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PHOTON COUNTING AND STATISTICS OF LIGHT Dongwook Goh

Photon counting and statistics of light

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PHYS231 presentation @ POSTECH

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Page 1: Photon counting and statistics of light

PHOTON COUNTING AND STATISTICS OF LIGHTDongwook Goh

Page 2: Photon counting and statistics of light

LIGHT AS A PRTICLE

Figure : hyperphysics.phy-astr.gsu.edu/hbase/hframe.html

Page 3: Photon counting and statistics of light

Single Photon Counting Module (SPCM)

Figure : http://www.perkinelmer.com/

SPCM-AQRH-10FC

Single Photon Timing Resolution : ~1 ps

Dark Counting : ~1500 /s

One can vary the “cut-off time”

Page 4: Photon counting and statistics of light

LIGHT SOURCES : THERMAL AND COHERENT LIGHT

Figure : Wikipedia

Thermal Light Coherent Light

§ Various Frequencies§ Out of Phase§ Bose-Einstein Distribution§ Blackbody

§ Single Frequency§ In Phase§ Poisson Distribution§ Laser

Page 5: Photon counting and statistics of light

LIGHT SOURCES : THERMAL AND COHERENT LIGHT

Thermal Light : Bose Einstein Distribution

Coherent Light : Poisson Distribution

Page 6: Photon counting and statistics of light

LIGHT SOURCES : THERMAL AND COHERENT LIGHT

Thermal Light : Bose Einstein Distribution

Coherent Light : Poisson DistributionStatistics of photon

depends on the nature of the source.

Page 7: Photon counting and statistics of light

THE PRINCIPLE OF LASER

LASERLight Amplification by Stimulated Emission of Radiation

Watch the Video !Figure : Wikipedia

Page 8: Photon counting and statistics of light

PSEUDO-THERMAL LIGHT

Figure : D. Meschede – Optics, Light, and Lasers

Original paper :F. T. Arecchi, Phys. Rev. Lett. 15, 912, Measurement of the Statistical Distribution of Gaussian and Laser Sources

Page 9: Photon counting and statistics of light

PSEUDO-THERMAL LIGHT

Figure : Kang-Hee Hong, Young-Sun Song, Yoon-Ho Kim,Student Manual : Electronics & Instrumentation Lab, POSTECH, 2009.

Velocity of the Rotating Disk : Average Irregularities Size :

Coherence Time~~10m/s, ~10mAssume~ = à

Page 10: Photon counting and statistics of light

PSEUDO-THERMAL LIGHT

Figure : Kang-Hee Hong, Young-Sun Song, Yoon-Ho Kim,Student Manual : Electronics & Instrumentation Lab, POSTECH, 2009.

Velocity of the Rotating Disk : Average Irregularities Size :

Coherence Time~~10m/s, ~10mAssume~ = à

Cut-off time of the SPCM should be

smaller than .

Page 11: Photon counting and statistics of light

Experiment Setup

He-Ne Laser

Single Mode Fiber

SPCM

Mirror

NI ELVIS

ND filter

Page 12: Photon counting and statistics of light

Experiment Setup

He-Ne Laser

Single Mode Fiber

SPCM

Mirror

NI ELVIS

Lens

Rotating Disk

Page 13: Photon counting and statistics of light

Result : Coherent Light

Cut-off Time

Photon Flux = ~30,000 counts/s

Poisson Distribution Curve Fitting

Page 14: Photon counting and statistics of light

Result : Pseudo-Thermal LightBose-Einstein Distribution Curve Fitting

Cut-off Time = Photon Flux = 46,084 counts/s

Page 15: Photon counting and statistics of light

Result : Pseudo-Thermal Light

Cut-off Time =

Photon Flux

Photon Flux = ~500,000 counts/s

Cut-off Time

Coherence time : ~

Page 16: Photon counting and statistics of light

Conclusion§ Laser follows a Poisson statistics, so laser is a coherent light.

§ Rotating glass plate generates a pseudo-thermal light.

§ Pseudo-thermal light follows Bose-Einstein statistics when the cut-off time is smaller than 20 .

§ The coherence time of the pseudo-thermal light is about 10~20 in this experiment.

§ As the cut-off time increases, statistics of pseudo-thermal light approaches Poisson distribution

§ One can say that pseudo-thermal light is approximately a thermal light when time resolution is larger than the coherence time.