PCGrate®-S(X)™ Version 6.5 Readme updated 11/14/2011.

J. Seely, B. Kjornrattanawanich, L. Goray, Y. Feng, and J. Bremer, “Characterization of zone plate properties using monochromatic synchrotron radiation in the 2 to 20 nm wavelength range,” Appl. Opt., vol. 50, No. 18, 2011, pp. 3015–3020.

L. I. Goray, "Solution of the inverse problem of diffraction from low-dimensional periodically arranged nanocrystals," SPIE Proc., vol. 8083, 2011 pp. 80830L-1–12.

L. I. Gory, “Integral equation based inverse diffraction problem solving for low-dimensional periodically-arranged nanocrystals,” abstracts of the Int. Conf. “Days on Diffraction 2011," St. Petersburg, Russia, p. 44.

D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, "A 10,000 groove/mm multilayer coated grating for EUV spectroscopy," Opt. Express, vol. 19, No. 7, 2011, pp. 6320–6325.

L. I. Goray, "Application of the boundary integral equation method to very small wavelength-to-period diffraction problems," Waves Random Media, vol. 20, No. 4, 2010, pp. 569–586.

L. I. Goray, "Application of the rigorous method to x-ray and neutron beam scattering on rough surfaces," J. Appl. Phys., 2010, vol. 108, pp. 033516-1–10.

D. L. Voronov, M. Ahn, E. H. Anderson, R. Cambie, C.-H. Chang, L. I. Goray, E. M. Gullikson, R. K. Heilmann, F. Salmassi, M. L. Schattenburg, T. Warwick, V. V. Yashchuk, H. A. Padmore, "High efficiency multilayer blazed gratings for EUV and soft X-rays: Recent developments," SPIE Proc., vol. 7802, 2010, pp. 780207-1–13.

L. I. Goray, "Sensitive analysis of 2D photonic bandgaps using boundary integral equations," Proc. of Nanostructures: Physics and Technology, 2010, pp. 304–305.

L. I. Goray, "Analysis of 2D photonic crystal slabs of any rod shape and conductivity using a very fast conical integral equation method," Abstracts of the Int. Conf. “Days on Diffraction 2010”, St. Petersburg, Russia, p. 37.

L. I. Goray, N. I. Chkhalo, and Yu. A. Vainer, "Detecting Quasi-Periodic {11n} (n = 7–11) Faces in Samples with Ge/Si Quantum Dots by Grazing X-ray Reflectometry," Tech. Phys. Let., vol. 36, No. 2, 2010, pp. 108–111.

L. I. Goray and G. Schmidt, "Solving conical diffraction grating problems with integral equations," J. Opt. Soc. Am. A, vol. 27, No. 3, 2010, pp. 585–597.

D. L. Voronov, R. Cambie, M. Ahn, E. H. Anderson, C.-H. Chang, E. M. Gullikson, R. K. Heilmann, F. Salmassi, M. L. Schattenburg, V. V. Yashchuk, T. Warwick, L. I. Goray, S. S. Yang, and H. A. Padmore, "High efficiency blazed multilayer gratings for EUVand soft x-rays," Abstr. of the 10-th Int. Conf. "Phys. of X-Ray Mult. Struct.," 2010.

L. I. Goray, N. I. Chkhalo, and Yu. A. Vainer, "Grazing-incidence X-ray reflectometry for structural characterization of samples containing Ge/Si quantum dots," Proc. of Nanostructures: Physics and Technology, vol. 17, 2009, pp. 192–193.

L. I. Goray, "Specular and diffuse scattering from random asperities of any profile using the rigorous method for x-rays and neutrons," H. Bosse, B. Bodermann, and R. M. Silver, eds., SPIE Proc., vol. 7390, 2009, pp. 73900V-1–11.

L. I. Goray and G. Schmidt, "An integral equation conical solver: some formulas and numerical experiments," Proc. of the Int. Conf. “Days on Diffraction”, 2009, pp. 92-97.

L. I. Goray, "A boundary integral equation method in short-wavelength-to-period diffraction on multilayer 1D gratings and rough mirrors," Proc. of the Int. Conf. “Days on Diffraction”, 2008, pp. 60-65.

Ivan I. Goray, "On polynomial solvability of the Hamiltonian cycle problem for graphs of degree less than or equal to 3," arXiv: 1007.0235v1 [math.OC], 1 Jul, 2010, 27 p.

L. I. Goray, G. E. Cirlin, E. Alves, Yu. B. Samsonenko, A. A. Tonkih, N. K. Polyakov, V. A. Egorov, "Determination of the structural properties of multiple quantum dot ensembles based on a rigorous X-ray specular and diffuse scattering analysis and comparison with measurements," Proc. of the 15th Int. Symp. "Nanostructures: Physics and Technology", 2007, pp. 118-119.

L. I. Goray, "Rigorous solution for electromagnetic scattering from multilayer structures having asperities of any kind in X-ray–EUV ranges," SPIE Proc. 6617, 2007, p. 661719.