Abstract
The integrals-of-motion method, the coherent states method, the method of the dynamical symmetry group, as well as the density matrix formalism, are used for the description of paraxial optical beam and pulse propagation in a weakly inhomogeneous medium. The formalism developed is then applied to a parabolic-index medium with bent axis of symmetry in which the index distribution varies along the direction of propagation. Expressions for beam trajectory and width as well as for r.m.s. pulse width are obtained. It is shown that certain particular longitudinal dependences of the index distribution function do not influence beam parameters. This phenomenon is used to achieve matching when two different parabolic-index waveguides are to be butt-joined. The connection of two parabolic-index waveguides with axis displacement is also discussed as an example and comparison between theoretical results and experimental data is made.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Gloge andE. A. J. Marcatili,Bell Syst. Tech. J. 52 (1973) 1563–78.
D. Marcuse,ibid 52 (1973) 1169–74.
S. D. Personick,ibid 50 (1971) 843–59.
D. Marcuse,ibid 51 (1972) 1199–232.
R. Olshansky,Appl. Opt. 14 (1975) 935–45.
M. Rousseau andJ. Arnaud,Opt. Quant. Elect. 10 (1978) 53–60.
S. G. Krivoshlykov andI. N. Sissakian ibid 11 (1979) 393–405.
R. J. Glauber,Phys. Rev. 131 (1963) 2766–88.
I. A. Malkin andV. I. Man'ko, ‘Dynamical Symmetry and Coherent States of Quantum Systems’ (Nauka, Moscow, 1979).
V. I. Man'KO in ‘Quantum Electrodynamics with External Field’ (Tomsk University, Tomsk, 1978) 101–19.
S. G. Krivoshlykov andI. N. Sissakian,Preprint No. 11 7 P. N. Lebedev Physical Institute Academy of Sciences of the USSR (1978).
Idem, Pis'ma Zh. Tech. Fiz. 5 (1979) 1069–73.
Idem, Kvantovaya Elekt. 7 (1980) 553–65.
D. Marcuse, ‘Light Transmission Optics’ (Van Nostrand Reinhold, New York, 1972).
J. A. Arnaud,Appl. Opt. 8 (1969) 1909–48.
Idem, Bell Syst. Tech. J. 49 (1970) 2311–48.
Idem, Prog. Opt. 11 (1973) 249–304.
G. Eichmann,J. Opt. Soc. Amer. 61 (1971) 161–68.
S. G. Krivoshlykov, I.A. Malkin andV. I. Man'ko,Preprint No. 25 P. N. Lebedev Physical Institute Academy of Sciences of the USSR (1977).
S. G. Krivoshlykov andV. I. Man'ko,Phys. Stat. Solidi (b)97 (1980) 77–85.
W. Louisell, ‘Radiation and Noise in Quantum Electronics’ (McGraw-Hill, New York, 1964).
K. Husimi,Progr. Theor. Phys. 9 (1953) 381–402.
I. A. Malkin andV. I. Man'ko,Phys. Lett. A32 (1970) 243–4.
A. I. Baz, J. B. Zeldovitch andA. M. Perelomov, ‘Rasseyanie Reaktsii i Raspady v Nerelyativistkoi Kvantovoi Mechanike’ (Nauka, Moscow, 1971).
C. Eckart,Phys. Rev. 35 (1930) 1303–9.
V. L. Pokrovsky, S. K. Savvinykh andF. P. Ulinich,Zh. Eksp. Teor. Fiz. 34 (1958) 1272–77, 1629-31.
V. L. Pokrovsky, I. M. Khalatnikov,ibid 40 (1961) 1713.
L. Jeunhomme andJ. P. Pocholle,Appl. Opt. 17 (1978) 463–8.
A. H. Cherin andR. J. Rich,ibid 16 (1977) 498–500.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Krivoshlykov, S.G., Sissakian, I.N. Optical beam and pulse propagation in inhomogeneous media. Application to multimode parabolic-index waveguides. Opt Quant Electron 12, 463–475 (1980). https://doi.org/10.1007/BF00619920
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00619920