On the Model of the 'Equivalent' Confocal Resonator System

1966 ◽  
Vol 13 (3) ◽  
pp. 229-239 ◽  
Author(s):  
Helmut K.V. Lotsch
Keyword(s):  
Resonator System ◽  
Confocal Resonator

Multimode Resonators with a Small Fresnel Number (Lowest-Order Eigenmodes)

1965 ◽  
Vol 20 (1) ◽  
pp. 38-48 ◽  
Author(s):  
Helmut K. V. Lotsch
Keyword(s):  
Imaginary Part ◽  
Traveling Wave ◽  
General Type ◽  
Wave Type ◽  
Fresnel Number ◽  
Fabry Perot ◽  
Diffracted Waves ◽  
Resonator System ◽  
The Waves ◽  
Confocal Resonator

The Fabry-Pèrot Interferometer, the confocal and the spherical resonator systems are investigated. The lowest-order traveling-wave type eigenmodes are calculated. Numerical values for the diffraction losses are given. The smallest diffraction losses are obtained for the general-type eigenmode of a confocal resonator system. The eigenfunctions of an open-walled resonator show a point of inflection as their characteristic feature. They are complex if the Fresnel Number is finite. When calculate over appropriate surfaces, their imaginary part, in the region close to the axis, decreases as F increases. In that region the waves resonate between the reflectors. Towards the rim of the system the imaginary part increases rapidly as do the diffracted waves associated with the imaginary part.

Resonator System for Low and Superlow Voltage Magnetrons

1999 ◽  
Vol 53 (4-5) ◽  
pp. 140-143
Author(s):  
G.Ya. Levin ◽  
S. N. Terekhin ◽  
M. O. Horunzhii
Keyword(s):  
Resonator System

Un-Shocked High Amplitude Standing Waves in Wave-Shaped Resonators

2012 ◽  
Author(s):  
Dion Savio Antao ◽  
Bakhtier Farouk
Keyword(s):  
Numerical Study ◽  
Fluid Dynamic ◽  
Ambient Pressure ◽  
Standing Waves ◽  
High Amplitude ◽  
Prime Mover ◽  
Non Linear ◽  
Resonator System ◽  
Cylindrical Resonators ◽  
Linear Nature

A numerical study of non-linear, high amplitude standing waves in non-cylindrical circular resonators is reported here. These waves are shock-less and can generate peak acoustic overpressures that can exceed the ambient pressure by three/four times its nominal value. A high fidelity compressible computational fluid dynamic model is used to simulate the phenomena in cylindrical and arbitrarily shaped axisymmetric resonators. A right circular cylinder and frustum of cone are the two geometries studied. The model is validated using past numerical and experimental results of standing waves in cylindrical resonators. The non-linear nature of the harmonic response of the frustum of cone resonator system is investigated for two different working fluids (carbon dioxide and argon) operating at various values of piston amplitude. The high amplitude non-linear oscillations demonstrated can be used as a prime mover in a variety of applications including thermoacoustic cryocooling.

scholarly journals Multipass optical amplifier using a double confocal resonator geometry

1987 ◽  
Vol 22 (12) ◽  
pp. 1665-1671 ◽  
Author(s):  
R.L. Fork ◽  
F.A. Beisser ◽  
D.K. Fork
Keyword(s):  
Optical Amplifier ◽  
Confocal Resonator
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