Resume and short publication list of Dr.Sc., Ph.D. Leonid. I. Goray
Chitosan from crab shell waste for soft lithography of bioplastic diffraction gratings
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Attachment to the answer to Question #3 (Support/FAQ/PCGrates) about a multilayer lamellar (phase) grating.
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).
L. I. Goray and M. N. Lubov, “Nonlinear Continual Growth Model of Nonuniformly Scaled Reliefs as Applied to the Rigorous Analysis of the Xray Scattering Intensity of Multilayer Mirrors and Gratings,” Journal of Surface Investigation. Xray, Synchrotron and Neutron Techniques, 2014, Vol. 8, No. 3, P. 444–455.
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. 122.
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.
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 xrays with very high efficiency and resolving power,” Journal of Physics: Conference Series Ñ, vol. 425, 2013, pp. 1520061–4.
L. Goray and M. Lubov, “Nonlinear continuum growth model of multiscale reliefs as applied to rigorous analysis of multilayer shortwave scattering intensity. I. Gratings,” J. Appl. Cryst., vol. 46, 2013, pp. 926–932.
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.
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 xrays with very high efficiency and resolving power,” Journal of Physics: Conference Series Ñ, vol. 425, 2013, pp. 1520061–4.
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 lowdimensional periodically arranged nanocrystals,” SPIE Proc., vol. 8083, 2011 pp. 80830L1–12.
L. I. Gory, “Integral equation based inverse diffraction problem solving for lowdimensional periodicallyarranged 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 wavelengthtoperiod diffraction problems,” Waves Random Media, vol. 20, No. 4, 2010, pp. 569–586.
L. I. Goray, “Application of the rigorous method to xray and neutron beam scattering on rough surfaces,” J. Appl. Phys., 2010, vol. 108, pp. 0335161–10.
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 Xrays: Recent developments,” SPIE Proc., vol. 7802, 2010, pp. 7802071–13.</div></td>
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, N. I. Chkhalo, and Yu. A. Vainer, “Detecting QuasiPeriodic {11n} (n = 7–11) Faces in Samples with Ge/Si Quantum Dots by Grazing Xray 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 xrays,” Abstr. of the 10th Int. Conf. “Phys. of XRay Mult. Struct.,” 2010.
L. I. Goray, N. I. Chkhalo, and Yu. A. Vainer, “Grazingincidence Xray 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 xrays and neutrons,” H. Bosse, B. Bodermann, and R. M. Silver, eds., SPIE Proc., vol. 7390, 2009, pp. 73900V1–11.</div></td>
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, “A boundary integral equation method in shortwavelengthtoperiod diffraction on multilayer 1D gratings and rough mirrors,” Proc. of the Int. Conf. “Days on Diffraction”, 2008, pp. 6065.
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 Xray specular and diffuse scattering analysis and comparison with measurements,” Proc. of the 15th Int. Symp. “Nanostructures: Physics and Technology”, 2007, pp. 118119.
L. I. Goray, “Rigorous solution for electromagnetic scattering from multilayer structures having asperities of any kind in Xray–EUV ranges,” SPIE Proc. 6617, 2007, p. 661719
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 XRay/EUV Optics, Components, and Applications, A. M. Khounsary and C. Morawe, eds., SPIE Proc., vol. 6317, 2006., pp. 0N18.
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 offplane grating in the soft xray region,” Appl. Opt., vol. 45, No. 8, 2006, pp. 16801687.
L. I. Goray, “Grazing incidence offplane lamellar grating as a beam splitter for a 1Å free electron laser,” Journal of Surface Investigation. Xray, Synchrotron and Neutron Techniques, vol. 2, No. 5, 2008, pp. 796–800.
L. I. Goray, N. I. Chkhalo, and G. E. Tsyrlin, “Determining angles of incidence and heights of quantum dot faces by analyzing Xray diffuse and specular scattering,” Technical Physics, vol. 54, No. 4, 2009, pp. 561–568.
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 XRay Wavelengths; R. Soufli and J. F. Seely; eds., SPIE Proc., vol. 5538, 2004, pp. 4352.
L. I. Goray, “An efficient EUV spectral purity filter using blazed gratings with radial groove geometry designed for offplane grazing incidence,” in Advances in XRay/EUV Optics, Components, and Applications, A. M. Khounsary and C. Morawe, eds., SPIE Proc., vol. 6317, 2006., pp. 0O19.
I. I. Goray and L. I. Goray, “Computer system configured in support of solving NPcomplete problems at high speed”, International Intellectual Group, Inc., Oct. 21, 2003.
CV of L. Goray  Resume with the short publication list of Dr.Sc., Ph.D. Leonid. I. Goray 
PCGrate presentation  PCGrate v.6.7 advertising 
PCGrates_FAQ_A.zip archive  Attachment to the answer to Question #3 (Support/FAQ/PCGrates) about a multilayer 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 Xray Scattering Intensity of Multilayer Mirrors and Gratings,” Journal of Surface Investigation. Xray, 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. 122. 
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 xrays with very high efficiency and resolving power,” Journal of Physics: Conference Series Ñ, vol. 425, 2013, pp. 1520061–4. 
JACr 46, 2013  L. Goray and M. Lubov, “Nonlinear continuum growth model of multiscale reliefs as applied to rigorous analysis of multilayer shortwave scattering intensity. I. Gratings,” J. Appl. Cryst., vol. 46, 2013, pp. 926–932. 
IEEE Proc. 4673, 2012  L. I. Goray, “Energyabsorption calculus for multiboundary conicaldiffraction gratings,” Proc. of the International Conference DD’12, IEEE 2012, pp. 98–103. 
PRE 85, 2012  L.I. Goray and G. Schmidt, “Analysis of twodimensional photonic band gaps of any rod shape and conductivity using a conicalintegralequation method,” Phys. Rev. E, vol. 85, 2012, pp. 0367011–12 . 
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 lowdimensional periodically arranged nanocrystals," SPIE Proc., vol. 8083, 2011 pp. 80830L1–12. 
DD 2011  L. I. Gory, “Integral equation based inverse diffraction problem solving for lowdimensional periodicallyarranged 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 wavelengthtoperiod 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 xray and neutron beam scattering on rough surfaces," J. Appl. Phys., 2010, vol. 108, pp. 0335161–10. 
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 Xrays: Recent developments," SPIE Proc., vol. 7802, 2010, pp. 7802071–13. 
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 QuasiPeriodic {11n} (n = 7–11) Faces in Samples with Ge/Si Quantum Dots by Grazing Xray 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 xrays," Abstr. of the 10th Int. Conf. "Phys. of XRay Mult. Struct.," 2010.

Nanostructures 2009  L. I. Goray, N. I. Chkhalo, and Yu. A. Vainer, "Grazingincidence Xray 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 xrays and neutrons," H. Bosse, B. Bodermann, and R. M. Silver, eds., SPIE Proc., vol. 7390, 2009, pp. 73900V1–11. 
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. 9297. 
DD 2008  L. I. Goray, "A boundary integral equation method in shortwavelengthtoperiod diffraction on multilayer 1D gratings and rough mirrors," Proc. of the Int. Conf. “Days on Diffraction”, 2008, pp. 6065. 
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 Xray specular and diffuse scattering analysis and comparison with measurements," Proc. of the 15th Int. Symp. "Nanostructures: Physics and Technology", 2007, pp. 118119. 
SPIE 6617, 2007  L. I. Goray, "Rigorous solution for electromagnetic scattering from multilayer structures having asperities of any kind in Xray–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 softxrayextremeultraviolet gratings at near normal incidence," J. Appl. Phys., vol. 100, No. 9, 2006, pp. 094901113. 
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. 155165. 
NIMA 536, 2005  L. I. Goray, "Numerical analysis of the efficiency of multilayercoated gratings using integral method," Nuclear Inst. and Methods in Physics Research A, vol. 536, No. 12, 2005, pp. 211221. 
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 & MicroOptics, vol. 75, 2002, pp. 365379. 
AO 41, 2002  L. I. Goray and J. F. Seely, "Efficiencies of master, replica, and multilayer gratings for the soft xray  EUV range: modeling based on the modified integral method and comparisons to measurements," Appl. Opt., vol. 41, No. 7, 2002, pp. 14341445. 
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.112. 
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 XRay/EUV Optics, Components, and Applications, A. M. Khounsary and C. Morawe, eds., SPIE Proc., vol. 6317, 2006., pp. 0N18. 
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 offplane grating in the soft xray region," Appl. Opt., vol. 45, No. 8, 2006, pp. 16801687. 
Jour. Surf. Inv. 2, 2008  L. I. Goray, "Grazing incidence offplane lamellar grating as a beam splitter for a 1Å free electron laser," Journal of Surface Investigation. Xray, 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 Xray 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 XRay Wavelengths; R. Soufli and J. F. Seely; eds., SPIE Proc., vol. 5538, 2004, pp. 4352. 
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. 32603264. 
SPIE 5168, 2003  L. I. Goray, "Rigorous efficiency calculations for blazed gratings working in in and offplane mountings in the 5–50Å wavelengths range," in Optics for EUV, XRay, and GammaRay Astronomy, O. Citterio and S. L. O'Dell, eds., SPIE Proc., vol. 5168, 2003, pp. 260270. 
SPIE 6317, 2006  L. I. Goray, "An efficient EUV spectral purity filter using blazed gratings with radial groove geometry designed for offplane grazing incidence," in Advances in XRay/EUV Optics, Components, and Applications, A. M. Khounsary and C. Morawe, eds., SPIE Proc., vol. 6317, 2006., pp. 0O19. 
SPIE2 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. 1324. 
USP # 6,636,840 B1  I. I. Goray and L. I. Goray, "Computer system configured in support of solving NPcomplete 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.
