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Título:
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First-order optical systems with unimodular eigenvalues
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Autores:
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Bastiaans, Martin J. ;
Alieva, Tatiana Krasheninnikova
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Tipo de documento:
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texto impreso
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Editorial:
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Optical Society of America, 2006-08-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Optica
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Tipo = Artículo
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Resumen:
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It is shown that a lossless first-order optical system whose real symplectic ray transformation matrix can be diagonalized and has only unimodular eigenvalues is similar to a separable fractional Fourier transformer in the sense that the ray transformation matrices of the unimodular system and the separable fractional Fourier transformer are related by means of a similarity transformation. Moreover, it is shown that the system that performs this similarity transformation is itself a lossless first-order optical system. Based on the fact that Hermite-Gauss functions are the eigenfunctions of a fractional Fourier transformer, the eigenfunctions of a unimodular first-order optical system can be formulated and belong to the recently, introduced class of orthonormal Hermite-Gaussian-type modes. Two decompositions of a unimodular first-order optical system are considered, and one of them is used to derive an easy optical realization in more detail.
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En línea:
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https://eprints.ucm.es/id/eprint/27647/1/AlievaT38libre.pdf
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