Estimating irradiance on a square planar surface

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SUMMARY

This discussion focuses on estimating irradiance on a square planar surface (Ad) from a Lambertian emitter (Ae) with an area of 4 mm² and total power of 1 mW. The emitter is positioned in the yz plane, while the receiving surface is in the xy plane, tilted at 20 degrees and located 10 cm away. The participants explore the calculation of irradiance at Ad and consider the implications of using a Lambertian point source instead of a planar surface for simplification.

PREREQUISITES
  • Understanding of Lambertian emission principles
  • Knowledge of geometric optics and surface orientation
  • Familiarity with irradiance calculations
  • Basic proficiency in trigonometry for angle adjustments
NEXT STEPS
  • Research Lambertian emitter characteristics and their impact on irradiance
  • Study the mathematical models for calculating irradiance on tilted surfaces
  • Learn about point source irradiance calculations and their differences from planar sources
  • Explore software tools for simulating light distribution and irradiance (e.g., Radiance or LightTools)
USEFUL FOR

This discussion is beneficial for optical engineers, physicists, and anyone involved in photometry or light measurement applications, particularly those working with Lambertian sources and surface irradiance calculations.

vst98
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Hi, I have a simple problem.

A Lambertian emitter has the shape of a square planar surface, with area Ae=4mm2,
total power P=1mW, and is located in yz plane.
Another square planar surface, with area Ad=6mm2, is located in the
xy plane, at a distance d=10cm to the Ae, and is tilted 20 Degrees toward the Ae
(see attached picture).

How do I go about to compute or estimate irradiance at Ad ?
 

Attachments

  • irradiance.png
    irradiance.png
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Is there really is no one who can answer or give advice on this problem ?
What if instead of Ad I would have a Lambertian point source with the same power,
would this make it easier to give an estimate of irradiance on Ae surface ?
 

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