We have not rigorously justified the use of the Laplace transform method for optical cavities. Replacement of the laser and cavity by equivalent electrical circuits lends credence to our procedure. Such equivalent circuits have been studied, for example, by E. I. Gordon, Bell Syst. Tech. J. 43, 507 (1963).

M. Born, E. Wolf, Principles of Modern Optics (Pergamon, New York, 1980). Equation (2) of the text is a generalization of Eq. (12), p. 325, in Born and Wolf.

The measurement of decay time to determine cavity losses is by no means original to us. The technique has its roots in passive RLC circuit theory and in microwave networks. Although cavity decay time is discussed in the literature (compare Ref. 9), we are not aware of any published work describing apparatus or experiments making use of it. We are, however, aware that techniques measuring cavity decay have indeed been used by some individuals to measure optical cavity characteristics. A rotating mirror has been used to gate laser light into an optical cavity (M. Ford, Ph.D. Thesis, U. Glasgow, Scotland, 1979, unpublished). Madey uses a similar technique to measure the decay time of a free-electron laser cavity (J. Madey, Stanford U.; private communication).

We have not rigorously justified the use of the Laplace transform method for optical cavities. Replacement of the laser and cavity by equivalent electrical circuits lends credence to our procedure. Such equivalent circuits have been studied, for example, by E. I. Gordon, Bell Syst. Tech. J. 43, 507 (1963).

On Laplace transform calculus see, for example, B. P. Lathi, Signals Systems and Communication (Wiley, New York, 1965).

M. Born, E. Wolf, Principles of Modern Optics (Pergamon, New York, 1980). Equation (2) of the text is a generalization of Eq. (12), p. 325, in Born and Wolf.

We have derived formulas assuming pointlike losses. The problem of distributed losses is discussed by A. Yariv, Quantum Electronics (Wiley, New York, 1975), p. 141.

A. Yariv, Introduction to Optical Electronics (Holt, Rinehart, & Winston, New York, 1971), p.79.

Compare H. W. Kogelnik, T. Li, Appl. Opt. 5, 1550 (1966); S. A. Collins, Appl. Opt. 3, 1263 (1964).

[Crossref]
[PubMed]

V. E. Sanders, Appl. Opt. 16, 19 (1977); V. E. Sanders, Rockwell International; private communication.

[Crossref]
[PubMed]

J. M. Herbelin, J. A. McKay, M. A. Kwok, R. H. Ueunten, D. S. Urevig, D. J. Spencer, D. J. Benard, Appl. Opt. 19, 144 (1980).

[Crossref]
[PubMed]

We have not rigorously justified the use of the Laplace transform method for optical cavities. Replacement of the laser and cavity by equivalent electrical circuits lends credence to our procedure. Such equivalent circuits have been studied, for example, by E. I. Gordon, Bell Syst. Tech. J. 43, 507 (1963).

On Laplace transform calculus see, for example, B. P. Lathi, Signals Systems and Communication (Wiley, New York, 1965).

The scrutinizing reader will have noted that the boundary condition that E(t = 0−) = E(t = 0+) is not met in Eq. (10) because of the omission of the phase factor in Eq. (2). The condition can be regained by replacing t on the right-hand sides of Eqs. (10) by t − t0 where t0 is the light travel time from the input to the output mirror.

Ref. 4, p. 328.

We have derived formulas assuming pointlike losses. The problem of distributed losses is discussed by A. Yariv, Quantum Electronics (Wiley, New York, 1975), p. 141.

A. Yariv, Introduction to Optical Electronics (Holt, Rinehart, & Winston, New York, 1971), p.79.

Ref. 4, p. 42.

The measurement of decay time to determine cavity losses is by no means original to us. The technique has its roots in passive RLC circuit theory and in microwave networks. Although cavity decay time is discussed in the literature (compare Ref. 9), we are not aware of any published work describing apparatus or experiments making use of it. We are, however, aware that techniques measuring cavity decay have indeed been used by some individuals to measure optical cavity characteristics. A rotating mirror has been used to gate laser light into an optical cavity (M. Ford, Ph.D. Thesis, U. Glasgow, Scotland, 1979, unpublished). Madey uses a similar technique to measure the decay time of a free-electron laser cavity (J. Madey, Stanford U.; private communication).

M. Born, E. Wolf, Principles of Modern Optics (Pergamon, New York, 1980). Equation (2) of the text is a generalization of Eq. (12), p. 325, in Born and Wolf.