Fundamentals of the Physical Theory of Diffraction

Comment on ``Fringe Waves in an Impedance Half-Plane''

“…Within the graphical accuracy this field equals 1/2 in the reflection directions φ = π/2 and φ = 3π/2, that is in the total agreement with Equation (4.16) of [4]. Besides, this figure demostrates only the directivity patterns of the fringe waves (4.12), (4.13) in [4] -not the total field (!) which is of the order (kr) (−1/2) while the GO field is of the order of (kr) 0 .…”

Suppression of scattering for small dielectric particles: anapole mode and invisibility

“…Ufimtsev`s book was translated to English 2 , and it gave a start for the development of the so-called stealth technology. It is interesting to mention that M. Levin (who was an external examiner of Ufimtsev`s PhD thesis) wrote in his official report that the zero backscattering could be derived for an azimuthally symmetric material with    (Ufimtsev highlighted this story in a book 3 ). Meanwhile, the same idea was later rediscovered 4 and published by M. Kerker, after which this condition is named as the first Kerker condition, confirming the general principle "if a notion bears a personal name, then this name is not the name of the discoverer" 5 .…”

Fringe Waves in an Impedance Half-Plane

“…In this respect, when compared to Ufimtsev's works, it appears that Ufimtsev's amplitude values were exaggerated [4,21]. In Chapter 4, Figure 4.2 of [4], amplitude values of asymptotic fringe field components take equal value with GO fields [4]. However, it is noticeable that diffracted fields amplitude values have to be half of the GO amplitude values in the shadow and reflection regions.…”

“…We observed that amplitudes of the asymptotic fringe field are finite for all direction of observation and nearly consistent with the uniform fringe fields except for the reflection and shadow boundaries. In this respect, when compared to Ufimtsev's works, it appears that Ufimtsev's amplitude values were exaggerated [4,21]. In Chapter 4, Figure 4.2 of [4], amplitude values of asymptotic fringe field components take equal value with GO fields [4].…”

“…In addition PO currents just consider the illuminated part of the scatterer and ignore the shadow regions. The physical theory of diffraction (PTD) method was proposed by Ufimtsev to overcome the first defeat [4]. The PTD consists of two main parts.…”