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Volumn 15, Issue 6, 2013, Pages

Diffraction of bloch wave packets for maxwell's equations

Author keywords

Bloch waves; Diffraction; Diffractive geometric optics; Electromagnetism; Geometric optics; Maxwell's equations

Indexed keywords


EID: 84888184271     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199713500405     Document Type: Article
Times cited : (8)

References (30)
  • 1
    • 70349652355 scopus 로고    scopus 로고
    • Diffractive behavior of the wave equation in periodic media: Weak convergence analysis
    • G. Allaire, M. Palombaro and J. Rauch, Diffractive behavior of the wave equation in periodic media: Weak convergence analysis, Ann. Mat. Pura Appl. 188 (2009) 561-590.
    • (2009) Ann. Mat. Pura Appl. , vol.188 , pp. 561-590
    • Allaire, G.1    Palombaro, M.2    Rauch, J.3
  • 4
    • 20644435366 scopus 로고    scopus 로고
    • Homogenization of the Schrodinger equation and effective mass theorems
    • DOI 10.1007/s00220-005-1329-2
    • G. Allaire and A. Piatnitski, Homogenization of the Schrödinger equation and effective mass theorems, Comm. Math Phys. 258 (2005) 1-22. (Pubitemid 40837147)
    • (2005) Communications in Mathematical Physics , vol.258 , Issue.1 , pp. 1-22
    • Allaire, G.1    Piatnitski, A.2
  • 5
    • 17944365323 scopus 로고    scopus 로고
    • Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays
    • H. Altug and J. Vuckovic, Experimental demonstration of the slow group velocity of light in two-dimensional coupled photonic crystal microcavity arrays, Appl. Phys. Lett. 86 (2004) 111102-1-111102-3.
    • (2004) Appl. Phys. Lett. , vol.86 , pp. 1111021-1111023
    • Altug, H.1    Vuckovic, J.2
  • 6
    • 0347185346 scopus 로고    scopus 로고
    • Stationary pulses of light in an atomic medium
    • DOI 10.1038/nature02176
    • M. Bajcsy, A. Zibrov and M. Lukin, Stationary pulses of light in an atomic medium, Nature 426 (2003) 638-641. (Pubitemid 38009366)
    • (2003) Nature , vol.426 , Issue.6967 , pp. 638-641
    • Bajcsy, M.1    Zibrov, A.S.2    Lukin, M.D.3
  • 7
    • 0038134927 scopus 로고    scopus 로고
    • A general framework for diffractive optics and its applications to lasers with large spectrums and short pulses
    • DOI 10.1137/S0036141001398976, PII S0036141001398976
    • K. Barrailh and D. Lannes, A general framework for diffractive optics and its applications to lasers with large spectrum and short pulses, SIAM J. Math. Anal. 34(3) (2003) 636-674. (Pubitemid 36607681)
    • (2003) SIAM Journal on Mathematical Analysis , vol.34 , Issue.3 , pp. 636-674
    • Barrailh, K.1    Lannes, D.2
  • 9
    • 34250940025 scopus 로고
    • Uber die quantenmechanik der electronen in kristallgittern
    • F. Bloch, Uber die quantenmechanik der electronen in kristallgittern, Z. Phys. 52 (1928) 555-600.
    • (1928) Z. Phys. , vol.52 , pp. 555-600
    • Bloch, F.1
  • 11
  • 13
    • 0003001490 scopus 로고
    • Sur les équations différentielles linéaires à coefficients périodiques
    • G. Floquet, Sur les équations différentielles linéaires à coefficients périodiques, Ann. Sci. École Norm. Sup. Sér. (2) 12 (1883) 47-89.
    • (1883) Ann. Sci. École Norm. Sup. Sér. (2) , vol.12 , pp. 47-89
    • Floquet, G.1
  • 15
    • 5644261015 scopus 로고
    • Third supplement to an essay on the theory of systems of rays
    • W. R. Hamilton, Third supplement to an essay on the theory of systems of rays, Trans. Roy. Irish Acad. 17 (1833) 1-144.
    • (1833) Trans. Roy. Irish Acad. , vol.17 , pp. 1-144
    • Hamilton, W.R.1
  • 16
    • 0000755084 scopus 로고    scopus 로고
    • Light speed reduction to 17 metres per second in an ultracold atomic gas
    • DOI 10.1038/17561
    • L. V. Hau, S. E. Harris, Z. Dutton and C. Behroozi, Light speed reduction to 17 meters per second in an ultracold atomic gas, Nature 397 (1999) 594-598. (Pubitemid 29091940)
    • (1999) Nature , vol.397 , Issue.6720 , pp. 594-598
    • Vestergaard Hau, L.1    Harris, S.E.2    Dutton, Z.3    Behroozi, C.H.4
  • 17
    • 84974005262 scopus 로고
    • Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
    • J.-L. Joly, G. Métiver and J. Rauch, Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves, Duke Math J. 70 (1993) 373-404.
    • (1993) Duke Math J. , vol.70 , pp. 373-404
    • Joly, J.-L.1    Métiver, G.2    Rauch, J.3
  • 21
    • 0001325714 scopus 로고    scopus 로고
    • The mathematics of photonic crystals
    • Frontiers in Applied Mathematics SIAM, Philadelphia
    • P. Kuchment, The mathematics of photonic crystals, in Mathematical Modeling in Optical Science, Frontiers in Applied Mathematics, Vol. 22 (SIAM, Philadelphia, 2001), pp. 207-272.
    • (2001) Mathematical Modeling in Optical Science , vol.22 , pp. 207-272
    • Kuchment, P.1
  • 22
    • 84972538741 scopus 로고
    • Asymptotic solutions of oscillatory initial value problems
    • P. D. Lax, Asymptotic solutions of oscillatory initial value problems, Duke Math. J. 24 (1957) 627-646.
    • (1957) Duke Math. J. , vol.24 , pp. 627-646
    • Lax, P.D.1
  • 27
    • 33847170632 scopus 로고    scopus 로고
    • Photonic crystal fibers
    • P. St. J. Russell, Photonic crystal fibers, J. Lightwave. Technol. 24(12) (2006) 4729- 4749.
    • (2006) J. Lightwave. Technol. , vol.24 , Issue.12 , pp. 4729-4749
    • St., P.1    Russell, J.2
  • 30
    • 51249187120 scopus 로고
    • Theory of Bloch waves
    • C. Wilcox, Theory of Bloch waves, J. Anal. Math. 33 (1978) 146-167.
    • (1978) J. Anal. Math. , vol.33 , pp. 146-167
    • Wilcox, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.