Advertisement

Radiation pressure calculator

Find normal radiation pressure on absorbing or reflecting surfaces, or isotropic blackbody radiation pressure, with inverse solve modes.

Calculator

Radiation pressure
0.00000454

Advertisement

How this calculator works

Directed light carries momentum. For a flat surface, the projected intercepted beam and the normal momentum component each contribute a cosine, giving cos squared for normal pressure. A perfect specular reflector doubles the normal momentum transfer. An absorbing tilted surface also receives tangential momentum; that component is not included here. Isotropic cavity radiation is a different geometry: pressure is one third of energy density. The thermal mode describes a radiation field at equilibrium, not a freely radiating surface.

Formula

P_normal = q L cos^2(theta)/(4 pi d^2 c), with q = 1 for absorption and 2 for reflection. P_thermal = u/3 = 4 sigma T^4/(3c).

Worked example

A normally incident flux of 299792458 W/m2 gives 1 Pa on an absorber and 2 Pa on a perfect reflector. At 60 degrees these normal pressures are one quarter as large.

Advertisement

Frequently asked questions

Which angle should I enter?

The angle between the incoming ray and the surface normal, from zero to 90 degrees.

Does reflection always double the pressure?

Only for an ideal specular reflector compared with a perfect absorber at the same incidence angle.

Can I use the thermal result for sunlight?

Sunlight is a directed beam. The isotropic thermal expression applies to an equilibrium radiation field.

Sources

Advertisement