Universal space-time properties of X waves

被引:5
作者
Ciattoni, A [1 ]
Conti, C
Di Porto, P
机构
[1] Univ Aquila, UdR, Ist Nazl Fis Mat, I-67010 Laquila, Italy
[2] Univ Aquila, Dipartimento Fis, I-67010 Laquila, Italy
[3] UdR Roma Tre, Ist Nazl Fis Mat, I-00147 Rome, Italy
[4] UdR La Sapienza, Ist Nazl Fis Mat, I-00185 Rome, Italy
关键词
D O I
10.1364/JOSAA.21.000451
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Exact results concerning spatiotemporal universal features of three-dimensional propagation-invariant solutions of the wave equation (X waves) are derived. In particular, relations connecting the pulse transverse extension to the longitudinal coordinate and the propagation velocity to the spatial field distribution are obtained for the whole class of X waves. (C) 2004 Optical Society of America.
引用
收藏
页码:451 / 455
页数:5
相关论文
共 12 条
[1]  
ARFKEN G, 1970, MATH METHODS PHYS, pCH11
[2]   Spontaneously generated X-shaped light bullets [J].
Di Trapani, P ;
Valiulis, G ;
Piskarskas, A ;
Jedrkiewicz, O ;
Trull, J ;
Conti, C ;
Trillo, S .
PHYSICAL REVIEW LETTERS, 2003, 91 (09)
[3]   NONDIFFRACTING X-WAVES - EXACT-SOLUTIONS TO FREE-SPACE SCALAR WAVE-EQUATION AND THEIR FINITE APERTURE REALIZATIONS [J].
LU, JY ;
GREENLEAF, JF .
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 1992, 39 (01) :19-31
[4]   ULTRASONIC NONDIFFRACTING TRANSDUCER FOR MEDICAL IMAGING [J].
LU, JY ;
GREENLEAF, JF .
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 1990, 37 (05) :438-447
[5]   On localized "X-shaped" Superluminal solutions to Maxwell equations [J].
Recami, E .
PHYSICA A, 1998, 252 (3-4) :586-610
[6]   Evidence of X-shaped propagation-invariant localized light waves [J].
Saari, P ;
Reivelt, K .
PHYSICAL REVIEW LETTERS, 1997, 79 (21) :4135-4138
[7]   Orthogonal X waves [J].
Salo, J ;
Friberg, AT ;
Salomaa, MM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (43) :9319-9327
[8]   Unified description of nondiffracting X and Y waves [J].
Salo, J ;
Fagerholm, J ;
Friberg, AT ;
Salomaa, MM .
PHYSICAL REVIEW E, 2000, 62 (03) :4261-4275
[9]   Demonstration of the Bessel-X pulse propagating with strong lateral and longitudinal localization in a dispersive medium [J].
Sonajalg, H ;
Ratsep, M ;
Saari, P .
OPTICS LETTERS, 1997, 22 (05) :310-312
[10]  
UGAROV VA, 1982, SPECIAL THEORY RELAT