Okay, I tried this with a HORIZONTAL mirror, but the reflection is
incorrect, not reflected by the horizontal mirror, and seems reflected by a
vertical ones. And another question, why the light turns stranger even
though I put the extinction to 0.5.

global_settings {
    assumed_gamma 1
    max_trace_level 5
    photons {
        count 150000
        max_trace_level 9
        media 100, 2
    }
}

background { color <0.000,0.000,0.000> }

camera {
         location <0,3,-10>
         angle 120
         up 1*y
         right 1.333*x
         look_at <0,3,0>
         translate <0,0,0>
         }

light_source {   // Spotlight Spotlight001
  <20.0, 10, 0.0>
  color rgb <1.000, 0.000, 0.000>*20
  cylinder
    point_at  <-20, -10, 0.000>
    falloff    0.268  // outer radius (in deg)
    radius     0.238  // inner radius
    tightness  0.000
  media_attenuation on
  photons {refraction on reflection on}
  }

light_source {   // Light001
  <0.0, 0.0, 0.0>
  color rgb <1.000, 1.000, 1.000>
  media_interaction off
  }

background { color <0,0,0> }

//
// ********  OBJECTS  *******
//

box { // Cube001
  <-1, -1, -1>, <1, 1, 1>
  pigment {
      color rgbft <0, 0, 0, 1, 1>
   }

   interior {
      media {
         method 3
         intervals 1
         ratio 1
         scattering {
            1, rgb <1, 1, 1>
            extinction 0.5
         }
      }
   }
   scale 20
   hollow
}


plane {
  y,2
  finish {
    reflection {1.0}
    ambient 0
    diffuse 0
  }
  photons {
         target
         refraction on
         reflection on
         collect off
      }

}

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