Modulation Transfer between Microwave Beams: Asymptotic Evaluation of Integrals with Pole Singularities near a First-Order Saddle Point

被引:1
作者
Cacciari, Ilaria [1 ]
Ranfagni, Anedio [1 ]
机构
[1] Ist Fis Applicata Nello Carrara, Consiglio Nazl Ric, Via Madonna Piano 10, I-50019 Sesto Fiorentino, Italy
关键词
stochastic modeling; electromagnetic propagation; microwave; delay time; saddle-point method; PROPAGATION; EQUATIONS;
D O I
10.3390/axioms13030178
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Experimental results of delay-time measurements in the transfer of modulation between microwave beams, as reported in previous articles, were interpreted on a competition (interference) between two waves, one of which is modulated and the other is a continuous wave (c.w.). The creation of one of these waves was attributed to a saddle-point contribution, while the other was attributed to pole singularities. In this paper, such an assumption is justified by a quantitative field-amplitude analysis in order to make the modeling plausible. In particular, two ways of calculating field amplitudes are considered. These lead to results that are quantitatively markedly different, although qualitatively similar.
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页数:12
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共 33 条
[21]   SOLUTION TO THE TELEGRAPHERS EQUATION IN THE PRESENCE OF REFLECTING AND PARTLY REFLECTING BOUNDARIES [J].
MASOLIVER, J ;
PORRA, JM ;
WEISS, GH .
PHYSICAL REVIEW E, 1993, 48 (02) :939-944
[22]   TIME-REVERSAL IN STOCHASTIC-PROCESSES AND THE DIRAC-EQUATION [J].
MCKEON, DGC ;
ORD, GN .
PHYSICAL REVIEW LETTERS, 1992, 69 (01) :3-4
[23]   A PLANAR RANDOM MOTION GOVERNED BY THE TWO-DIMENSIONAL TELEGRAPH EQUATION [J].
ORSINGHER, E .
JOURNAL OF APPLIED PROBABILITY, 1986, 23 (02) :385-397
[24]  
Papoulis A, 1962, FOURIER INTEGRAL ITS
[26]   ANOMALOUS PULSE DELAY IN MICROWAVE PROPAGATION - A PLAUSIBLE CONNECTION TO THE TUNNELING TIME [J].
RANFAGNI, A ;
FABENI, P ;
PAZZI, GP ;
MUGNAI, D .
PHYSICAL REVIEW E, 1993, 48 (02) :1453-1460
[27]   Diffraction effects in microwave propagation at the origin of superluminal behaviors [J].
Ranfagni, A. ;
Ricci, A. M. ;
Ruggeri, R. ;
Agresti, A. .
PHYSICS LETTERS A, 2008, 372 (44) :6541-6544
[28]   Modulation Transfer between Microwave Beams: A Hypothesized Case of a Classically-Forbidden Stochastic Process [J].
Ranfagni, Anedio ;
Cacciari, Ilaria .
AXIOMS, 2022, 11 (08)
[29]   Angular dependence in anomalous microwave propagation: A bidimensional treatment [J].
Ranfagni, Anedio ;
Agresti, Alessandro ;
Cacciari, Ilaria .
JOURNAL OF APPLIED PHYSICS, 2014, 115 (10)
[30]  
Toraldo di Francia G., 1976, INDAGINE MONDO FISIC, P338