Milton Abramowitz and Irene A Stegun, eds., Handbook of Mathematical Functions with Formu- las, Graphs, and Mathematical Tables[M]. Dover: New York, 1972.
[2]
Colton D and Kress R. Integral Equation Methods in Scattering Theory[M]. John Wiley and sons, New York, 1983.
[3]
Colton D and Kress R. Inverse Acoustic and Electromagnetic Scattering Theory[M]. Spring-Verlag, Berlin, 1992.
[4]
Kress R. Boundary integral equation in time-harmonic acoustic scattering[J]. Mathematical and Computer Modelling, 1991, 15(3-5): 229-243.
[5]
Kress R and Roach G F. Transmission Probelms for The Helmoltz Equation[J]. Journal of Math- ematical Physics, 1978, 19: 1433-1437.
[6]
Venakides S, Haider M A and Papanicolaou V. Boundary integral calculations of 2-D electromag- netic scattering by photonic crystal Fabry-Perot structures[J]. SIAM Journal on Applied Mathe- matics, 2000, 60: 1686-1706.
[7]
Haider M A, Venakides S and Shipman S P. Boundary-Integral Calculations of Two-Dimensional Electromagnetic Scattering in Infinite Photonic Crystal Slabs: Channel Defects and SIAM Journal on Applied Mathematics, 2002, 62(6): 2129-2148.
[8]
Otani Y and Nishimura N. An FMM for periodic boundary value problems for cracks for Helmholtz' equation in 2D[J]. International Journal for Numerical Methods in Engineering, 2008, 73: 381-406.
[9]
Barnett A and Greengard L. A new integral representation for quasi-periodic fields and its appli- cation to two-dimensional band structure calculations[J]. Journal of Computational Physics, 2010, 229: 6898-6914.
[10]
Barnett A and Greengard L. A New Integral Representation for Quasi-Periodic Scattering Prob- lems in Two Dimensions[J]. BIT Numerical Mathematics, 2011, 51: 67-90.
[11]
Gillman A and Barnett A. A fast direct solver for quasi-periodic scattering problems[J]. Journal of Computational Physics, 2013, 248: 309-322.
[12]
Filippo Capolino, Donald R Wilton and William A Johnson, Efficient Computation of the 2-D Green's Function for 1-D Periodic Structures Using the Ewald Method[J]. IEEE Transactions on antennas and propagation, 2005, 53(9): 2977-2984.
[13]
Guido Valerio, Paolo Baccarelli, Paolo Burghignoli and Alessandro Galli. Comparative Analysis of Acceleration Techniques for 2-D and 3-D Green's Functions in Periodic Structures Along One and Two Directions[J]. IEEE Transactions on antennas and propagation, 2007, 55(6): 1630-1642.
[14]
Hazewinkel, M.(Ed.), Encyclopaedia of Mathematics[M]. Vol.1(A-B), Kluwer, 1987.Resonances[J].
