If you have no need in massive calculations of blackbody radiation characteristics but you'd like to promptly obtain results for only several needful tasks, probably, there is no reason to purchase our special blackbody emissivity modeling software. You can save your time and money by ordering calculations. Virial International will perform calculations for you; you'll recieve all results in form of text and MS Excel files, including all graphical dependences and evaluation of calculation uncertainties.

All you need is to send us initial data necessary for calculations:
Geometry of the blackbody (simple drawing with all dimensions is desirable)
Description for materials of blackbody cavity walls  (spectral reflectances and angular dependences for reflection). If your information about optical characteristics for cavity wall materials is deficient or absent at all, we can help you to find missing data in literature.
Themperature distribution(s) (if any; otherwise, at least expected temperature nonuniformity might be necessary for the uncertainty evaluation); presence or absense of background radiation
Geometrical conditions of blackbody radiation registration (F-number of optical system and the the focal point position for your radiometer or radiation thermometer)
Relative spectral responsivity of the radiometer or radiation thermometer employed (if you need to compute the bandlimited effective emissivities and radiance temperature
Usually, calculations for one variant costs from $100 to $300 depending on the complexity of your task, primarily, from the reflection model which we shall choose on the base of optical properties data you provided. We'll perform calculations and, after payment per our Invoice, we'll send you all results by email. Preliminary appraisal is free of charge. Contact us to place your order.
Radiative heat transfer
Optical, radiometric, photometric, and pyrometric devices and systems
Optical properties of materials
Optical scattering
Diffraction correction for radiometric measurements
Integrating spheres, optical reflectometers, and gonioreflectometers
Sources and detectors of optical radiation
Steady-state and transient thermal modeling
Inverse and ill-posed problems; signals and image recovering
Local and global multidimensional optimization; fitting model's parameters to experimental data
Data processing and uncertainty evaluation for optical, radiometric, pyrometric, photometric, and remote sensing measurements
Virial International offers customization of existing software according to your specifications and/or development of new algorithms and software exclusively for you. We have extensive and constantly growing reserve of theoretical developments, algorithms, and codes that were not implemented into commercial-grade software (e.g., fitting complicated BRDF models to experimental data; Monte Carlo calculation of viewing factors for non-Lambertian surfaces; reflectance modeling for a scattering layer on an opaque substrate; diffration losses for radiometric systems with axial symmetry, polarization ray tracing, Monte Carlo modeling of effective emissivity for a periodically grooved surface of arbitrary profile, prizmatic, and wedge-shaped blackbodies, etc.) We can develop such a software for you quickly. Email us at orders@virial.com to discuss your requirements and conditions.

Our area of expertise includes (but is not limited by):
Our company has outstanding experience in numerical modeling of steady-state and transient thermal processes in radiometric measurement devices and their elements using the state-of-the-art commercial finite-element analysis software as well as proprietary algorithms and programs. We are experienced in numerical modeling of temperature distributions in blackbody cavities, thermal detectors of optical radiation, various types of measuring devices for emissivity and reflectance, laser beam traps, targets, thermal insulation layers, etc.  

We can model 1D, 2D (including shells), and 3D temperature and heat flux fields taking into account heat conduction, convection, and radiation heat transfer.
The finite element model and steady-state temperature distributions for a cryogenic radiometer heated by laser radiation and two types of electric heater.
A finite element model for a fragment of the thermal radiator with concentric V-grooves.
Heating up the blackbody to the operational temperature of about 1000 K. Average radiator temperature and heat losses through structiral components shown as a function of heating time.
Relative distribution of radiance across the exit port of the integrated sphere uniform radiation source (adopted from: A.V. Prokhorov and L. M. Hanssen, "Numerical Modeling of an Integrating Sphere Radiation Source," Proc. SPIE 4775, 106-118 (2002)).
Cylindrical projection of the hemispherical relative distribution of the radiance incident onto the sample center in the integrating sphere reflectometer for Vis and NIR spectral range (adopted from: A. V. Prokhorov, S. N. Mekhontsev, and L. M. Hanssen, "Monte Carlo Modeling of an Integrating Sphere Reflectometer," Appl. Opt. 42, 3832-3842 (2003)).
Cylindrical mapping of the ray tracing within an integrating sphere IR reflectometer performed for optimization of mutual positions and orientations of internal baffles (adopted from: L. M. Hanssen, A. V. Prokhorov and V. Khromchenko, "Specular baffle for improved infrared integrating sphere performance," Proc. SPIE 5192, 101-110 (2003)).
Development of proprietary algorithms and software for the Monte Carlo modeling of integrating spheres for various applications (uniform radiation sources, radiant and luminous flux meters, reflectometers, etc.) is the top-priority goal for Virial International at present. Since the early 2000ths, we accumulated an extensive experience in the Monte Carlo modeling of integrating sphere with Lambertian or specular-diffuse internal surface. Currently, we finalizing the development of data-driven BRDF model for near-Lambertian surfaces such as Magnesium oxide, Barium sulfate, pressed and sintered PTFE, Spectralon®, Infragold®, and other materials and coating used in integrating sphere manufacturing.
Our objective is to create all-purpose integrating sphere modeling software. This will require a time. However, you, probably, need in modeling of the certain special configuration which we can model right now. Contact us to discuss details. Virial International is open for collaboration in this area.
If you need to decide which radiometric equipment is suitable for your project
If you'd like to find a way to amend metrological characteristics of your radiometric system
If you need assistance in your data processing and visualization
If you wish to evaluate the uncertainties of your measurements
Even if your problem looks too sophisticated to be resolved whatever, we probably know how to solve it.
System analysis, concept design, and computer modeling are unique skills that can be brought to bear by Virial International on your problem when necessary. So, if your problem involves radiometric equipment or measurements and you need help with your project, please contact us today!
Virial International offers scientific and engineering consulting services in the areas of radiometry, photometry, radiation thermometry (pyrometry), optical instrumentation and radiation heat transfer. Our services include computer modeling, performance assessment, design optimization, and uncertainty analysis. We are experienced in optical radiation sources, detectors and radiometers from UV to far IR, radiation thermometers (pyrometers), various types of reflectometers, emissometers and scatterometers.
The founder of the company, Dr. Alexander Prokhorov, has been involved in optical radiometry measurements and analysis since early 1980ths. Dr. Prokhorov has worked closely with VNIIOFI (Russia), NIST, NASA, and SDL (USA), NPL and Durham University (UK), PMOD/WRC (Switzerland) and other world-class organization. His outstanding experience helps Virial to satisfy customers needs. Please contact us: