A portion of the disclosure of this patent document contains material which is subject to copyright or mask work protection. The copyright or mask work owner has no objection to the facsimile reproduction by anyone of the patent document or the patent disclosure, as it appears in the Patent and Trademark Office patent file or records, but otherwise reserves all copyright or mask work rights whatsoever.
This disclosure relates to coupling energy from an electromagnetic wave.
Electromagnetic Radiation & Waves
Electromagnetic radiation is produced by the motion of electrically charged particles. Oscillating electrons produce electromagnetic radiation commensurate in frequency with the frequency of the oscillations. Electromagnetic radiation is essentially energy transmitted through space or through a material medium in the form of electromagnetic waves. The term can also refer to the emission and propagation of such energy. Whenever an electric charge oscillates or is accelerated, a disturbance characterized by the existence of electric and magnetic fields propagates outward from it. This disturbance is called an electromagnetic wave. Electromagnetic radiation falls into categories of wave types depending upon their frequency, and the frequency range of such waves is tremendous, as is shown by the electromagnetic spectrum in the following chart (which categorizes waves into types depending upon their frequency):
The ability to generate (or detect) electromagnetic radiation of a particular type (e.g., radio, microwave, etc.) depends upon the ability to create a structure suitable for electron oscillation or excitation at the frequency desired. Electromagnetic radiation at radio frequencies, for example, is relatively easy to generate using relatively large or even somewhat small structures.
Electromagnetic Wave Generation
There are many traditional ways to produce high-frequency radiation in ranges at and above the visible spectrum, for example, up to high hundreds of Terahertz. There are also many traditional and anticipated applications that use such high frequency radiation. As frequencies increase, however, the kinds of structures needed to create the electromagnetic radiation at a desired frequency become generally smaller and harder to manufacture. We have discovered ultra-small-scale devices that obtain multiple different frequencies of radiation from the same operative layer.
Resonant structures have been the basis for much of the presently known high frequency electronics. Devices like klystrons and magnetrons had electronics that moved frequencies of emission up to the megahertz range by the 1930s and 1940s. By around 1960, people were trying to reduce the size of resonant structures to get even higher frequencies, but had limited success because the Q of the devices went down due to the resistivity of the walls of the resonant structures. At about the same time, Smith and Purcell saw the first signs that free electrons could cause the emission of electromagnetic radiation in the visible range by running an electron beam past a diffraction grating. Since then, there has been much speculation as to what the physical basis for the Smith-Purcell radiation really is.
We have shown that some of the theory of resonant structures applies to certain nano structures that we have built. It is assumed that at high enough frequencies, plasmons conduct the energy as opposed to the bulk transport of electrons in the material, although our inventions are not dependent upon such an explanation. Under that theory, the electrical resistance decreases to the point where resonance can effectively occur again, and makes the devices efficient enough to be commercially viable.
Some of the more detailed background sections that follow provide background for the earlier technologies (some of which are introduced above), and provide a framework for understanding why the present inventions are so remarkable compared to the present state-of-the-art.
Microwaves
As previously introduced, microwaves were first generated in so-called “klystrons” in the 1930s by the Varian brothers. Klystrons are now well-known structures for oscillating electrons and creating electromagnetic radiation in the microwave frequency. The structure and operation of klystrons has been well-studied and documented and will be readily understood by the artisan. However, for the purpose of background, the operation of the klystron will be described at a high level, leaving the particularities of such devices to the artisan's present understanding.
Klystrons are a type of linear beam microwave tube. A basic structure of a klystron is shown by way of example in
The electron bunches are formed when an oscillating electric field causes the electron stream to be velocity modulated so that some number of electrons increase in speed within the stream and some number of electrons decrease in speed within the stream. As the electrons travel through the drift tube of the vacuum cavity the bunches that are formed create a space-charge wave or charge-modulated electron beam. As the electron bunches pass the mouth of the output cavity, the bunches induce a large current, much larger than the input current. The induced current can then generate electromagnetic radiation.
Traveling Wave Tubes
Traveling wave tubes (TWT)—first described in 1942—are another well-known type of linear microwave tube. A TWT includes a source of electrons that travels the length of a microwave electronic tube, an attenuator, a helix delay line, radio frequency (RF) input and output, and an electron collector. In the TWT, an electrical current was sent along the helical delay line to interact with the electron stream.
Backwards Wave Devices
Backwards wave devices are also known and differ from TWTs in that they use a wave in which the power flow is opposite in direction from that of the electron beam. A backwards wave device uses the concept of a backward group velocity with a forward phase velocity. In this case, the RF power comes out at the cathode end of the device. Backward wave devices could be amplifiers or oscillators.
Magnetrons
Magnetrons are another type of well-known resonance cavity structure developed in the 1920s to produce microwave radiation. While their external configurations can differ, each magnetron includes an anode, a cathode, a particular wave tube and a strong magnet.
Reflex Klystron
Multiple cavities are not necessarily required to produce microwave radiation. In the reflex klystron, a single cavity, through which the electron beam is passed, can produce the required microwave frequency oscillations. An example reflex klystron 120 is shown in
In each of the resonant cavity devices described above, the characteristic frequency of electron oscillation depends upon the size, structure, and tuning of the resonant cavities. To date, structures have been discovered that create relatively low frequency radiation (radio and microwave levels), up to, for example, GHz levels, using these resonant structures. Higher levels of radiation are generally thought to be prohibitive because resistance in the cavity walls will dominate with smaller sizes and will not allow oscillation. Also, using current techniques, aluminum and other metals cannot be machined down to sufficiently small sizes to form the cavities desired. Thus, for example, visible light radiation in the range of 400 Terahertz–750 Terahertz is not known to be created by klystron-type structures.
U.S. Pat. No. 6,373,194 to Small illustrates the difficulty in obtaining small, high-frequency radiation sources. Small suggests a method of fabricating a micro-magnetron. In a magnetron, the bunched electron beam passes the opening of the resonance cavity. But to realize an amplified signal, the bunches of electrons must pass the opening of the resonance cavity in less time than the desired output frequency. Thus at a frequency of around 500 THz, the electrons must travel at very high speed and still remain confined. There is no practical magnetic field strong enough to keep the electron spinning in that small of a diameter at those speeds. Small recognizes this issue but does not disclose a solution to it.
Surface plasmons can be excited at a metal dielectric interface by a monochromatic light beam. The energy of the light is bound to the surface and propagates as an electromagnetic wave. Surface plasmons can propagate on the surface of a metal as well as on the interface between a metal and dielectric material. Bulk plasmons can propagate beneath the surface, although they are typically not energetically favored.
Free electron lasers offer intense beams of any wavelength because the electrons are free of any atomic structure. In U.S. Pat. No. 4,740,973, Madey et al. disclose a free electron laser. The free electron laser includes a charged particle accelerator, a cavity with a straight section and an undulator. The accelerator injects a relativistic electron or positron beam into said straight section past an undulator mounted coaxially along said straight section. The undulator periodically modulates in space the acceleration of the electrons passing through it inducing the electrons to produce a light beam that is practically collinear with the axis of undulator. An optical cavity is defined by two mirrors mounted facing each other on either side of the undulator to permit the circulation of light thus emitted. Laser amplification occurs when the period of said circulation of light coincides with the period of passage of the electron packets and the optical gain per passage exceeds the light losses that occur in the optical cavity.
Smith-Purcell
Smith-Purcell radiation occurs when a charged particle passes close to a periodically varying metallic surface, as depicted in
Known Smith-Purcell devices produce visible light by passing an electron beam close to the surface of a diffraction grating. Using the Smith-Purcell diffraction grating, electrons are deflected by image charges in the grating at a frequency in the visible spectrum. In some cases, the effect may be a single electron event, but some devices can exhibit a change in slope of the output intensity versus current. In Smith-Purcell devices, only the energy of the electron beam and the period of the grating affect the frequency of the visible light emission. The beam current is generally, but not always, small. Vermont Photonics notice an increase in output with their devices above a certain current density limit. Because of the nature of diffraction physics, the period of the grating must exceed the wavelength of light.
Koops, et al., U.S. Pat. No. 6,909,104, published Nov. 30, 2000, (§ 102(e) date May 24, 2002) describe a miniaturized coherent terahertz free electron laser using a periodic grating for the undulator (sometimes referred to as the wiggler). Koops et al. describe a free electron laser using a periodic structure grating for the undulator (also referred to as the wiggler). Koops proposes using standard electronics to bunch the electrons before they enter the undulator. The apparent object of this is to create coherent terahertz radiation. In one instance, Koops, et al. describe a given standard electron beam source that produces up to approximately 20,000 volts accelerating voltage and an electron beam of 20 microns diameter over a grating of 100 to 300 microns period to achieve infrared radiation between 100 and 1000 microns in wavelength. For terahertz radiation, the diffraction grating has a length of approximately 1 mm to 1 cm, with grating periods of 0.5 to 10 microns, “depending on the wavelength of the terahertz radiation to be emitted.” Koops proposes using standard electronics to bunch the electrons before they enter the undulator.
Potylitsin, “Resonant Diffraction Radiation and Smith-Purcell Effect,” 13 Apr. 1998, described an emission of electrons moving close to a periodic structure treated as the resonant diffraction radiation. Potylitsin's grating had “perfectly conducting strips spaced by a vacuum gap.”
Smith-Purcell devices are inefficient. Their production of light is weak compared to their input power, and they cannot be optimized. Current Smith-Purcell devices are not suitable for true visible light applications due at least in part to their inefficiency and inability to effectively produce sufficient photon density to be detectable without specialized equipment.
We realized that the Smith-Purcell devices yielded poor light production efficiency. Rather than deflect the passing electron beam as Smith-Purcell devices do, we created devices that resonated at the frequency of light as the electron beam passes by. In this way, the device resonance matches the system resonance with resulting higher output. Our discovery has proven to produce visible light (or even higher or lower frequency radiation) at higher yields from optimized ultra-small physical structures.
Coupling Energy from Electromagnetic Waves
Coupling energy from electromagnetic waves in the terahertz range from 0.1 THz (about 3000 microns) to 700 THz (about 0.4 microns) is finding use in numerous new applications. These applications include improved detection of concealed weapons and explosives, improved medical imaging, finding biological materials, better characterization of semiconductors; and broadening the available bandwidth for wireless communications.
In solid materials the interaction between an electromagnetic wave and a charged particle, namely an electron, can occur via three basic processes: absorption, spontaneous emission and stimulated emission. The interaction can provide a transfer of energy between the electromagnetic wave and the electron. For example, photoconductor semiconductor devices use the absorption process to receive the electromagnetic wave and transfer energy to electron-hole pairs by band-to-band transitions. Electromagnetic waves having an energy level greater than a material's characteristic binding energy can create electrons that move when connected across a voltage source to provide a current. In addition, extrinsic photoconductor devices operate having transitions across forbidden-gap energy levels use the absorption process (S. M., Sze, “Semiconductor Devices Physics and Technology,” 2002).
A measure of the energy coupled from an electromagnetic wave for the material is referred to as an absorption coefficient. A point where the absorption coefficient decreases rapidly is called a cutoff wavelength. The absorption coefficient is dependant on the particular material used to make a device. For example, gallium arsenide (GaAs) absorbs electromagnetic wave energy from about 0.6 microns and has a cutoff wavelength of about 0.87 microns. In another example, silicon (Si) can absorb energy from about 0.4 microns and has a cutoff wavelength of about 1.1 microns. Thus, the ability to transfer energy to the electrons within the material for making the device is a function of the wavelength or frequency of the electromagnetic wave. This means the device can work to couple the electromagnetic wave's energy only over a particular segment of the terahertz range. At the very high end of the terahertz spectrum a Charge Coupled Device (CCD)—an intrinsic photoconductor device—can successfully be employed. If there is a need to couple energy at the lower end of the terahertz spectrum certain extrinsic semiconductors devices can provide for coupling energy at increasing wavelengths by increasing the doping levels.
Surface Enhanced Raman Spectroscopy (SERS)
Raman spectroscopy is a well-known means to measure the characteristics of molecule vibrations using laser radiation as the excitation source. A molecule to be analyzed is illuminated with laser radiation and the resulting scattered frequencies are collected in a detector and analyzed.
Analysis of the scattered frequencies permits the chemical nature of the molecules to be explored. Fleischmann et al. (M. Fleischmann, P. J. Hendra and A. J. McQuillan, Chem. Phys. Lett., 1974, 26, 163) first reported the increased scattering intensities that result from Surface Enhanced Raman Spectroscopy (SERS), though without realizing the cause of the increased intensity.
In SERS, laser radiation is used to excite molecules adsorbed or deposited onto a roughened or porous metallic surface, or a surface having metallic nano-sized features or structures. The largest increase in scattering intensity is realized with surfaces with features that are 10–100 nm in size. Research into the mechanisms of SERS over the past 25 years suggests that both chemical and electromagnetic factors contribute to the enhancing the Raman effect. (See, e.g., A. Campion and P. Kambhampati, Chem. Soc. Rev., 1998, 27 241.)
The electromagnetic contribution occurs when the laser radiation excites plasmon resonances in the metallic surface structures. These plasmons induce local fields of electromagnetic radiation which extend and decay at the rate defined by the dipole decay rate. These local fields contribute to enhancement of the Raman scattering at an overall rate of E4.
Recent research has shown that changes in the shape and composition of nano-sized features of the substrate cause variation in the intensity and shape of the local fields created by the plasmons. Jackson and Halas (J. B. Jackson and N. J. Halas, PNAS, 2004, 101 17930) used nano-shells of gold to tune the plasmon resonance to different frequencies.
Variation in the local electric field strength provided by the induced plasmon is known in SERS-based devices. In U.S. Patent application 2004/0174521 A1, Drachev et al. describe a Raman imaging and sensing device employing nanoantennas. The antennas are metal structures deposited onto a surface. The structures are illuminated with laser radiation. The radiation excites a plasmon in the antennas that enhances the Raman scatter of the sample molecule.
The electric field intensity surrounding the antennas varies as a function of distance from the antennas, as well as the size of the antennas. The intensity of the local electric field increases as the distance between the antennas decreases.
Advantages & Benefits
Myriad benefits and advantages can be obtained by a ultra-small resonant structure that emits varying electromagnetic radiation at higher radiation frequencies such as infrared, visible, UV and X-ray. For example, if the varying electromagnetic radiation is in a visible light frequency, the micro resonant structure can be used for visible light applications that currently employ prior art semiconductor light emitters (such as LCDs, LEDs, and the like that employ electroluminescence or other light-emitting principals). If small enough, such micro-resonance structures can rival semiconductor devices in size, and provide more intense, variable, and efficient light sources. Such micro resonant structures can also be used in place of (or in some cases, in addition to) any application employing non-semiconductor illuminators (such as incandescent, fluorescent, or other light sources). Those applications can include displays for personal or commercial use, home or business illumination, illumination for private display such as on computers, televisions or other screens, and for public display such as on signs, street lights, or other indoor or outdoor illumination. Visible frequency radiation from ultra-small resonant structures also has application in fiber optic communication, chip-to-chip signal coupling, other electronic signal coupling, and any other light-using applications.
Applications can also be envisioned for ultra-small resonant structures that emit in frequencies other than in the visible spectrum, such as for high frequency data carriers. Ultra-small resonant structures that emit at frequencies such as a few tens of terahertz can penetrate walls, making them invisible to a transceiver, which is exceedingly valuable for security applications. The ability to penetrate walls can also be used for imaging objects beyond the walls, which is also useful in, for example, security applications. X-ray frequencies can also be produced for use in medicine, diagnostics, security, construction or any other application where X-ray sources are currently used. Terahertz radiation from ultra-small resonant structures can be used in many of the known applications which now utilize x-rays, with the added advantage that the resulting radiation can be coherent and is non-ionizing.
The use of radiation per se in each of the above applications is not new. But, obtaining that radiation from particular kinds of increasingly small ultra-small resonant structures revolutionizes the way electromagnetic radiation is used in electronic and other devices. For example, the smaller the radiation emitting structure is, the less “real estate” is required to employ it in a commercial device. Since such real estate on a semiconductor, for example, is expensive, an ultra-small resonant structure that provides the myriad application benefits of radiation emission without consuming excessive real estate is valuable. Second, with the kinds of ultra-small resonant structures that we describe, the frequency of the radiation can be high enough to produce visible light of any color and low enough to extend into the terahertz levels (and conceivably even petahertz or exahertz levels with additional advances). Thus, the devices may be tunable to obtain any kind of white light transmission or any frequency or combination of frequencies desired without changing or stacking “bulbs,” or other radiation emitters (visible or invisible).
Currently, LEDs and Solid State Lasers (SSLs) cannot be integrated onto silicon (although much effort has been spent trying). Further, even when LEDs and SSLs are mounted on a wafer, they produce only electromagnetic radiation at a single color. The present devices are easily integrated onto even an existing silicon microchip and can produce many frequencies of electromagnetic radiation at the same time.
Hence, there is a need for a device having a single basic construction that can couple energy from an electromagnetic wave over the full terahertz portion of the electromagnetic spectrum.
As used throughout this document:
The phrase “ultra-small resonant structure” shall mean any structure of any material, type or microscopic size that by its characteristics causes electrons to resonate at a frequency in excess of the microwave frequency.
The term “ultra-small” within the phrase “ultra-small resonant structure” shall mean microscopic structural dimensions and shall include so-called “micro” structures, “nano” structures, or any other very small structures that will produce resonance at frequencies in excess of microwave frequencies.
The invention is better understood by reading the following detailed ion with reference to the accompanying drawings in which:
a) shows a prior art example klystron.
b) shows a prior art example magnetron.
c) shows a prior art example reflex klystron.
d) depicts aspects of the Smith-Purcell theory.
a) is a highly-enlarged perspective view of an energy coupling device showing an ultra-small micro-resonant structure in accordance with embodiments of the present invention;
b) is a side view of the ultra-small micro-resonant structure of
Generally, the present invention includes devices and methods for coupling energy from an electromagnetic wave to charged particles. A surface of a micro-resonant structure is excited by energy from an electromagnetic wave, causing it to resonate. This resonant energy interacts as a varying field. A highly intensified electric field component of the varying field is coupled from the surface. A source of charged particles, referred to herein as a beam, is provided. The beam can include ions (positive or negative), electrons, protons and the like. The beam may be produced by any source, including, e.g., without limitation an ion gun, a tungsten filament, a cathode, a planar vacuum triode, an electron-impact ionizer, a laser ionizer, a chemical ionizer, a thermal ionizer, an ion-impact ionizer. The beam travels on a path approaching the varying field. The beam is deflected or angularly modulated upon interacting with a varying field coupled from the surface. Hence, energy from the varying field is transferred to the charged particles of the beam. In accordance with some embodiments of the present invention, characteristics of the micro-resonant structure including shape, size and type of material disposed on the micro-resonant structure can affect the intensity and wavelength of the varying field. Further, the intensity of the varying field can be increased by using features of the micro-resonant structure referred to as intensifiers. Further, the micro-resonant structure may include structures, nano-structures, sub-wavelength structures and the like. The device can include a plurality of micro-resonant structures having various orientations with respect to one another.
a) is a highly-enlarged perspective-view of an energy coupling device or device 200 showing an ultra-small micro-resonant structure (MRS) 202 having surfaces 204 for coupling energy of an electromagnetic wave 206 (also denoted E) to the MRS 202 in accordance with embodiments of the present invention. The MRS 202 is formed on a major surface 208 of a substrate 210, and, in the embodiments depicted in the drawing, is substantially C-shaped with a cavity 212 having a gap 216, shown also in
Energy from electromagnetic wave 206 is transferred to the surface 204 of the MRS 202. The energy from the wave 218 can be transferred to waves of electrons within the atomic structure on and adjacent to the surface 204 referred to as surface plasmons 220 (also denoted “P” in the drawing). The MRS 202 stores the energy and resonates, thereby generating a varying field (denoted generally 222). The varying field 222 can couple through a space 224 adjacent to the MRS 202 including the space 224 within the cavity 212.
A charged particle source 228 emits a beam 226 of charged particles comprising, e.g., ions or electrons or positrons or the like. The charged particle source shown in
A control electrode 232, preferably grounded, is typically positioned between the cathode 228 and the MRS 202. When the beam 226 is emitted from the cathode 228, there can be a slight attraction by the electrons 230 to the control electrode 232. A portion of the electrons 230 travel through an opening 234 near the center of the control electrode 232. Hence, the control electrode 232 provides a narrow distribution of the beam 226 of electrons 230 that journey through the space 224 along a straight path 236. The space 224 should preferably be under a sufficient vacuum to prevent scattering of the electrons 230.
As shown in
When electrons 230 are in the cavity 212, the varying field 222 formed across the gap 216 provides a changing transverse force {right arrow over (F)} on the electrons. Depending on the frequency of the varying field 222 in relation to the length (L) of the cavity 212, the electrons 230 traveling through the cavity 212 can angularly modulate a plurality of times, thereby frequently changing directions from the forces of the varying field 222. Once the electrons 230 are angularly modulated, the electrons can travel on any one of the plurality of paths generally denoted 238, including a generally sinusoidal path referred to as an oscillating path 242. After exiting the cavity 212, the electrons 230 can travel on another one of the plurality of paths 238 referred to as a new path 244, which is generally straight. Since the forces for angularly modulating the electrons 230 from the varying field 222 are generally within the cavity 212, the electrons 230 typically no longer change direction after exiting the cavity 212. The location of the new path 244 at a point in time can be indicative of the amount of energy coupled from the electromagnetic wave 206. For example, the further the beam 226 deflects from the straight path 236, the greater the amount of energy from the electromagnetic wave 206 transferred to the beam 226. The straight path 236 is extended in the drawing to show an angle (denoted a) with respect to the new path 244. Hence, the larger the angle α the greater the magnitude of energy transferred to the beam 226.
Angular modulation can cause a portion of electrons 230 traveling in the cavity 212 to collide with the MRS 202 causing a charge to build up on the MRS 202. If electrons 230 accumulate on the MRS 202 in sufficient number, the beam 226 can offset or bend away from the MRS 202 and from the varying field 222 coupled from the MRS 202. This can diminish the interaction between the varying field 222 and the electrons 230. For this reason, the MRS 202 is typically coupled to ground via a low resistive path to prevent any charge build-up on the MRS 202. The grounding of the MRS 202 should not be considered a limitation of the present invention.
An external charged particle source 414 targets a beam 416 of charged particles (e.g., electrons) along a straight path 420 through an opening 422 on a sidewall 424 of the device 400. The charged particles travel through a space 426 within the gap 410. On interacting with the varying field 426, the charged particles are shown angularly modulated, deflected or scattered from the straight path 420. Generally, the charged particles travel on an oscillating path 428 within the gap 410. After passing through the gap 410, the charged particles are angularly modulated on a new path 430. An angle β illustrates the deviation between the new path 430 and the straight path 420.
Surfaces of the structures 704, 706 receive the electromagnetic wave 712 (also denoted E). As described with respect to
It should be appreciated that devices having a micro-resonant structure and that couple energy from electromagnetic waves have been provided. Further, methods of angularly modulating charged particles on receiving an electromagnetic wave have been provided. Energy from the electromagnetic wave is coupled to the micro-resonant structure and a varying field is generated. A charged particle source provides a first path of electrons that travel toward a cavity of the micro-resonant structure containing the varying field. The electrons are deflected or angularly modulated from the first path to a second path on interacting with the varying field. The micro-resonant structure can include a range of shapes and sizes. Further, the micro-resonant structure can include structures, nano-structures, sub-wavelength structures and the like. The device provides the advantage of using the same basic structure to cover the full terahertz frequency spectrum.
Although various particular particle sources and types have been shown and described for the embodiments disclosed herein, those skilled in the art will realize that other sources and/or types of charged particles are contemplated. Additionally, those skilled in the art will realize that the embodiments are not limited by the location of the sources of charged particles. In particular, those skilled in the art will realize that the location or source of charged particles need not be on formed on the same substrate or surface as the other structures.
The various devices and their components described herein may be manufactured using the methods and systems described in related U.S. patent application Ser. No. 10/917,571, filed on Aug. 13, 2004, entitled “Patterning Thin Metal Film by Dry Reactive Ion Etching,” and U.S. application Ser. No. 11/203,407, filed on Aug. 15, 2005, entitled “Method Of Patterning Ultra-Small Structures,” both of which are commonly owned with the present application at the time of filing, and the entire contents of each of have been incorporated herein by reference.
Thus are described structures and methods for coupling energy from an electromagnetic wave and the manner of making and using same. While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.
This application is related to and claims priority from U.S. patent application Ser. No. 11/238,991, titled “Ultra-Small Resonating Charged Particle Beam Modulator,” and filed Sep. 30, 2005, the entire contents of which are incorporated herein by reference. This application is related to U.S. patent application Ser. No. 10/917,511, filed on Aug. 13, 2004, entitled “Patterning Thin Metal Film by Dry Reactive Ion Etching,” and U.S. application Ser. No. 11/203,407, entitled “Method Of Patterning Ultra-Small Structures,” filed on Aug. 15, 2005, and U.S. application Ser. No. 11/243,477, titled “Electron Beam Induced Resonance,” and filed on even date herewith, all of which are commonly owned with the present application at the time of filing, and the entire contents of each of which are incorporated herein by reference.
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