The Hermite-Gauss basis functions have been extensively employed in classical and quantum optics due to their convenient analytic properties. A class of multivariate Hermite-Gauss functions, the anisotropic Hermite-Gauss functions, arise by endowing the standard univariate Hermite-Gauss functions with a positive definite quadratic form. These multivariate functions admit useful applications in optics, signal analysis and probability theory, however they have received little attention in literature. In this paper, we examine the properties of these functions, with an emphasis on applications in computational optics.
Hermite functions orthogonal basis computational optics linear canonical transform Fourier transform Wigner-Vile distribution eigenfunctions
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Erken Görünüm Tarihi | 15 Ağustos 2023 |
Yayımlanma Tarihi | 23 Nisan 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 53 Sayı: 2 |