How Long to Read Radiative Transfer on Mesoscopic Spatial Scales

By Adam Ronald Gardner

How Long Does it Take to Read Radiative Transfer on Mesoscopic Spatial Scales?

It takes the average reader 2 hours and 53 minutes to read Radiative Transfer on Mesoscopic Spatial Scales by Adam Ronald Gardner

Assuming a reading speed of 250 words per minute. Learn more

Description

Accurate predictions of light transport produced by illumination of turbid media such as biological tissues, cloudy atmospheres, terrestrial surfaces, and soft matter is essential in many applications including remote sensing, functional optical imaging, realistic image synthesis, and materials characterization. The inability to model light transport on mesoscopic scales limits the spatial resolution and information content that can be extracted from optical measurements. While effective approaches exist to model light transport in singly- and diffusely-scattering regimes, modeling light propagation over the mesoscopic spatial scales remains an important challenge. Radiative transfer on these scales must account for the complete 5-dimensional spatial and angular distributions of the radiant field. Here, we present novel stochastic and analytic methods to analyze and predict light propagation in turbid media generated by collimated illumination on mesoscopic scales. We also consider coupled transport problems, resulting from illumination and detection, to facilitate measurement design and inverse problems. Specifically, we introduce a coupled Forward-Adjoint Monte Carlo (cFAMC) method that leverages generalized optical reciprocity to enable the computation of spatially-resolved distributions of light interrogation for specific source-detector pairs. cFAMC can aid the design of optical diagnostic measurements by tailoring the light field to interrogate specific sub-volumes of interest. We use cFAMC to examine the effects of angular resolution on the resulting interrogation distributions and analyze a diagnostically-relevant compact fiber probe design for the detection of epithelial precancer. While Monte Carlo simulation is considered a gold standard method to solve the equation of radiative transfer (ERT), it is computationally expensive. Thus, methods to obtain ERT solutions at lower computational cost are valuable. We introduce a general analytical framework to solve the ERT which employs the complete Spherical Harmonic Expansion to order N and utilizes Fourier decomposition (SHEFn) of the transverse spatial variables. We provide an exhaustive analytical analysis to develop a rapid and robust computational framework. We also introduce a sequential order smoothing method to improve accuracy, particularly for low-order approximations. The SHEFnpredictions are verified using Monte Carlo simulations for oblique Gaussian beam illumination of a turbid half-space. We also extend SHEFn for cases of stratified media and adjoint radiative transfer.

How long is Radiative Transfer on Mesoscopic Spatial Scales?

Radiative Transfer on Mesoscopic Spatial Scales by Adam Ronald Gardner is 168 pages long, and a total of 43,344 words.

This makes it 57% the length of the average book. It also has 53% more words than the average book.

How Long Does it Take to Read Radiative Transfer on Mesoscopic Spatial Scales Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 56 minutes to read Radiative Transfer on Mesoscopic Spatial Scales aloud.

What Reading Level is Radiative Transfer on Mesoscopic Spatial Scales?

Radiative Transfer on Mesoscopic Spatial Scales is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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