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Principles of Fluorescence Spectroscopy

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PRINCIPLES OF FLUORESCENCE SPECTROSCOPY 115<br />

Figure 4.22. Constant fraction discrimination in TCSPC. Top: Timing<br />

error due to pulse height variations using leading edge discrimination.<br />

Bottom: Operation <strong>of</strong> a constant fraction discriminator.<br />

4.5.2. Amplifiers<br />

Amplifiers can be used after the start and stop detectors in<br />

order to obtain adequate signal levels for timing. The present<br />

trend is to avoid such amplifiers, 65 which can result in<br />

additional difficulties. In general, the most noise-free<br />

amplification can be obtained within the detector (PMT or<br />

photodiode). The cable connecting the detector and amplifier<br />

can act as an antenna, resulting in amplification <strong>of</strong> the<br />

RF noise. The use <strong>of</strong> amplifiers was necessary when MCP<br />

PMTs first appeared because the pulses were too short for<br />

the CFDs available at that time. Amplifiers were used to<br />

broaden the pulses sent to the CFD. 40 This is no longer necessary<br />

with newer CFDs. If amplifiers must be used, they<br />

should be positioned as close as possible to the detector.<br />

4.5.3. Time-to-Amplitude Converter (TAC) and<br />

Analyte-to-Digital Converter (ADC)<br />

The role <strong>of</strong> the TAC in Figure 4.8 is to generate a voltage<br />

proportional to the time between the excitation pulse and<br />

the first arriving emitted photon, which are the start and<br />

stop pulses, respectively. This is accomplished by charging<br />

a capacitor during the time interval between the pulses.<br />

Typically the capacitor is charged from 0 to 10 volts over a<br />

nanosecond to microsecond time range. For instance, if the<br />

chosen range is 50 ns, the capacitor is fully charged at 50<br />

ns. If a stop pulse is received at 25 ns, the charging is<br />

stopped at 5 volts. The voltages are calibrated to time delays<br />

using delay lines or optical pulses with known time separation.<br />

If a stop pulse is not received, the TAC is reset to zero.<br />

After the start and stop pulses are received the voltage is<br />

connected to a digital value by the ADC. This method <strong>of</strong><br />

measuring time delays is indirect but provides higher time<br />

resolution. At present, inert measurements <strong>of</strong> time delays<br />

cannot be performed accurately enough for nanosecond<br />

timescale delays.<br />

In general, the TAC is a rate-limiting component in<br />

TCSPC. A certain amount <strong>of</strong> time is needed to discharge the<br />

capacitor and reset the TAC. Prior to about the year 2000,<br />

the reset time for most TACs was about 2 ms. This was not<br />

a problem with flashlamps where a 50-kHz rate results in<br />

start pulses every 20 µs. However, with a high-repetitionrate<br />

laser source at 1 MHz, the TAC will be overloaded due<br />

to continuous start pulses. The TAC will be instructed to<br />

reset before it has completed the previous reset.<br />

The solution to this problem is relatively simple, which<br />

is to operate the TAC in reverse mode. 68–70 In this mode <strong>of</strong><br />

operation the first photon detected from the sample serves<br />

as the start pulse, and the signal from the excitation pulse is<br />

the stop signal. In this way the TAC is only activated if the<br />

emitted photon is detected. The decay curves can appear<br />

reversed on the screen <strong>of</strong> the multichannel analyzer (MCA),<br />

but this is corrected by s<strong>of</strong>tware. The reverse mode <strong>of</strong> TAC<br />

operation is not needed with flashlamps because <strong>of</strong> their<br />

lower repetition rates.<br />

The reset time <strong>of</strong> a TAC is also called the dead time. A<br />

TAC with a 2-:s dead time has a saturated count rate <strong>of</strong> 0.5<br />

MHz. Photons arriving within the dead time cannot be<br />

counted, so the counting efficiency drops. The photon count<br />

rate for 50% counting efficiency is sometimes called the<br />

maximum useful count rate, which for a 2-:s dead time is<br />

250 kHz. Modern TCSPC electronics have dead times near<br />

125 ns and a saturated count rate <strong>of</strong> 8 MHz. These electronics<br />

can efficiently process and count photons at MHz rates.<br />

An important characteristic <strong>of</strong> a TAC is its linearity. If<br />

the voltage is not linear with time, then the data will contain<br />

systematic errors, resulting in difficulties with data analysis.<br />

One way to test the linearity <strong>of</strong> a TAC is by exposure <strong>of</strong><br />

the detector to a low level <strong>of</strong> room light, and still use the<br />

pulsed-light source to trigger the TAC start signal. Since the<br />

photons from the room lights are not correlated with the<br />

start pulses, the stop pulses should be randomly distributed<br />

across the time range, which is a horizontal line in the mul-

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