Optics InfoBase > JOSA B > Volume 23 > Issue 10 > Page 2257

## Second-harmonic emission in two-dimensional photonic crystals

Emmanuel Centeno and Didier Felbacq »View Author Affiliations

^{1}and Didier Felbacq

^{1}

^{1}Groupe d’Etude des Semiconducteurs UMR-CNRS 5650 Université Montpellier II, Place E. Bataillon, CC074, 34095 Montpellier, France

JOSA B, Vol. 23, Issue 10, pp. 2257-2264 (2006)

http://dx.doi.org/10.1364/JOSAB.23.002257

View Full Text Article

Enhanced HTML Acrobat PDF (706 KB)

### Abstract

A second-harmonic superprism effect in 2D photonic crystals is demonstrated numerically. A full control of the second-harmonic emission is achieved by tailoring the photonic dispersion curves. This effect is demonstrated by using a multiple scattering method generalized to the second-harmonic generation. We show that small angular variations or a wavelength tuning of the fundamental field induce large shifts of the second-harmonic emission

© 2006 Optical Society of America

**OCIS Codes**

(190.2620) Nonlinear optics : Harmonic generation and mixing

(190.4390) Nonlinear optics : Nonlinear optics, integrated optics

(290.4210) Scattering : Multiple scattering

**ToC Category:**

Photonic Crystals

**History**

Original Manuscript: December 2, 2005

Revised Manuscript: May 10, 2006

Manuscript Accepted: May 28, 2006

**Citation**

Emmanuel Centeno and Didier Felbacq, "Second-harmonic emission in two-dimensional photonic crystals," J. Opt. Soc. Am. B **23**, 2257-2264 (2006)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-10-2257

Sort: Author | Year | Journal | Reset

### References

- C.M.Soukoulis, ed., Photonic Band Gap Materials, Vol. 315 of the NATO Advanced Study Institute Series E: Applied Sciences (Kluwer, 1996).
- J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, 1995).
- E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
- S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996). [CrossRef] [PubMed]
- S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, "Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5-μm wavelength," Opt. Lett. 25, 1297-1299 (2000). [CrossRef]
- A. Talneau, L. Le Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55μm," Appl. Phys. Lett. 80, 547-549 (2002). [CrossRef]
- E. Ozbay, I. Bulu, K. Aydin, H. Caglayan, and K. Guven, "Physics and applications of photonic crystals," Photonics Nanostruct. Fundam. Appl. 2, 87-95 (2004). [CrossRef]
- S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Hauss, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998). [CrossRef]
- S. Noda, "Three-dimensional photonic crystals operating at optical wavelength region," Physica B 279, 142-149 (2000). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystal," Phys. Rev. B 58, R10096-R10099 (1998). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999). [CrossRef]
- T. Matsumoto, S. Fujita, and T. Baba, "Wavelength demultiplexer consisting of photonic crystal superprism and superlens," Opt. Express 13, 10768-10776 (2005). [CrossRef] [PubMed]
- B. Momeni and B. A. Adibi, "Optimization of photonic crystal demultiplexers based on the superprism effect," Appl. Phys. B 77, 555-560 (2003). [CrossRef]
- A. Lupu, E. Cassan, S. Laval, L. El. Melhaoui, P. Lyan, J. M. Fedeli, "Experimental evidence for superprism phenomena in SOI photonic crystals," Opt. Express 12, 5690-5696 (2004). [CrossRef] [PubMed]
- V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998). [CrossRef]
- A. R Cowan and J. F. Young, "Mode matching for second-harmonic generation in photonic crystal waveguides," Phys. Rev. B 65, 85106-85112 (2002). [CrossRef]
- J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Briot, M. Le Vassor d'Yerville, E. Centeno, D. Cassagne, and J. P. Albert, "Giant second-harmonic generation in a one-dimensional GaN photonic crystal," Phys. Rev. B 69, 085105-085113 (2004). [CrossRef]
- M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993). [CrossRef]
- S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997). [CrossRef]
- M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, "Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures," Phys. Rev. A 56, 3166-3174 (1997). [CrossRef]
- M. Centini, C. Sibilia, M. Scalora, G. D'Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, "Dispersive properties of finite one-dimensional photonic bandgap structures: applications to nonlinear quadratic interactions," Phys. Rev. E 60, 4891-4898 (1999). [CrossRef]
- Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Mériadec, and A. Levenson, "Phase-matched frequency doubling at photonic band edges: efficiency scaling as the fifth power of the length," Phys. Rev. Lett. 89, 43901-43904 (2002). [CrossRef]
- J. Martorell, R. Vilaseca, and R. Corbolan, "Second-harmonic generation in a photonic crystal," Appl. Phys. Lett. 70, 702-704 (1997). [CrossRef]
- J. Trull, R. Vilaseca, J. Martorell, and R. Cordobàn "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1750 (1995). [CrossRef] [PubMed]
- F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109-245113 (2004). [CrossRef]
- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizetti, L. C. Andreani, F. Romanato, L. Businaro, E. DiFabrizio, A. Passaseo, and M. De Vittorio, "Resonant second-harmonic generation in a GaAs photonic crystal waveguide," Phys. Rev. B 68, 161306-161310 (2003). [CrossRef]
- G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to chi(2) interactions," Phys. Rev. E 64, 016609-016618 (2001). [CrossRef]
- B. Shi, Z. M. Jiang, X. F. Zhou, and X. Wang, "A two-dimensional nonlinear photonic crystal for strong second-harmonic generation," J. Appl. Phys. 91, 6769-6771 (2002). [CrossRef]
- E. Centeno, "Second-harmonic superprism effect in photonic crystals," Opt. Lett. 30, 1054-1056 (2005). [CrossRef] [PubMed]
- E. Centeno and D. Felbacq, "Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals," J. Opt. Soc. Am. A 17, 320-327 (2000). [CrossRef]
- D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A 11, 2526-2533 (1994). [CrossRef]
- H. A. Yousif and S. Kohler, "Scattering by two penetrable cylinders at oblique incidence," J. Opt. Soc. Am. A 5, 1085-1096 (1988). [CrossRef]
- L.-M. Li and Z.-Q. Zhang, "Multiple-scattering approach to finite-sized photonic bandgap materials," Phys. Rev. B 58, 9587-9590 (1998). [CrossRef]
- E. Centeno and D. Felbacq, "Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity," Phys. Rev. B 62, R7683-R7686 (2000). [CrossRef]
- P. Xie and Z.-Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91, 213904-213908 (2003). [CrossRef] [PubMed]
- C. I. Valencia, E. R. Méndez, and B. S. Mendoza, "Second-harmonic generation in the scattering of light by an infinite cylinder," J. Opt. Soc. Am. B 21, 36-44 (2004). [CrossRef]
- M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1970).
- H. Schmidt, A. C. Abare, J. E. Bowers, S. P. Denbaars, and A. Imamoglu, "Large interband second-order susceptibilities in InxGa1−xN/GaN quantum wells," Appl. Phys. Lett. 75, 3611-3613 (1999). [CrossRef]
- S. Johnson and J. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001). [CrossRef] [PubMed]
- N. Antoine-Vincent, N. Natali, M. Mihailovic, A. Vasson, J. Leymarie, P. Disseix, D. Byrne, F. Semond, and J. Massies, "Determination of the refractive indices of AlN, GaN, and AlxGa1−xN grown on (111)Si substrates," J. Appl. Phys. 93, 5222-5226 (2003). [CrossRef]
- A. L. Cabuz, E. Centeno, and D. Cassagne, "Superprism effect in bidimensional rectangular photonic crystals," Appl. Phys. Lett. 84, 2031-2033 (2004). [CrossRef]
- E. Centeno and D. Cassagne, "Graded photonic crystals," Opt. Lett. 30, 2278-2280 (2005). [CrossRef] [PubMed]

**Abare, A. C.**

- H. Schmidt, A. C. Abare, J. E. Bowers, S. P. Denbaars, and A. Imamoglu, "Large interband second-order susceptibilities in InxGa1−xN/GaN quantum wells," Appl. Phys. Lett. 75, 3611-3613 (1999). [CrossRef]

**Abram, I.**

- Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Mériadec, and A. Levenson, "Phase-matched frequency doubling at photonic band edges: efficiency scaling as the fifth power of the length," Phys. Rev. Lett. 89, 43901-43904 (2002). [CrossRef]

**Abramovitz, M.**

- M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1970).

**Adibi, B. A.**

- B. Momeni and B. A. Adibi, "Optimization of photonic crystal demultiplexers based on the superprism effect," Appl. Phys. B 77, 555-560 (2003). [CrossRef]

**Agio, M.**

- A. Talneau, L. Le Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55μm," Appl. Phys. Lett. 80, 547-549 (2002). [CrossRef]

**Albert, J. P.**

- J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Briot, M. Le Vassor d'Yerville, E. Centeno, D. Cassagne, and J. P. Albert, "Giant second-harmonic generation in a one-dimensional GaN photonic crystal," Phys. Rev. B 69, 085105-085113 (2004). [CrossRef]

**Andreani, L. C.**

- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizetti, L. C. Andreani, F. Romanato, L. Businaro, E. DiFabrizio, A. Passaseo, and M. De Vittorio, "Resonant second-harmonic generation in a GaAs photonic crystal waveguide," Phys. Rev. B 68, 161306-161310 (2003). [CrossRef]

**Antoine-Vincent, N.**

- N. Antoine-Vincent, N. Natali, M. Mihailovic, A. Vasson, J. Leymarie, P. Disseix, D. Byrne, F. Semond, and J. Massies, "Determination of the refractive indices of AlN, GaN, and AlxGa1−xN grown on (111)Si substrates," J. Appl. Phys. 93, 5222-5226 (2003). [CrossRef]

**Aydin, K.**

- E. Ozbay, I. Bulu, K. Aydin, H. Caglayan, and K. Guven, "Physics and applications of photonic crystals," Photonics Nanostruct. Fundam. Appl. 2, 87-95 (2004). [CrossRef]

**Baba, T.**

**Berger, V.**

- V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998). [CrossRef]

**Bertolotti, M.**

- G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to chi(2) interactions," Phys. Rev. E 64, 016609-016618 (2001). [CrossRef]
- M. Centini, C. Sibilia, M. Scalora, G. D'Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, "Dispersive properties of finite one-dimensional photonic bandgap structures: applications to nonlinear quadratic interactions," Phys. Rev. E 60, 4891-4898 (1999). [CrossRef]

**Bloemer, M. J.**

- G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to chi(2) interactions," Phys. Rev. E 64, 016609-016618 (2001). [CrossRef]
- M. Centini, C. Sibilia, M. Scalora, G. D'Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, "Dispersive properties of finite one-dimensional photonic bandgap structures: applications to nonlinear quadratic interactions," Phys. Rev. E 60, 4891-4898 (1999). [CrossRef]
- M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, "Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures," Phys. Rev. A 56, 3166-3174 (1997). [CrossRef]

**Bouadma, N.**

- A. Talneau, L. Le Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, and M. Agio, "Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55μm," Appl. Phys. Lett. 80, 547-549 (2002). [CrossRef]

**Bowden, C. M.**

- M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, "Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures," Phys. Rev. A 56, 3166-3174 (1997). [CrossRef]

**Bowers, J. E.**

- H. Schmidt, A. C. Abare, J. E. Bowers, S. P. Denbaars, and A. Imamoglu, "Large interband second-order susceptibilities in InxGa1−xN/GaN quantum wells," Appl. Phys. Lett. 75, 3611-3613 (1999). [CrossRef]

**Briot, O.**

- J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Briot, M. Le Vassor d'Yerville, E. Centeno, D. Cassagne, and J. P. Albert, "Giant second-harmonic generation in a one-dimensional GaN photonic crystal," Phys. Rev. B 69, 085105-085113 (2004). [CrossRef]

**Bulu, I.**

- E. Ozbay, I. Bulu, K. Aydin, H. Caglayan, and K. Guven, "Physics and applications of photonic crystals," Photonics Nanostruct. Fundam. Appl. 2, 87-95 (2004). [CrossRef]

**Businaro, L.**

- A. M. Malvezzi, G. Vecchi, M. Patrini, G. Guizetti, L. C. Andreani, F. Romanato, L. Businaro, E. DiFabrizio, A. Passaseo, and M. De Vittorio, "Resonant second-harmonic generation in a GaAs photonic crystal waveguide," Phys. Rev. B 68, 161306-161310 (2003). [CrossRef]

**Byrne, D.**

- N. Antoine-Vincent, N. Natali, M. Mihailovic, A. Vasson, J. Leymarie, P. Disseix, D. Byrne, F. Semond, and J. Massies, "Determination of the refractive indices of AlN, GaN, and AlxGa1−xN grown on (111)Si substrates," J. Appl. Phys. 93, 5222-5226 (2003). [CrossRef]

**Cabuz, A. L.**

- A. L. Cabuz, E. Centeno, and D. Cassagne, "Superprism effect in bidimensional rectangular photonic crystals," Appl. Phys. Lett. 84, 2031-2033 (2004). [CrossRef]

**Caglayan, H.**

**Cassagne, D.**

- E. Centeno and D. Cassagne, "Graded photonic crystals," Opt. Lett. 30, 2278-2280 (2005). [CrossRef] [PubMed]
- A. L. Cabuz, E. Centeno, and D. Cassagne, "Superprism effect in bidimensional rectangular photonic crystals," Appl. Phys. Lett. 84, 2031-2033 (2004). [CrossRef]

**Cassan, E.**

**Centeno, E.**

- E. Centeno, "Second-harmonic superprism effect in photonic crystals," Opt. Lett. 30, 1054-1056 (2005). [CrossRef] [PubMed]
- E. Centeno and D. Cassagne, "Graded photonic crystals," Opt. Lett. 30, 2278-2280 (2005). [CrossRef] [PubMed]
- E. Centeno and D. Felbacq, "Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals," J. Opt. Soc. Am. A 17, 320-327 (2000). [CrossRef]
- E. Centeno and D. Felbacq, "Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity," Phys. Rev. B 62, R7683-R7686 (2000). [CrossRef]

**Centini, M.**

**Chen, J. C.**

- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996). [CrossRef] [PubMed]

**Chen, Y.**

**Cheng, C.**

- F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109-245113 (2004). [CrossRef]

**Chow, E.**

**Coquillat, D.**

**Corbolan, R.**

- J. Martorell, R. Vilaseca, and R. Corbolan, "Second-harmonic generation in a photonic crystal," Appl. Phys. Lett. 70, 702-704 (1997). [CrossRef]

**Cordobàn, R.**

**Cowan, A. R**

- A. R Cowan and J. F. Young, "Mode matching for second-harmonic generation in photonic crystal waveguides," Phys. Rev. B 65, 85106-85112 (2002). [CrossRef]

**D'Aguanno, G.**

**Denbaars, S. P.**

**DiFabrizio, E.**

**Disseix, P.**

**Dowling, J. P.**

**Dumeige, Y.**

- Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Mériadec, and A. Levenson, "Phase-matched frequency doubling at photonic band edges: efficiency scaling as the fifth power of the length," Phys. Rev. Lett. 89, 43901-43904 (2002). [CrossRef]

**Fan, S.**

- S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Hauss, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998). [CrossRef]
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996). [CrossRef] [PubMed]

**Fedeli, J. M.**

**Felbacq, D.**

- E. Centeno and D. Felbacq, "Optical bistability in finite-size nonlinear bidimensional photonic crystals doped by a microcavity," Phys. Rev. B 62, R7683-R7686 (2000). [CrossRef]
- E. Centeno and D. Felbacq, "Rigorous vector diffraction of electromagnetic waves by bidimensional photonic crystals," J. Opt. Soc. Am. A 17, 320-327 (2000). [CrossRef]
- D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A 11, 2526-2533 (1994). [CrossRef]

**Fujita, S.**

**Gouezigou, L. Le**

**Guizetti, G.**

**Guven, K.**

**Haus, J. W.**

**Hauss, H. A.**

- S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Hauss, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960-963 (1998). [CrossRef]

**Hirao, K.**

- F. Ren, R. Li, C. Cheng, H. Wang, J. Qiu, J. Si, and K. Hirao, "Giant enhancement of second harmonic generation in a finite photonic crystal with a single defect and dual-localized modes," Phys. Rev. B 70, 245109-245113 (2004). [CrossRef]

**Imamoglu, A.**

**Jiang, Z. M.**

- B. Shi, Z. M. Jiang, X. F. Zhou, and X. Wang, "A two-dimensional nonlinear photonic crystal for strong second-harmonic generation," J. Appl. Phys. 91, 6769-6771 (2002). [CrossRef]

**Joannopoulos, J.**

**Joannopoulos, J. D.**

- S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, "Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5-μm wavelength," Opt. Lett. 25, 1297-1299 (2000). [CrossRef]
- J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, 1995).

**John, S.**

- S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]

**Johnson, S.**

**Johnson, S. G.**

**Kafesaki, M.**

**Kawakami, S.**

- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystal," Phys. Rev. B 58, R10096-R10099 (1998). [CrossRef]

**Kawashima, T.**

- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering," Appl. Phys. Lett. 74, 1370-1372 (1999). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystal," Phys. Rev. B 58, R10096-R10099 (1998). [CrossRef]

**Kohler, S.**

**Kosaka, H.**

**Kurland, I.**

**Lascaray, J. P.**

**Laval, S.**

**Legros, R.**

**Levenson, A.**

**Levenson, J. A.**

**Leymarie, J.**

**Li, L.-M.**

- L.-M. Li and Z.-Q. Zhang, "Multiple-scattering approach to finite-sized photonic bandgap materials," Phys. Rev. B 58, 9587-9590 (1998). [CrossRef]

**Li, R.**

**Lin, S. Y.**

**Lupu, A.**

**Lyan, P.**

**Malvezzi, A. M.**

**Manka, A. S.**

**Martorell, J.**

- J. Martorell, R. Vilaseca, and R. Corbolan, "Second-harmonic generation in a photonic crystal," Appl. Phys. Lett. 70, 702-704 (1997). [CrossRef]
- J. Trull, R. Vilaseca, J. Martorell, and R. Cordobàn "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1750 (1995). [CrossRef] [PubMed]

**Massies, J.**

**Matsumoto, T.**

**Maystre, D.**

**Meade, R.**

- J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, 1995).

**Mekis, A.**

**Melhaoui, L. El.**

**Méndez, E. R.**

**Mendoza, B. S.**

**Mériadec, C.**

**Mihailovic, M.**

**Ming, N. B.**

- S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997). [CrossRef]

**Momeni, B.**

- B. Momeni and B. A. Adibi, "Optimization of photonic crystal demultiplexers based on the superprism effect," Appl. Phys. B 77, 555-560 (2003). [CrossRef]

**Monnier, P.**

**Nada, N.**

- M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993). [CrossRef]

**Natali, N.**

**Nefedov, I.**

**Noda, S.**

- S. Noda, "Three-dimensional photonic crystals operating at optical wavelength region," Physica B 279, 142-149 (2000). [CrossRef]

**Notomi, M.**

**Ozbay, E.**

**Passaseo, A.**

**Patrini, M.**

**Peyrade, D.**

**Qiu, J.**

**Ren, F.**

**Romanato, F.**

**Sagnes, I.**

**Saitoh, M.**

- M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, "First-order quasi-phase matched LiNbO3 waveguide periodically poled by applying an external field for efficient blue second-harmonic generation," Appl. Phys. Lett. 62, 435-436 (1993). [CrossRef]

**Sato, T.**

**Scalbert, D.**

**Scalora, M.**

**Schmidt, H.**

**Semond, F.**

**Shi, B.**

- B. Shi, Z. M. Jiang, X. F. Zhou, and X. Wang, "A two-dimensional nonlinear photonic crystal for strong second-harmonic generation," J. Appl. Phys. 91, 6769-6771 (2002). [CrossRef]

**Si, J.**

**Sibilia, C.**

**Soukoulis, C. M.**

**Stegun, I.**

- M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1970).

**Talneau, A.**

**Tamamura, T.**

**Tayeb, G.**

**Teppe, F.**

**Tomita, A.**

**Torres, J.**

**Trull, J.**

**Valencia, C. I.**

**Vasson, A.**

**Vassor d'Yerville, M. Le**

**Vecchi, G.**

**Vidakovic, P.**

**Vilaseca, R.**

- J. Trull, R. Vilaseca, J. Martorell, and R. Cordobàn "Second-harmonic generation in local modes of a truncated periodic structure," Opt. Lett. 20, 1746-1750 (1995). [CrossRef] [PubMed]

**Villeneuve, P. R.**

**Viswanathan, R.**

**Vittorio, M. De**

**Wang, H.**

**Wang, X.**

**Watanabe, K.**

**Winn, J.**

- J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, 1995).

**Xie, P.**

- P. Xie and Z.-Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91, 213904-213908 (2003). [CrossRef] [PubMed]

**Yablonovitch, E.**

- E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]

**Yamada, M.**

**Young, J. F.**

- A. R Cowan and J. F. Young, "Mode matching for second-harmonic generation in photonic crystal waveguides," Phys. Rev. B 65, 85106-85112 (2002). [CrossRef]

**Yousif, H. A.**

**Zhang, Z.-Q.**

- P. Xie and Z.-Q. Zhang, "Multifrequency gap solitons in nonlinear photonic crystals," Phys. Rev. Lett. 91, 213904-213908 (2003). [CrossRef] [PubMed]
- L.-M. Li and Z.-Q. Zhang, "Multiple-scattering approach to finite-sized photonic bandgap materials," Phys. Rev. B 58, 9587-9590 (1998). [CrossRef]

**Zhou, X. F.**

**Zhu, S. N.**

- S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997). [CrossRef]

**Zhu, Y. Y.**

### Appl. Phys. B

### Appl. Phys. Lett.

### J. Appl. Phys.

### J. Opt. Soc. Am. A

- D. Felbacq, G. Tayeb, and D. Maystre, "Scattering by a random set of parallel cylinders," J. Opt. Soc. Am. A 11, 2526-2533 (1994). [CrossRef]
- H. A. Yousif and S. Kohler, "Scattering by two penetrable cylinders at oblique incidence," J. Opt. Soc. Am. A 5, 1085-1096 (1988). [CrossRef]

### J. Opt. Soc. Am. B

- C. I. Valencia, E. R. Méndez, and B. S. Mendoza, "Second-harmonic generation in the scattering of light by an infinite cylinder," J. Opt. Soc. Am. B 21, 36-44 (2004). [CrossRef]

### Opt. Express

- A. Lupu, E. Cassan, S. Laval, L. El. Melhaoui, P. Lyan, J. M. Fedeli, "Experimental evidence for superprism phenomena in SOI photonic crystals," Opt. Express 12, 5690-5696 (2004). [CrossRef] [PubMed]
- S. Johnson and J. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001). [CrossRef] [PubMed]
- T. Matsumoto, S. Fujita, and T. Baba, "Wavelength demultiplexer consisting of photonic crystal superprism and superlens," Opt. Express 13, 10768-10776 (2005). [CrossRef] [PubMed]

### Opt. Lett.

- S. Y. Lin, E. Chow, S. G. Johnson, and J. D. Joannopoulos, "Demonstration of highly efficient waveguiding in a photonic crystal slab at the 1.5-μm wavelength," Opt. Lett. 25, 1297-1299 (2000). [CrossRef]
- E. Centeno, "Second-harmonic superprism effect in photonic crystals," Opt. Lett. 30, 1054-1056 (2005). [CrossRef] [PubMed]

### Photonics Nanostruct. Fundam. Appl.

### Phys. Rev. A

### Phys. Rev. B

### Phys. Rev. E

### Phys. Rev. Lett.

- V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998). [CrossRef]
- E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
- S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]

### Physica B

- S. Noda, "Three-dimensional photonic crystals operating at optical wavelength region," Physica B 279, 142-149 (2000). [CrossRef]

### Science

### Other

- C.M.Soukoulis, ed., Photonic Band Gap Materials, Vol. 315 of the NATO Advanced Study Institute Series E: Applied Sciences (Kluwer, 1996).
- J. D. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton U. Press, 1995).
- M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1970).

**2005, Centeno, Opt. Lett.**

**2005, Centeno, Opt. Lett.**

**2005, Matsumoto, Opt. Express**

**2004, Valencia, J. Opt. Soc. Am. B**

**2004, Lupu, Opt. Express**

**2004, Ozbay, Photonics Nanostruct. Fundam. Appl.**

**2004, Torres, Phys. Rev. B**

**2004, Ren, Phys. Rev. B**

**2004, Cabuz, Appl. Phys. Lett.**

**2003, Xie, Phys. Rev. Lett.**

**2003, Antoine-Vincent, J. Appl. Phys.**

**2003, Malvezzi, Phys. Rev. B**

**2003, Momeni, Appl. Phys. B**

**2002, Shi, J. Appl. Phys.**

**2002, Dumeige, Phys. Rev. Lett.**

**2002, Cowan, Phys. Rev. B**

**2002, Talneau, Appl. Phys. Lett.**

**2001, D'Aguanno, Phys. Rev. E**

**2001, Johnson, Opt. Express**

**2000, Centeno, Phys. Rev. B**

**2000, Lin, Opt. Lett.**

**2000, Centeno, J. Opt. Soc. Am. A**

**2000, Noda, Physica B**

**1999, Centini, Phys. Rev. E**

**1999, Kosaka, Appl. Phys. Lett.**

**1999, Schmidt, Appl. Phys. Lett.**

**1998, Li, Phys. Rev. B**

**1998, Berger, Phys. Rev. Lett.**

- V. Berger, "Nonlinear photonic crystals," Phys. Rev. Lett. 81, 4136-4139 (1998). [CrossRef]

**1998, Kosaka, Phys. Rev. B**

**1998, Fan, Phys. Rev. Lett.**

**1997, Zhu, Science**

**1997, Scalora, Phys. Rev. A**

**1997, Martorell, Appl. Phys. Lett.**

**1996, Mekis, Phys. Rev. Lett.**

**1995, Trull, Opt. Lett.**

**1994, Felbacq, J. Opt. Soc. Am. A**

**1993, Yamada, Appl. Phys. Lett.**

**1988, Yousif, J. Opt. Soc. Am. A**

**1987, Yablonovitch, Phys. Rev. Lett.**

**1987, John, Phys. Rev. Lett.**

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

### Related Journal Articles

- Cascaded waveguide phase-matching arrangement (OL)
- Simultaneous optical wavelength interchange with a two-dimensional second-order nonlinear photonic crystal (OL)
- Poling and characterization of polymer waveguides for modal dispersion phase-matched second-harmonic generation (JOSAB)
- Leaky-waveguide configuration for quasi-phase-matched second-harmonic generation (JOSAB)
- Second-harmonic superprism effect in photonic crystals (OL)

### Related Conference Papers

- Proton Exchange Channel Waveguides Compatible with Surface Domain Engineering in Lithium Niobate Crystals
- Improvement on tuning ranges and output powers of THz waves based difference-frequency generation in GaSe
- Improvement on tuning ranges and output powers of THz waves based difference-frequency generation in GaSe
- High-energy short-pulse diode-pumped Nd:YVO4 laser and its application for material science and biomedical imaging
- High-energy short-pulse diode-pumped Nd:YVO4 laser and its application for material science and biomedical imaging
- Efficient Phase Matched Second Harmonic Generation through Rotated Periodic Poling in LiNbO3 Waveguides
- Domain switching performance of stoichiometric LiTa0
_{3}for bulk quasi-phase matching devices - Domain switching performance of stoichiometric LiTa0
_{3}for bulk quasi-phase matching devices

« Previous Article | Next Article »

OSA is a member of CrossRef.

- Firefox 11+
- Google Chrome 17+
- Internet Explorer 9+
- Safari 5+