Publication:
Nonlinear spectral singularities and laser output intensity

dc.contributor.departmentDepartment of Mathematics
dc.contributor.departmentGraduate School of Sciences and Engineering
dc.contributor.kuauthorGhaemidizicheh, Hamed
dc.contributor.kuauthorMostafazadeh, Ali
dc.contributor.kuauthorSarısaman, Mustafa
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.contributor.schoolcollegeinstituteGRADUATE SCHOOL OF SCIENCES AND ENGINEERING
dc.date.accessioned2024-11-09T23:36:04Z
dc.date.issued2017
dc.description.abstractThe mathematical notion of spectral singularity admits a description in terms of purely outgoing solutions of a corresponding linear wave equation. This leads to a nonlinear generalization of this notion for nonlinearities that are confined in space. We examine the nonlinear spectral singularities in arbitrary transverse electric (TE) and transverse magnetic (TM) modes of a mirrorless slab laser that involves a weak Kerr nonlinearity. This provides a computational scheme for the determination of the laser output intensity I for these modes. In particular, we offer an essentially mathematical derivation of the linear-dependence of I on the gain coefficient g and obtain an explicit analytic expression for its slope. This shows that if the real part eta of the refractive index of the slab does not exceed 3, there is a lower bound on the incidence angle theta below which lasing in both its TE and TM modes requires eta to be shifted by a small amount as g surpasses the threshold gain. Our results suggest that lasing in the oblique TM modes of the slab is forbidden if the incidence (emission) angle of the TM mode exceeds the Brewster's angle.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue10
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [114F357]
dc.description.sponsorshipTurkish Academy of Sciences (TUBA) This work has been supported by the Scientific and Technological Research Council of Turkey (TUBITAK) in the framework of the project no: 114F357, and by the Turkish Academy of Sciences (TUBA).
dc.description.volume19
dc.identifier.doi10.1088/2040-8986/aa840b
dc.identifier.eissn2040-8986
dc.identifier.issn2040-8978
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-85031005192
dc.identifier.urihttps://doi.org/10.1088/2040-8986/aa840b
dc.identifier.urihttps://hdl.handle.net/20.500.14288/12573
dc.identifier.wos410642700001
dc.keywordsSpectral singularity
dc.keywordsKerr nonlinearity
dc.keywordsNonlinear hemholtz equation
dc.keywordsLasing in te and tm modes
dc.keywordsBrewster's angle
dc.keywordsLaser output intensity
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal Of Optics
dc.subjectOptics
dc.titleNonlinear spectral singularities and laser output intensity
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorGhaemidizicheh, Hamed
local.contributor.kuauthorMostafazadeh, Ali
local.contributor.kuauthorSarısaman, Mustafa
local.publication.orgunit1GRADUATE SCHOOL OF SCIENCES AND ENGINEERING
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
local.publication.orgunit2Graduate School of Sciences and Engineering
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