TY - CHAP
T1 - Laguerre–gaussian wave propagation in parabolic media
AU - Cruz y Cruz, S.
AU - Gress, Z.
AU - Jiménez-Macías, P.
AU - Rosas-Ortiz, O.
N1 - Publisher Copyright:
© 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - We report a new set of Laguerre–Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomogeneity. The conventional Laguerre–Gaussian modes, available for homogeneous media, are recovered as a particular case.
AB - We report a new set of Laguerre–Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomogeneity. The conventional Laguerre–Gaussian modes, available for homogeneous media, are recovered as a particular case.
KW - Angular momentum of light
KW - Laguerre–Gaussian modes
KW - Nonlinear Ermakov equation
KW - Paraxial wave equation
KW - Self-focusing of light
UR - http://www.scopus.com/inward/record.url?scp=85094623542&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-53305-2_8
DO - 10.1007/978-3-030-53305-2_8
M3 - Capítulo
AN - SCOPUS:85094623542
T3 - Trends in Mathematics
SP - 117
EP - 128
BT - Trends in Mathematics
PB - Springer Science and Business Media Deutschland GmbH
ER -