Analysis of Optical Resonators Involving Focusing Elements

Collins, Stuart A.

doi:10.1364/ao.3.001263

Cited by 87 publications

(19 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This latter version of geometrical representations corresponds to a bilinear transformation of the Gaussian beam chart discussed in Ref. 5, and is the same as that suggested in Ref. 7.…”

Section: The Complex Mismatch Coefficient Diagramsupporting

confidence: 56%

Geometrical Representation of Gaussian Beam Propagation

Chu¹

1966

Bell System Technical Journal

View full text Add to dashboard Cite

“…This latter version of geometrical representations corresponds to a bilinear transformation of the Gaussian beam chart discussed in Ref. 5, and is the same as that suggested in Ref. 7.…”

Section: The Complex Mismatch Coefficient Diagramsupporting

confidence: 56%

Geometrical Representation of Gaussian Beam Propagation

Chu¹

1966

Bell System Technical Journal

View full text Add to dashboard Cite

“…The operation of a transmission ring resonator is equivalent to that of a linear resonator with curved or plane mirrors and focusing elements (Ref. 13), and the interpretation of its output signal is similar to that described previously for conventional laser interferometers. By using a ring resonator the laser is decoupled from the reference cavity containing the plasma without the use of separate isolation elements which at 10.6 ~ lie near the edge of current technology and have only a limited rejection ratio.…”

Section: Laser Interferometer Diagnosticsmentioning

confidence: 96%

“…The charge exchange cross-section is approximated by a constant a = lo-15 ex that (12) 2 em so ( 13) The characteristic speed vf of Franck-condon particles was chosen as 8 x 10 5 em/sec. It was assumed that after escape from the plasma a Franck-condon neutral becomes a cold neutral upon contact with the wall of the vacuum chamber.…”

Section: M921514-18mentioning

confidence: 99%

High beta capture and mirror confinement of laser produced plasmas. Semiannual report, July 1, 1975--January 31, 1976

Haught¹,

Polk²,

Fader³

et al. 1976

View full text Add to dashboard Cite

“…It is a simple thing to determine the characteristic matrices 115 P. BAUES of a resonator with internal lenses. The evaluation of the foregoing formulae, then, leads to results already known from the literature [1,8].…”

Section: A~c~ Auc~mentioning

confidence: 98%

The connection of geometrical optics with the propagation of gaussian beams and the theory of optical resonators

Baues¹

1969

Opto-electronics

View full text Add to dashboard Cite

The propagation of light near the axis of astigmatic optical systems may be described by the geometrical-optics approximation with the aid of ray-matrices. The application of the theory of diffraction to the propagation of light in such systems leads to integrals containing essentially the elements of the ray-matrices as parameters. The ABCD-law is derived by evaluating these integrals for gaussian beams. Integral equations applicable to astigmatic optical resonators, having nearly vanishing diffraction losses, are set up. They are only valid under certain conditions, which are comprehensively discussed. The eigensolutions and the eigenvalues of these integral equations are given. The spot-sizes at the resonator mirrors are derived from the eigensolutions, and the eigenvalues lead to the resonance condition. Spot-sizes and resonance condition appear as functions of the elements of the characteristic resonator matrices. The methods described here are applied to the propagation of gaussian beams through gas-lenses and to a resonator containing an internal gas-lens.1. Introduction H. Kogelnik [1] indicated that the geometrical optics ray-matrices (ABCD-matrices) are formally connected with the propagation of gaussian beams. By analogy he was led to the derivation of the ABCD-law joining the curvature of the phase front and the spot-size at two different cross sections of the gaussian beam. However, the elements of the ray-matrices appear likewise in the diffraction integrals describing the propagation of light of arbitrary field distribution through astigmatic lens-like systems. These integrals result from Huygens' principle in inhomogeneous, isotropic media for short wavelength [2]. The ABCD-Iaw will be shown to follow from them in a simple manner, if the field distribution is expanded in Hermite-Gauss-functions. At the same time the transformation of gaussian beams by astigmatic lens-like systems is obtained. The integral equations for the field distributions at the mirrors of astigmatic optical resonators in the limit of vanishing diffraction losses will be solved by applying this transformation.

show abstract

Analysis of Optical Resonators Involving Focusing Elements

Cited by 87 publications

References 8 publications

Geometrical Representation of Gaussian Beam Propagation

Geometrical Representation of Gaussian Beam Propagation

High beta capture and mirror confinement of laser produced plasmas. Semiannual report, July 1, 1975--January 31, 1976

The connection of geometrical optics with the propagation of gaussian beams and the theory of optical resonators

Contact Info

Product

Resources

About