Closed-form expressions for digital-holographic detection in a laboratory setting

摘要

Digital-holographic detection provides a distinct way forward to combat the low signal-to-noise ratios (SNRs) associatedwith tactical applications. With that said, past efforts studied the major digital-holographic recording geometries used withtactical applications and derived closed-form expressions for their SNRs. They also used wave-optics simulations tovalidate the use of these closed-form expressions and found that for real-world scenarios, where we interfere acomparatively weak-signal beam with a strong-reference beam, the associated “weak-strong” expressions are accurate.For a laboratory setting, however, we often set the signal and reference beams to be nearly equal in power. As such, in thispaper we derive closed-form expressions for this specific use case. We also use wave-optics simulations to explore theaccuracy of these “equal-power” expressions. Overall, the results show that the equal-power expressions are accurate.