ELECTRONIC READER

Most of these are hyperlinks to the OSA or IEEE sites that own the copyrights. If you are on a CU computer, they should directly load as Portable Document Format (PDFs). To access them from off campus, you will need to download and run the Virtual Private Network (VPN) tool.

- Original paper by Nelder and Mead on simplex method: J.A. Nelder and R. Mead, “A simplex method for function minimization,” Computer Journal, Volume 7, Issue 4, 1965, pp. 308-313
- Concise statement of algorithm plus convergence proof in 1 and 2 dimensions: J. C. Lagarias, J. A. Reeds, M. H. Wright, P. E. Wright, “Convergence properties of the Nelder-Mead simplex method in low dimensions,” SIAM J. Optim., Vol. 9, No. 1, 1998, pp. 112-147
- Original paper on simulated annealing for finding equilibrium of atoms: Kirkpatrick,
S.; Gelatt, C. D.; and Vecchi,
M. P. "Optimization by Simulated Annealing."
*Science***220**, 671-680, 1983 - Summary by the authors that applied it to optimization: K.
S. Yee, "Numerical Solution of Initial Boundary Value Problems Involving
Maxwell's Equations in Isotropic Media,''
*IEEE Trans. on Antennas and Propagat.*, vol. 14, pp. 302-307, May 1966.

- Boundary conditions for the FDTD method
- K.
S. Yee, "Numerical Solution of Initial Boundary Value Problems Involving
Maxwell's Equations in Isotropic Media,''
*IEEE Trans. on Antennas and Propagat.*, vol. 14, pp. 302-307, May 1966. - G. Mur, "Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations," IEEE Trans. on Electromagnetic Compatibility, Vol. EMC-23, November 1981, pp. 377-382
- B.
Engquist and A. Majda,
"Absorbing boundary conditions for the numerical simulation of
waves",
*Math. Comput.,*vol. 31, pp. 629-651, 1977.

- K.
S. Yee, "Numerical Solution of Initial Boundary Value Problems Involving
Maxwell's Equations in Isotropic Media,''
- Dispersive materials in FDTD method
- Anisotropic materials in the FDTD method
- Nonlinear materials in the FDTD method
- G. W. Zheng and K. S. Chen, “Transient analysis of dielectric step discontinuity of microstrip lines containing a nonlinear layer,“ Int. J. Infrared Millim. Waves, vol. 13, no. 8, pp. 1127-1137, 1992
- P. M. Goorjian and A. Taflove, “Direct time integration of Maxwell's equations in nonlinear dispersive media for propagation and scattering of femtosecond electromagnetic solitons”Optics Lett., B 17, pp. 180-182, Feb. 1992.

- J. Arnaud, “Representation of Gaussian beams by complex rays,” Applied Optics, Volume 24, Issue 4, 538- February 1985
- R. P. Herloski, S. Marshall, R. L. Antos, „Gaussian beam ray-equivalent modeling and optical design,” Applied Optics, Vol. 22 Issue 8 Page 1168 (April 1983)
- A. W. Greynolds, “Propagation of generally astigmatic Gaussian beams along skew ray paths,” SPIE Vol 560, Diffraction Phenomenon in Optical Engineering Applications, 1985.

- M. D. Feit and J. A. Fleck, Jr., "Beam nonparaxiality, filament formation, and beam breakup in the sel-focusing of optical beams," J Opt Soc Am B., Vol. 5, No. 3, pp. 633-640, March 1988
- M. D. Feit and J. A. Fleck, Jr., "Computation of mode properties in optical fiber waveguides by a propagating beam method," Applied Optics, Vol. 19, No. 7, pp. 1154-1164, 1 April 1980
- N. Delen, B. Hooker, “Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach,” JOSA A, Volume 15, Issue 4, 857-867, April 1998
- D. Yevick, J. Yu, Y. Yayon, “Optimal absorbing boundary conditions,” J. Opt. Soc. Am. A,Vol. 12, No. 1, January 1995
- R. R. McLeod, Notes on gyrotropic materials

- Method
- Applications
- Shani Y, Henry CH, Kistler RC, Kazarinov RF, Orlowsky KJ. "Integrated optic adiabatic devices on silicon." IEEE Journal of Quantum Electronics, vol.27, no.3, March 1991, pp.556-66
- Henry CH, Shani Y. "Analysis of mode propagation in optical waveguide devices by Fourier expansion." IEEE Journal of Quantum Electronics, vol.27, no.3, March 1991, pp.523-30.