Date of Award

2024

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Optical Science and Engineering

Committee Chair

Patrick J. Reardon

Committee Member

Hongrok Chang

Committee Member

Lingze Duan

Committee Member

James Hadaway

Committee Member

Robert Lindquist

Research Advisor

Patrick J. Reardon

Subject(s)

Optical spectrometers--Design, Physical optics--Simulation methods

Abstract

This dissertation develops a new analytical approach for designing and analyzing multi-pass cavities like the Herriott cell employing the graphical yӯ diagram approach. The new technique can be deployed in spectroscopy absorption detection, femtoseconds laser cavities, or any off -axis spherical mirror interferometers applications. Such a system can be uniquely designed and evaluated by entering a few parameters that define the required physics for the cell, the packaging size limits for the system and the probe beam size, plus two user selected parameters. The existing design method, developed by Herriott, is discussed and then the yӯ diagram method is presented and applied, showing several design solutions that meet the spectroscopic absorption system requirements. The adaptability of the yӯ diagram approach is then shown, presenting several design solutions with mirrors of arbitrary curvatures, and a new approach of rapid calculations of 3rd order astigmatism, the dominant aberration in these systems. This dissertation also employs the yӯ diagram of Gaussian beams to illustrate detailed design parameters of gas spectrometer sensor and develops an enhanced Gaussian beam decomposition technique that could be used for physical optics, and diffraction analysis for this system or any other optical system. These methods enable rapid, intuitive layout and creating of simple equations yielding results match very well with physical optics ray tracing software.

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