Textbooks

  • 听by听Marek S. Wartak

  • 听by听Andrei V. Lavrinenko, Jesper L忙gsgaard, Niels Gregersen, Frank Schmidt, Thomas S酶ndergaard.

Both are availabe online through the 麻豆免费版下载library. 听I have tried to give direct links above, but if those fail, just look them up using the library search tool. 听

Optimization

  • Original paper by Nelder and Mead on simplex method:听J.A.听Nelder听and R. Mead, 鈥�,鈥� Computer Journal, Volume 7, Issue 4, 1965, pp. 308-313.听
  • Concise statement of algorithm plus convergence proof in 1 and 2 dimensions:听听J. C.听Lagarias, J. A. Reeds, M. H. Wright, P. E. Wright, 鈥�,鈥� SIAM J.听Optim., Vol. 9, No. 1, 1998,听pp. 112-147
  • Original paper on simulated annealing for finding equilibrium of atoms:听
  • Summary by the authors that applied it to optimization:听K. S. Yee, ",''听IEEE Trans. on Antennas and听Propagat., vol. 14, pp. 302-307, May 1966.

FDTD Method

Boundary conditions for the FDTD method

  • K. S. Yee, ",''听IEEE Trans. on Antennas and听Propagat., vol. 14, pp. 302-307, May 1966.
  • G. Mur, "," IEEE Trans. on Electromagnetic Compatibility, Vol. EMC-23, November 1981, pp. 377-382
  • B.听Engquist听and A.听Majda, "",听Math.听Comput.,听vol. 31, pp. 629-651, 1977.

Dispersive materials in FDTD method

  • R. J.听Luebbers, F.听Hunsberger, K. S. Kunz, R. B.听Standler, and M. Schneider.,听鈥溾��, IEEE Trans. on EM听Compat, V 32, N 3, Aug 1990

Anisotropic materials in the FDTD method

Nonlinear materials in the FDTD method

  • G. W.听Zheng听and K. S. Chen,听鈥�,鈥� Int. J. Infrared听Millim. Waves, vol. 13, no. 8, pp. 1127-1137, 1992
  • P. M.听Goorjian听and A.听Taflove, 鈥�,鈥� OpticsLett.,听B 17, pp. 180-182, Feb. 1992.

Gaussian Beam Superposition Method

  • A. W.听Greynolds, 鈥�,鈥� SPIE听Vol560, Diffraction Phenomenon in Optical Engineering Applications, 1985.

FFT Beam Propagation Method

  • N.听Delen, B. Hooker, 鈥�,鈥� JOSA A, Volume 15, Issue 4, 857-867, April 1998
  • R. R. McLeod,
  • Robert R. McLeod and Kelvin H. Wagner, "," Adv. Opt. Photon. 6, 368-412 (2014)

Finite Difference Beam Propagation Method (FD BPM)

Coupled Mode Equations applied to Bragg holography

Mode Propagation Method

Method

  • Good summary:听D. F.G. Gallagher, T.P.听Felici, 鈥�,鈥澨齈hotonics West, San听Jose, 2003.听Paper 4987-10
  • All of the details:听

Applications