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where y test (λ) is the detector signal of the<br />

spectroradiometer for the test lamp at wavelength λ, and<br />

y ref (λ) is that for the introduced flux at wavelength λ.<br />

k cor (λ) is a correction factor for spatial nonuniformity of<br />

the integrating sphere system and the ratio of diffuse<br />

reflectance of the sphere coating at 0° and 45° incidence.<br />

Similar to the case with the goniospectroradiometric<br />

method, the measurement can be done for relative total<br />

spectral radiant flux, with the absolute scale determined by<br />

the luminous flux unit.<br />

Instrumentation<br />

The mechanical design of the goniospectroradiometer<br />

developed at NIST is shown in Fig. 1. The detector arm<br />

and lamp holder are rotated by servo motors, and the actual<br />

angles are measured by rotary encoders. Measurements are<br />

taken, typically at 5° or 10° intervals, and the motor stops<br />

during measurement. The arm holding the lamp holder can<br />

also be rotated to change the burning position of the lamp.<br />

The spectral irradiance of the test lamp is measured with<br />

an array spectroradiometer employing a fiber optic input.<br />

The fiber bundle is connected to the spectroradiometer<br />

through a rotation coupler, which allows free rotation of<br />

the arm without twisting the fiber. The constancy of the<br />

spectral transmittance of the coupler was tested with a<br />

white LED mounted on the irradiance head. The variations<br />

in measured spectra depending on the arm angle was found<br />

to be less than 2 %, and is corrected in actual<br />

measurements. From the rotation coupler to the irradiance<br />

measuring head, a fiber bundle of 8 mm diameter is used.<br />

The fiber bundle on the spectroradiometer side is 5 mm<br />

diameter.<br />

The array spectroradiometer covering the UV and visible<br />

region is calibrated by a spectral irradiance standard lamp<br />

(1000 W FEL type quartz halogen lamp) traceable to the<br />

NIST spectral irradiance scale [7]. The stray light of the<br />

array spectrometer has been corrected (Zong, 2005). For<br />

the consistency with the total luminous flux unit, the total<br />

spectral radiant flux scale has been realized using Eqs.<br />

Servo<br />

motor<br />

Stepping<br />

motor<br />

Irradiance<br />

head<br />

1.25 m<br />

φ<br />

Light<br />

trap<br />

Encoder<br />

Laser<br />

Servo<br />

motor<br />

Fiber<br />

bundle<br />

Figure 1. Construction of the NIST<br />

goniospectroradiometer.<br />

θ<br />

Spectroradiometer<br />

Rotation<br />

coupling<br />

Figure 2. NIST 2.5 m integrating sphere configured<br />

for the total spectral radiant flux measurement.<br />

(3)-(5). The uncertainty budget is to be reported at<br />

presentation and the full paper.<br />

Figure 2 shows the arrangement of the NIST 2.5 m sphere<br />

configured for total spectral radiant flux measurement.<br />

The sphere is equipped with a high-sensitivity<br />

spectroradiometer employing a back-lit CCD array. The<br />

external source is a 1000 W FEL type quartz halogen lamp<br />

calibrated for spectral irradiance. The aperture is 50 mm in<br />

diameter. The spectroradiometer is an array<br />

spectroradiometer, which is corrected for stray light (Zong,<br />

2005). Linearity of the spectroradiometer has also been<br />

determined and corrected. The integrating sphere response<br />

has been mapped spectrally by rotating a beam scanner.<br />

Angular correction factor for the coating has also been<br />

measured spectrally. An experimental realization of total<br />

spectral radiant flux scale in the near UV region (360 nm –<br />

450 nm) has been successfully made at NIST using the 2.5<br />

m integrating sphere to calibrate the total radiant flux of<br />

deep blue and UV LEDs (Zong, 2004). Work is underway<br />

to realize the scale in the full visible region.<br />

Conclusion<br />

The total spectral radiant flux scale has been established at<br />

NIST using a goniospectroradiometer for the 360 nm to<br />

800 nm region. The AIS method, now under development,<br />

will enable realization of the scale with much simpler<br />

instrumentation and fast measurements.<br />

References<br />

Goodman T. M., et al, The Establishment of a New National<br />

Scale of Spectral Total Flux, Proc., 22 nd Session of CIE,<br />

Melbourne 1991, Vol. 1, Part 1, 50-53 (1991).<br />

CORM 7 th Report 2001–Pressing Problems and Projected<br />

National Needs in Optical Radiation Measurements, December<br />

2001.<br />

Ohno Y., Realization of NIST 1995 Luminous Flux Scale using<br />

Integrating Sphere Method, J. IES, 25-1, 13-22 (1996).<br />

Zong, Y., et al, A Simple Stray-light Correction Matrix for Array<br />

Spectrometers, to be presented at NEWRAD 2005<br />

Zong, Y., Miller, C.C., Lykke, K., Ohno, Y., Measurement of<br />

Total Radiant Flux of UV LEDs, Proceeding of the CIE Expert<br />

Symposium on LED Light Sources, June 2004, Tokyo,<br />

107-110 (2004)<br />

338

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