Compressive Split-Step Fourier Method

C. BAYINDIR

Makale detayları

Compressive Split-Step Fourier Method

Yazarlar:

C. BAYINDIR

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2015 Vol.5 Issue 2, pp.298-306

Belge Tipi:

Makale

Yayın Tarihi:

11/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000746232

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In this paper an approach for decreasing the computational effort required  for the split-step Fourier method  SSFM  is introduced. It is shown that using the sparsity property of the simulated signals, the compressive sampling algorithm can be used  as a very efficient tool for the split-step spectral simulations of various phenomena which  can be modeled by using differential equations. The proposed method depends on the  idea of using a smaller number of spectral components compared to the classical split-step  Fourier method with a high number of components. After performing the time integration with a smaller number of spectral components and using the compressive sampling  technique with l1 minimization, it is shown that the sparse signal can be reconstructed  with a significantly better efficiency compared to the classical split-step Fourier method.  Proposed method can be named as compressive split-step Fourier method  CSSFM . For  testing of the proposed method the Nonlinear Schr¨odinger Equation and its one-soliton  and two-soliton solutions are considered.

Makale detayları

Compressive Split-Step Fourier Method

Yazarlar: C. BAYINDIR

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2015 Vol.5 Issue 2, pp.298-306

Belge Tipi: Makale

Yayın Tarihi: 11/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000746232

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

C. BAYINDIR

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2015 Vol.5 Issue 2, pp.298-306

Belge Tipi:

Makale

Yayın Tarihi:

11/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000746232

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147