PCGrate presentation
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CV of L. Goray
Resume with the full publication list of Dr.Sc., Ph.D. Leonid. I. Goray
PCGrates_FAQ_A.zip archive
Attachment to the answer to Question #3 (Support/FAQ/PCGrates) about a multi-layer lamellar (phase) grating.
Gratings: Theory and Numeric Applications, ed. E. Popov, 2014
L. I. Goray and G. Schmidt, "Boundary Integral Equation Methods for Conical Diffraction and Short Waves," Ch.# 12 in Gratings: Theory and Numeric Applications, Second Revisited Edition, E. Popov, ed. (Institut Fresnel, AMU, 2014).
J. Surf. Inv. 8(3), 2014
L. I. Goray and M. N. Lubov, “Nonlinear Continual Growth Model of Nonuniformly Scaled Reliefs as Applied to the Rigorous Analysis of the X-ray Scattering Intensity of Multilayer Mirrors and Gratings,” Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, 2014, Vol. 8, No. 3, P. 444–455.
WIAS prnt. 1898, 2013
P. N. Racec and L. I. Goray, “Electronic states in a quantum well – nanobridge – quantum dot structure,” WIAS preprints (Berlin, Germany), No. 1898, 2013, P. 1-22.
IEEE Proc. 4799, 2013
L. I. Goray, "Electromagnetic solution for scattering from 2D rough surfaces through general solutions for 1D rough surfaces in short waves," Proc. of the Int. Conf. Days on Diffraction 2013, IEEE 2013, pp. 65–71.
J. Phys. C 425, 2013
D. L. Voronov, E. H. Anderson, R. Cambie, L. I. Goray, P. Gawlitza, E. M.Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, H. A. Padmore, “Development of near atomically perfect diffraction gratings for EUV and soft x-rays with very high efficiency and resolving power,” Journal of Physics: Conference Series Ñ, vol. 425, 2013, pp. 152006-1–4.
JACr 46, 2013
L. Goray and M. Lubov, “Nonlinear continuum growth model of multiscale reliefs as applied to rigorous analysis of multilayer short-wave scattering intensity. I. Gratings,” J. Appl. Cryst., vol. 46, 2013, pp. 926–932.
IEEE Proc. 4673, 2012
L. I. Goray, “Energy-absorption calculus for multi-boundary conical-diffraction gratings,” Proc. of the International Conference DD’12, IEEE 2012, pp. 98–103.
PRE 85, 2012
L.I. Goray and G. Schmidt, “Analysis of two-dimensional photonic band gaps of any rod shape and conductivity using a conical-integral-equation method,” Phys. Rev. E, vol. 85, 2012, pp. 036701-1–12 .
Readme v.6.5
PCGrate®-S(X)™ Version 6.5 Readme updated 11/14/2011.
AO 50, 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.
SPIE 8083, 2011
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.
DD 2011
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.
OE 19, 2011
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.
WRM 20, 2010
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.
JAP 108, 2010
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.
SPIE 7802, 2010
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.
Nanostructures 2010
L. I. Goray, "Sensitive analysis of 2D photonic bandgaps using boundary integral equations," Proc. of Nanostructures: Physics and Technology, 2010, pp. 304–305.
DD 2010
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.
Tech. Phys. Let. 36, 2010
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.
JOSA A, 2010
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.
PXRMS 2010
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.
Nanostructures 2009
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.
SPIE 7390, 2009
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.
DD 2009
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.
DD 2008
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.
arXiv 2010
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.
Nanostructures 2007
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.
SPIE 6617, 2007
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.
JAP 100, 2006
L. I. Goray, J. F. Seely, and S. Yu. Sadov, "Spectral separation of the efficiencies of the inside and outside orders of soft-x-ray-extreme-ultraviolet gratings at near normal incidence," J. Appl. Phys., vol. 100, No. 9, 2006, pp. 094901-1-13.
JOSA A 23, 2006
L. I. Goray, I. G. Kuznetsov, S. Yu. Sadov, and D. A. Content, "Multilayer resonant subwavelength gratings: effects of waveguide modes and real groove profiles," J. Opt. Soc. Am A, vol. 23, No. 1, 2006, pp. 155-165.
NIMA 536, 2005
L. I. Goray, "Numerical analysis of the efficiency of multilayer-coated gratings using integral method," Nuclear Inst. and Methods in Physics Research A, vol. 536, No. 1-2, 2005, pp. 211-221.
OSA TOPS 75, 2002
L. I. Goray and S. Yu. Sadov, "Numerical modelling of coated gratings in sensitive cases," in Trends in Optics and Photonics Series (TOPS 2002), OSA Diffractive Optics & Micro-Optics, vol. 75, 2002, pp. 365-379.
AO 41, 2002
L. I. Goray and J. F. Seely, "Efficiencies of master, replica, and multilayer gratings for the soft x-ray - EUV range: modeling based on the modified integral method and comparisons to measurements," Appl. Opt., vol. 41, No. 7, 2002, pp. 1434-1445.
SPIE 4291, 2001
L. I. Goray, "Modified integral method for weak convergence problems of light scattering on relief grating," in Diffractive and Holographic Technologies for Integrated Photonic Systems, R. I. Sutherland, D. W. Prather, and I. Cindrich, eds., SPIE Proc., vol. 4291, 2001, pp.1-12.
SPIE 6317, 2006
J. F. Seely, G. E. Holland, J. C. Bremer, T. J. Zukowski, M. Feser, Y. Feng, B. Kjornrattanawancih, and L. I. Goray, "Measurement of Zone Plate Efficiencies in the Extreme Ultraviolet and Applications to Radiation Monitors for Absolute Spectral Emission," in Advances in X-Ray/EUV Optics, Components, and Applications, A. M. Khounsary and C. Morawe, eds., SPIE Proc., vol. 6317, 2006., pp. 0N-1-8.
AO 45, 2006
J. F. Seely, L. I. Goray, B. Kjornrattanawanich, J. M. Laming, G. E. Holland, K. A. Flanagan, R. K. Heilmann, C.-H. Chang, M. L. Schattenburg, and A. P. Rasmussen, "Efficiency of a grazing incidence off-plane grating in the soft x-ray region," Appl. Opt., vol. 45, No. 8, 2006, pp. 1680-1687.
Jour. Surf. Inv. 2, 2008
L. I. Goray, "Grazing incidence off-plane lamellar grating as a beam splitter for a 1-Å free electron laser," Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, vol. 2, No. 5, 2008, pp. 796–800.
Tech. Phys. 54, 2009
L. I. Goray, N. I. Chkhalo, and G. E. Tsyrlin, "Determining angles of incidence and heights of quantum dot faces by analyzing X-ray diffuse and specular scattering," Technical Physics, vol. 54, No. 4, 2009, pp. 561–568.
SPIE 5538, 2004
J. F. Seely, L. I. Goray, D. L. Windt, B. Kjornrattanawanich, Yu. A. Uspenskii, and A. V. Vinogradov, "Extreme ultraviolet optical constants for the design and fabrication of multilayer gratings," in Optical Constants of Materials for UV to X-Ray Wavelengths; R. Soufli and J. F. Seely; eds., SPIE Proc., vol. 5538, 2004, pp. 43-52.
JVST B 22, 2004
C.-H. Chang, J. C. Montoya, M. Akilian, A. Lapsa, M. Li, K. A. Flanagan, A. P. Rasmussen, J. F. Seely, J. M. Laming, B. Kjornrattanawanich, and L. I. Goray, "High fidelity blazed grating replication using nanoimprint lithography," J. Vac. Sci. Technol. B, vol. 22, No. 6, 2004, pp. 3260-3264.
SPIE 5168, 2003
L. I. Goray, "Rigorous efficiency calculations for blazed gratings working in in- and off-plane mountings in the 5–50-Å wavelengths range," in Optics for EUV, X-Ray, and Gamma-Ray Astronomy, O. Citterio and S. L. O'Dell, eds., SPIE Proc., vol. 5168, 2003, pp. 260-270.
SPIE 6317, 2006
L. I. Goray, "An efficient EUV spectral purity filter using blazed gratings with radial groove geometry designed for off-plane grazing incidence," in Advances in X-Ray/EUV Optics, Components, and Applications, A. M. Khounsary and C. Morawe, eds., SPIE Proc., vol. 6317, 2006., pp. 0O-1-9.
SPIE-2 4291, 2001
L. I. Goray, "Modified integral method and real electromagnetic properties of echelles," in Diffractive and Holographic Technologies for Integrated Photonic Systems, R. I. Sutherland, D. W. Prather, and I. Cindrich, eds., SPIE Proc., vol. 4291, 2001, pp. 13-24.
USP # 6,636,840 B1
I. I. Goray and L. I. Goray, "Computer system configured in support of solving NP-complete problems at high speed", International Intellectual Group, Inc., Oct. 21, 2003.
Readme.txt v.6.1 file
PCGrate®-S(X)™ Version 6.1 Readme updated 04/16/2010.