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Developments in plane and concave gratings: theory and experiment

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Brown, Barbara Joan (1981) Developments in plane and concave gratings: theory and experiment. PhD thesis, University of Tasmania.

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Abstract

The developments in grating performance described in this
thesis fall naturally into two parts according to whether the
grating blank is plane or concave. For plane diffraction gratings,
this study utilizes both experimental work and rigorous electromagnetic
theories to achieve improved grating and instrument performance.
The section concerned with concave gratings is entirely theoretical,
drawing on the manipulation of geometric theories to design high
quality gratings.
Three types of plane diffraction grating grooves currently
generated by holographic techniques are investigated. A discussion
of methods for accurately measuring the groove profile is presented
with particular reference to quasi-sinusoidal groove profiles.
The spectral performance of blazed holographic gratings is shown
numerically to be comparable to that of triangular groove gratings.
Consideration is then given to simple optical arrangements which
permit Fourier synthesis of complex distributions and groove
profiles.
Experimental investigations of the behaviour of resonance
anomalies exhibited by gratings having surface layers of discontinuous
conductivity are presented. It is demonstrated that a coating
consisting of a dielectric overlaid with a metal of high conductivity
drastically reduces energy absorption.
A theoretical search to determine the optimum groove modulation
of both blazed and sinusoidal plane reflection gratings is presented.
This will assist with the development of high-gain dye lasers
utilizing gratings at grazing incidence.
Aberration coefficients derived using Fermat's principle
are used for an examination of aberration-correction for Rowland
circle spectrographs. Attention is focussed on the case where
the mounting and recording points lie on the Rowland circle.
Correction at two wavelengths of primary astigmatism or primary
coma under this constraint is demonstrated. Alternatively,
primary astigmatism and primary coma can be simultaneously corrected
over a restricted wavelength range. Some practical implications
are discussed.
The geometric theory of concave gratings is extended to
accommodate higher order aberration terms. The magnitude of the
individual terms of the light path function, which describes image
formation by an aberration-corrected grating, is investigated.
Similarly, the behaviour of the image height under these restraints
is studied for various values of the relative aperture.
Finally, aberration minimization techniques are employed
in the design of a uni-axial, double concave grating monochromator.
The performance of this instrument is evaluated for ruled and
holographic gratings.

Item Type: Thesis (PhD)
Keywords: Diffraction gratings, Electromagnetic theory, Holographic interferometry
Copyright Holders: The Author
Copyright Information:

Copyright 1981 the Author - The University is continuing to endeavour to trace the copyright
owner(s) and in the meantime this item has been reproduced here in good faith. We
would be pleased to hear from the copyright owner(s).

Additional Information:

Thesis (Ph.D.)--University of Tasmania, 1981. Includes bibliographical references

Date Deposited: 25 Nov 2014 00:40
Last Modified: 21 Jun 2016 02:10
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