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Proceedings Paper

A Unified Approach To The Theory And Design Of Optimum Transmission Diffraction Systems In The Soft X-Ray Range
Author(s): Roman Tatchyn; Paul Csonka; Ingolf Lindau
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Paper Abstract

Due to various recent technological developments in the fields of synchrotron radiation and microfabrication technology, the field of soft x-ray optics is experiencing a vital re-growth in several associated areas. The topic of this paper will be specifically the area of transmission diffraction systems, relevant examples of which include transmission gratings and zone plates - two devices that have been fabricated as free-standing ultrafine structures and tested by various experimenters in the soft x-ray range in recent years. In this paper we will describe a general design procedure for such systems which is guaranteed to generate the optimum diffraction structure geometries for arbitrarily specified systems composed of materials of arbitrary indices of refraction n. The systemic approach we employ first identifies a desired system function which is formally a functional of the diffraction system geometry, and then variationally derives the optimum geometries that maximize it. Two important system transfer functions on which the specific treatments in this paper are based are and I(1)/IIN and I(1)/IOUT the through-put and output diffraction efficiences, where I(1) is the total power diffracted into the first order, and IIN and IOUT are the total input and output powers impinging on the system. The results will be seen to unify all previously disclosed results in the area of zone plate theory, and will provide a sound basis on which to implement current experimental/developmental programs concerned either with fabricating more exotic diffraction structures or with maximizing or minimizing other classes of system functions in the soft x-ray range.

Paper Details

Date Published: 12 December 1984
PDF: 13 pages
Proc. SPIE 0503, Application, Theory, and Fabrication of Periodic Structures, DiffractionGratings, and Moire Phenomena II, (12 December 1984); doi: 10.1117/12.944829
Show Author Affiliations
Roman Tatchyn, Stanford University (United States)
Paul Csonka, University of Oregon (United States)
Ingolf Lindau, Stanford University (United States)

Published in SPIE Proceedings Vol. 0503:
Application, Theory, and Fabrication of Periodic Structures, DiffractionGratings, and Moire Phenomena II
Jeremy M. Lerner, Editor(s)

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