Abstract
In this chapter, we class as an integral method any theory able to reduce in a rigorous manner a problem of diffraction by a grating to the resolution of a linear integral equation or a system of coupled linear integral equations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Courant, D. Hilbert: Methods of Mathematical Physics, Vol. 1 (Interscience, New York 1965) Chap. 3, pp. 112–163
P.M. Morse, H. Feshbach: Method of Theoretical Physics, Part 1 (Mc Graw-Hill, New York 1953) Chap. 8, pp. 896–997
L. Schwartz: Methodes Mathématiques pour les Sciences Physiques (Hermann, Paris 1965
L. Schwartz: Théorie des Distributions (Hermann, Paris 1966)
R. Petit, M. Cadilhac: C.R. Acad. Sci. Paris 259, 2077 (1964)
A. Wirgin: Rev. Opt. 9, 449 (1964)
J.L. Uretski: Ann. Phys. 33, 400 (1965)
R. Petit: C.R. Acad. Sci. Paris 260, 4454 (1965)
R. Petit: Rev. Opt.Rev. Opt. 45, 249 (1966)
J. Pavageau, R. Eido, H. Kobeissé: C.R. Acad. Sci. Paris 264, 424 (1927)
A. Wirgin: Rev. Cethedec 5, 131 (1968)
A. Neureuther, K. Zaki: Alta Freq. 38, 282 (1969)
P.M. Van den Berg: Thesis, Delft, the Netherlands (1971)
D. Maystre: Opt. Commun. 6, 50 (1972)
D. Maystre: Opt. Commun. 8, 216 (1973)
D. Maystre: Thèse d’Etat, Marseille AO 9545 (1974)
R. Petit, D. Maystre, M. Nevière: Space Optics Proc. 9th Congr. I.C.O., 667 (1972)
M. Nevière, P. Vincent, R. Petit: Nouv. Rev. Opt. 5, 65 (1974)
D. Maystre: J. Opt. Soc. Am. 68, 490 (1978)
L.C. Botten: Opt. Acta 25, 481 (1978)
D. Maystre: Opt. Commun. 26, 127 (1978)
L.C. Botten: Ph. D. Thesis, Tasmania, Hobart (1978)
J. Meixner: IEEE Trans. AP-20+, 442 (1972)
G. Dumery, P. Filippi: C.R. Acad. Sci. Paris 270, 137 (1970)
J. Bass: Cours de Mathématiques, Vol. 3 (Masson, Paris 1971)
H. Kalhor, A. Neureuther: J. Opt. Cos. Am. 61, 43 (1971)
P.M. van den Berg: Appl. Sci. Res. 24, 261 (1971)
A. Wirgin: Thesis, Paris (1967)
R. Green: IEEE Trans. MTT-18, 313 (1970)
D. Maystre, R. Petit: C.R. Acad. Sci. 271, 400 (1970)
D. Maystre, R. Petit: Opt. Commun. 2, 309 (1970)
R.C. McPhedran: Ph. D. Thesis, Tasmania, Hobart (1973)
R. Petit: Nouv. Rev. Opt. 6, 129 (1975)
R.C. McClellan, G.W. Stroke: J. Math. Phys. 45, 383 (1966)
A.W. Maue: Z. Phys. 126, 601 (1949)
R.C. McPhedran, D. Maystre: Opt. Acta 21, 413 (1974)
R.C. McPhedran, D. Maystre: Nouv. Rev. Opt. 5, 241 (1974)
E.G. Loewen, D. Maystre, R.C. McPhedran, I. Wilson: Jpn. J. Appl. Phys. 14, 143 (1975)
E.G. Loewen, M. Nevière, D. Maystre: Appl. Opt. 16., 2711 (1977)
A. Wirgin: Opt. Commun. 1, 65 (1973)
M. Nevière, M. Cadilhac, R. Petit: Opt. Commun. 6, 34 (1972)
G.H. Spencer, M.V. Murty: J. Opt. Soc. Am. 52, 672 (1962)
W. Werner: Thesis (1970)
D. Maystre, R. Petit: Opt. Commun. 4, 97 (1971)
M. Nevière, M. Cadilhac: Opt. Commun. 4, 13 (1971)
D. Maystre, R. Petit: Opt. Commun. 5, 35 (1972)
R. Petit, D. Maystre: Rev. Phys. Appl. 7, 427 (1972)
D. Maystre, R. Petit: J. Spectr. Soc. Jpn. 23 suppl. 61 (1974)
P. Vincent, M. Nevière, D. Maystre: Nucl. Instrum. Methods 152, 123 (1978)
A.C. Hewson: An Introduction to the Theory of Electromagnetic Waves, Mathematical Physics series (Longman Group, London 1970)
J. Pavageau, J. Bousquet: Opt. Acta 17, 469 (1970)
D. Maystre, R. Petit: Opt. Commun. 4, 25 (1971)
A. Maréchal, G.W. Stroke: C.R. Acad. Sci. Paris 249, 2042 (1959)
D. Maystre, R.C. McPhedran: Opt. Commun. 12, 164 (1974)
K. Utagawa: Theory of diffraction efficiency and anomalies of shallow metal gratings of finite conductivity. J. Opt. Am. 69, 333 (1979)
L.C. Botten: A study of bimetallic gratings. J. Opt. 11, 161–166 (1980)
A. Wirgin: A new theoretical approach to scattering from a periodic surface. Opt. Commun. 27, 189 (1978)
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Maystre, D. (1980). Integral Methods. In: Petit, R. (eds) Electromagnetic Theory of Gratings. Topics in Current Physics, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81500-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-81500-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81502-7
Online ISBN: 978-3-642-81500-3
eBook Packages: Springer Book Archive