Axisymmetric eigenmodes of magnetic type in an open resonator with spherical mirrors

2006 ◽  
Vol 49 (9) ◽  
pp. 708-718
Author(s):  
Yu. V. Svishchev
Keyword(s):  
Open Resonator ◽  
Magnetic Type ◽  
Spherical Mirrors

A variational approach to the theory of the open resonator

1972 ◽  
Vol 329 (1577) ◽  
pp. 153-169 ◽  
Keyword(s):  
Resonant Frequency ◽  
Variational Approach ◽  
Open Resonator ◽  
Wave Theory ◽  
Variational Calculation ◽  
Beam Waist ◽  
Beam Wave ◽  
Inherent Error ◽  
Spherical Mirrors

A variational calculation of tho resonant frequency of an open resonator with spherical mirrors is used to establish the accuracy of the beam-wave theory of such resonators. It is concluded that the inherent error of the beam-wave formula for resonant frequency is of the order of (kw 0 ) -4 , where w 0 is the scale radius of the beam waist. This result is confirmed by experiment.

Measurement of permittivity by means of an open resonator. I. Theoretical

1982 ◽  
Vol 380 (1778) ◽  
pp. 49-71 ◽  
Keyword(s):  
Dielectric Material ◽  
Open Resonator ◽  
Variational Formula ◽  
Dielectric Materials ◽  
Companion Paper ◽  
Radius Of Curvature ◽  
Complex Source ◽  
Spherical Mirrors ◽  
Diffraction Effects ◽  
Plane Slab

The objective of this paper is to provide a reliable theoretical foundation for the open-resonator method of measuring permittivity and loss-tangent of dielectric materials. From an exact solution of Maxwell’s equations obtained by means of the complex-source-point method, simplified formulae for the six Cartesian components of the electromagnetic field are obtained. These are then used in a variational formula to obtain an accurate formula for the resonant frequency of an open resonator with spherical mirrors (of equal radius of curvature) having a parallel-plane slab of dielectric material located centrally between the two mirrors. It is assumed that the mirrors are sufficiently large for diffraction effects to be negligible. In the following companion paper II, experimental results are presented which verify the accuracy, within the usual limits of practical measurement, of the simple correction formulae deduced here.

Sign in / Sign up

Export Citation Format

Share Document