A. Aho, J. Hopcroft, and J. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, 1976).

D. A. Content, P. Arsenovic, I. G. Kuznetsov, and T. Hadjimichael, "Grating groove metrology and efficiency predictions from the soft x-ray to the far infrared," in Optical Spectroscopic Techniques and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 405-416 (2001).

K. E. Atkinson, The Numerical Solution of Integral Equations of the Second Kind (Cambridge U. Press, 1997).

[Crossref]

J. T. Beale and M.-C. Lai, "A method for computing nearly singular integrals," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 38, 1902-1925 (2001).

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

I. G. Kuznetsov, E. Wilkinson, D. A. Content, R. A. Boucarut, and T. J. Madison, "Grating efficiencies comparison study: calculations versus metrology for various types of high groove density gratings at VUV-UV wavelengths," in Optical Modeling and Performance Predictions, M.A.Kahan, ed., Proc. SPIE 5178, 267-277 (2004).

I. G. Kuznetsov, D. A. Content, R. A. Boucarut, and T. J. Madison, "Design, performance and reliability of a high angular resolution, wide angular range, large aperture fully automated UV scatterometer," in Optical Spectroscopic Techniques, Remote Sensing, and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 417-428 (2001).

I. G. Kuznetsov, D. A. Content, R. A. Boucarut, and T. J. Madison, "Design, performance and reliability of a high angular resolution, wide angular range, large aperture fully automated UV scatterometer," in Optical Spectroscopic Techniques, Remote Sensing, and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 417-428 (2001).

I. G. Kuznetsov, E. Wilkinson, D. A. Content, R. A. Boucarut, and T. J. Madison, "Grating efficiencies comparison study: calculations versus metrology for various types of high groove density gratings at VUV-UV wavelengths," in Optical Modeling and Performance Predictions, M.A.Kahan, ed., Proc. SPIE 5178, 267-277 (2004).

D. A. Content, P. Arsenovic, I. G. Kuznetsov, and T. Hadjimichael, "Grating groove metrology and efficiency predictions from the soft x-ray to the far infrared," in Optical Spectroscopic Techniques and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 405-416 (2001).

V. Dauer, "Optical constants of lithium fluoride thin films in the far ultraviolet," J. Opt. Soc. Am. B 17, 300-303 (2000).

[Crossref]

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

G. Elschner and I. Graham, "An optimal order collocation method for first kind boundary integral equations on polygons," Numer. Math. 70, 1-31 (1995).

[Crossref]

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

L. I. Goray and S. Yu. Sadov, "Numerical modeling of coated gratings in sensitive cases," in Diffractive Optics and Micro-Optics, R.Magnusson, ed., Vol. 75of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), pp. 365-379.

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., Proc. SPIE 4291, 13-24 (2001).

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., Proc. SPIE 5538, 43-52 (2004).

G. Elschner and I. Graham, "An optimal order collocation method for first kind boundary integral equations on polygons," Numer. Math. 70, 1-31 (1995).

[Crossref]

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

J. C. Green, "Cosmic Origins Spectrograph," in UV, Optical, and IR Space Telescopes and Instruments, J.B.Breckinridge and P.Jakobsen, eds., Proc. SPIE 4013, 352-359 (2000).

D. A. Content, P. Arsenovic, I. G. Kuznetsov, and T. Hadjimichael, "Grating groove metrology and efficiency predictions from the soft x-ray to the far infrared," in Optical Spectroscopic Techniques and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 405-416 (2001).

A. Aho, J. Hopcroft, and J. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, 1976).

J. Larruquert and R. Keski-Kuha, "Far ultraviolet optical properties of MgF2 films deposited by ion-beam sputtering and their application as protective coatings for Al," Opt. Commun. 215, 93-99 (2003).

[Crossref]

R. Keski-Kuha, NASA GSFC, Code 551, Greenbelt, Maryland 20771 (personal communication 2005).

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., Proc. SPIE 5538, 43-52 (2004).

B. Kleemann, A. Mitreiter, and F. Wyrowski, "Integral equation method with parametrization of grating profile: theory and experiments," J. Mod. Opt. 43, 1323-1349 (1996).

[Crossref]

D. Knuth, The Art of Computer Programming (Addison-Wesley, 1998), Vol. 2.

R. Kress, I. Sloan, and F. Stenger, "A sinc quadrature method for the double layer integral equation in planar domain with corners," J. Integral Equ. Appl. 10, 291-317 (1998).

[Crossref]

R. Kress, "A Nyström method for boundary integral equations in domains with corners," Numer. Math. 58, 145-161 (1990).

[Crossref]

I. G. Kuznetsov, D. A. Content, R. A. Boucarut, and T. J. Madison, "Design, performance and reliability of a high angular resolution, wide angular range, large aperture fully automated UV scatterometer," in Optical Spectroscopic Techniques, Remote Sensing, and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 417-428 (2001).

I. G. Kuznetsov, E. Wilkinson, D. A. Content, R. A. Boucarut, and T. J. Madison, "Grating efficiencies comparison study: calculations versus metrology for various types of high groove density gratings at VUV-UV wavelengths," in Optical Modeling and Performance Predictions, M.A.Kahan, ed., Proc. SPIE 5178, 267-277 (2004).

D. A. Content, P. Arsenovic, I. G. Kuznetsov, and T. Hadjimichael, "Grating groove metrology and efficiency predictions from the soft x-ray to the far infrared," in Optical Spectroscopic Techniques and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 405-416 (2001).

J. T. Beale and M.-C. Lai, "A method for computing nearly singular integrals," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 38, 1902-1925 (2001).

J. Larruquert and R. Keski-Kuha, "Far ultraviolet optical properties of MgF2 films deposited by ion-beam sputtering and their application as protective coatings for Al," Opt. Commun. 215, 93-99 (2003).

[Crossref]

P. Laubin, "High order convergence for collocation of second kind boundary integral equations on polygons," Numer. Math. 79, 107-140 (1998).

[Crossref]

C. M. Linton, "The Green's function for two-dimensional Helmholtz equation in periodic domains," J. Eng. Math. 33, 377-402 (1998).

[Crossref]

E. G. Loewen and E. Popov, Diffraction Gratings and Applications (Marcel-Dekker, 1997).

I. G. Kuznetsov, D. A. Content, R. A. Boucarut, and T. J. Madison, "Design, performance and reliability of a high angular resolution, wide angular range, large aperture fully automated UV scatterometer," in Optical Spectroscopic Techniques, Remote Sensing, and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 417-428 (2001).

I. G. Kuznetsov, E. Wilkinson, D. A. Content, R. A. Boucarut, and T. J. Madison, "Grating efficiencies comparison study: calculations versus metrology for various types of high groove density gratings at VUV-UV wavelengths," in Optical Modeling and Performance Predictions, M.A.Kahan, ed., Proc. SPIE 5178, 267-277 (2004).

B. Kleemann, A. Mitreiter, and F. Wyrowski, "Integral equation method with parametrization of grating profile: theory and experiments," J. Mod. Opt. 43, 1323-1349 (1996).

[Crossref]

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

A. Pomp, "The integral method for coated gratings: computational cost," J. Mod. Opt. 38, 109-120 (1991).

[Crossref]

E. G. Loewen and E. Popov, Diffraction Gratings and Applications (Marcel-Dekker, 1997).

L. I. Goray and S. Yu. Sadov, "Numerical modeling of coated gratings in sensitive cases," in Diffractive Optics and Micro-Optics, R.Magnusson, ed., Vol. 75of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), pp. 365-379.

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

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., Proc. SPIE 5538, 43-52 (2004).

R. Kress, I. Sloan, and F. Stenger, "A sinc quadrature method for the double layer integral equation in planar domain with corners," J. Integral Equ. Appl. 10, 291-317 (1998).

[Crossref]

E. Spiller, Soft X-ray Optics (SPIE Press, 1994).

[Crossref]

R. Kress, I. Sloan, and F. Stenger, "A sinc quadrature method for the double layer integral equation in planar domain with corners," J. Integral Equ. Appl. 10, 291-317 (1998).

[Crossref]

A. Aho, J. Hopcroft, and J. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, 1976).

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., Proc. SPIE 5538, 43-52 (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., Proc. SPIE 5538, 43-52 (2004).

I. G. Kuznetsov, E. Wilkinson, D. A. Content, R. A. Boucarut, and T. J. Madison, "Grating efficiencies comparison study: calculations versus metrology for various types of high groove density gratings at VUV-UV wavelengths," in Optical Modeling and Performance Predictions, M.A.Kahan, ed., Proc. SPIE 5178, 267-277 (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., Proc. SPIE 5538, 43-52 (2004).

B. Kleemann, A. Mitreiter, and F. Wyrowski, "Integral equation method with parametrization of grating profile: theory and experiments," J. Mod. Opt. 43, 1323-1349 (1996).

[Crossref]

C. M. Linton, "The Green's function for two-dimensional Helmholtz equation in periodic domains," J. Eng. Math. 33, 377-402 (1998).

[Crossref]

R. Kress, I. Sloan, and F. Stenger, "A sinc quadrature method for the double layer integral equation in planar domain with corners," J. Integral Equ. Appl. 10, 291-317 (1998).

[Crossref]

A. Pomp, "The integral method for coated gratings: computational cost," J. Mod. Opt. 38, 109-120 (1991).

[Crossref]

B. Kleemann, A. Mitreiter, and F. Wyrowski, "Integral equation method with parametrization of grating profile: theory and experiments," J. Mod. Opt. 43, 1323-1349 (1996).

[Crossref]

G. Elschner and I. Graham, "An optimal order collocation method for first kind boundary integral equations on polygons," Numer. Math. 70, 1-31 (1995).

[Crossref]

R. Kress, "A Nyström method for boundary integral equations in domains with corners," Numer. Math. 58, 145-161 (1990).

[Crossref]

P. Laubin, "High order convergence for collocation of second kind boundary integral equations on polygons," Numer. Math. 79, 107-140 (1998).

[Crossref]

J. Larruquert and R. Keski-Kuha, "Far ultraviolet optical properties of MgF2 films deposited by ion-beam sputtering and their application as protective coatings for Al," Opt. Commun. 215, 93-99 (2003).

[Crossref]

J. T. Beale and M.-C. Lai, "A method for computing nearly singular integrals," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 38, 1902-1925 (2001).

K. E. Atkinson, The Numerical Solution of Integral Equations of the Second Kind (Cambridge U. Press, 1997).

[Crossref]

See website at www.pcgrate.com.

D. A. Content, P. Arsenovic, I. G. Kuznetsov, and T. Hadjimichael, "Grating groove metrology and efficiency predictions from the soft x-ray to the far infrared," in Optical Spectroscopic Techniques and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 405-416 (2001).

L. I. Goray and S. Yu. Sadov, "Numerical modeling of coated gratings in sensitive cases," in Diffractive Optics and Micro-Optics, R.Magnusson, ed., Vol. 75of OSA Trends in Optics and Photonics Series (Optical Society of America, 2002), pp. 365-379.

E.Palik, ed., Handbook of Optical Constant of Solids (Academic, 1991), Vol. 2.

J. C. Green, "Cosmic Origins Spectrograph," in UV, Optical, and IR Space Telescopes and Instruments, J.B.Breckinridge and P.Jakobsen, eds., Proc. SPIE 4013, 352-359 (2000).

I. G. Kuznetsov, E. Wilkinson, D. A. Content, R. A. Boucarut, and T. J. Madison, "Grating efficiencies comparison study: calculations versus metrology for various types of high groove density gratings at VUV-UV wavelengths," in Optical Modeling and Performance Predictions, M.A.Kahan, ed., Proc. SPIE 5178, 267-277 (2004).

R. Grange, V. Dauer, M. Saisse, M. Nevière, J. Flamand, and F. Bonnemason, "6000-g/mm holographic flight gratings for the high resolution Far Ultraviolet Spectroscopic Explorer: efficiency, resolution and stray light measurements," in Theory and Practice of Surface-Relief Diffraction Gratings: Synchrotron and Other Applications, W.R.McKinney and C.A.Palmer, eds., Proc. SPIE 3450, 103-112 (1998).

R.Petit, ed., Electromagnetic Theory of Gratings (Springer, 1980).

[Crossref]

A. Aho, J. Hopcroft, and J. Ullman, The Design and Analysis of Computer Algorithms (Addison-Wesley, 1976).

D. Knuth, The Art of Computer Programming (Addison-Wesley, 1998), Vol. 2.

I. G. Kuznetsov, D. A. Content, R. A. Boucarut, and T. J. Madison, "Design, performance and reliability of a high angular resolution, wide angular range, large aperture fully automated UV scatterometer," in Optical Spectroscopic Techniques, Remote Sensing, and Instrumentation for Atmospheric and Space Research IV, A.M.Larar and M.G.Mlynczak, eds., Proc. SPIE 4485, 417-428 (2001).

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., Proc. SPIE 5538, 43-52 (2004).

E. G. Loewen and E. Popov, Diffraction Gratings and Applications (Marcel-Dekker, 1997).

American Institute of Physics Handbook (McGraw-Hill, 1972).

R. Keski-Kuha, NASA GSFC, Code 551, Greenbelt, Maryland 20771 (personal communication 2005).

E. Spiller, Soft X-ray Optics (SPIE Press, 1994).

[Crossref]

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., Proc. SPIE 4291, 13-24 (2001).