Measurements were performed using an electrophysiological recording system (RetiPort; Roland Consult, Wiesbaden, Germany). Sine wave stimuli were presented using a Ganzfeld bowl (Q450 SC; Roland Consult) with six arrays of differently colored light-emitting diodes (LEDS), one broad-band white (CIE coordinates: x, 0.3715; y, 0.4202) and five-narrow band LED arrays with peak wavelengths 452 (royal blue; bandwidth-at-half-height [bwhh], 18 nm; CIE coordinates: x, 0.1519; y, 0.0381), 469 (blue; bwhh, 22 nm; CIE coordinates: x, 0.1255; y, 0.0926), 523 (green; bwhh, 36 nm; CIE coordinates: x, 0.2016; y, 0.7371), 594 (orange; bwhh, 15 nm; CIE coordinates: x, 0.5753; y, 0.4240), and 638 nm (red; bwhh, 19 nm; CIE coordinates: x, 0.6957; y, 0.2966).
Luminances of the LEDs were set by input voltage. The LEDs were calibrated by measuring the luminance at approximately 4000 voltage values. Data were stored in a look-up table that was used to define the output in real time during a recording. The relationship between LED luminance and voltage was linear. The waveform, mean luminance, Michelson contrast, and modulation phase of each LED array could be set independently. In the main experiment, only the 638-nm and the 523-nm LEDs were activated. Mean luminance of each of the two LED arrays was 100 cd/m
2. The pupils of all subjects were dilated to approximately 8 mm, resulting in a retinal illuminance of approximately 10
4 td. Mean hue was yellow (CIE coordinates:
x, 0.5813;
y, 0.4030). The luminance of the 638-nm and 523-nm LEDs was sinusoidally modulated in counterphase. In each measurement, the fraction of red (638 nm) modulation R/(R+G) was varied between 0 (only the 523-nm LED was modulated; the 638-nm LED was constant at 100 cd/m
2) and 1 (only the 638-nm LED was modulated; the 523-nm LED was constant at 100 cd/m
2) in steps of 0.1, with finer steps of 0.05 between 0.7 and 0.3. The total modulation (R+G) was kept constant in all conditions. A sketch of the stimuli is given in the left plots of
Figure 1. In total, 15 conditions were used. The condition R/(R+G) = 0.5 was measured twice to check for changes in recording conditions. Measurements were repeated at seven temporal frequencies: 4, 8, 12, 16, 20, 24, and 36 Hz. We calculated the stimulus strength for each of the three cone types and for the rods in terms of cone and rod contrast. In brief, cone contrast is quantified by the Michelson contrast of photoreceptor excitation modulation. To calculate the excitation, the emission spectra of the LED arrays were multiplied with their luminance and with the cone and rod fundamentals and were integrated over wavelength.
37,38
Figure 2A shows the photoreceptor contrasts elicited by each of the 15 stimulus conditions. Zero cone or rod contrast means that the stimulus does not modulate the excitation of the particular photoreceptor and thus represents a silent substitution condition. Response phase changes by 180° at this point. Response amplitudes (in arbitrary units) of luminance and red-green chromatic channels are displayed in
Figure 2B. These plots assume that S-cone input to the luminance and the red-green chromatic channels is nonexistent (or negligible) and that the mean luminance of 200 cd/m
2 is too high for substantial rod input.
39–41 For the red-green chromatic channel, it was assumed that the L- and M-cone–driven responses contribute in a counterphase manner and with a ratio of 1 (
Chrom amp =
L −
M 19,23,30,38,42 ;
Chrom amp is the response amplitude of the red-green chromatic channel). The two cone types contribute additively to the responses of the luminance channel (
Lum amp =
aL +
M in which
Lum amp is the response amplitude of the luminance channel). The factor
a varies between different subjects but is generally larger than 1, which is related to the fact that most trichromatic subjects have more L-cones than M-cones.
18,19,43 The factor
a may also depend on the state of adaptation.
23 To calculate the response of the luminance channel, we have not included saturation effects because in electroretinographic measurements, saturation effects were not measurable over a large range of stimulus intensities.
44,45 The temporal frequencies of chromaticity and luminance modulation are identical.