Abstract
The de Broglie-Bohm theory is one of the nonstandard interpretations of quantum phenomena that focuses on reintroducing definite positions of particles, in contrast to the indeterminism of the Copenhagen interpretation. In spite of intense debate on its measurement and nonlocality, the de Broglie-Bohm theory based on the reformulation of the Schrödinger equation allows for the description of quantum phenomena as deterministic trajectories embodied in the modified Hamilton-Jacobi mechanics. Here, we apply the Bohmian reformulation to Maxwell's equations to achieve the independent manipulation of optical phase evolution and energy confinement. After establishing the deterministic design method based on the Bohmian approach, we investigate the condition of optical materials enabling scattering-free light with bounded or random phase evolutions. We also demonstrate a unique form of optical confinement and annihilation that preserves the phase information of incident light. Our separate tailoring of wave information extends the notion and range of artificial materials.
Highlights
The de Broglie–Bohm theory [1], called Bohmian mechanics, suggests an alternative interpretation of quantum mechanics for the description of individual events in statistical quantum phenomena
The heart of the Bohmian formulation is in the application of the polar-form wave function ψ 1⁄4 ReiðS=ħÞ to the Schrödinger equation iħ∂tψ 1⁄4 −ðħ2=2mÞ∇2ψ þ Vψ to separate the real and imaginary parts of this complex-valued equation [3]
In this Letter, we show that the Bohmian formulation of Maxwell’s wave equation provides a new perspective on optical materials for the independent tailoring of amplitude and phase information of light, which has not been reported so far
Summary
The de Broglie–Bohm theory [1], called Bohmian mechanics, suggests an alternative interpretation of quantum mechanics for the description of individual events in statistical quantum phenomena. As a first example, we realize a quantum-mechanically-free potential [3] in an optical platform, to derive a new class of constant-intensity waves [12,13] that have freely designed phase distributions with phase trapping or randomization functions.
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