Kafes Frekansının Kuadratik Ortamda Üretilen Kusurlu Kafes Solitonlari Üzerindeki Etkileri

Abstract

Kafes frekansının kusurlu kafes solitonları üzerindeki etkisi doğrusal olmayan ikinci derece (kuadratik) etkilerin olduğu ortamda araştırılmıştır. NLSM denklem sistemine bir harici kafes eklenerek optik sistemin yönetici denklemi oluşturulmuş ve sistemin soliton çözümleri kare operatör yöntemi ile hesaplanmıştır. Ayrıca, elde edilen solitonların kararlılığı, solitonların doğrusal özdeğer spektrumları ve doğrusal olmayan evolüsyonu ile test edilmiştir. Daha yüksek kafes frekansının, kuadratik ortamda kusurlu kafes solitonlarının varlık alanını genişletse de, solitonların kararlılık dinamiklerini olumsuz etkilediği gösterilmiştir.

Keywords

• Optik kafesler
• Kafes solitonları
• Soliton kararlılığı
• Kuadratik etkiler

Effects of Lattice Frequency on Vacancy Defect Solitons in a Medium with Quadratic Nonlinear Response

Abstract

The impact of lattice frequency on the defect lattice solitons have been investigated in a medium with quadratic nonlinear response. Governing equation of the optical system has been formed by adding an external lattice to the NLSM system, and soliton solutions of the system were calculated by the squared operator method. Moreover, stability of the fundamental solitons have been examined by the linear stability spectra and nonlinear evolution of the solitons. It has been demonstrated that although higher lattice frequency extends the existence domain of defective lattice solitons in a quadratic nonlinear medium, it negatively effects the stability dynamics of the solitons.

Keywords

• Optical lattices
• Lattice solitons
• Soliton stability
• Quadratic response

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