# JOHN T. WINTHROP's research while affiliated with University of Michigan and other places

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## Publications (6)

The transmittance of a hologram is described in terms of Fresnel transformation. This description facilitates the establishment of requirements for the hologram-recording material and it leads naturally to a classification of holograms made from plane transmitting objects illuminated by a point source. Four subtypes are singled out: the Fresnel-tra...

An optical analogue experiment related to a method of X-ray microscopy by successive Fourier transformation is described. Some experimental design features are discussed. Peer Reviewed http://deepblue.lib.umich.edu/bitstream/2027.42/33445/1/0000848.pdf

A convolution formulation of Fresnel diffraction is presented. The diffracted amplitude is expressed as a convolution in either direct or reciprocal space. Approximations involve the use of parabolic wavefronts and the omission of the obliquity factor. The formulation is readily applied to many optical phenomena.

A theory of Fresnel images is presented. Only the Fresnel images of plane periodic objects viewed in monochromatic light are considered. The theory is in agreement with the experimental and computer research available in the literature. Photographs of Fresnel images of gratings are shown to verify certain aspects of the theory.

Peer Reviewed http://deepblue.lib.umich.edu/bitstream/2027.42/32040/1/0000083.pdf

Peer Reviewed http://deepblue.lib.umich.edu/bitstream/2027.42/32052/1/0000095.pdf

## Citations

... If we consider fractional multiples of this Talbot length 2λ −1 then we have to take into account the cancellation encoded in the quadratic Gauss sums [3]. More technical details of the optical setting of this effect may be found in [4], [5], [6]. ...

... If we consider fractional multiples of this Talbot length 2λ −1 then we have to take into account the cancellation encoded in the quadratic Gauss sums [3]. More technical details of the optical setting of this effect may be found in [4], [5], [6]. ...

... If we consider fractional multiples of this Talbot length 2λ −1 then we have to take into account the cancellation encoded in the quadratic Gauss sums [3]. More technical details of the optical setting of this effect may be found in [4], [5], [6]. ...

... In the same year, Stroke demonstrated the first FTH experiment using laser light [11]. In the simplest form of FTH, a reference wave is created in Fourier space as a wave originating from a point-like source in real space, the object and point-like reference are positioned in the same plane [10][11][12]. The wave diffracted by the object interferes with the reference wave in the far field, and the resulting interference pattern forms the Fourier transform (FT) hologram. ...

... Because of the shorter wavelength, X-rays provide a way to achieve higher resolution than visible light. e theoretical foundations of high-resolution X-ray holography were laid by Leith et al. [5][6][7][8][9]. By improving the resolution of the medium and the incident light source [10][11][12][13][14][15], the researchers succeeded in obtaining X-ray holograms. ...

Reference: Applications of X-Ray Holography