Abstract

Precise control of fiber modes and their dispersion is essential, particularly for fields such as nonlinear frequency conversion or biosensing, both of which often require extensive and time-consuming simulations for design optimization. Here, we develop a first-order perturbation theory for predicting the effective index of bound and leaky fiber modes that is applicable for arbitrary global perturbations as long as the perturbations in the external surrounding are constantly homogeneous and isotropic deviations from the unperturbed fiber. This includes changes not only in permittivity and permeability, but also in wavelength. Thus, we are able to calculate the group velocity solely from the field distributions of the fiber modes at a single wavelength, which therefore allows for large-scale parameter sweeps for accurately managing dispersion. We demonstrate the capabilities of our theory for various trial systems such as step index fibers, photonic crystal fibers, and light cages.

© 2021 Optical Society of America

Analysis of general geometric scaling perturbations in a transmitting waveguide: fundamental connection between polarization-mode dispersion and group-velocity dispersion

Maksim Skorobogatiy, Mihai Ibanescu, Steven G. Johnson, Ori Weisberg, Torkel D. Engeness, Marin Soljačić, Steven A. Jacobs, and Yoel Fink
J. Opt. Soc. Am. B 19(12) 2867-2875 (2002)

Refractive index and group velocity of electromagnetic modes in a relativistic Fermi gas at finite temperatures

J. D. Mazo-Vasquez, L. M. Hincapie-Zuluaga, and E. Reyes-Gómez
J. Opt. Soc. Am. B 37(2) 211-217 (2020)

OAM mode-excited surface plasmon resonance for refractive index sensing based on a photonic quasi-crystal fiber

Exian Liu, Bei Yan, Huiying Zhou, Yuanyuan Liu, Genhua Liu, and Jianjun Liu
J. Opt. Soc. Am. B 38(12) F16-F22 (2021)

Frenet–Serret analysis of helical Bloch modes in N-fold rotationally symmetric rings of coupled spiraling optical waveguides

Y. Chen and P. St.J. Russell
J. Opt. Soc. Am. B 38(4) 1173-1183 (2021)

Constitutive equations describing optical activity in theory of dispersion

Daniel Franta and Jiří Vohánka
J. Opt. Soc. Am. B 38(2) 553-561 (2021)