Cryogenic radiometer Created 2026-10-14 Updated 2026-10-14
A cryogenic radiometer uses low-temperature operation to improve electrical substitution radiometry through particular material and thermal properties. Lower heat capacity of a copper receiver permits a substantial cavity without proportionately slow relaxation; cold shields reduce unwanted thermal radiation, and heater leads with superconductivity can suppress resistive lead heating. These features do not make radiometric absorptance exactly one or abolish optical-electrical heating non-equivalence.[ref]
Spectroradiometric Detector Measurements: Ultraviolet, Visible, and Near-Infrared Detectors for Spectral Power by Thomas C. Larason and others. §5.2, printed pp. 30–32: cryogenic advantages and remaining window/non-equivalence corrections
Cold surroundings matter as much as a cold receiver. In a simplified gray-surface model, net outward thermal radiation is , using emissivity , area , shield temperature and the Stefan-Boltzmann constant . Cold shields reduce the incoming term as well as the receiver's emission; cooling the receiver alone while leaving it exposed to warm surroundings does not remove incoming radiation. An entrance window still provides an optical and thermal path. Vacuum reduces gas-mediated heat transfer, while an intentional radiometer thermal link remains necessary. This model explains specific losses, rather than promising a universal improvement factor or perfect accuracy.
Electrical substitution radiometer Created 2026-10-14 Updated 2026-10-14
An electrical substitution radiometer measures radiant flux by replacing absorbed optical power with calibrated Joule heating. At fixed temperature, feedback control holds the receiver equally warm with the beam blocked or admitted: after corrections, absorbed optical power equals the reduction in supplied electrical heating. Incident radiant flux additionally requires radiometric absorptance and entrance-path corrections. This connects radiometry to electrical standards.[ref]
Spectroradiometric Detector Measurements: Ultraviolet, Visible, and Near-Infrared Detectors for Spectral Power by Thomas C. Larason and others. §5.2, printed p. 30: electrical substitution and electrical standards
Picture a small absorbing cavity connected to a colder reference block by a radiometer thermal link. A heater supplies Joule heating, a thermometer senses the receiver, and feedback control adjusts the heater. When light supplies some of the heating, the controller supplies less. The readout is the change in heater power, rather than the beam's brightness or its number of photons. NIST's institutional description gives a concrete receiver with a conical interior, absorbing coating and weak Kapton support, operated with a receiver heater and thermometer.[ref]
Pico-Watt ACR by National Institute of Standards and Technology. Description, Design Parameters for Improved ACR Sensitivity; Key Design Features: conical receiver, coating, constant-temperature loop and thin-walled Kapton link
Cavity, radiometer thermal link and heater readout in an electrical substitution radiometer
. Original functional schematic, not a drawing of a particular laboratory instrument. The shutter defines dark and illuminated states; incident radiant flux is specified at the receiver entrance. The cavity absorbs a fraction , while the remainder escapes. The reference block and receiver have distinct controlled temperatures. The thermometer signal drives feedback control, and heater voltage and electric current provide the electrical power readout. Lead heating, stray radiation and spatial heating differences require separate checks. Details. Radiometer thermal link 2026-10-14
A radiometer thermal link is the intentional path for thermal conduction from receiver to reference block. Near a chosen operating point, write with local conductance in . A weaker link increases the steady temperature rise per added power, , but also increases the uncontrolled relaxation time when the link dominates other heat transfer. These are local linear approximations: actual thermal conductivity depends on temperature, and active feedback control introduces its own response. NIST explicitly describes the tradeoff between weaker links and smaller receiver heat capacity.[ref]
Pico-Watt ACR by National Institute of Standards and Technology. Key Design Features, final paragraph: response time proportional to receiver heat capacity and inverse thermal conductance
