J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Medium (Springer, 2007).

G. Baruch, G. Fibich, and S. Tsynkov, “High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension,” J. Comput. Phys. 227, 820–850 (2007).

[CrossRef]

A. Suryanto, E. V. Groesen, M. Hammer, and H. J. W. M. Hoekstra, “A finite element scheme to study the nonlinear optical response of a finite grating without and with defect,” Opt. Quantum Electron. 35, 313–332 (2003).

[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[CrossRef]

A. Taflove and S. C. HagnessComputational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2000).

P. Yeh, Optical Waves in Layered Media (Wiley, 1998).

P. Tran, “Optical limiting and switching of short pulses by use of a nonlinear photonic bandgap structure with a defect,” J. Opt. Soc. Am. B 14, 2589–2595 (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]

K. Yamamoto, K. Mizuuchi, Y. Kitaoka, and M. Kato, “Highly efficient quasi-phase-matched second-harmonic generation by frequency doubling of a high-frequency superimposed laser diode,” Opt. Lett. 20, 273–275 (1995).

[CrossRef]
[PubMed]

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

M. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today 47, 25–32 (1994).

[CrossRef]

G. Bao and D. Dobson, “Second harmonic generation in nonlinear optical films,” J. Math. Phys. 35, 1623–1633 (1994).

[CrossRef]

A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, 1993).

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–486 (1970).

[CrossRef]

N. Bloembergen, Nonlinear Optics (Benjamin, 1965).

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–120 (1961).

[CrossRef]

G. Bao and D. Dobson, “Second harmonic generation in nonlinear optical films,” J. Math. Phys. 35, 1623–1633 (1994).

[CrossRef]

G. Baruch, G. Fibich, and S. Tsynkov, “High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension,” J. Comput. Phys. 227, 820–850 (2007).

[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[CrossRef]

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–486 (1970).

[CrossRef]

N. Bloembergen, Nonlinear Optics (Benjamin, 1965).

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[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]

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[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]

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[CrossRef]

G. Bao and D. Dobson, “Second harmonic generation in nonlinear optical films,” J. Math. Phys. 35, 1623–1633 (1994).

[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. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today 47, 25–32 (1994).

[CrossRef]

G. Baruch, G. Fibich, and S. Tsynkov, “High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension,” J. Comput. Phys. 227, 820–850 (2007).

[CrossRef]

J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Medium (Springer, 2007).

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–120 (1961).

[CrossRef]

J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Medium (Springer, 2007).

A. Suryanto, E. V. Groesen, M. Hammer, and H. J. W. M. Hoekstra, “A finite element scheme to study the nonlinear optical response of a finite grating without and with defect,” Opt. Quantum Electron. 35, 313–332 (2003).

[CrossRef]

A. Taflove and S. C. HagnessComputational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2000).

A. Suryanto, E. V. Groesen, M. Hammer, and H. J. W. M. Hoekstra, “A finite element scheme to study the nonlinear optical response of a finite grating without and with defect,” Opt. Quantum Electron. 35, 313–332 (2003).

[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]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–120 (1961).

[CrossRef]

A. Suryanto, E. V. Groesen, M. Hammer, and H. J. W. M. Hoekstra, “A finite element scheme to study the nonlinear optical response of a finite grating without and with defect,” Opt. Quantum Electron. 35, 313–332 (2003).

[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]

A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, 1993).

J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Medium (Springer, 2007).

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–120 (1961).

[CrossRef]

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[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]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[CrossRef]

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–486 (1970).

[CrossRef]

J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Medium (Springer, 2007).

A. Suryanto, E. V. Groesen, M. Hammer, and H. J. W. M. Hoekstra, “A finite element scheme to study the nonlinear optical response of a finite grating without and with defect,” Opt. Quantum Electron. 35, 313–332 (2003).

[CrossRef]

A. Taflove and S. C. HagnessComputational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2000).

G. Baruch, G. Fibich, and S. Tsynkov, “High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension,” J. Comput. Phys. 227, 820–850 (2007).

[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]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–120 (1961).

[CrossRef]

P. Yeh, Optical Waves in Layered Media (Wiley, 1998).

D. Blanc, A. M. Bouchoux, C. Plumereau, A. Cachard, and J. F. Roux, “Phase-matched frequency doubling in an aluminum nitride waveguide with a tunable laser source,” Appl. Phys. Lett. 66, 659–661 (1995).

[CrossRef]

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–486 (1970).

[CrossRef]

G. Baruch, G. Fibich, and S. Tsynkov, “High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension,” J. Comput. Phys. 227, 820–850 (2007).

[CrossRef]

G. Bao and D. Dobson, “Second harmonic generation in nonlinear optical films,” J. Math. Phys. 35, 1623–1633 (1994).

[CrossRef]

A. Suryanto, E. V. Groesen, M. Hammer, and H. J. W. M. Hoekstra, “A finite element scheme to study the nonlinear optical response of a finite grating without and with defect,” Opt. Quantum Electron. 35, 313–332 (2003).

[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]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. Bloemer, and C. Bowden, “Energy exchange properties during second-harmonic generation in finite one-dimensional photonic band-gap structure with deep gratings,” Phys. Rev. E 67, 016606 (2003).

[CrossRef]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–120 (1961).

[CrossRef]

M. M. Fejer, “Nonlinear optical frequency conversion,” Phys. Today 47, 25–32 (1994).

[CrossRef]

P. Yeh, Optical Waves in Layered Media (Wiley, 1998).

J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Medium (Springer, 2007).

A. H. Nayfeh, Introduction to Perturbation Techniques (Wiley, 1993).

N. Bloembergen, Nonlinear Optics (Benjamin, 1965).

A. Taflove and S. C. HagnessComputational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2000).