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Reflection, Diffraction and Scattering at Low Grazing Angle of Incidence: Regular and Random Systems
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When a monochromatic electromagnetic plane wave is incident on an infinitely extending surface with the translation invariance property, a curious phenomenon often takes place at a low grazing angle of incidence, at which the total wave field vanishes and a dark shadow appears. This paper looks for physical and mathematical reasons why such a shadow occurs. Three cases are considered: wave reflection by a flat interface between two media, diffraction by a periodic surface, and scattering from a homogeneous random surface. Then, it is found that, when a translation invariant surface does not support guided waves (eigen functions) propagating with real propagation constants, such the shadow always takes place, because the primary excitation disappears at a low grazing angle of incidence. At the same time, a shadow form of solution is proposed. Further, several open problems are given for future works.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E94-C No.1 pp.2-9
- Publication Date
- 2011/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E94.C.2
- Type of Manuscript
- Special Section INVITED PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
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Junichi NAKAYAMA, "Reflection, Diffraction and Scattering at Low Grazing Angle of Incidence: Regular and Random Systems" in IEICE TRANSACTIONS on Electronics,
vol. E94-C, no. 1, pp. 2-9, January 2011, doi: 10.1587/transele.E94.C.2.
Abstract: When a monochromatic electromagnetic plane wave is incident on an infinitely extending surface with the translation invariance property, a curious phenomenon often takes place at a low grazing angle of incidence, at which the total wave field vanishes and a dark shadow appears. This paper looks for physical and mathematical reasons why such a shadow occurs. Three cases are considered: wave reflection by a flat interface between two media, diffraction by a periodic surface, and scattering from a homogeneous random surface. Then, it is found that, when a translation invariant surface does not support guided waves (eigen functions) propagating with real propagation constants, such the shadow always takes place, because the primary excitation disappears at a low grazing angle of incidence. At the same time, a shadow form of solution is proposed. Further, several open problems are given for future works.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E94.C.2/_p
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@ARTICLE{e94-c_1_2,
author={Junichi NAKAYAMA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Reflection, Diffraction and Scattering at Low Grazing Angle of Incidence: Regular and Random Systems},
year={2011},
volume={E94-C},
number={1},
pages={2-9},
abstract={When a monochromatic electromagnetic plane wave is incident on an infinitely extending surface with the translation invariance property, a curious phenomenon often takes place at a low grazing angle of incidence, at which the total wave field vanishes and a dark shadow appears. This paper looks for physical and mathematical reasons why such a shadow occurs. Three cases are considered: wave reflection by a flat interface between two media, diffraction by a periodic surface, and scattering from a homogeneous random surface. Then, it is found that, when a translation invariant surface does not support guided waves (eigen functions) propagating with real propagation constants, such the shadow always takes place, because the primary excitation disappears at a low grazing angle of incidence. At the same time, a shadow form of solution is proposed. Further, several open problems are given for future works.},
keywords={},
doi={10.1587/transele.E94.C.2},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Reflection, Diffraction and Scattering at Low Grazing Angle of Incidence: Regular and Random Systems
T2 - IEICE TRANSACTIONS on Electronics
SP - 2
EP - 9
AU - Junichi NAKAYAMA
PY - 2011
DO - 10.1587/transele.E94.C.2
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E94-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2011
AB - When a monochromatic electromagnetic plane wave is incident on an infinitely extending surface with the translation invariance property, a curious phenomenon often takes place at a low grazing angle of incidence, at which the total wave field vanishes and a dark shadow appears. This paper looks for physical and mathematical reasons why such a shadow occurs. Three cases are considered: wave reflection by a flat interface between two media, diffraction by a periodic surface, and scattering from a homogeneous random surface. Then, it is found that, when a translation invariant surface does not support guided waves (eigen functions) propagating with real propagation constants, such the shadow always takes place, because the primary excitation disappears at a low grazing angle of incidence. At the same time, a shadow form of solution is proposed. Further, several open problems are given for future works.
ER -
English
