메뉴 건너뛰기




Volumn 12, Issue 5, 2011, Pages 2844-2850

On electromagnetic wave propagation in fractional space

Author keywords

Fractal media; Fractional space; Helmholtz equation; Wave propagation

Indexed keywords

ANALYTICAL SOLUTIONS; FRACTAL MEDIA; FRACTIONAL SPACE; HELMHOLTZ;

EID: 79957884352     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.04.010     Document Type: Article
Times cited : (78)

References (31)
  • 1
    • 0002672599 scopus 로고
    • Dimensional renormalization: The number of dimensions as a regularizing parameter
    • C.G. Bollini, and J.J. Giambiagi Dimensional renormalization: the number of dimensions as a regularizing parameter Nuovo Cimento B 12 1972 20 26
    • (1972) Nuovo Cimento B , vol.12 , pp. 20-26
    • Bollini, C.G.1    Giambiagi, J.J.2
  • 2
    • 10444259247 scopus 로고
    • On renormalization and complex spacetime dimensions
    • J.F. Ashmore On renormalization and complex spacetime dimensions Communications in Mathematical Physics 29 1973 177 187
    • (1973) Communications in Mathematical Physics , vol.29 , pp. 177-187
    • Ashmore, J.F.1
  • 3
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of EulerLagrange equations for fractional variational problems
    • O.P. Agrawal Formulation of EulerLagrange equations for fractional variational problems Journal of Mathematical Analysis and Applications 271 1 2002 368 379
    • (2002) Journal of Mathematical Analysis and Applications , vol.271 , Issue.1 , pp. 368-379
    • Agrawal, O.P.1
  • 4
    • 23344444772 scopus 로고    scopus 로고
    • Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives
    • D. Baleanu, and S. Muslih Lagrangian formulation of classical fields within RiemannLiouville fractional derivatives Physica Scripta 72 23 2005 119 121 (Pubitemid 41101668)
    • (2005) Physica Scripta , vol.72 , Issue.2-3 , pp. 119-121
    • Baleanu, D.1    Muslih, S.I.2
  • 5
    • 0001025287 scopus 로고
    • Scalar Casimir effect for a D-dimensional sphere
    • C.M. Bender, and K.A. Milton Scalar Casimir effect for a D-dimensional sphere Physical Review D 50 1994 6547 6555
    • (1994) Physical Review D , vol.50 , pp. 6547-6555
    • Bender, C.M.1    Milton, K.A.2
  • 6
    • 0025463638 scopus 로고
    • Anisotropy and isotropy: A model of fraction-dimensional space
    • X.F. He Anisotropy and isotropy: A model of fraction-dimensional space Solid State Communications 75 2 1990 111 114
    • (1990) Solid State Communications , vol.75 , Issue.2 , pp. 111-114
    • He, X.F.1
  • 7
    • 33750082064 scopus 로고    scopus 로고
    • Fractional multipoles in fractional space
    • DOI 10.1016/j.nonrwa.2005.07.001, PII S1468121805001124
    • S. Muslih, and D. Baleanu Fractional multipoles in fractional space Nonlinear Analysis. Real World Applications 8 2007 198 203 (Pubitemid 44584793)
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , Issue.1 , pp. 198-203
    • Muslih, S.I.1    Baleanu, D.2
  • 8
    • 36749116500 scopus 로고
    • Axiomatic basis for spaces with noninteger dimension
    • F.H. Stillinger Axiomatic basis for spaces with noninteger dimension Journal of Mathematical Physics 18 6 1977 1224 1234
    • (1977) Journal of Mathematical Physics , vol.18 , Issue.6 , pp. 1224-1234
    • Stillinger, F.H.1
  • 11
    • 33746069046 scopus 로고    scopus 로고
    • Electromagnetic fields on fractals
    • DOI 10.1142/S0217732306020974, PII S0217732306020974
    • V.E. Tarasov Electromagnetic fields on fractals Modern Physics Letters A 21 20 2006 1587 1600 (Pubitemid 44078699)
    • (2006) Modern Physics Letters A , vol.21 , Issue.20 , pp. 1587-1600
    • Tarasov, V.E.1
  • 12
    • 3142618012 scopus 로고    scopus 로고
    • Equations of motion in a noninteger-dimension space
    • C. Palmer, and P.N. Stavrinou Equations of motion in a noninteger-dimension space Journal of Physics A 37 2004 6987 7003
    • (2004) Journal of Physics A , vol.37 , pp. 6987-7003
    • Palmer, C.1    Stavrinou, P.N.2
  • 13
    • 13444252540 scopus 로고    scopus 로고
    • Continuous medium model for fractal media
    • V.E. Tarasov Continuous medium model for fractal media Physics Letters A 336 23 2005
    • (2005) Physics Letters A , vol.336 , Issue.23
    • Tarasov, V.E.1
  • 18
    • 79953066753 scopus 로고    scopus 로고
    • An exact solution of the cylindrical wave equation for electromagnetic field in fractional dimensional space
    • M. Zubair, M.J. Mughal, and Q.A. Naqvi An exact solution of the cylindrical wave equation for electromagnetic field in fractional dimensional space Progress in Electromagnetics Research Letters, PIER 114 2011 443 455
    • (2011) Progress in Electromagnetics Research Letters, PIER , vol.114 , pp. 443-455
    • Zubair, M.1    Mughal, M.J.2    Naqvi, Q.A.3
  • 19
    • 78751502791 scopus 로고    scopus 로고
    • Mandelbrot scaling and parametrization invariant theories
    • S. Muslih, and D. Baleanu Mandelbrot scaling and parametrization invariant theories Romanian Reports in Physics 62 4 2010 689 696
    • (2010) Romanian Reports in Physics , vol.62 , Issue.4 , pp. 689-696
    • Muslih, S.1    Baleanu, D.2
  • 20
    • 77958613177 scopus 로고    scopus 로고
    • Lagrangian formulation of Maxwell's field in fractional D dimensional spacetime
    • S. Muslih, M. Saddallah, D. Baleanu, and E. Rabe Lagrangian formulation of Maxwell's field in fractional D dimensional spacetime Romanian Reports in Physics 55 78 2010 659 663
    • (2010) Romanian Reports in Physics , vol.55 , Issue.78 , pp. 659-663
    • Muslih, S.1    Saddallah, M.2    Baleanu, D.3    Rabe, E.4
  • 21
  • 22
    • 77955843408 scopus 로고    scopus 로고
    • Solutions of a particle with fractional [delta]-potential in a fractional dimensional space
    • S. Muslih Solutions of a particle with fractional [delta]-potential in a fractional dimensional space International Journal of Theoretical Physics 49 9 2010 2095 2104
    • (2010) International Journal of Theoretical Physics , vol.49 , Issue.9 , pp. 2095-2104
    • Muslih, S.1
  • 23
    • 73949106502 scopus 로고    scopus 로고
    • A scaling method and its applications to problems in fractional dimensional space
    • S. Muslih, and Om P. Agrawal A scaling method and its applications to problems in fractional dimensional space Journal of Mathematical Physics 50 2009 123501
    • (2009) Journal of Mathematical Physics , vol.50 , pp. 123501
    • Muslih, S.1    Agrawal, O.P.2
  • 25
    • 71049136534 scopus 로고    scopus 로고
    • Solution of the equations of motion for Einstein's field in fractional D dimensional spacetime
    • M. Sadallah, and Sami I. Muslih Solution of the equations of motion for Einstein's field in fractional D dimensional spacetime International Journal of Theoretical Physics 48 12 2009 3312 3318
    • (2009) International Journal of Theoretical Physics , vol.48 , Issue.12 , pp. 3312-3318
    • Sadallah, M.1    Muslih, S.I.2
  • 26
    • 43749086193 scopus 로고    scopus 로고
    • Solutions of massless conformal scalar field in an n-dimensional Einstein space
    • S. Muslih, D. Baleanu, and E.M. Rabei Solutions of massless conformal scalar field in an n-dimensional Einstein space Acta Physica Polonica Series B 39 4 2008 887 892
    • (2008) Acta Physica Polonica Series B , vol.39 , Issue.4 , pp. 887-892
    • Muslih, S.1    Baleanu, D.2    Rabei, E.M.3
  • 27
    • 33750493372 scopus 로고
    • Quantum field-theory, models in less than 4 dimensions
    • K.G. Willson Quantum field-theory, models in less than 4 dimensions Physical Review D 7 10 1973 2911 2926
    • (1973) Physical Review D , vol.7 , Issue.10 , pp. 2911-2926
    • Willson, K.G.1
  • 28
    • 3142601084 scopus 로고
    • The scattering of electromagnetic waves in fractal media
    • Zhen-song Wang, and Bao-wei Lu The scattering of electromagnetic waves in fractal media Waves in Random and Complex Media 4 1 1994 97 103
    • (1994) Waves in Random and Complex Media , vol.4 , Issue.1 , pp. 97-103
    • Wang Z.-song1    Lu B.-wei2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.