ADAPTIVE EVALUATION OF THE SOMMERFELD-TYPE INTEGRAL USING THE CHIRP ZETA-TRANSFORM

被引:15
作者
LI, YL
LIU, CH
FRANKE, SJ
机构
[1] Wave Propagation Laboratory, Department of Electrical and Computer Engineering, University of Illinois, Urbana
关键词
D O I
10.1109/8.121603
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A new adaptive integration algorithm for the computation of the Sommerfeld-type integral has been developed. The algorithm allows the user to specify the precise location of the desired range sample points and change the integration contour. In addition, the algorithm can be used to recompute the Sommerfeld-type integral with different range resolutions without recomputing the integrand. It is also shown how the algorithm can be used to adaptively increase the number of integration points required to evaluate the Sommerfeld-type integral. Numerical results show that the algorithm is useful in many interesting areas.
引用
收藏
页码:1788 / 1791
页数:4
相关论文
共 12 条
[1]  
BREKHOVSKIKH LM, 1970, WAVES LAYERED MEDIA
[2]  
Brigham E. O., 1974, FAST FOURIER TRANSFO
[3]  
DINAPOLI FR, 1971, 4103 TECH REP
[4]   ACCURATE EVALUATION OF SOMMERFELD INTEGRALS USING THE FAST FOURIER-TRANSFORM [J].
DRACHMAN, B ;
CLOUD, M ;
NYQUIST, DP .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1989, 37 (03) :403-406
[5]   WAVE-PROPAGATION IN MEDIA WITH 3-DIMENSIONAL QUADRATIC REFRACTIVE-INDEX PROFILE [J].
JENG, SK ;
LIU, CH .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1987, 81 (06) :1732-1740
[6]   IMPEDANCE FORMULATION OF THE FAST FIELD PROGRAM FOR ACOUSTIC-WAVE PROPAGATION IN THE ATMOSPHERE [J].
LEE, SW ;
BONG, N ;
RICHARDS, WF ;
RASPET, R .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1986, 79 (03) :628-634
[7]   3-DIMENSIONAL GREEN-FUNCTION FOR WAVE-PROPAGATION IN A LINEARLY INHOMOGENEOUS-MEDIUM - THE EXACT ANALYTIC SOLUTION [J].
LI, YL ;
LIU, CH ;
FRANKE, SJ .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1990, 87 (06) :2285-2291
[8]   EVALUATION OF FOURIER-TRANSFORM INTEGRALS USING FFT WITH IMPROVED ACCURACY AND ITS APPLICATIONS [J].
NARASIMHAN, MS ;
KARTHIKEYAN, M .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1984, 32 (04) :404-408
[9]  
Rabiner L. R., 1969, IEEE T AUDIO ELECTRO, V17
[10]   CHIRP Z-TRANSFORM ALGORITHM AND ITS APPLICATION [J].
RABINER, LR ;
SCHAFER, RW ;
RADER, CM .
BELL SYSTEM TECHNICAL JOURNAL, 1969, 48 (05) :1249-+