Quantum-Theoretical Formalism for Inhomogeneous Graded-Index Waveguides Book

	Preface	9
	Introduction	13
I.1	Some examples of graded-index waveguides	13
I.2	Methods for characterizing inhomogeneous graded-index waveguides	17
I.3	Quantum-theoretical methods	20
I.4	Objectives and scope of the book	21
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	25
1.2	Different representations for beam fields and their relation to waveguide excitation conditions	32
1.3	Dynamical symmetry of the wave equation and algebraic evaluation of the longitudinal variation of beam parameters	61
1.4	Beam stationarity length and an analog of the Tamm-Mandel'shtam energy-time uncertainty relation	84
Ch. 2	Waveguides with quadratic refractive index profiles
2.1	Paraxial beams in a waveguide with a general quadratic refractive index profile	91
2.2	Coherent beams in longitudinally inhomogeneous waveguides with parabolic index profiles	108
2.3	Coherent beams in active parabolic-index waveguides with gain or losses	163
2.4	Partially coherent beams in longitudinally inhomogeneous parabolic-index waveguides	173
Ch. 3	Waveguides with nonquadratic refractive index profiles
3.1	Longitudinally inhomogeneous asymmetric waveguide with a profile corresponding to a singular oscillator potential	193
3.2	Waveguides with polynomial refractive index profiles	201
3.3	Construction of the optimum refractive index profile for the multimode graded-index waveguide	229
Ch. 4	Graded-index waveguides with random inhomogeneities
4.1	Passive parabolic-index waveguides with random inhomogeneities	236
4.2	Active graded-index waveguides with random inhomogeneities	255
Ch. 5	Excitation of modes in a graded-index waveguide
5.1	Excitation of modes by coherent beams	263
5.2	Excitation of modes in a parabolic-index waveguide by partially coherent sources	287
5.3	Excitation of modes in parabolic-index waveguides by localized sources	299
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	309
6.2	Sensitivity of selected modes in parabolic-index waveguides	311
6.3	Sensitivity of the invariant modes in a longitudinally inhomogeneous parabolic-index fiber to axis bends	318
6.4	Sensitivity of selected modes in an active parabolic-index waveguide	320
6.5	Interferometric sensors employing mode selection in multimode fibers	321
6.6	Components and sensors based on large-scale periodic inhomogeneity assisted evanescent coupling between nonidentical waveguides	324
	References	330
	Subject index	347