Concepedia

Cauchy Equation

The Cauchy Equation is an empirical dispersion relation that belongs to the class of refractive index models, specifically characterized by its formulation of the wavelength-dependent refractive index of a transparent medium as a power series in the inverse square of the wavelength.

1.2K

Publications

56.8K

Citations

1.7K

Authors

906

Institutions

Publications per year

2017–2026

151

Variants

Cauchy Dispersion FormulaCauchy's Equation

Parents

Publications

1.2K

FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

S N Kružkov · Mathematics of the USSR-Sbornik · 1970 · 1.8K citations

, , +6

Vector-valued laplace transforms and cauchy problems

Wolfgang Arendt · Israel Journal of Mathematics · 1987 · 1.4K citations

, , +13

Differential-difference operators associated to reflection groups

Charles F. Dunkl · Transactions of the American Mathematical Society · 1989 · 1.2K citations · Full text

, , +12

Least squares conformal maps for automatic texture atlas generation

Bruno Lévy, Sylvain Petitjean, Nicolas Ray et al. · 2002 · 951 citations

, , +16

Functional equations in several variables: with applications to mathematics, information theory, and to the natural and social sciences

Choice Reviews Online · 1989 · 867 citations

, , +15

1–5 of 1.2K

Authors

1.7K

  1. JB
    Janusz Brzdȩk

    Uniwersytet Komisji Edukacji Narodowej w Krakowie, Poland

    8 publications · 423 citations

    8

    h-index

  2. TK
    Tapan K. Sarkar

    Syracuse University, United States

    8 publications · 211 citations

    8

    h-index

  3. AA
    A. Alexandrou Himonas

    University of Notre Dame, United States

    8 publications · 529 citations

    7

    h-index

  4. CL
    Chein‐Shan Liu

    National Taiwan Ocean University, Taiwan

    7 publications · 95 citations

    7

    h-index

  5. JS
    Jean‐Claude Saut

    Université Paris-Sud, France

    7 publications · 561 citations

    7

    h-index

1–5 of 1.7K

Institutions

906

  1. Centre National de la Recherche Scientifique

    Paris, France

    21 h-index

    51 publications

    9.1K citations

  2. University of Notre Dame

    Notre Dame, United States

    12 h-index

    22 publications

    1.2K citations

  3. Zhengzhou University

    Zhengzhou, China

    11 h-index

    17 publications

    596 citations

  4. Institute of Mathematics

    Warsaw, Poland

    11 h-index

    13 publications

    310 citations

  5. Sapienza University of Rome

    Rome, Italy

    10 h-index

    20 publications

    471 citations

  6. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    9 h-index

    13 publications

    843 citations

  7. Chinese Academy of Sciences

    Beijing, China

    9 h-index

    12 publications

    450 citations

  8. Syracuse University

    Syracuse, United States

    9 h-index

    18 publications

    477 citations

1–8 of 906

Venues

  1. 25

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  2. Transactions of the American Mathematical Society

    TRAN · 23 publications · 2.1K citations

    18

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  3. Nonlinear Analysis

    26 publications · 1.3K citations

    17

    h-index

  4. SIAM Journal on Mathematical Analysis

    19 publications · 1.1K citations

    16

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  5. Journal of Differential Equations

    24 publications · 1.6K citations

    16

    h-index

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