@article{CM_1964__16__205_0, author = {Boersma, J.}, title = {Boundary value problems in diffraction theory and lifting surface theory}, journal = {Compositio Mathematica}, pages = {205--293}, publisher = {Kraus Reprint}, volume = {16}, year = {1964}, mrnumber = {174252}, zbl = {0166.37802}, language = {en}, url = {http://archive.numdam.org/item/CM_1964__16__205_0/} }
Boersma, J. Boundary value problems in diffraction theory and lifting surface theory. Compositio Mathematica, Tome 16 (1964), pp. 205-293. http://archive.numdam.org/item/CM_1964__16__205_0/
The solution of partial differential equations by means of definite integrals. Proc. London Math. Soc. 2, 451-458 (1904). | JFM
[1]Diffraction of scalar waves by a circular aperture. New York Univ., Inst. Math. Sci., Div. Electromagnetic Res., Res. Rep. No. EM-144 (1959).
and [2] a.b. IRE Trans. on Antennas and Propagation AP-7, 12-20 (1959).
Diffraction of scalar waves by a circular aperture. II. New York Univ., Inst. Math. Sci., Div. Electromagnetic Res., Res. Rep. No. EM-170 (1961).
and [3] a.b. Comm. Pure Appl. Math. 15, 1-33 (1962). | Zbl
On an axisymmetrical vector boundary value problem with special reference to the circular disk. Dissertation, University of Michigan, 1961.
[4]On the freely vibrating circular disk and the diffraction by circular disks and apertures. Physica 16, 1-16 (1950). | MR | Zbl
[5][6] On the diffraction of electromagnetic waves by small circular disks and holes. Philips Res. Rep. 5, 401-422 (1950).
[7] Diffraction theory, a critique of some recent developments. New York Univ., Inst. Math. Sci., Div. Electromagnetic Res., Res. Rep. No. EM-50 (1958).
[8] Diffraction theory. Rep. Progr. Phys. 17, 35-100 (1954). | Zbl
On the solution of some axisymmetric boundary value problems by means of integral equations. a. I. Quart. J. Mech. Appl. Math. 12, 232-241 (1959). | Zbl
[9]b. II. Mathematika 6, 120-188 (1959). | MR
c. III. Proc. London Math. Soc. (3), 10, 428-460 (1960).
d. IV. Proc. Edinburgh Math. Soc. (2), 12, 95-106 (1960). | MR | Zbl
e. V. Quart. J. Mech. Appl. Math. 14, 101-117 (1961).
f. VI. Proc. London Math. Soc., to be published.
g. VII. Proc. Edinburgh Math. Soc. (2), 13, 13-23 (1962). | Zbl
h. VIII. Proc. Edinburgh Math. Soc. (2), 13, 235-246 (1968). | Zbl
On the problem of the electrified disc. Proc. Edinburgh Math. Soc. (2), 8, 14-19 (1947). | MR
[10]Higher-order evaluation of electromagnetic diffraction by circular disks. IRE Trans. on Microwave Theory and Techniques MTT-9, 408-418 (1961).
[11]Higher transcendental functions, vol. I, II. New York, 1958. | Zbl
, , and [12][13] Tables of integral transforms, vol. I. New York, 1954.
Theoretical elasticity. Oxford, 1954. | MR | Zbl
and [14]On the question of diffraction of electromagnetic waves from infinitesimally thin ideally conducting plane screens. Soviet Physics Tech. Phys. 2, 2160- 2175 (1957).
and [15]Function-theoretic aspects of diffraction theory. Proc. Symposium on Electromagnetic Waves, 99-108. Madison, 1962. | MR
[16]On the scattering of waves by a disk. Z. Angew. Math. Phys. 11, 249-264 (1960) | Zbl
and [17]Zur Funktionentheorie der Wellengleichung. Comment. Math. Helv. 27, 235-293 (1953). | Zbl
[18]Theorie der Beugung. Handbuch der Physik, Bd. XXV/1, 218-592. Berlin, 1961. | MR
, and [19]On the scalar diffraction by a circular aperture in an infinite plane screen. Appl. Sci. Res. B4, 151-160 (1954). | Zbl
[20][21] Variational formulation of two-dimensional diffraction problems with application to diffraction by a slit. Nederl. Akad. Wetensch. Proc. Ser. B, 58, 401-411 (1955). | Zbl
A note on the diffraction of a scalar wave by a small circular aperture. Canad. J. Phys. 39, 1065-1070 (1961). | Zbl
[22]A new method for calculating scattering with particular reference to the circular disc. Comm. Pure Appl. Math. 9, 713-746 (1956). | Zbl
[23]The low-frequency scattering by a perfectly conducting strip. Proc. Cambridge Philos. Soc. 57, 364-366 (1961). | Zbl
and [24]Die kreisförmige Tragfläche auf potentialtheoretischer Grundlage. Ing.-Arch. 8, 47-80 (1937). | JFM
[25]Theorie der schwingenden kreisförmigen Tragfläche auf potentialtheoretischer Grundlage. II. Numerischer Teil. Luftfahrtforschung 19, 282-299 (1942). | MR | Zbl
and [26]Arbitrary incidence of a plane electromagnetic wave on a conducting disk. Soviet Physics Tech. Phys. 5, 744-752 (1961).
[27]A new method for solving the problem of the diffraction of electromagnetic waves by a thin conducting disk. Soviet Physics Tech. Phys. 4, 627-637 (1959)
and [28]The circular wing and related problems. Proc. Roy. Soc. Ser. A, 268, 390-404 (1962). | Zbl
and [29]Elemente der Funktionalanalysis. Berlin, 1960.
and [30]The electrostatic field of two equal circular co-axial conducting disks. Quart. J. Mech. Appl. Math. 2, 428-451 (1949). | Zbl
[31]Diffraction of a plane electromagnetic wave on an ideally conducting circular disk. Soviet Physics Tech. Phys. 4, 1313-1325 (1960).
[82]Infinite matrices associated with diffraction by an aperture. Quart. Appl. Math. 11, 77-86 (1953). | Zbl
[33][34] An infinite system of linear equations arising in diffraction theory. New York Univ., Inst. Math. Sci., Div. Electromagnetic Res., Res. Rep. No. EM-80 (1955).
Strenge Theorie der Beugung elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe. Z. Naturforsch. 3a, 506-518 (1948). | MR | Zbl
[35][36] Theorie der Beugung elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und verwandte Probleme. Ann. Physik (6), 12, 227-236 (1953). | Zbl
Strenge Theorie der Beugung ebener elektromagnetischer Wellen an der vollkommen leitenden Kreisscheibe und an der kreisförmigen Öffnung im vollkommen leitenden ebenen Schirm. Ann. Physik (6), 7, 157-168 (1950). | Zbl
and [37]A note on diffraction by an infinite slit. Canad. J. Phys. 38, 38-47 (1960). | Zbl
[88]The diffraction of waves by ribbons and by slits. Phys. Rev. 54, 895-898 (1938). | JFM | Zbl
and [89]Eine strenge Behandlung der Beugung elektromagnetischer Wellen am Spalt. Z. Physik 134, 245-263 (1953). | Zbl
and [40]Integral equation perturbation methods in low-frequency diffraction. Proc. Symposium on Electromagnetic Waves, 323-360. Madison, 1962.
[41]Theorie der schwingenden kreisförmigen Tragfläche auf potentialtheoretischer Grundlage. I. Analytischer Teil. Luftfahrtforschung 17, 387-400 (1940). | JFM | Zbl
[42]Optics. Lectures on theoretical physics, vol. IV. New York, 1964. | Zbl
[48]Boundary value problems in lifting surface theory. Dissertation, Technological University Delft, 1959. | MR
[44]Integral equations. New York, 1957. | MR | Zbl
[45]Unsteady airfoil theory. Advances in Applied Mechanics, vol. V, 35-89. New York, 1958. | Zbl
[46]A treatise on the theory of Bessel functions. Cambridge, 1958. | JFM
[47]Linearized theory of steady high-speed flow. Cambridge, 1955. | MR | Zbl
[48]A course of modern analysis. Cambridge, 1958. | JFM
and [49]The reduction of boundary value problems to Fredholm integral equations of the second kind. Z. Angew. Math. Phys. 13, 133-152 (1962). | Zbl
[50][51] Diffraction by a disk. Proc. Roy. Soc. Ser. A., 267, 77-87 (1962). | Zbl
[52] Electromagnetic diffraction by a circular disk. Proc. Cambridge Philos. Soc. 58, 625-630 (1962). | Zbl
Some comparative calculations with the lifting surface theory of Laschka for circular and elliptic wings oscillating in subsonic flow. Nat. Aero- and Astronaut. Res. Inst., Amsterdam, NLR Rep. F. 241 (1964).
[53]