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Semiconductor Lasers |
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Seldom has a discovery in the area of applied physics had so great an impact on so many areas. The word laser is an acronym for light amplification by stimulated emission of radiation and since its invention, thousands of laboratories have discovered a multitude of applications for this device. Its versatility has led to applications in the fields of medicine, biology, chemistry, astrophysics, materials manufacturing, the construction industry, surveying, consumer electronics, scientific instrumentation, communications technology, and military systems. Literally, billions of lasers are at work today. They range in size from tiny semiconductor devices no bigger than a grain of salt to high-power instruments as large as an average living room. Still, whether they provide the energy that ignites a fusion reaction in isotopes of hydrogen, scan bar-codes on produce in a supermarket, or provide the light source for high-capacity telecommunication systems; lasers have found numerous practical uses. |
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The History of Lasers |
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The Physics of Quantum Mechanics |
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The basic ideas of quantum theory were first introduced by Max Planck when investigating patterns of electromagnetic radiation emitted by a hot body. Einsteins theory of special relativity helped to resolve some the problems that classical physics had in describing particles moving at speeds comparable to that of light in his explanation of the photoelectric effect. As physicists sought new ways to solve other phenomena not explained within the framework of classical physics, Erwin Schrödinger and Werner Heisenberg formulated the new and consistent physical theory known as quantum mechanics. This new theory forced scientists to reexamine the relationship between particles and waves. The New AtomAs scientists slowly uncovered more of the properties of the atom, it became apparent that electrons could only contain distinct amounts of energy. The basic model was modified to give electrons specific orbits in which to exist that extend from the nucleus outward. Electrons can only exist in these orbits and not between them. Each level holds a fixed number of electrons with an associated and specific energy. Once a level is full, or if an electron gains enough energy, it will jump to the next energy level. Any level that is not full is called an incomplete level. These incomplete levels largely determine how atoms bond and interact. The most successful model of atomic structure is the quantum mechanical nuclear model. This model does not give us a view of the atom that is intuitive, yet it explains many phenomena that the simple model cannot. Since the electron acts like a wave of energy and a particle, the Bohr model proved to be unreliable in making predictions. The quantum model helps to explain this wave-particle duality of the electron as well as the electron's discrete energy behavior. The distinct levels of energy available to an electron are described as being quantized. The Crystal LatticeWhen individual atoms are brought close together, remarkable things begin to happen. First, the quantized levels of the atom overlap and seem to blur into near-continuous levels of energy. Second, the atoms align themselves into crystals, a repeated atomic structure in three dimensions. These crystals are referred to as lattices. There are several forms of crystal lattices. The first and most basic structure is called the simple cubic (see figure 2). |
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The unit cell, consisting of the smallest piece that retains the properties of that crystal, is a cube with an atom on each corner. The next crystal lattice is the body-centered cubic. The shape is that of a cube with an atom in the center (see figure 3). |
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The third form is the face-centered cubic (see figure 4). This cube has an atom on each corner and an atom on each face of the cube. |
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These lattices are held together by atomic forces called bonds. Two or more atoms combine to form a molecule due to a net attractive force that exists between them. Bonds are classified into Ionic, Metallic, Van der Walls, Mixed, or Covalent bonds. The kind of resultant bond is dictated by the electrons in the outermost shells of bonded atoms. Covalently bonded solids, such as silicon, have a tetrahedral configuration called a diamond crystal structure (see figure 5). |
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Although there are atoms at each corner and at the center of each face, there are also four atoms within the unit cell. In some semiconductors, such as GaAs, each type of atom in the lattice structure is arranged in alternating positions. Such geometry is called the zinc blend structure (see figure 6). |
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Basics of Semiconductor Theory |
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Materials can be categorized into conductors, semiconductors, or insulators by their ability to conduct electricity. Electrons, at thermal equilibrium with its environment (such as the solid materials in which the electrons exist), are governed by the Fermi statistics for their energy distribution. The so-called Fermi function, f(E), gives the probability with which a quantum state at energy E is occupied by an electron. The most important property is the Fermi energy, EF, which enters f(E) as a key parameter. According to the Fermi statistics, a quantum state can have a maximum of one electron. The Fermi function is expressed as |
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whose physical meaning is the probability of electron occupancy for an energy state at energy E. These allowed energy levels tend to form bands. The highest filled level is known as the valence band. Electrons in the valence band do not participate in the conduction process. The first unfilled level above the valence band is known as the conduction band. In metals, there is no energy gap; the conduction band and the valence band overlap, allowing free electrons to participate in the conduction process. Insulators have an energy gap that is far greater than the thermal energy of the electron, while semiconductor materials, the energy gap is typically around 1eV. The diagram below summarizes the energy band model of solid materials (see figure 7). |
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Types of Semiconductors |
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Elemental semiconductors are semiconductors where each atom is of the same type such as germanium (Ge) and silicon (Si). These atoms are bound together by covalent bonds, so that each atom shares an electron with its nearest neighbor, forming strong bonds. Compound semiconductors are made of two or more elements. Common examples are GaAs or InP. These compound semiconductors belong to the III-V semiconductors, so called because the first and second elements can be found in group-III and group-V of the periodic table respectively. Intrinsic semiconductors are essentially pure semiconductor material. An extrinsic semiconductor is formed from an intrinsic semiconductor by adding impurity atoms to the crystal in a process known as doping. To take the simplest example, consider Silicon. Since Silicon belongs to group IV of the periodic table, it has for valence electrons. In the crystal form, each atom shares an electron with a neighboring atom. In this state, it is an intrinsic semiconductor. B, Al, In, Ga all have three electrons in their valence band. When a small proportion of these atoms are incorporated into the crystal, the dopant atom has an insufficient number of bonds to share with the surrounding Silicon atoms. One of the Silicon atoms has a vacancy for an electron. It creates a hole that contributes to the conduction process at all temperatures. Dopents that create holes in this manner are known as acceptors. This type of extrinsic semiconductor is known as p-type because it creates positive-charged carriers. Elements that belong to group V of the periodic table such as As, P, Sb have five electrons in their valence band. When added as a dopant to intrinsic Silicon, the dopant atom contributes an additional electron to the crystal. Dopants that add electrons to the crystal are known as donors and the semiconductor material is said to be n-type. Figure 8 is a graphical representation of such concepts. |
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Doping of compound semiconductors is slightly more complicated. The effect of the dopant atom depends upon the site occupied by the atom. In III-V semiconductors, atoms from group II act as acceptors when occupying site of the group III atom, while atoms in VI act as donors when they replace atoms from group V. Dopant atoms from group IV have the unique property that allows them to act as acceptors or donors depending on whether they occupy the site of group III or group V atoms respectively. Such impurities are known as amphoteric donors. |
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Laser Theory |
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Laser technology deals with the concentration of light into very small, powerful beams. All lasers must have three basic elements: a lasing medium, an energy source, and an optical resonator. The concept of atomic energy levels and the Bohrs model of the atom explain spontaneous spectral absorption and emissions lines in terms of quantum jumps between energy levels. Nonetheless, the basic operation of a laser depends on a principle formulated by Albert Einstein in 1917 regarding the transitions between energy levels in an atom, or molecule. |
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The difference between energy levels is calculated using Plancks constant times the speed of light, divided by the wavelength. |
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The wavelength of the photon energy can be found by rearranging equation 2 to solve for wavelength (l). A point to consider is that stimulated emission is an amplification processone photon in, two outas illustrated by figure 10. The many photons produced by stimulated emissions are the source of the intense, coherent light in a laser. |
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Only certain materials serve well as lasing media. Stimulated emissions alone will not produce significant amplification of light unless a condition called population inversion occurs. Most electrons reside in the lowest energy levels, and the higher energy levels are depopulated. This distribution can be changed by the addition of excess energy in precise and discrete amounts. |
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Types of Lasers |
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The light produced by lasers is in general far more monochromatic, directional, powerful, and coherent than that from any other light sources. Nevertheless, the individual kinds of lasers differ greatly in these properties as well as in wavelength, size, and efficiency. There is no single laser suitable for all purposes, but some combinations of laser properties are capable of accomplishing things that were impracticable before its invention. The laser has found numerous practical uses, ranging from delicate surgery to measuring the distance between the Earth and the Moon. Gas-discharge lasers
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The Semiconductor Laser |
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The main reasons behind the role played by semiconductor lasers are their continued performance. Improvements, especially in low-threshold current, high-speed direct current modulation, ultra-short optical pulse generation, narrow spectral linewidth, broad linewidth range, high optical output power, low cost, low electrical power consumption, and high wall plug efficiency are some of the reasons behind their popularity. |
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Basic Principle of Operation |
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A semiconductor laser is a p-i-n diode. When it is forward-biased, electrons in the conduction band and holes in the valence band are injected into the intrinsic region (also called active region) from the n-type doped and the p-type doped regions, respectively. The electrons and the holes accumulate in the active region and are induced to recombine by the lasing optical field present in the same region. The energy released by this process (a photon for each electron-hole recombination) is added coherently to the optical field (laser action). |
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For optical radiation at frequency n to experience gain (amplification) rather than loss in a semiconductor medium, the separation between the Fermi energies of electrons and holes in the medium must exceed the photon energy hn. To reach this state, a certain minimum value of injected carrier density Ntr (transparency carrier density) is required. This transparency carrier density is maintained by a (transparency) current in a semiconductor laser, which is usually the major component of the threshold current and can be written as |
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where w is the laser diode width and L is the laser cavity length. Jtr is the transparency current density, which can be written as |
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where e is the fundamental electron charge, d is the active layer thickness, and tc is the carrier lifetime related to spontaneous electron-hole recombination and other carrier loss mechanism at injection carrier density Ntr. |
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Practical Applications |
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Semiconductor lasers have become the technology of choice for many important applications because of their small size, low cost, high reliability, and excellent spectral and modulation characteristics. Lasers play a key role in a wide variety of applications and in such diverse areas as spectroscopy, communications, metrology, and micro-sensors and micro-instruments. Spectroscopic
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Advantages/Disadvantages of Semiconductor Lasers |
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The Advantages
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Future Developments |
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Research into the basic structure and characteristics of semiconductors promise a future filled with new technological products. Although semiconductor lasers already play a key role in information services, optical communication, and in the entertainment industry, the next generation of smaller, more efficient and more dependable devices will revolutionize many electronic devices. By confining electrons in dimensionally limited environments and by using new and exotic semiconducting compounds, researchers near the point of being able to create designer atoms. In addition to this, much effort is being focused on expanding the power and relatively narrow frequency bands presently attainable by semiconducting lasers. There is also research underway that endeavors to expand the operating environments in which semiconductor lasers are able to operate. Through proper design of the laser, environmental conditions such as temperature, vibration and even pressure will cease to be a limiting factor in semiconductor laser applications. Extended Lifetimes
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By reducing the dimensions and manipulating the exact composition of the semiconductor material, scientists can literally custom design the resulting electrical properties of the device. Extremely efficient quantum well lasers are currently used in many common devices such as compact disk players, but quantum wires and quantum dots are still being studied in the laboratory. Since such quantum devices contain few conduction electrons, the energy bands present in the bulk material reduce to a few levels that can then be utilized for specific applications (see figure 14). |
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More and Wider Wavelengths
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References |
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Bie, Alex. Tunnel Diodes and Other Goodies. Popular Mechanics. Feb. 1999. Corcoran, Elizabeth, and Glenn Zorpette. Diminishing Dimensions. Scientific American. Oct. 1997. Development of High Speed DFB and DBR Semiconductor Lasers, NSL, NanoStructures Laboratory, MIT. http://nanoweb.mit.edu/annual-report00/25.htm Diode Emits Blue-Purple Pulses at Room Temperature. Laser World News. http://elecomm.electra.inha.ac.kr/Labs/micropro/webzine/news_2.htm Forouhar, Siamak. Semiconductor Lasers for NASA Applications. NASA Office of Space Access and Technology. http://mishkin.jpl.nasa.gov/spacemicro/TDL_PAPER Gourley, Paul L. Nanolasers: Semiconductor Lasers Have Shrunk to Dimensions Even Smaller than the Wavelength of the Light They Emit. Scientific American. March 1998. Humphries, James T., and Leslie P. Sheets. Industrial Electronics. Albany, New York: Delmar Publishers, 1993. Kasap, S. O. Principles of Electrical Engineering Materials and Devices. New York: McGraw-Hill, 1997. Leutwyler, Kristin. Plastic Power: Polymers Take a Step Forward as Photovoltaic Cells and Lasers. Scientific American. Dec. 1996. Makino, T. The Effect of Carrier Capture and Escape on the Optical Gain of Quantum-well Semiconductor Lasers. Canadian Journal of Physics. Feb. 1999. Olegi, D. Blue-Green Semiconductor Lasers. Europhysics, News Extra, Aug. 1995. Practical Systems Take Shape. National Academy of Sciences, Washington, DC http://www4.nas.edu/beyond/beyonddiscovery.nsf/web/laser Solid-State Lasers: Upward to a Focus. Science News. November 6, 1993. Tomasi, Wayne. Advanced Electronic Communications Systems. Englewood Cliffs, New Jersey: Prentice Hall, 1994. Wilson, Jerry D. College Physics. Englewood Cliffs, New Jersey: Prentice Hall, 1994. Wilson, Jim. Have Atoms, Will Travel. Popular Mechanics. July 1997. |
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