Abstract
We find the exact solution of the (1 + 1)-dimensional optical paraxial diffractive system by implementing the self-similarity method, leading to the discovery of a beam solution composed of Scorer functions, which we refer to as the Scorer beam. Through theoretical analysis and numerical simulation, we explore several characteristics of both infinite- and finite-energy Scorer beams, particularly focusing on their non-diffractive and self-accelerating properties. Additionally, we compare the Scorer beam with – and distinguish from – the related Airy beam. This investigation provides both theoretical and numerical insights that may guide the experimental realization of Scorer beams.
| Original language | English |
|---|---|
| Article number | 130023 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 528 |
| DOIs | |
| Publication status | Published - 28 Dec 2024 |
| Externally published | Yes |
Keywords
- Non-diffractive scorer beam
- The (1+1)-dimensional paraxial diffractive system
- The self-similarity method
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