Citation
Specht, Walter Albert (1965) Modes in sphericalmirror resonators. dominant mode calculations in outputcoupled infinite strip mirror resonators. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/P9W2EX19. https://resolver.caltech.edu/CaltechETD:etd01122004102010
Abstract
PART I
This work is the examination of a cavity mode approach to the mode structure of a laser. Solutions of the vector wave equation for electromagnetic fields in and between perfectly conducting oblate spheroidal cavities are examined for the case of wavelengths much less than cavity dimensions. These solutions are the field modes in FabryPerot type resonators with equalradius concave spherical mirrors, or with concaveconvex spherical mirrors, when the parameters of the oblate spheroids are chosen so that the radii of curvature and spacing on the axis of rotation match those of the resonator mirrors. Expressions for the transverse and longitudinal mode structures are derived. The eigenvalue equations are written, and are solved for the case of the two lowest order modes.
Part II
This work is the numerical calculation of the steady state lowest order even and odd symmetry electromagnetic field patterns at the mirrors of the multimode resonator formed by two planeparallel infinite strip mirrors, modified for output coupling by central strips of zero reflectivity. The equation solved is the scalar HuyghensFresnel integral equation (a transverse electromagnetic wave approximation to the vector integral equation, valid when the wavelength is much less than the cavity dimensions) relating the fields at the two mirrors, converted to an eigenvalue equation, and approximated for calculations by a matrix eigenvalue equation. The mode structure, power loss and phase shift per transit, and output coupling are discussed.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Electrical Engineering 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  10 May 1965 
Record Number:  CaltechETD:etd01122004102010 
Persistent URL:  https://resolver.caltech.edu/CaltechETD:etd01122004102010 
DOI:  10.7907/P9W2EX19 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  132 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  12 Jan 2004 
Last Modified:  21 Dec 2019 03:00 
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