Optimal Diffractive Focusing of Quantum Waves

• URL: http://arxiv.org/abs/2406.13545v1
• Date: Wed, 19 Jun 2024 13:30:51 GMT
• Title: Optimal Diffractive Focusing of Quantum Waves
• Authors: Maxim A. Efremov, Felix Hufnagel, Hugo Larocque, Wolfgang P. Schleich, Ebrahim Karimi,
• Abstract summary: We derive the optimal, real-valued wave function for focusing in one and two space dimensions without the use of any phase component. We experimentally demonstrate these focusing properties on optical beams using both reflective and transmissive liquid crystal devices.
• Score: 0.09118034517251884
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Following the familiar analogy between the optical paraxial wave equation and the Schr\"odinger equation, we derive the optimal, real-valued wave function for focusing in one and two space dimensions without the use of any phase component. We compare and contrast the focusing parameters of the optimal waves with those of other diffractive focusing approaches, such as Fresnel zones. Moreover, we experimentally demonstrate these focusing properties on optical beams using both reflective and transmissive liquid crystal devices. Our results provide an alternative direction for focusing waves where phase elements are challenging to implement, such as for X-rays, THz radiation, and electron beams.

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