2
LASERS OPTICS IN 1995 solid state Raman shifting in Ba(NO3) 2 nonlinear crystals," presented at the Nonlinear Optics Conference, Hawaii (July 1994); J.T. Murray et al., "Eye-safe solid state intracavity Raman laser," presented at the Advanced Solid State Laser Conference, Memphis (January 1995). 2. J.T. Murray et al., "Generation of 1.5 μ m radiation through intracavity solid state Raman shifting in Ba(NO3) 2 nonlinear crystals," Opt. Lett. 20, 1017 (1995). 3. T.T. Basiev et al., "Conversion of tunable radiation from a laser utilizing an LiF crystal containing F2- color centers by stimulated Raman scatter- ing in Ba(NO3) 2 and KGd(WO4) 2 crystals," Sov. J. Quant. Electron. 17, 1560 (1987). Compact Solid-State Dye Laser Oscillators F. J. Duarte, Eastman Kodak Company, Rochester, N.Y. S olid-state dye lasers 1,2 were first discovered in 1967. Following a long period of relegation to the archives, these tunable lasers have experienced a strong resurgence in interest from researchers around the world. Much of this activity is focused on the develop- ment and demonstration of new low-cost laser gain materials. The availability of these materials, such as dye-doped modified PMMA and ORMOSILS, have shifted the interest in the dye laserfieldfrom traditional high-power devices to compact solid-state sources. For many applications, in addition to tunability, lasers are required to yield highly coherent emission. This enables traditional tunable dye lasers, for example, to be applicable to a wide variety of fields such as fun- damental physics, spectroscopy, isotope separation, and lidar. Until recently, 3 the element of narrow-linewidth, or highly coherent emission, was absent from the realm of the solid-state dye laser. A significant improvement in this area was made possible by the availability of high optical quality dye-doped modified PMMA materials that were then incorporated in very compact multiple- prism grating oscillator configurations. 4 These disper- sive oscillators have been configured in cavities as short as 55 mm and have yielded TEM 00 beams and single- longitudinal-mode emission at laser linewidths as nar- row as 420 MHz. Tunable single-longitudinal-mode emission coupled with near-Gaussian temporal pulses 4 and good beam quality, open a whole gamut of applica- tions for these new compact oscillators. References 1. B.H. Soffer and B.B. McFarland, "Continuously tunable narrow-band organic dye lasers," Appl. Phys. Lett. 10, 266-267 (1967). 2. O.G. Peterson and B.B. Snavely, "Stimulated emission from flashlamp- excited organic dyes in polymethyl methacrylate," Appl. Phys. Lett. 12, 238-240 (1968). 3. F.J. Duarte, "Solid-state multiple-prism grating dye laser oscillators," Appl. Opt. 33, 3857-3860 (1994). 4. F.J. Duarte, "Solid-state dispersive dye laser oscillator: Very compact cavi- ty," Opt. Commun. 117, 480-484 (1995). QUANTUM OPTICS Young's Double-Slit Interferometry within an Atom Michael W. Noel and C. R. Stroud, Jr., Institute of Optics, University of Rochester, Rochester, N.Y. Y oung's double-slit interference is fundamental to our understanding of the coherence properties of any wave phenomenon. It has played a major role in the development of optical coherence theory. 1 The quan- tum mechanical deBroglie waves described by Schrödinger's equation have coherence properties that can be studied in much the same way as optical waves. In a recent paper 2 we demonstrated a version of Young's double-slit interferometer in which the deBroglie wave associated with a single valence electron in a potassium atom is split into two wave packets that are ejected into a Rydberg elliptical orbit about the nucleus. The two packets are injected one at a time with a relative delay such that they are centered on the oppo- site sides of the orbit, separated by approximately 0.5 μm. These two wave packets then act as secondary sources just as the slits in Young's interferometer. The two wave packets propagate around the orbit and dis- perse due to the nonlinear nature of the Coulomb potential. Eventually, the two packets overlap and inter- ference fringes are formed. The fringe pattern can be controlled by adjusting the initial relative phase between the deBroglie waves of the two wave packets. The actual experiment was carried out using fre- quency doubled 25 psec pulses from a synchronously pumped mode-locked dye laser to excite the valance electron of potassium atoms in a collimated atomic beam. The laser pulse was sent through a series of beam splitters and delay lines whose optical path lengths were actively controlled by a servo-system to an accuracy of approximately one-hundredth of an optical wavelength. This arrangement allowed illumination of the atom with a series of three pulses whose amplitudes and rela- tive phases could be controlled very accurately. The wavelength of the laser pulses was chosen so that they each excited a coherent superposition of approximately five Rydberg levels in the vicinity of principal quantum Optics & Photonics News/December 1995 33

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Page 1: Young's Double-Slit Interferometry within an Atom

LASERS O

PTICS IN

1995

solid state Raman shifting in Ba(NO3)2 nonlinear crystals," presented at the Nonlinear Optics Conference, Hawaii (July 1994); J.T. Murray et al., "Eye-safe solid state intracavity Raman laser," presented at the Advanced Solid State Laser Conference, Memphis (January 1995).

2. J.T. Murray et al., "Generation of 1.5 μ m radiation through intracavity solid state Raman shifting in Ba(NO3)2 nonlinear crystals," Opt. Lett. 20, 1017 (1995).

3. T.T. Basiev et al., "Conversion of tunable radiation from a laser utilizing an LiF crystal containing F2- color centers by stimulated Raman scatter­ing in Ba(NO3)2 and KGd(WO 4) 2 crystals," Sov. J. Quant. Electron. 17, 1560 (1987).

Compact Solid-State Dye Laser Oscillators F. J. Duarte, Eastman Kodak Company, Rochester, N.Y.

S olid-state dye lasers1,2 were first discovered in 1967. Following a long period of relegation to the

archives, these tunable lasers have experienced a strong resurgence in interest from researchers around the world. Much of this activity is focused on the develop­ment and demonstration of new low-cost laser gain materials. The availability of these materials, such as dye-doped modified PMMA and ORMOSILS, have shifted the interest in the dye laser field from traditional high-power devices to compact solid-state sources.

For many applications, in addition to tunability,

lasers are required to yield highly coherent emission. This enables traditional tunable dye lasers, for example, to be applicable to a wide variety of fields such as fun­damental physics, spectroscopy, isotope separation, and lidar.

Until recently,3 the element of narrow-linewidth, or highly coherent emission, was absent from the realm of the solid-state dye laser. A significant improvement in this area was made possible by the availability of high optical quality dye-doped modified PMMA materials that were then incorporated in very compact multiple-prism grating oscillator configurations.4 These disper­sive oscillators have been configured in cavities as short as 55 mm and have yielded TEM 0 0 beams and single-longitudinal-mode emission at laser linewidths as nar­row as 420 MHz. Tunable single-longitudinal-mode emission coupled with near-Gaussian temporal pulses4

and good beam quality, open a whole gamut of applica­tions for these new compact oscillators.

References 1. B.H. Soffer and B.B. McFarland, "Continuously tunable narrow-band

organic dye lasers," Appl. Phys. Lett. 10, 266-267 (1967). 2. O.G. Peterson and B.B. Snavely, "Stimulated emission from flashlamp-

excited organic dyes in polymethyl methacrylate," Appl. Phys. Lett. 12, 238-240 (1968).

3. F.J. Duarte, "Solid-state multiple-prism grating dye laser oscillators," Appl. Opt. 33, 3857-3860 (1994).

4. F.J. Duarte, "Solid-state dispersive dye laser oscillator: Very compact cavi­ty," Opt. Commun. 117, 480-484 (1995).

QUANTUM OPTICS

Young's Double-Slit Interferometry within an Atom Michael W. Noel and C. R. Stroud, Jr., Institute of Optics, University of Rochester, Rochester, N.Y.

Y oung's double-slit interference is fundamental to our understanding of the coherence properties of

any wave phenomenon. It has played a major role in the development of optical coherence theory.1 The quan­tum mechanical deBroglie waves described by Schrödinger's equation have coherence properties that can be studied in much the same way as optical waves. In a recent paper2 we demonstrated a version of Young's double-slit interferometer in which the deBroglie wave associated with a single valence electron in a potassium atom is split into two wave packets that are ejected into a Rydberg elliptical orbit about the nucleus. The two packets are injected one at a time with a relative delay such that they are centered on the oppo­site sides of the orbit, separated by approximately

0.5 μm. These two wave packets then act as secondary sources just as the slits in Young's interferometer. The two wave packets propagate around the orbit and dis­perse due to the nonlinear nature of the Coulomb potential. Eventually, the two packets overlap and inter­ference fringes are formed. The fringe pattern can be controlled by adjusting the initial relative phase between the deBroglie waves of the two wave packets.

The actual experiment was carried out using fre­quency doubled 25 psec pulses from a synchronously pumped mode-locked dye laser to excite the valance electron of potassium atoms in a collimated atomic beam. The laser pulse was sent through a series of beam splitters and delay lines whose optical path lengths were actively controlled by a servo-system to an accuracy of approximately one-hundredth of an optical wavelength. This arrangement allowed illumination of the atom with a series of three pulses whose amplitudes and rela­tive phases could be controlled very accurately. The wavelength of the laser pulses was chosen so that they each excited a coherent superposition of approximately five Rydberg levels in the vicinity of principal quantum

Optics & Photonics News/December 1995 33

Page 2: Young's Double-Slit Interferometry within an Atom

QUANTUM OPTICS

number n=65. The first pulse formed a Rydberg wave

packet. After a delay of half a Kepler period, during

which time the first wave packet moved to the outer

turning point of the orbit, the second pulse was inci­

dent on the atom. By controlling the delay between the

two pulses to a fraction of an optical period the phase

of the deBroglie wave was similarly controlled. M u c h

later the third pulse was sent into the beam after the

two wave packets had propagated far enough so that

they overlapped. The pulse then acted as a Ramsey-

fringe probe of the fringe pattern when the Rydberg

population was read out. This was done by ionizing

the the atoms with a dc electric field pulse and collect­

ing the ions with an electron multiplier.

This experiment is one example of several kinds of

interferometers that can be set up to study the coher­

ence properties of electrons within atoms. Very similar

schemes will allow the study of the coherence proper­

ties of nuclear or electron wave functions within mole­

cules. 3

Acknowledgments This work was supported in part by the U.S. A r m y

Research Office.

References 1. M. Born and E. Wolf, Principles of Optics, Pergamon Press, New York, Sec.

7.3.1, 260, (1980).

2. M. W. Noel and C. R. Stroud Jr.,"Young's double-slit interferomtry within an atom," Phys. Rev. Lett. 75, 1252-1255 (1995).

3. B. M. Garroway and S. Stenholm,"Interferometer witin a molecule," Phys. Rev. A 46, 1413-1420 (1992).

Figure 1 (left). A c o m p a r i s o n of the optical and wave packet ver­

s ions of Young's interferometer. In the first c o l u m n , one of the slits

of the optical interferometer is b locked . This is ana logous to excit­

ing only one wave packet which is al lowed to orbit freely. As the

wave packet orbits it s p r e a d s and structures form which are known

a s fractional revivals. At the one-half fractional (1/2 TR) revival the

wave packet is split into two miniature repl icas of the original wave

packet . In the s e c o n d co lumn the other slit of the optical interferom­

eter is b locked . The wave packet in this c a s e s tar ts on the opposi te

s ide of the orbit. However, after evolving for 1/2 T R the wave pack­

ets in the first two c o l u m n s look identical , that is they exactly s p a ­

tially overlap. At this t ime, strong interference is s e e n when the two

are a d d e d coherently just a s interference fr inges are s e e n when

both slits of the optical interferometer are o p e n . The three pictures

in the bottom of the third co lumn are the interference patterns for

three particular p h a s e relat ionships between the two initially excited

wave packets .

Gain in Strongly Confined Quantum Dots Harald Giessen, Nasser Peyghambarian, Optical Sciences Center, University of Arizona, Tucson, Ariz., and Ulrike Woggon, Fachbereich Physik, Arbeitsgruppe Halbleiterphysik, Kaiserslautern, Germany

Q uasi-zero-dimensional systems have been proposed

as superior gain media for a laser because they

should exhibit a delta-function like density of states

and therefore a high inversion and a low lasing thresh­

old. We present theoretical and experimental studies of

the ultrafast dynamics of optical gain in strongly con­

fined CdSe quantum dots in a glass matrix, which serve

as a model system for quasi-zero-dimension semicon­

ductors.1,2

The particle size (R=25 Å) in these semiconductor

systems is only half the size of the bulk exciton Bohr

radius, leading to a large separation of the quantized

energy levels. By optically pumping into the lowest ener­

gy levels one should be able to study bleaching and gain

dynamics. The experiments were conducted with 115

fsec pump pulses and a femtosecond white-light contin­

uum.

Figure la shows results for the nonlinear absorption

under increasing p u m p intensity for a p u m p probe

delay of 5 psec. The gain region develops below the

absorption edge, which stretches at highest intensities

over more than 100 nm spectral width. Ga in is also

found below the lowest quantized energy level.

Time-resolved measurements show that the gain is

created within a few hundred femtoseconds, in contrast

to gain build-up times of several picoseconds in higher

dimensional systems, e.g., quantum wells. This fast gain

bui ld-up is due to the instantaneous creation of the

gain at the localization site, i.e., inside the quantum dot,

without the necessity of a migration process to a local

potential min imum, as required in quantum wells. The

gain lasts for about 200 psec and decays faster at the

high energy side of the spectrum. These observations

could be modeled using a multi-level model that takes

34 Optics & Photonics News/December 1995