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Taking a Random Walk with a Photon

Taking a Random Walk with a Photon. Suprit Singh Under the Supervision of Prof. Ranjeev Misra. Some Jargon. Specific Intensity, Radiative Flux Optical Depth Absorption and Emission Equation of Transfer Source Function. Specific Intensity, Radiative Flux Optical Depth

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Taking a Random Walk with a Photon

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  1. Taking a Random Walk with a Photon Suprit Singh Under the Supervision of Prof. RanjeevMisra

  2. Some Jargon • Specific Intensity, Radiative Flux • Optical Depth • Absorption and Emission • Equation of Transfer • Source Function

  3. Specific Intensity, Radiative Flux • Optical Depth • Absorption and Emission • Equation of Transfer • Source Function

  4. Plane Parallel Isotropic Scattering • Illuminating : Slab is illuminated from below. That is, we need to inject Photons from the origin such that FLUX is ISOTROPIC. For this sample the angles s.t. • Where the specific intensity is independent of direction and lower limit is 0 since we are injecting photons in only upward direction. This then gives,

  5. Plane Parallel Isotropic Scattering • In the Slab : Max Height of Slab is Zmax and we can parameterize the slab by Vertical optical depth • Then the distance , L travelled by a ray is

  6. Plane Parallel Isotropic Scattering • I have travelled L, now what ??? : • Binning Photons : Once a photon exits the slab, we need to place them in to mu bins in the range [0,1] as we are interested in Emergent radiation.

  7. Plane Parallel Isotropic Scattering • Norming the Intensity :

  8. Plane Parallel Isotropic Scattering • The Simulation Parameters : nphotons= 1000000; mubins= 10; taumax = 10;

  9. Thanks

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