Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric

DOI10.1016/S0294-1449(00)00125-6zbMath0992.78006WikidataQ127982912 ScholiaQ127982912MaRDI QIDQ5929649

Charles A. Stuart, Huan-Song Zhou

Publication date: 16 April 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2001__18_1_69_0

zbMATH Keywords

energy integralcylindrical optical filterfocusing dielectric materialguided wavesMountain Pass Theoremnonlinear eigenvalue problemself-trapped beam of lightself-trapped transverse magnetic field modes

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (12)

Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases ⋮ Cylindrically symmetric solutions of curl-curl equation with nonlocal nonlinearity ⋮ The Brezis-Nirenberg problem for the curl-curl operator ⋮ Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media ⋮ Two positive solutions of a quasilinear elliptic Dirichlet problem ⋮ Ground states of time-harmonic semilinear Maxwell equations in \(\mathbb R^3\) with vanishing permittivity ⋮ Nonlinear curl-curl problems in $\mathbb{R}^3$ ⋮ Multiple cylindrical TM-modes for a homogeneous, self-focusing dielectric ⋮ Cylindrically symmetric ground state solutions for curl-curl equations with critical exponent ⋮ Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain ⋮ Ground state solutions for quasilinear scalar field equations arising in nonlinear optics ⋮ EXISTENCE OF GUIDED CYLINDRICAL TM-MODES IN AN INHOMOGENEOUS SELF-FOCUSING DIELECTRIC

Cites Work

• Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
• CYLINDRICAL TM-MODES IN A HOMOGENEOUS SELF-FOCUSING DIELECTRIC
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• A Variational Problem Related to Self-trapping of an Electromagnetic Field
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