Sobolev spaces, 2003. ,
Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N -body Schrödinger operators, volume 29 of Mathematical Notes, 1982. ,
DOI : 10.1515/9781400853076
A quantitative analysis of self-collimation effects in planar photonic crystals, Journal of Applied Physics, vol.99, issue.9, pp.96108-96109, 2006. ,
DOI : 10.1063/1.2193333
Compact wavelength demultiplexing using focusing negative index photonic crystal superprisms, Optics Express, vol.14, issue.6, pp.2413-2422, 2006. ,
DOI : 10.1364/OE.14.002413
Absolute Continuity in Periodic Thin Tubes and Strongly Coupled Leaky Wires, Letters in Mathematical Physics, vol.65, issue.1, pp.75-82, 2003. ,
DOI : 10.1023/A:1027362115133
A limiting absorption principle for scattering problems with unbounded obstacles, Mathematical Methods in the Applied Sciences, vol.326, issue.14, pp.1089-1111, 2001. ,
DOI : 10.1002/mma.259
On the identification of defects in a periodic waveguide from far field data, Inverse Problems, vol.30, issue.9, p.95004, 2014. ,
DOI : 10.1088/0266-5611/30/9/095004
URL : https://hal.archives-ouvertes.fr/hal-00914674
The limiting absorption and amplitude principles for the diffraction problem with two unbounded media, Communications in Mathematical Physics, vol.15, issue.3, pp.29-38, 1986. ,
DOI : 10.1007/BF01206952
On the principle of limiting absorption, 1963. ,
Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media, Applied Numerical Mathematics, vol.59, issue.9, 2008. ,
DOI : 10.1016/j.apnum.2008.12.013
URL : https://hal.archives-ouvertes.fr/hal-00873067
Etude mathématique et numérique de la propagation des ondes dans un milieu p` eriodique présentant un défaut, 2009. ,
The Mourre Theory for Analytically Fibered Operators, Journal of Functional Analysis, vol.152, issue.1, pp.202-219, 1998. ,
DOI : 10.1006/jfan.1997.3154
Elliptic problems in nonsmooth domains, SIAM, vol.69, 2011. ,
DOI : 10.1137/1.9781611972030
The Limiting Absorption Principle for a Periodic Semi-Infinite Waveguide, SIAM Journal on Applied Mathematics, vol.71, issue.3, pp.791-810, 2011. ,
DOI : 10.1137/100791798
Principe d'absorption limite pour l'opérateur de Laplace-Dirichlet sur un ouvert au bord périodique, Math. Rep. (Bucur.), vol.5, issue.553, pp.239-249, 2003. ,
Multiple commutator estimates and resolvent smoothness in quantum scattering theory, Ann. Inst. H. Poincaré Phys. Théor, vol.41, issue.2, pp.207-225, 1984. ,
Photonic Crystal - Molding the Flow of Light, 1995. ,
Photonic Crystal -The road from theory to practice, 2002. ,
Exact boundary conditions for periodic waveguides containing a local perturbation, Commun. Comput. Phys, vol.1, issue.6, pp.945-973, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00977852
Absolute continuity of the spectrum of a periodic schrdinger operator in a multidimensional cylinder, Algebra i Analiz, vol.21, pp.133-152, 2009. ,
Perturbation theory for linear operators, Classics in Mathematics, 1995. ,
Floquet theory for partial differential equations, volume 60 of Operator Theory: Advances and Applications, 1993. ,
The mathematics of photonic crystals (chapter 7, Mathematical modeling in optical science, 2001. ,
On some spectral problems of mathematical physics, Partial differential equations and inverse problems, pp.241-276 ,
DOI : 10.1090/conm/362/06617
Acoustic waves in perturbed periodic layer: a limiting absorption principle, Asymptot. Anal, vol.16, issue.1, pp.15-24, 1998. ,
On the principles of limiting absorption and limit amplitude for a class of locally perturbed waveguides. Part 1: Time-independent theory, Mathematical Methods in the Applied Sciences, vol.9, issue.2, pp.125-144, 1988. ,
DOI : 10.1002/mma.1670100203
Absence of singular continuous spectrum for certain self-adjoint operators, Communications in Mathematical Physics, vol.46, issue.3, pp.391-408, 1981. ,
DOI : 10.1007/BF01942331
On radiation conditions for selfadjoint elliptic problems, Dokl. Akad. Nauk SSSR, vol.311, issue.3, pp.532-536, 1990. ,
Radiation principles for selfadjoint elliptic problems, Probl. Mat. Fiz, vol.13, pp.192-244, 1991. ,
Elliptic problems in domains with piecewise smooth boundaries, 1994. ,
The mandelshtam energy radiation conditions and the umovpoynting vector in elastic waveguides, Probl. Mat. anal, vol.72, pp.101-146, 2013. ,
Umov-mandelshtam radiation conditions in elastic periodic waveguides, Sbornik: Mathematics, vol.205, issue.7, pp.953-982, 2014. ,
Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap, Physical Review B, vol.62, issue.16, pp.10696-10705, 2000. ,
DOI : 10.1103/PhysRevB.62.10696
Problems In the Sense of Riemann And Klein, 1964. ,
The principle of limit absorption and limit amplitude for periodic operators, 2009. ,
Methods of modern mathematical physics v. I-IV, pp.1972-1978 ,
Optical Properties of Photonic Crystals, 2001. ,
DOI : 10.1007/978-3-662-14324-7
Absolute continuity in periodic waveguides, Proc. London Math. Soc, vol.85, issue.33, pp.717-741, 2002. ,
On definite integrals and functions used in series expansions, 1873. ,
Absolute continuity of the spectrum of the magnetic schrödinger operator with a metric in a two-dimensional periodic waveguide, Algebra i Analiz, vol.14, pp.159-206, 2002. ,
Spectral and scattering theory for wave propagation in perturbed stratfied media, 1990. ,
Steady-state wave propagation in homogeneous anisotropic media, Archive for Rational Mechanics and Analysis, vol.25, issue.3, pp.201-242, 1967. ,
DOI : 10.1007/BF00251589
Sound propagation in stratified fluids, Applied Mathematical Sciences, issue.1, 1984. ,