S. A. Collins, Jr., Appl. Opt. 3, 1263 (1964).
L. J. Cutrona, E. N. Leith, C. J. Palermo, and L. L. Porcello, IRE Trans. Inf. Theory IT6, 386 (1960).
Edward L. O'Neill, Introduction to Statistical Optics (Addison-Wesley, Reading, Mass., 1963).
W. Brouwer, Matrix Methods in Optical Instrument Design (Benjamin, New York, 1964).
G. D. Boyd and J. P. Gordon, Bell System Tech. J. 40, 489 (1961).
G. D. Boyd and H. Kogelnik, Bell System Tech. J. 41, 1347 (1962).
W. K. Kahn, Appl. Opt. 4, 758 (1965).
N. Kurauchi and W. Kahn, Appl. Opt. 5, 1023 (1966).
Y. Suematsu and H. Fukinuki, J. Inst. Elec. Comm. Engrs. Japan 48, 1684 (1965).
H. Kogelnik, Bell System Tech. J. 44, 455 (1965).
W. Steier, Appl. Opt. 5, 1229 (1966).
W. Brouwer, E. L. O'Neill, and A. Walther, Appl. Opt. 2, 1239 (1963).
Y. Suematsu and H. Fukinuki, Bull. Tokyo Inst. Tech. 88, 33 (1968).
A. Walther, J. Opt. Soc. Am. 59, 1325 (1969).
P. Baus, Opto-Electron. 1, 37 (1969).
A. Vander Lugt, Proc. IEEE 54, 1055 (1966).
M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1959), Ch. III.
Reference 3, p. 48.
Reference 17, Sec. 3.2.1, Ch. IV.
F. B. Hildebrandt, Methods of Applied Mathematics (Prentice-Hall, New York, 1952), Sec. 1.6.
To show complete agreement, it is necessary to change notation by putting A to C, B to D, C to A, and D to B to make our ray matrix [Eq. (16)] consistent with Kogelnik's Eq. (9).
This stability condition can be brought into agreement with the stability condition 0<AD<1 predicted on the basis of lens-waveguide theory. To show the equivalence, it is necessary to form the equivalent lens-waveguide-unit lens system from the unit mentioned here, followed by this unit, inverted end for end.
W. Lukosz, J. Opt. Soc. Am. 58, 1084 (1968).
For more complicated cases in which LN possesses a linear term in x1 or in x2 it is necessary to use Hamilton's equations. [Equation], where i = 1, 2, to derive the complete ray-matrix equations.
The case considered in Ref. 13 is slightly different, in that they start with the fields across the output plane and derive the input fields. They also incorporate the factor of (ik) in the exponent of Eq. (35) into the P's without significant change of results.
W. Kahn and J. Nemit, in Proceedings of Symposium on Quasi-Optics, edited by J. Fox (Polytechnic Press, Brooklyn, N. Y., 1964), p. 501.