The Kirchhoff approximation and first‐order perturbation theory for rough surface scattering

David H. Berman; John S. Perkins

doi:10.1121/1.393022

The Kirchhoff approximation and first‐order perturbation theory for rough surface scattering

The Journal of the Acoustical Society of America ◽

10.1121/1.393022 ◽

1985 ◽

Vol 78 (3) ◽

pp. 1045-1051 ◽

Cited By ~ 26

Author(s):

David H. Berman ◽

John S. Perkins

Keyword(s):

Perturbation Theory ◽

Rough Surface ◽

Order Perturbation ◽

Surface Scattering ◽

Order Perturbation Theory ◽

Kirchhoff Approximation ◽

Rough Surface Scattering ◽

First Order ◽

First Order Perturbation

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The domain derivative in rough-surface scattering and rigorous estimates for first-order perturbation theory

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2002.0999 ◽

2002 ◽

Vol 458 (2028) ◽

pp. 2967-3001 ◽

Cited By ~ 5

Author(s):

Simon N. Chandler–Wilde ◽

Roland Potthast

Keyword(s):

Perturbation Theory ◽

Rough Surface ◽

Order Perturbation ◽

Surface Scattering ◽

Order Perturbation Theory ◽

Rough Surface Scattering ◽

First Order ◽

Domain Derivative ◽

First Order Perturbation

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First‐order perturbation solution for rough surface scattering cross section including the effects of gradients

The Journal of the Acoustical Society of America ◽

10.1121/1.410253 ◽

1994 ◽

Vol 96 (3) ◽

pp. 1748-1754 ◽

Cited By ~ 30

Author(s):

John E. Moe ◽

Darrell R. Jackson

Keyword(s):

Rough Surface ◽

Cross Section ◽

Perturbation Solution ◽

Scattering Cross Section ◽

Order Perturbation ◽

Surface Scattering ◽

Rough Surface Scattering ◽

First Order ◽

Scattering Cross ◽

First Order Perturbation

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Accurate first-order perturbation theory for fluids: uf-theory

The Journal of Chemical Physics ◽

10.1063/5.0031545 ◽

2021 ◽

Vol 154 (4) ◽

pp. 041102

Author(s):

Thijs van Westen ◽

Joachim Gross

Keyword(s):

Perturbation Theory ◽

Order Perturbation ◽

Order Perturbation Theory ◽

First Order ◽

First Order Perturbation

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Sensors Fault Detection for Dynamic Positioning Systems Based on First Order Perturbation Theory

2018 International Computers, Signals and Systems Conference (ICOMSSC) ◽

10.1109/icomssc45026.2018.8941738 ◽

2018 ◽

Author(s):

Xiaogong Lin ◽

Kun Liang ◽

Congcong Ding

Keyword(s):

Perturbation Theory ◽

Fault Detection ◽

Order Perturbation ◽

Order Perturbation Theory ◽

Dynamic Positioning ◽

Positioning Systems ◽

First Order ◽

First Order Perturbation

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Sensors Fault Detection for Dynamic Positioning Systems Based on First Order Perturbation Theory

2017 International Conference on Computer Technology, Electronics and Communication (ICCTEC) ◽

10.1109/icctec.2017.00248 ◽

2017 ◽

Author(s):

Xiaogong Lin ◽

Kun Liang ◽

Congcong Ding

Keyword(s):

Perturbation Theory ◽

Fault Detection ◽

Order Perturbation ◽

Order Perturbation Theory ◽

Dynamic Positioning ◽

Positioning Systems ◽

First Order ◽

First Order Perturbation

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Tidally-induced warps in T Tauri disks: First-Order Perturbation theory

Star Formation and Techniques in Infrared and mm-Wave Astronomy - Lecture Notes in Physics ◽

10.1007/3-540-58196-0_56 ◽

2008 ◽

pp. 312-312

Author(s):

Caroline Terquem ◽

Claude Bertout

Keyword(s):

Perturbation Theory ◽

Order Perturbation ◽

Order Perturbation Theory ◽

First Order ◽

T Tauri ◽

First Order Perturbation

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First-Order Perturbation Theory

Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives ◽

10.1017/cbo9781139020534.005 ◽

2011 ◽

pp. 121-147

Author(s):

Jean-Pierre Fouque ◽

George Papanicolaou ◽

Ronnie Sircar ◽

Knut Solna

Keyword(s):

Perturbation Theory ◽

Order Perturbation ◽

Order Perturbation Theory ◽

First Order ◽

First Order Perturbation

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Radiation from a D-dimensional collision of shock waves: first order perturbation theory

Journal of High Energy Physics ◽

10.1007/jhep07(2011)121 ◽

2011 ◽

Vol 2011 (7) ◽

Cited By ~ 18

Author(s):

Carlos Herdeiro ◽

Marco O. P. Sampaio ◽

Carmen Rebelo

Keyword(s):

Perturbation Theory ◽

Shock Waves ◽

Order Perturbation ◽

Order Perturbation Theory ◽

First Order ◽

First Order Perturbation

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From Dark to Bright: First-Order Perturbation Theory with Analytical Mode Normalization for Plasmonic Nanoantenna Arrays Applied to Refractive Index Sensing

Physical Review Letters ◽

10.1103/physrevlett.116.237401 ◽

2016 ◽

Vol 116 (23) ◽

Cited By ~ 45

Author(s):

T. Weiss ◽

M. Mesch ◽

M. Schäferling ◽

H. Giessen ◽

W. Langbein ◽

...

Keyword(s):

Refractive Index ◽

Perturbation Theory ◽

Order Perturbation ◽

Order Perturbation Theory ◽

First Order ◽

Refractive Index Sensing ◽

First Order Perturbation ◽

Nanoantenna Arrays

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Validity of first-order perturbation theory for relativistic energy corrections

Chemical Physics Letters ◽

10.1016/0009-2614(81)80331-4 ◽

1981 ◽

Vol 84 (2) ◽

pp. 226-227 ◽

Cited By ~ 63

Author(s):

Ernest R. Davidson ◽

Yasuyuki Ishikawa ◽

Gulzari L. Malli

Keyword(s):

Perturbation Theory ◽

Order Perturbation ◽

Order Perturbation Theory ◽

Relativistic Energy ◽

First Order ◽

First Order Perturbation

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