Electromagnetic wave scattering from moving surfaces with high-amplitude corrugated pattern

Peter De Cupis

doi:10.1364/JOSAA.23.002538

Electromagnetic wave scattering from moving surfaces with high-amplitude corrugated pattern

Peter De Cupis

Journal of the Optical Society of America A
Vol. 23,
Issue 10,
pp. 2538-2550
(2006)
•https://doi.org/10.1364/JOSAA.23.002538

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Peter De Cupis, "Electromagnetic wave scattering from moving surfaces with high-amplitude corrugated pattern," J. Opt. Soc. Am. A 23, 2538-2550 (2006)

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Related Topics
Table of Contents Category
- Scattering
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Roughness (240.5770)
- Relativity (350.5720)
- Scattering, rough surfaces (290.5880)

About this Article
History
- Original Manuscript: December 9, 2005
- Revised Manuscript: April 7, 2006
- Manuscript Accepted: April 11, 2006

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Abstract

This paper deals with the problem of electromagnetic wave scattering from rough surfaces. By means of a generalized Floquet modal representation an analytic solution can be found that is valid for any Fourier-expandable surface pattern, with no limitation on the corrugation amplitude. By means of the special relativistic frame-hopping method, the motionless solution is generalized to the case of uniform translational relative motion between the surface and the observer. Plane-wave simplification techniques are employed to minimize the algebraic complexity of the field covariance transformations. A detailed signal analysis of the electromagnetic scattered field is performed in both the frequency and the time domains.

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		$h^{'} = 100 λ$ , $W^{'} = 100 λ$						$h^{'} = λ$ , $W^{'} = λ$						$h^{'} = λ ∕ 100$ , $W^{'} = λ ∕ 50$
		$δ S^{PO}$		$δ Υ_{η}^{PO}$		$δ ʊ_{η}^{PO}$		$δ S^{MM}$		$δ Υ_{η}^{MM}$		$δ ʊ_{η}^{MM}$		$δ S^{RR}$		$δ Υ_{η}^{RR}$		$δ ʊ_{η}^{RR}$
		▵	◻	▵	◻	▵	◻	▵	◻	▵	◻	▵	◻	▵	◻	▵	◻	▵	◻
$M_{1}$	a	30	29	21	22	39	40	36	38	28	29	43	44	28	27	19	20	36	37
	b	39	37	30	31	57	59	44	46	36	36	60	59	38	38	28	29	55	55
	c	36	34	29	30	48	50	42	45	33	34	55	54	37	38	29	30	46	48
	d	38	37	31	32	59	60	49	50	37	38	63	61	40	41	32	33	55	56
$M_{2}$	a	32	31	26	27	44	44	39	40	29	29	48	47	27	27	20	20	40	41
	b	40	40	34	35	57	58	48	49	38	39	60	59	37	37	29	28	53	55
	c	37	36	34	34	49	50	45	45	34	34	55	54	37	37	31	29	46	49
	d	39	39	36	37	58	61	50	51	40	39	61	59	41	40	33	32	54	56
$M_{3}$	a	31	30	21	22	36	38	37	38	28	27	44	44	28	27	19	20	35	35
	b	38	36	30	29	52	54	44	47	37	36	59	60	39	39	28	29	49	50
	c	35	33	29	30	48	50	43	46	33	33	55	55	38	38	29	30	46	47
	d	37	35	32	31	55	58	50	50	38	38	61	62	42	40	31	32	51	51
$M_{4}$	a	30	29	22	21	37	37	35	36	27	28	44	43	28	26	19	20	34	33
	b	39	37	30	30	52	55	44	45	35	36	58	58	38	37	28	29	48	48
	c	36	34	31	30	47	48	41	44	32	34	54	53	37	36	29	28	45	44
	d	38	36	33	32	54	58	47	48	35	36	59	60	40	39	31	32	50	48
$M_{1} : r = 1.1 h^{'} \hat{z}; θ = 5 π ∕ 4; β = 10^{- 7}$												$M_{2} : r = 100 h^{'} \hat{z}; θ = 4 π ∕ 3; β = 10^{- 6}$
$M_{3} : r = 1.1 h^{'} \hat{z}; θ = 3 π ∕ 2; β = 10^{- 5}$												$M_{4} : r = 1.1 h^{'} \hat{z}; θ = 3 π ∕ 2; β = 0.5$

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