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Title: Reply to ''Comment on 'Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators'''

Abstract

In a Comment [Deych, Phys. Rev. A 84, 017801 (2011)] on our recent article [Chembo and Yu, Phys. Rev. A 82, 033801 (2010)] on Kerr comb generation in monolithic whispering-gallery-mode (WGM) resonators, the author claims that even though our main results ''remain intact'', the framework of our analysis contains some mathematical errors. In this Reply, we demonstrate that the author's criticisms and his alternative theory are incorrect, and that all the disagreeing claims come from the author's misunderstanding of the physical system under investigation. In particular, the main conceptual error in the Comment is the confusion between evanescent and radiative coupling mechanisms for WGM resonators (in terms of Q factor, this is in our case a confusion between {approx}10{sup 9} and {approx}10{sup 2000}, respectively). This essential misconception leads for example the author to introduce a nonphysical {approx}10{sup 2000} multiplicative correction factor for the laser pump power. We show in this Reply that our WGM resonators are radiatively closed (because of the quasi-infinite radiative Q factor), so that the Mie scattering formalism proposed by Deych, which relies on radiative coupling, can only lead to erroneous results. We also show that the modal expansion approach in our original paper is appropriate, andmore » all our approximations are physically well justified. We therefore stand by our modeling results, which are moreover in excellent agreement with the experiments reported in [Chembo, Strekalov, and Yu, Phys. Rev. Lett. 104, 103902 (2010)].« less

Authors:
 [1];  [2]
  1. FEMTO-ST Institute (CNRS UMR6174), Optics Department, 16 Route de Gray, F-25030 Besancon cedex (France)
  2. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, California 91109 (United States)
Publication Date:
OSTI Identifier:
22058813
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; CORRECTIONS; ERRORS; LASERS; NONLINEAR PROBLEMS; OPTICAL SYSTEMS; QUANTUM INFORMATION; RESONATORS; SCATTERING

Citation Formats

Chembo, Yanne K., and Yu Nan. Reply to ''Comment on 'Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators'''. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.017802.
Chembo, Yanne K., & Yu Nan. Reply to ''Comment on 'Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators'''. United States. doi:10.1103/PHYSREVA.84.017802.
Chembo, Yanne K., and Yu Nan. Fri . "Reply to ''Comment on 'Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators'''". United States. doi:10.1103/PHYSREVA.84.017802.
@article{osti_22058813,
title = {Reply to ''Comment on 'Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators'''},
author = {Chembo, Yanne K. and Yu Nan},
abstractNote = {In a Comment [Deych, Phys. Rev. A 84, 017801 (2011)] on our recent article [Chembo and Yu, Phys. Rev. A 82, 033801 (2010)] on Kerr comb generation in monolithic whispering-gallery-mode (WGM) resonators, the author claims that even though our main results ''remain intact'', the framework of our analysis contains some mathematical errors. In this Reply, we demonstrate that the author's criticisms and his alternative theory are incorrect, and that all the disagreeing claims come from the author's misunderstanding of the physical system under investigation. In particular, the main conceptual error in the Comment is the confusion between evanescent and radiative coupling mechanisms for WGM resonators (in terms of Q factor, this is in our case a confusion between {approx}10{sup 9} and {approx}10{sup 2000}, respectively). This essential misconception leads for example the author to introduce a nonphysical {approx}10{sup 2000} multiplicative correction factor for the laser pump power. We show in this Reply that our WGM resonators are radiatively closed (because of the quasi-infinite radiative Q factor), so that the Mie scattering formalism proposed by Deych, which relies on radiative coupling, can only lead to erroneous results. We also show that the modal expansion approach in our original paper is appropriate, and all our approximations are physically well justified. We therefore stand by our modeling results, which are moreover in excellent agreement with the experiments reported in [Chembo, Strekalov, and Yu, Phys. Rev. Lett. 104, 103902 (2010)].},
doi = {10.1103/PHYSREVA.84.017802},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}