Homogeneous and evanescent contributions in scalar near-field diffraction.

The contributions of homogeneous and evanescent waves to two-dimensional near-field diffraction patterns of scalar optical fields are examined in detail. The total plane-integrated intensities of the two contributions are introduced as convenient measures of their relative importance. As an example, the diffraction of a plane wave by a slit is considered.

[1]  Wave Theory for a Converging Spherical Incident Wave in an Infinite-aperture System , 1991 .

[2]  A. Devaney,et al.  Contribution of the inhomogeneous waves in angular-spectrum representations , 1973 .

[3]  George C. Sherman,et al.  Diffracted Wave Fields Expressible by Plane-Wave Expansions Containing Only Homogeneous Waves , 1968 .

[4]  E. W. Marchand,et al.  Comparison of the Kirchhoff and the Rayleigh–Sommerfeld Theories of Diffraction at an Aperture , 1964 .

[5]  U. Dürig,et al.  Near‐field optical‐scanning microscopy , 1986 .

[6]  D. Maystre,et al.  I Rigorous Vector Theories of Diffraction Gratings , 1984 .

[7]  E. Wolf,et al.  Conservation laws for partially coherent free fields , 1993 .

[8]  M. Kryder,et al.  Near‐field magneto‐optics and high density data storage , 1992 .

[9]  M. Kowarz.  Conservation Laws for Free Electromagnetic Fields , 1995 .

[10]  William H. Carter,et al.  Band-limited angular-spectrum approximation to a spherical scalar wave field , 1975 .

[11]  William H. Carter,et al.  Bandlimited angular spectrum approximation to a scalar dipole field , 1970 .

[12]  B. Roy Frieden,et al.  VIII Evaluation, Design and Extrapolation Methods for Optical Signals, Based on Use of the Prolate Functions , 1971 .

[13]  The Contributions of Homogeneous and Evanescent Plane Waves to the Scalar Optical Field: Exact Diffraction Formulae , 1991 .

[14]  C. Bouwkamp.  Theoretical and numerical treatment of diffraction through a circular aperture , 1970 .

[15]  E. Betzig,et al.  Near-Field Optics: Microscopy, Spectroscopy, and Surface Modification Beyond the Diffraction Limit , 1992, Science.

[16]  D. Pohl,et al.  Scanning near-field optical microscopy , 1994 .

[17]  G. Borgiotti.  Radiation and reactive energy of aperture antennas , 1963 .

[18]  E. W. Marchand,et al.  Consistent Formulation of Kirchhoff’s Diffraction Theory* , 1966 .

[19]  Julian Schwinger,et al.  ON THE THEORY OF DIFFRACTION BY AN APERTURE IN AN INFINITE PLANE SCREEN. I. , 1948 .

[20]  James E. Harvey,et al.  Fourier treatment of near‐field scalar diffraction theory , 1979 .

[21]  A. Papoulis.  Systems and transforms with applications in optics , 1981 .

[22]  Tarek M. Habashy,et al.  Reconstruction of Scattering Potentials from Incomplete Data , 1994 .

[23]  G. Toraldo di Francia.  Degrees of freedom of an image. , 1969, Journal of the Optical Society of America.

[24]  J. Stamnes,et al.  Asymptotic approximations to angular-spectrum representations , 1976 .

[25]  D. Slepian.  Some comments on Fourier analysis, uncertainty and modeling , 1983 .

[26]  M. Kowarz.  Energy constraints in optimum apodization problems , 1994 .

[27]  G. Massey.  Microscopy and pattern generation with scanned evanescent waves. , 1984, Applied optics.

[28]  Aw Lohmann,et al.  THREE-DIMENSIONAL PROPERTIES OF WAVE-FIELDS , 1978 .