We immerse a two-dimensional physical wave-propagation experiment in a virtual (simulated) environment in real time. This enables broadband hybrid wave experimentation in physical media that may be governed by unknown physics, embedded seamlessly within virtual media with either modeled or measured physics. Using the theory of immersive boundary conditions and a recently presented control system [Becker et al., Immersive Wave Propagation Experimentation: Physical Implementation and One-Dimensional Acoustic Results, Phys. Rev. X 8, 031011 (2018)], we convert a circular two-dimensional acoustic waveguide into a larger physicovirtual square waveguide. Real-time wave-field extrapolation allows waves to propagate seamlessly between physical and virtual media, producing correct wave-field interactions between them, including nonlinear effects. We show that the laboratory can physically measure the response of nonphysical energy-gain materials in real time. The physicovirtual laboratory thus allows previously inaccessible wave phenomena to be investigated experimentally and constitutes an alternative approach for wave-physics investigations by connecting experimental and numerical approaches.

中文翻译：

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虚拟波物理领域中物理实验的实时浸入

我们将二维物理波传播实验实时地浸入到虚拟（模拟）环境中。这可以在可能受未知物理控制的物理介质中进行宽带混合波实验，并通过建模或测量物理无缝地嵌入虚拟介质中。使用沉浸式边界条件理论和最近提出的控制系统[Becker等。，沉浸波传播实验：物理实现和一维声学结果，物理。X 8版，031011（2018）]，我们将圆形二维声波导管转换成更大的物理虚拟方波导管。实时波场外推允许波在物理和虚拟介质之间无缝传播，从而在它们之间产生正确的波场相互作用，包括非线性效应。我们表明实验室可以物理地实时测量非物理能量获取材料的响应。因此，物理病毒实验室允许通过实验研究以前无法接近的波浪现象，并通过将实验和数值方法相结合，构成了波浪物理研究的另一种方法。