of the first side lobe and the main lobe. We propose more advanced modulation patterns, and discuss implications such as nonlinear filtering with higher resolution than the standard crystal.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Control of Frequency Conversion and Defragmentation for Super-Channels [Invited]

Nicola Sambo, Francesco Paolucci, Gianluca Meloni, Francesco Fresi, Luca Potì, and Piero Castoldi
J. Opt. Commun. Netw. 7(1) A126-A134 (2015)

Quantum frequency conversion of quantum memory compatible photons to telecommunication wavelengths

Xavier Fernandez-Gonzalvo, Giacomo Corrielli, Boris Albrecht, Marcel.li Grimau, Matteo Cristiani, and Hugues de Riedmatten
Opt. Express 21(17) 19473-19487 (2013)

Robust adiabatic sum frequency conversion

Haim Suchowski, Vaibhav Prabhudesai, Dan Oron, Ady Arie, and Yaron Silberberg
Opt. Express 17(15) 12731-12740 (2009)

References

  • View by:
  • |
  • |
  • |

  1. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).
  2. R. Lifshitz, A. Arie, A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
    [Crossref]
  3. S. Zhu, Y. Zhu, N. Ming, Science 278, 843 (1997).
    [Crossref]
  4. A. Arie, N. Habshoosh, A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
    [Crossref]
  5. V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
    [Crossref]
  6. M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
    [Crossref]
  7. H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
    [Crossref]
  8. I. Varon, G. Porat, A. Arie, Opt. Lett. 36, 3978 (2011).
    [Crossref]
  9. M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
    [Crossref]
  10. C. Langrock, S. Kumar, J. E. McGeehan, A. E. Willner, M. M. Fejer, J. Lightwave Technol. 24, 2579 (2006).
    [Crossref]
  11. I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
    [Crossref]
  12. P. Ben Dixon, J. H. Shapiro, F. N. C. Wong, Opt. Express 21, 5879 (2013).
    [Crossref]
  13. M. Berry, Quantum Coherence and Reality, Celebration of the 60th Birthday of Yakir Aharonov, J. S. Anandan, J. L. Safko, eds. (World Scientific, 1994), pp. 55–65.
  14. Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
    [Crossref]
  15. P. Woodward, J. Lawson, J. Inst. Electr. Eng. Part 3 95, 363 (1948).
  16. G. Di Francia, Nuovo Cimento 9, 426 (1952).
    [Crossref]
  17. E. T. F. Rogers, N. I. Zheludev, J. Opt. 15, 094008 (2013).
    [Crossref]
  18. G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).
  19. E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
    [Crossref]
  20. E. Greenfield, R. Schley, I. Hurwitz, J. Nemirovsky, K. G. Makris, M. Segev, Opt. Express 21, 13425 (2013).
    [Crossref]
  21. M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
    [Crossref]
  22. Y. Eliezer, A. Bahabad, Opt. Express 22, 31212 (2014).
    [Crossref]
  23. A. Arie, N. Voloch, Laser Photon. Rev. 4, 355 (2010).
    [Crossref]
  24. M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
    [Crossref]
  25. W. H. Lee, Appl. Opt. 18, 3661 (1979).
    [Crossref]
  26. K. Kato, N. Umemura, Appl. Opt. 41, 5040 (2002).
    [Crossref]
  27. S. Emanueli, A. Arie, Appl. Opt. 42, 6661 (2003).
    [Crossref]
  28. F. M. Huang, N. I. Zheludev, Nano Lett. 9, 1249 (2009).
  29. D. Slepian, H. Pollak, Bell Syst. Tech. J. 40, 43 (1961).
    [Crossref]
  30. M. V. Berry, S. Popescu, J. Phys. A 39, 6965 (2006).
    [Crossref]

2015 (1)

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

2014 (1)

2013 (3)

2012 (1)

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

2011 (2)

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

I. Varon, G. Porat, A. Arie, Opt. Lett. 36, 3978 (2011).
[Crossref]

2010 (1)

A. Arie, N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[Crossref]

2009 (1)

F. M. Huang, N. I. Zheludev, Nano Lett. 9, 1249 (2009).

2008 (2)

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
[Crossref]

2007 (1)

A. Arie, N. Habshoosh, A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[Crossref]

2006 (2)

2005 (2)

R. Lifshitz, A. Arie, A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[Crossref]

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

2003 (1)

2002 (1)

1998 (1)

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[Crossref]

1997 (1)

S. Zhu, Y. Zhu, N. Ming, Science 278, 843 (1997).
[Crossref]

1993 (1)

M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[Crossref]

1990 (1)

Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
[Crossref]

1979 (1)

1961 (1)

D. Slepian, H. Pollak, Bell Syst. Tech. J. 40, 43 (1961).
[Crossref]

1952 (1)

G. Di Francia, Nuovo Cimento 9, 426 (1952).
[Crossref]

1948 (1)

P. Woodward, J. Lawson, J. Inst. Electr. Eng. Part 3 95, 363 (1948).

Aharonov, Y.

Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
[Crossref]

Ahn, J.

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

Anandan, J.

Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
[Crossref]

Arie, A.

I. Varon, G. Porat, A. Arie, Opt. Lett. 36, 3978 (2011).
[Crossref]

A. Arie, N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[Crossref]

H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
[Crossref]

A. Arie, N. Habshoosh, A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[Crossref]

R. Lifshitz, A. Arie, A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[Crossref]

S. Emanueli, A. Arie, Appl. Opt. 42, 6661 (2003).
[Crossref]

Bahabad, A.

Y. Eliezer, A. Bahabad, Opt. Express 22, 31212 (2014).
[Crossref]

A. Arie, N. Habshoosh, A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[Crossref]

R. Lifshitz, A. Arie, A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[Crossref]

Bartalini, S.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

Ben Dixon, P.

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[Crossref]

Berry, M.

M. Berry, Quantum Coherence and Reality, Celebration of the 60th Birthday of Yakir Aharonov, J. S. Anandan, J. L. Safko, eds. (World Scientific, 1994), pp. 55–65.

Berry, M. V.

M. V. Berry, S. Popescu, J. Phys. A 39, 6965 (2006).
[Crossref]

Borri, S.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

Bossy, E.

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

Cancio, P.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

Carrasco, S.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Chad, J. E.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

De Natale, P.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

Dennis, M. R.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

Di Francia, G.

G. Di Francia, Nuovo Cimento 9, 426 (1952).
[Crossref]

Du, L.

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Dubois, M.

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Eliezer, Y.

Emanueli, S.

Enoch, S.

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Fejer, M.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Fejer, M. M.

Galli, I.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

Giusfredi, G.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

Greenfield, E.

Guenneau, S.

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Habshoosh, N.

A. Arie, N. Habshoosh, A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[Crossref]

Huang, F. M.

F. M. Huang, N. I. Zheludev, Nano Lett. 9, 1249 (2009).

Hum, D.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Hurwitz, I.

Ju, J.

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

Kato, K.

Kim, J.

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

Kim, M.

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

Kumar, S.

Langrock, C.

Lawson, J.

P. Woodward, J. Lawson, J. Inst. Electr. Eng. Part 3 95, 363 (1948).

Lee, M.

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

Lee, W. H.

Lerosey, G.

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Lifshitz, R.

R. Lifshitz, A. Arie, A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[Crossref]

Lindberg, J.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

Makris, K. G.

Mazzotti, D.

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

McGeehan, J. E.

Ming, N.

S. Zhu, Y. Zhu, N. Ming, Science 278, 843 (1997).
[Crossref]

Nada, N.

M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[Crossref]

Nasr, M.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Nemirovsky, J.

Oron, D.

H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
[Crossref]

Pollak, H.

D. Slepian, H. Pollak, Bell Syst. Tech. J. 40, 43 (1961).
[Crossref]

Popescu, S.

M. V. Berry, S. Popescu, J. Phys. A 39, 6965 (2006).
[Crossref]

Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
[Crossref]

Porat, G.

Rogers, E. T. F.

E. T. F. Rogers, N. I. Zheludev, J. Opt. 15, 094008 (2013).
[Crossref]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Roy, T.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Saitoh, M.

M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[Crossref]

Saleh, B.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Savo, S.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

Schley, R.

Sebbah, P.

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Segev, M.

Sergienko, A.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Shapiro, J. H.

Shen, Z.

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Silberberg, Y.

H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
[Crossref]

Slepian, D.

D. Slepian, H. Pollak, Bell Syst. Tech. J. 40, 43 (1961).
[Crossref]

Suchowski, H.

H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
[Crossref]

Teich, M.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Torner, L.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Torres, J.

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

Umemura, N.

Vaidman, L.

Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
[Crossref]

Varon, I.

Voloch, N.

A. Arie, N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[Crossref]

Watanabe, K.

M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[Crossref]

Willner, A. E.

Wong, F. N. C.

Woodward, P.

P. Woodward, J. Lawson, J. Inst. Electr. Eng. Part 3 95, 363 (1948).

Yamada, M.

M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[Crossref]

Yuan, G.

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Zheludev, N. I.

E. T. F. Rogers, N. I. Zheludev, J. Opt. 15, 094008 (2013).
[Crossref]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

F. M. Huang, N. I. Zheludev, Nano Lett. 9, 1249 (2009).

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Zhu, S.

S. Zhu, Y. Zhu, N. Ming, Science 278, 843 (1997).
[Crossref]

Zhu, Y.

S. Zhu, Y. Zhu, N. Ming, Science 278, 843 (1997).
[Crossref]

Appl. Opt. (3)

Appl. Phys. Lett. (1)

M. Yamada, N. Nada, M. Saitoh, K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[Crossref]

Bell Syst. Tech. J. (1)

D. Slepian, H. Pollak, Bell Syst. Tech. J. 40, 43 (1961).
[Crossref]

ETRI J. (1)

M. Kim, J. Ahn, J. Kim, J. Ju, M. Lee, ETRI J. 27, 312 (2005).
[Crossref]

J. Inst. Electr. Eng. Part 3 (1)

P. Woodward, J. Lawson, J. Inst. Electr. Eng. Part 3 95, 363 (1948).

J. Lightwave Technol. (1)

J. Opt. (1)

E. T. F. Rogers, N. I. Zheludev, J. Opt. 15, 094008 (2013).
[Crossref]

J. Phys. A (1)

M. V. Berry, S. Popescu, J. Phys. A 39, 6965 (2006).
[Crossref]

Laser Photon. Rev. (1)

A. Arie, N. Voloch, Laser Photon. Rev. 4, 355 (2010).
[Crossref]

Nano Lett. (1)

F. M. Huang, N. I. Zheludev, Nano Lett. 9, 1249 (2009).

Nat. Mater. (1)

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[Crossref]

Nuovo Cimento (1)

G. Di Francia, Nuovo Cimento 9, 426 (1952).
[Crossref]

Opt. Express (3)

Opt. Lett. (1)

Opt. Quantum Electron. (1)

A. Arie, N. Habshoosh, A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[Crossref]

Phys. Rev. A (1)

H. Suchowski, D. Oron, A. Arie, Y. Silberberg, Phys. Rev. A 78, 063821 (2008).
[Crossref]

Phys. Rev. Lett. (6)

I. Galli, S. Bartalini, S. Borri, P. Cancio, D. Mazzotti, P. De Natale, G. Giusfredi, Phys. Rev. Lett. 107, 270802 (2011).
[Crossref]

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[Crossref]

M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, M. Fejer, Phys. Rev. Lett. 100, 183601 (2008).
[Crossref]

R. Lifshitz, A. Arie, A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[Crossref]

Y. Aharonov, J. Anandan, S. Popescu, L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
[Crossref]

M. Dubois, E. Bossy, S. Enoch, S. Guenneau, G. Lerosey, P. Sebbah, Phys. Rev. Lett. 114, 013902 (2015).
[Crossref]

Science (1)

S. Zhu, Y. Zhu, N. Ming, Science 278, 843 (1997).
[Crossref]

Other (3)

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

M. Berry, Quantum Coherence and Reality, Celebration of the 60th Birthday of Yakir Aharonov, J. S. Anandan, J. L. Safko, eds. (World Scientific, 1994), pp. 55–65.

G. Yuan, E. T. F. Rogers, T. Roy, L. Du, Z. Shen, N. I. Zheludev, CLEO: QELS_Fundamental Science (Optical Society of America, 2014).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1. Design process. (a) Desired intensity profile, (b) desired amplitude Fourier transform, (c) designed amplitude Fourier transform after convolution with rect function, and finally (d) resulting poling design in comparison with a standard periodically poled crystal.
Fig. 2.
Fig. 2. Normalized efficiency. (a) Simulated conversion efficiency of a Gaussian pump beam in a 10 mm KTP crystal with a super-oscillation design (in solid green), in comparison with periodically poled crystal (dashed blue), for both a waist of 62 μm and λ 0 = 1550 nm . (b) Experimental results for the same parameters. (c) Simulation and (d) measurements of normalized efficiency versus crystal temperature, at wavelength of 1555 nm. All graphs are normalized to the peak efficiency of the sinc response of the periodically poled crystal.
Fig. 3.
Fig. 3. Simulation for isolated super-narrow peak design using function from Eq. (9) (solid green) with L = 40 mm , Z 0 = 8 mm , s 1 = 0.8 , s 2 = 0.08 , for KTP and 1550 nm pump; compared with the periodic design of a crystal of the same length (dashed blue); and design using g function of Eq. (5) (point-dashed red) with L = 40 mm , Z 0 = 13.3 , s = 0.68 .

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

A 2 ( Δ k ) = κ d 33 d ( z ) e j Δ k z d z ,
I 2 ( Δ k ) ( cos L 1 Δ k 2 s ) 2 ,
d ( z ) = sign ( cos ( Δ k 0 z + ϕ ( z ) ) cos ( π q ( z ) ) ) ,
A 2 ( 1 ) ( Δ k ) = 2 κ d 33 π L 2 L 2 sin ( π q ( z ) ) e j ϕ ( z ) e j ( Δ k + Δ k 0 ) z d z .
g ( Δ k ) cos L 1 Δ k 2 s ,
sin ( π q ( z ) ) e j ϕ ( z ) IFT { g ( Δ k ) } rect ( z Z 0 ) max [ | IFT { g ( Δ k ) } rect ( z Z 0 ) | ] ,
d ( z ) = { sign ( cos ( Δ k 0 z + π ) 1 ( s max ( s , 0.5 ) ) 2 ) | Z | < Z 0 2 sign ( cos ( Δ k 0 z ) 1 ( 1 2 max ( s , 0.5 ) ) 2 ) L 1 Z 0 2 < | Z | < L 2 .
A 2 ( 1 ) ( Δ k ) = 2 Z 0 κ d 33 max ( s , 0.5 ) π g ( Δ k Δ k 0 ) × sinc ( Z 0 2 π [ Δ k Δ k 0 ] ) .
g 2 ( Δ k ) ( cos L 1 Δ k 4 s 1 ) 2 s 2 ,

Metrics