Abstract

Diffraction of an incident plane wave caused by a perfectly conducting, infinitesimally thick half-plane is considered in the far-field region for the case when the electric vector is polarized perpendicular to the axis of the edge. Measurements in all quadrants, with microwaves and a 0.059λ-thick screen, verify the theoretical solution of the problem due to Sommerfeld. A pronounced thickness effect is observed in the irradiance distribution when 0.18λ- and 0.37λ-thick planes are examined. The dependence with respect to polarization of the thickness effect in the diffraction pattern is discussed.

© 1973 Optical Society of America

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References

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  1. F. S. Einstein, R. A. Juliano, and C. Pine, J. Opt. Soc. Am. 61, 1487 (1971).
    [Crossref]
  2. F. S. Einstein, R. A. Juliano, and C. Pine, J. Opt. Soc. Am. 60, 621 (1970).
    [Crossref]
  3. A. Sommerfeld, Optics, translated by O. Laporte and P. Moldauer, (Academic, New York, 1954), pp. 247–265.
  4. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 573–575.
  5. J. Savornin, Ann. Phys. (Paris) 11, 129 (1939).
  6. W. Hartnagel, Ann. Phys. (Leipz.) 4, 188 (1959).
    [Crossref]

1971 (1)

1970 (1)

1959 (1)

W. Hartnagel, Ann. Phys. (Leipz.) 4, 188 (1959).
[Crossref]

1939 (1)

J. Savornin, Ann. Phys. (Paris) 11, 129 (1939).

Born, M.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 573–575.

Einstein, F. S.

Hartnagel, W.

W. Hartnagel, Ann. Phys. (Leipz.) 4, 188 (1959).
[Crossref]

Juliano, R. A.

Pine, C.

Savornin, J.

J. Savornin, Ann. Phys. (Paris) 11, 129 (1939).

Sommerfeld, A.

A. Sommerfeld, Optics, translated by O. Laporte and P. Moldauer, (Academic, New York, 1954), pp. 247–265.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 573–575.

Ann. Phys. (Leipz.) (1)

W. Hartnagel, Ann. Phys. (Leipz.) 4, 188 (1959).
[Crossref]

Ann. Phys. (Paris) (1)

J. Savornin, Ann. Phys. (Paris) 11, 129 (1939).

J. Opt. Soc. Am. (2)

Other (2)

A. Sommerfeld, Optics, translated by O. Laporte and P. Moldauer, (Academic, New York, 1954), pp. 247–265.

M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), pp. 573–575.

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Figures (5)

F. 1
F. 1

Diffraction of a plane wave by a perfectly conducting, infinitesimally thick half-plane. E0, H0, incident plane wave; k, propagation vector; P, point of observation. A, B, C, and D denote the quadrants.

F. 2
F. 2

Comparison of measurements with the Sommerfeld solution for quadrant A. —, Sommerfeld solution; ×, d = 0.059λ; ○, d = 0.18λ; +, d = 0.37λ.

F. 3
F. 3

Comparison of measurements with the Sommerfeld solution for quadrant D. —, Sommerfeld solution; ×, d = 0.059λ; ○, d = 0.18λ; +, d = 0.37λ.

F. 4
F. 4

Comparison of measurements with the Sommerfeld solution for quadrants B. —, Sommerfeld solution; ×, d = 0.059λ; ○, d = 0.18λ; +, d = 0.37λ.

F. 5
F. 5

Comparison of measurements with the Sommerfeld solution for quadrant C. —, Sommerfeld solution; ×, d = 0.059λ; ○, d = 0.18λ; +, d = 0.37λ.

Equations (2)

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H = H 0 ( 8 π k r ) 1 2 [ sec ( θ u 2 ) + sec ( θ + u 2 ) ] × exp [ i ( k r + π / 4 ) ] ,
I = I 0 ( 8 π k r ) 1 [ sec ( θ u 2 ) + sec ( θ + u 2 ) ] 2 .