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References

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  1. A. Sommerfeld, Optics, Vol. IV (Academic, New York, 1972), p. 199.
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw–Hill, New York, 1968), p. 42.
  3. H. Weyl, Ann. Physik 60, 481 (1919).
    [CrossRef]
  4. G. C. Sherman, J. Opt. Soc. Am. 57, 546 (1967).
    [CrossRef] [PubMed]
  5. É. Lalor, J. Opt. Soc. Am. 58, 1235 (1968).
    [CrossRef]
  6. Alfredo Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, New York, 1966), p. 20.
  7. J. A. Stratton, Electromagnetic Theory (McGraw–Hill, New York, 1941), p. 577.
  8. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1970), p. 766.
  9. P. Roman, Advanced Quantum Theory (Addison–Wesley, Reading, Mass., 1965), p. 152.

1968 (1)

1967 (1)

1919 (1)

H. Weyl, Ann. Physik 60, 481 (1919).
[CrossRef]

Arfken, G.

G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1970), p. 766.

Baños, Alfredo

Alfredo Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, New York, 1966), p. 20.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw–Hill, New York, 1968), p. 42.

Lalor, É.

Roman, P.

P. Roman, Advanced Quantum Theory (Addison–Wesley, Reading, Mass., 1965), p. 152.

Sherman, G. C.

Sommerfeld, A.

A. Sommerfeld, Optics, Vol. IV (Academic, New York, 1972), p. 199.

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw–Hill, New York, 1941), p. 577.

Weyl, H.

H. Weyl, Ann. Physik 60, 481 (1919).
[CrossRef]

Ann. Physik (1)

H. Weyl, Ann. Physik 60, 481 (1919).
[CrossRef]

J. Opt. Soc. Am. (2)

Other (6)

Alfredo Baños, Dipole Radiation in the Presence of a Conducting Half-Space (Pergamon, New York, 1966), p. 20.

J. A. Stratton, Electromagnetic Theory (McGraw–Hill, New York, 1941), p. 577.

G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1970), p. 766.

P. Roman, Advanced Quantum Theory (Addison–Wesley, Reading, Mass., 1965), p. 152.

A. Sommerfeld, Optics, Vol. IV (Academic, New York, 1972), p. 199.

J. W. Goodman, Introduction to Fourier Optics (McGraw–Hill, New York, 1968), p. 42.

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Equations (10)

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exp ( i k r ) 4 π r = i 4 π λ - d p m exp ( i k m z ) exp ( i k p · x ) ,
( 2 + k 2 ) G 0 ( r - r ) = - δ ( r - r ) ,
G 0 ( r - r ) = exp ( i k r - r ) 4 π r - r .
G 0 ( x - x , z - z ) = - d ( κ p ) G ˜ 0 ( κ p , z - z ) × exp [ i 2 π κ p · ( x - x ) ] ,
δ ( x - x ) = - d ( κ p ) exp [ i 2 π κ p · ( x - x ) ] .
[ d 2 d z 2 + k 2 ( 1 - p · p ) ] G ˜ 0 ( κ p , z - z ) = - δ ( z - z ) .
G ˜ 0 ( κ p , z - z ) = { A ( κ p ) exp [ i k m ( z - z ) ] , z z A ( κ p ) exp [ - i k m ( z - z ) ] , z z ,
lim e 0 { d d z G ˜ 0 ( κ p , z - z ) | z = z + - d d z G ˜ 0 ( κ p , z - z ) | z = z - } = - 1.
A ( κ p ) = i / 2 k m .
G 0 ( x - x , z - z ) = { i 4 π λ - d p m exp [ i k m ( z - z ) ] × exp [ i k p · ( x - x ) ] , z z i 4 π λ - d p m exp [ - i k m ( z - z ) ] × exp [ i k p · ( x - x ) ] , z z .