Diffractive optical elements based on Fourier optical techniques: A new class of optics for extreme ultraviolet and soft x-ray wavelengths Page: 3 of 17
This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided to UNT Digital Library by the UNT Libraries Government Documents Department.
Extracted Text
The following text was automatically extracted from the image on this page using optical character recognition software:
(both 0's or both 1's), the value of the corresponding pixel on the XOR pattern is 0. Otherwise,
the value of the corresponding pixel on the XOR pattern is 1.
For a 50% duty-cycle grating of period d, the transmitted intensity function is
G(x, y) = 2 [1 + sgn (cos vx)1 (1)
where v = 27r/d.
Similarly, for a 50% duty-cycle zoneplate of diameter D and outermost zone-width Ar, the
transmitted intensity function isl
1F
ZP(x, y) = -1 + sgn (cos y 2) (2)
where r = /2 + y2 and y = a g-r .
Expand these two patterns in their Fourier series,
G(x, y) = sin(mr/2) e-imvx (3)
m=-oo
and
00
ZP(x, y) = sin(n7r/2) e-jny r2 (4)
n=-oo
Note that by comparing the Fourier series of a zoneplate to a lens, one finds that the zoneplate can
be regarded as a series of lenses with nt order focal length fn1 = .3
Upcoming Pages
Here’s what’s next.
Search Inside
This article can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Article.
Chang, Chang; Naulleau, Patrick; Anderson, Erik; Rosfjord, Kristine & Attwood, David. Diffractive optical elements based on Fourier optical techniques: A new class of optics for extreme ultraviolet and soft x-ray wavelengths, article, May 5, 2002; Berkeley, California. (https://digital.library.unt.edu/ark:/67531/metadc736829/m1/3/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.