Optical shock wave and photon-number conservation

A. M. Zheltikov
Phys. Rev. A 98, 043833 – Published 15 October 2018

Abstract

The nonlinear Schrödinger equation (NSE) provides a powerful tool for the analysis of ultrafast nonlinear-optical dynamics, including a vast class of optical solitons. Here, we show, however, that the photon-number integral of the NSE differs from the physical number of photons, conserved by more general field evolution equations. This difficulty is traced to the optical shock term, which is dropped in the NSE, making nonlinear coupling in NSE-based models frequency independent and leading to unphysical predictions for ultrabroadband, octave-spanning field waveforms.

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  • Received 24 May 2018

DOI:https://doi.org/10.1103/PhysRevA.98.043833

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

A. M. Zheltikov

  • Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA; Physics Department, International Laser Center, M. V. Lomonosov Moscow State University, Moscow 119992, Russia; Russian Quantum Center, ul. Novaya 100, Skolkovo, Moscow Region, 143025 Russia; and Kazan Quantum Center, A.N. Tupolev Kazan National Research Technological University, Kazan 420126, Russia

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Issue

Vol. 98, Iss. 4 — October 2018

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