Physic Labs

Optics

Rectilinear propagation and reflection

Verify the law of reflection: the angle of reflection equals the angle of incidence measured from the normal. Drag the incidence-angle slider on the 3D flat-mirror model, read the angles in the readout, and observe the virtual image symmetric about the mirror.

Middle school

⚠ In a real experiment with a laser or bright source, never look into the beam or its reflection.

Equipment

  • Flat mirror and virtual light source on a 3D canvas
  • Incidence-angle slider (readout in degrees)
  • Refractive-index and focal-length sliders for the second ray diagram
  • Normal drawn at the incidence point; angle and critical-angle readout

Procedure

  1. Verify incidence equals reflection

    In figure 1, sweep the incidence slider through 15°, 30°, 45°, 60°: the reflected ray always leaves at the same angle on the other side of the normal — read the two equal angles in the readout.

  2. Observe the mirror image

    Change the viewing angle by dragging the canvas: the virtual image of the source always sits symmetric behind the mirror at the same distance — every reflected ray's backward extension passes through it. This is how a flat mirror forms a same-size image.

  3. Change conditions and predict rays

    In figure 2, raise the refractive index below: for rays going from high to low index, read the 'critical angle' in the readout — beyond it the ray reflects totally instead of refracting. Set the incidence just below and just above to compare.

Simulation

Experiment history

The law of reflection — incidence equals reflection — was described in Hero of Alexandria's Catoptrics (1st century CE), who linked it to a shortest-path principle; Ptolemy measured refraction angles experimentally and Ibn al-Haytham systematized optics in his Kitāb al-Manāẓir (11th century). Euclid had earlier stated the rectilinear propagation of light in a uniform medium. Today both laws follow from Fermat's principle of extremal travel time, and the first reflection tables became the basis for Newton's reflecting telescope and modern optics.

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