Research Catalog

Title

Quantum-theoretical formalism for inhomogeneous graded-index waveguides / by Sergej G. Krivoshlykov.

Author

Krivoshlykov, Sergej G., 1954-

Publication

Berlin ; New York : Akademie Verlag, [1994], ©1994.

Items in the Library & Off-site

Holdings

Details

Description

349 pages : illustrations; 25 cm

Subject

• Optical wave guides > Mathematics
• Wave equation
• Refractive index > Measurement
• Schlieren methods (Optics)

Bibliography (note)

• Includes bibliographical references (p. [330]-346) and index.

Contents

• I.1. Some examples of graded-index waveguides. I.2. Methods for characterizing inhomogeneous graded-index waveguides. I.3. Quantum-theoretical methods. I.4. Objectives and scope of the book -- Ch. 1. Dynamical symmetry of the wave equation and the quantum-theoretical formalism. 1.1. Phase picture for beams in multimode graded-index waveguides and the longitudinal scales for the characterization of beam variation. 1.2. Different representations for beam fields and their relation to waveguide excitation conditions. 1.3. Dynamical symmetry of the wave equation and algebraic evaluation of the longitudinal variation of beam parameters. 1.4. Beam stationarity length and an analog of the Tamm-Mandel'shtam energy-time uncertainty relation -- Ch. 2. Waveguides with quadratic refractive index profiles. 2.1. Paraxial beams in a waveguide with a general quadratic refractive index profile. 2.2. Coherent beams in longitudinally inhomogeneous waveguides with parabolic index profiles.
• 2.3. Coherent beams in active parabolic-index waveguides with gain or losses. 2.4. Partially coherent beams in longitudinally inhomogeneous parabolic-index waveguides -- Ch. 3. Waveguides with nonquadratic refractive index profiles. 3.1. Longitudinally inhomogeneous asymmetric waveguide with a profile corresponding to a singular oscillator potential. 3.2. Waveguides with polynomial refractive index profiles. 3.3. Construction of the optimum refractive index profile for the multimode graded-index waveguide -- Ch. 4. Graded-index waveguides with random inhomogeneities. 4.1. Passive parabolic-index waveguides with random inhomogeneities. 4.2. Active graded-index waveguides with random inhomogeneities -- Ch. 5. Excitation of modes in a graded-index waveguide. 5.1. Excitation of modes by coherent beams. 5.2. Excitation of modes in a parabolic-index waveguide by partially coherent sources. 5.3. Excitation of modes in parabolic-index waveguides by localized sources.
• Ch. 6. Characterization of optical waveguide components and sensors based on mode selection. 6.1. Sensitivity of intensity-modulated sensors employing multimode graded-index waveguides. 6.2. Sensitivity of selected modes in parabolic-index waveguides. 6.3. Sensitivity of the invariant modes in a longitudinally inhomogeneous parabolic-index fiber to axis bends. 6.4. Sensitivity of selected modes in an active parabolic-index waveguide. 6.5. Interferometric sensors employing mode selection in multimode fibers. 6.6. Components and sensors based on large-scale periodic inhomogeneity assisted evanescent coupling between nonidentical waveguides.

ISBN

3055015983 (alk. paper)

LCCN

93042127

OCLC

• 29477967
• ocm29477967

Owning Institutions

Columbia University Libraries