Quantum-statistical analysis of multimode far-infrared and submillimeter-wave astronomical interferometers

Area of Science:

• Astronomy
• Quantum Optics
• Astrophysical Instrumentation

Background:

• Far-infrared and submillimeter-wave interferometry are crucial for astronomical observations.
• Understanding quantum effects in these instruments is vital for precise measurements.
• Existing models may not fully capture the quantum-statistical nature of the observed fields.

Purpose of the Study:

• To develop a comprehensive quantum-statistical model for multimode astronomical interferometers.
• To explicitly identify and trace optical modes throughout the interferometer system.
• To provide a framework for analyzing quantum field properties from source to detector.

Main Methods:

• Formulating a quantum-statistical model based on optical modes.
• Tracing quantum field properties through telescopes, beam combiners, and detectors.
• Deriving expressions for photon detection rates and their fluctuations.

Main Results:

• Elegant expressions for average photon detection rates in imaging arrays.
• Formulas for mean-square fluctuations in photon detection rates.
• Methods to calculate correlations between fluctuations in different detector pixels.

Conclusions:

• The presented model accurately describes quantum-statistical properties in astronomical interferometers.
• The scheme is versatile and applicable to various optical configurations.
• The model facilitates advanced analysis of photon statistics and correlations for astrophysical studies.