The parity of self-images obtained at a half of Talbot distance is investigated. Conditions for inversion are found. A subset of the functions fulfilling Montgomery's condition, namely those composed of sinusoids with frequencies in the ratio of the square root of odd numbers, replicate in inverted form. Some examples are commented, numerically simulated and verified by experiment. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
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Univ Santiago de Compostela, Dept Appl Phys, Grp GRIN Opt, E-15782 Santiago De Compostela, SpainUniv Santiago de Compostela, Dept Appl Phys, Grp GRIN Opt, E-15782 Santiago De Compostela, Spain
Chantada, Laura
Fernandez-Pousa, Carlos R.
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机构:Univ Santiago de Compostela, Dept Appl Phys, Grp GRIN Opt, E-15782 Santiago De Compostela, Spain
Fernandez-Pousa, Carlos R.
Gomez-Reino, Carlos
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机构:Univ Santiago de Compostela, Dept Appl Phys, Grp GRIN Opt, E-15782 Santiago De Compostela, Spain