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In this report the following inverse problem is considered: How can the order of an optical implementation of the Fractional Fourier Transform (FRT) be remotely measured? We present a scheme for the unambiguous estimation of the order based on the use of an element with a suitable transmittance function. The transmittance function is chosen by making use of the concepts of a ruler state and the propensity function. Calculations based on the use of a Gaussian input wavefunction are presented to clarify the method. In the examples some practical issues are highlighted and the order of FRT systems is estimated numerically.

Additional information

Authors: SHERIDAN J T, JRC Ispra (IT);COUTSOMITROS C T, JRC Ispra (IT);LUCIA A, JRC Ispra (IT);ABE S, Nihon University, College of Science and Technology, Tokyo (JP)
Bibliographic Reference: EUR 16439 EN (1996) 30pp., FS
Availability: Available from the Public Relations and Publications Unit, JRC Ispra, I-21020 Ispra (IT), Fax: +39-332-785818
Record Number: 199611436 / Last updated on: 1996-12-16
Original language: en
Available languages: en