Dual-comb spectroscopy
11112310 · 2021-09-07
Assignee
Inventors
Cpc classification
G01J3/42
PHYSICS
G01J9/04
PHYSICS
International classification
Abstract
A gain switched dual comb spectroscopy device for spectroscopically detecting a sample substance, comprising a first slave laser light source configured to generate a first frequency comb having a first comb free spectral range, and a second slave laser light source configured to generate a second frequency comb having a second comb free spectral range which is different from the first comb free spectral range. A master laser light source is configured to inject seed light in to both slave laser light sources therewith to injection lock the generation of both the first and the second frequency combs. A photodetector part is arranged to combine the first and the second frequency combs and to detect a beat signal the spectrum of which comprises a third frequency comb including beat tones produced by interference between the combined first and second frequency combs.
Claims
1. A dual comb spectroscopy device for spectroscopically detecting a sample substance, comprising: a first slave laser light source configured to generate a first optical output, the optical spectrum of which comprises a first frequency comb having a first comb free spectral range; a second slave laser light source configured to generate a second optical output, the optical spectrum of which comprises a second frequency comb having a second comb free spectral range which is different from the first comb free spectral range; a master laser light source comprising a single laser light source configured to inject seed light in to both the first slave laser light source and the second slave laser light source therewith to injection lock said generation of both the first optical output and the second optical output; a photodetector part arranged to combine the first optical output and the second optical output and to detect a beat signal the spectrum of which comprises a third frequency comb including beat tones produced by interference between the combined first and second optical outputs; wherein the device comprises a sample detection area configured for receiving the sample for detection and for directing at least one of the first optical output and the second optical output to the photodetector part via the sample detection area.
2. The device according to claim 1 wherein the beat signal is a radio-frequency, RF, signal the spectrum of which comprises radio-frequency beat tones.
3. The device according to claim 2 wherein the frequency of one of more of said radio-frequency beat tones is a value within one of: the Very High Frequency, VHF, radio frequency band; the High Frequency, HF, radio frequency band; the Medium Frequency, MF, radio frequency band.
4. A remote detector system for remotely detecting a sample substance comprising the device according to claim 2 and a receiver unit remote from the device and including a radio signal receiver unit including a receiver antenna configured to wirelessly receive said RF signal corresponding to said beat signal.
5. The device of claim 1 further comprising: a first arm originating at the first slave laser light source and ending at an optical combiner, a second arm originating at the second slave laser light source and ending at the optical combiner, and a third arm originating at the optical combiner and ending at the photodetector part.
6. The device of claim 5, wherein at least one of the first arm, second arm and third arm are provided by at least one optical fibre.
7. The device of claim 5, wherein either: the first arm includes the sample detection area; the second arm includes the sample detection area; or the third arm includes the sample detection area.
8. The device of claim 7, wherein the arm comprising the sample detection area comprises a first optical path and a second optical path, wherein an end of the first optical path is aligned with an end of the second optical path, and the sample detection area is defined as an area between the aligned ends of the first and second optical paths.
9. The device of claim 1, wherein said first slave laser light source and said second slave laser light source are each configured to generate said first optical output and said second optical output, respectively, by gain switching of a lasing cavity thereof.
10. The device of claim 1, wherein at least one of the first slave laser light source and the second slave laser light source comprises a distributed feedback laser.
11. The device of claim 1, wherein the seed light generated by the master light source is split into a first seed light and a second seed light, wherein the first slave laser light source receives the first seed light and the second slave laser light source receives the second seed light.
12. A dual comb spectroscopy device according to claim 1 further comprising an analyser unit configured to: provide a reference beat signal; determine a difference between the detected beat signal and the reference beat signal; and output a sample analysis result based on the determined difference.
13. The device of claim 12, wherein the analyser unit is arranged to determine a plurality of differences between the detected beat signal and the reference beat signal, and to output one or more sample analysis results based on the determined differences.
14. The device of claim 12, wherein a said difference between the detected beat signal and the reference beat signal comprises a difference in the amplitude of one or more corresponding beat tones thereof.
15. A device according to claim 1 comprising a radio signal transmitter unit including a transmitter antenna configured to wirelessly transmit an RF signal corresponding to said beat signal.
16. The device of claim 1, wherein the first comb repetition frequency differs from the second comb repetition frequency by a frequency difference the value of which is within one of: the Very High Frequency, VHF, radio frequency band; the High Frequency, HF, radio frequency band; the Medium Frequency, MF, radio frequency band.
17. A method of dual comb spectroscopy for spectroscopically detecting a sample substance, comprising: generating a first optical output from a first slave laser light source, the optical spectrum of which comprises a first frequency comb having a first comb free spectral range; generating a second optical output from a second slave laser light source, the optical spectrum of which comprises a second frequency comb having a second comb free spectral range which is different from the first comb free spectral range; injecting seed light from a master laser light source comprising a single laser light source in to both the first slave laser light source and the second slave laser light source therewith to injection lock said generation of both the first optical output and the second optical output; directing at least one of the first optical output and the second optical output through or via the sample substance; combining the first optical output and the second optical output at a photodetector and therewith detecting a beat signal the spectrum of which comprises a third frequency comb including beat tones produced by interference between the combined first and second optical outputs.
18. The method according to claim 17 wherein the beat signal is a radio-frequency, RF, signal the spectrum of which comprises radio-frequency beat tones.
19. The method according to claim 18 comprising wirelessly transmitting an RF signal corresponding to said beat signal.
20. The method according to claim 17, including generating said first optical output and said second optical output, respectively, by applying gain switching to a lasing cavity of said first slave laser light source and said second slave laser light source.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) For a better understanding of the present disclosure reference will now be made to the accompanying drawings, in which:
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DETAILED DESCRIPTION
(16) At least some of the following example embodiments provide an improved device and/or system for sample detection, such as gas detection. An example dual comb spectrometer device is demonstrated which provides enhanced detection sensitivity with minimal physical footprint and low production cost. At least some examples provide improved accuracy and speed of detection. Many other advantages and improvements will be discussed in more detail herein.
(17) Principles of Dual-Comb Spectroscopy
(18) A frequency comb may be regarded as a spectral characteristic of the optical output of a suitably controlled laser source. In particular, the laser source may be suitably controlled to generate an optical output whose spectrum consists of a series of discrete, equally spaced (in frequency) spectral lines. Frequency combs can be generated by periodic modulation of the amplitude or phase of a continuous-wave laser, as is known in the art. Alternative methods for generating frequency combs include the use of four-wave mixing in nonlinear media, or via a mode-locked laser.
(19) A laser running on multiple modes (each having a mode frequency), may provide a pulsed laser output. That is to say, when the modes sum within the laser cavity the result is a pulse of laser light of short time duration: the more modes that contribute, the shorter the pulse duration. By configuring the laser to generate multiple single time-spaced pulses, mutually separated in time by an interval T seconds, the laser output becomes a train of discrete, short laser pulses:
(20)
Here, E.sub.single (t) is the electric field of a given single pulse. In the limit of a large number of successive such pulses, the intensity of this pulse train is given by:
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Here ω is the angular frequency associated with the single pulse, E.sub.single (t). This defines a spectral comb with comb tones separated, each one from its neighbour, by a frequency value equal to the pulse repetition rate: f.sub.r=1/T.
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(23) Here, a first frequency comb 101 is provided with a specific free spectral range f.sub.r. Typically, the free spectral range, will be in the gigahertz range for gas sampling applications. For example, the repetition rate may be any value equal to or less than about 10 GHz, such as in the range of 0.01 GHz to 10 GHz, preferably. This has been found to provide a good number of beat tones. A second frequency comb 102 is provided having a free spectral range of f.sub.r+Δf.sub.r. The difference in free spectral range between the first frequency comb 101 and second frequency comb 102, Δf.sub.r, may be of the order of kilohertz, such as 100 kHz. The two frequency combs 101, 102 may be provided by two separate lasers each at different respective laser pulse repetition rates.
(24) One of the frequency combs, in this case, the first comb 101, is arranged to interact with a sample under investigation (e.g. a gas) while the other, here the second comb 102, does not. In the example of
(25) Thus the first frequency comb 101 provides an absorption spectrum for the sample. Historically such a spectrum would be recorded and analysed in isolation.
(26) In dual comb spectroscopy however the (usually un-modified) second frequency comb 102 is combined with the modified first frequency comb 101′. This photo-mixing of the modified first frequency comb and the un-modified second frequency comb (101′, 102) results in a beat frequency signal 103 that has a lower comb repetition rate than either the first or second frequency combs 101, 102. In other words, interference of the modified first frequency comb and the un-modified second frequency comb (101′, 102) results in a third frequency comb 103 which has a repetition rate equal to the difference in comb repetition between the interfering first and second frequency combs 101′, 102. The third frequency comb, according to preferred embodiments of the invention, is at a frequency in the RF domain. The beat signals produced by dual comb spectroscopy are often referred to as heterodyne signals by the field at large.
(27) In particular, consider the electric field E.sub.1(t) associated with a comb tone (at frequency f.sub.1) of the first frequency comb, combined with the electric field E.sub.2(t) associated with a comb tone (at frequency f.sub.2) of the second frequency comb, where:
E.sub.1(t)=a.sub.1 exp[iω.sub.1t−k.sub.1x]
E.sub.2(t)=a.sub.2 exp[iω.sub.2t−k.sub.2x]
The combined electric field is:
|E.sub.1(t)+E.sub.2(t)|.sup.2=|a.sub.1 exp[iω.sub.1t−k.sub.1x]+a.sub.2 exp[iω.sub.2t−k.sub.2x]|.sup.2
Which shows that:
|E.sub.1(t)+E.sub.2(t)|.sup.2˜A cos[(ω.sub.2−ω.sub.1)t]=A cos[(f.sub.2−f.sub.1)2πt]
Thus, the tone produced in the third frequency comb, by interference between two closely adjacent tones of the first and second frequency combs, is located at a frequency given by the frequency difference (f.sub.2−f.sub.1) of the two interfering tones. This applies separately to each pair of interfering tones of the modified first frequency comb and the un-modified second frequency comb, in generating a respective tone of the third frequency comb.
(28) Importantly, there is a mapping between the high frequency optical signals produced by the modified first frequency comb and the un-modified second frequency comb (101′, 102) and the resulting heterodyne signal 103. In other words, a tone of the beat signal 103 is map-able to a tone of the frequency comb which propagates through the sample.
(29) In this way absorption features which manifest in the third frequency comb 103, as shown by ‘A’ in
(30) A Dual-Comb Spectroscopy Device
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(32) The first slave laser light source 201 is configured to generate a first optical output. The optical spectrum of the first optical output comprises a first frequency comb 101 having a first comb free spectral range f.sub.1. The second slave laser light source 202 is configured to generate a second optical output. The optical spectrum of the second optical output comprises a second frequency comb 102 having a second comb free spectral range which is different from the first comb free spectral range f.sub.2. The difference between the comb free spectral ranges f.sub.1−f.sub.2 is Δf.sub.r, as discussed above in relation to
(33) Preferably the first and second optical outputs are generated in the infra-red electromagnetic band. Also preferably the first comb free spectral range f.sub.1 differs from the second comb free spectral range f.sub.2 by a frequency difference value within one of: the Very High Frequency, VHF, radio frequency band; the High Frequency, HF, radio frequency band; the Medium Frequency, MF, radio frequency band.
(34) Suitably the first slave laser light source 201 and second slave laser light source 202 generate laser emissions in pulses, and the generated first frequency comb 101 and second frequency comb 102 are both contained within a Fourier spectrum (frequency spectrum) of the sequence of pulses output by the respective slave laser light source 201, 202. Preferably generation of a laser pulse by the first and/or second slave laser light source 201, 202 is achieved through gain switching of a laser cavity of the respective slave laser source.
(35) Suitably one or both of the slave laser sources 201, 202 may be provided as a distributed feedback laser. Distributed feedback lasers are a particular type of Fabry-Perot etalon laser source, and so alternative laser sources of this form would also be suitable. However, in general, any laser source capable of generating a frequency comb would be appropriate for use.
(36) The master laser light source 203 is configured to inject seed light in to both the first slave laser light source 201 and the second slave laser light source 202. The seed light is used to injection lock the generation of the first and second optical outputs by the first and second slave laser light sources 201, 202. In this way the generation of the two frequency combs 101, 102 is synchronised.
(37) Injection locking forces the two slave laser sources 201, 202 to lase at the same central optical frequency and also generate laser emissions that are in phase with each other. In other words, the two slave laser sources are configured to generate laser emission with the same central wavelength and the first and second frequency combs 101, 102 will be in phase. In addition, injection locking advantageously produces laser emission with low noise, and it has been found that phase locking the first and second slave laser sources 201 and 202 (frequency combs 101, 102) provides higher resolution and spectral sensitivity.
(38) The sample detection area 204 is configured to receive a sample for detection, such as a gas, and is positioned such that at least one of the first optical output and second optical output is directed through the sample detection area 204 before being output to the photodetector part 205. In other words, at least one of the first frequency comb 101 and second frequency comb 102 propagate through the sample detection area 204, which in the example of
(39) The photodetector part 205 is arranged to combine the first optical output and the second optical output. In other words, the photodetector part is arranged to combine and detect the modified first frequency comb 101′ and the second frequency comb 102. As discussed above in relation to
(40) In general, for optical frequency outputs from the first and second laser light sources 201, 202, the resultant beat signal will be in the radio frequency electromagnetic range. This is enabled by ensuring that f.sub.1−f.sub.2=Δf.sub.r is a radio-frequency value. For example, the frequency of one of more of the radio-frequency beat tones of the beat signal preferably is a value within one of: the Very High Frequency, VHF, radio frequency band; the High Frequency, HF, radio frequency band; the Medium Frequency, MF, radio frequency band.
(41) Normally a spectrum which is recorded in the optical frequency range—i.e. the frequency of operation of the first and second slave laser light sources 201, 202—would require expensive optical (IR) detectors to analyse. Advantageously an optical spectra produced by a frequency comb propagating through a sample may instead be downscaled to the radio frequency range via the beating effect with the second frequency comb. Low bandwidth (radio frequency) detectors are much cheaper to produce than Fourier transform specrometers, and suitably the photodetector part 205 may be preferably configured to detect signals particularly in the radio frequency band.
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(43) One way to divide the seed light generated by the single master laser light source 203 is to use of a 50/50 beam splitter or divider 306. Alternative methods, such as a partial mirror, or beam splitter may be used instead.
(44) In the example of
(45) In the example shown, the first optical output initially propagates along the first arm 308 and the second optical output initially propagates along the second arm 309. At the optical combiner 307 the two optical outputs are directed toward the photodetector part 205, whereby the constituent frequency combs are combined to produce a beat signal 103 as before.
(46) The first, second and third arms 308-310 may be realised using optical fibre, or an optical waveguide such as in an integrated photonic chip. Preferably all the arms are provided by optical fibre or waveguide although it will be appreciated that a combination of optical fibre and/or waveguide and other optical instruments may be used to provide one or more of the first, second and third arms 308-310. In other words at least one of the first arm 308, second arm 309 and third arm 310 may be provided by optical fibre or waveguide. It will also be appreciated that this could be a single length of optical fibre or waveguide or multiple separate lengths joined together.
(47) As shown in
(48) The sample detection area 204 may be regarded as separating the arm 308-310 in which it is placed into two optical paths: before and after the sample detection area 204. For example, where the relevant arm is the first arm 308, the first arm 308 may be regarded as comprising a first optical path 308′ and a second optical path 308″, wherein an end of the first optical path 308′ is aligned with an end of the second optical path 308″, and the sample detection area 204 is defined as an area between the aligned ends of the first and second optical paths 308′, 308″.
(49) When the sample detection area 204 is part of the first arm 308 then the first frequency comb 101 may regarded as a probe comb and the second frequency comb 102 as the reference comb. Vice versa the second frequency comb 102 will be the probe comb and the first frequency comb 101 the reference comb when the sample detection area 204′ is part of the second arm 309. When the sample detection area 204″ is part of the third arm both frequency combs 101, 102 are regarded as probe combs and there is no specific reference comb.
(50) A probe comb passing through a sample placed in the sample detection area 204 or 204′ will be modified in amplitude and phase compared to the reference comb. Thus the detector 205 may be configured to detect both the phase and amplitude of the received beat signal 103. When the sample detection area 204″ is configured as part of the third arm 310 then there will be no relative phase difference in the signal detected by the photodetector part 205 because both the first and second frequency comb will be phase shifted in the same manner by the sample.
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(52) The analyser unit 411 is configured to take the signal from the photodetector part 205 and analyses the detected beat (spectral) signal 103 to determine a difference between the detected beat signal 103 and the reference beat signal 412. Based on any determined differences, the analyser unit 411 is configured to output a sample analysis. For example, when the sample is a gas, the analyser unit may determine the presence of that gas by its absorption effect upon the detected beat tones.
(53) Different elements/substances present in the sample detection area 204 will modify the input frequency comb on different tones. As such the analyser unit 411 is configurable to determine the presence of substances/elements (e.g. gasses) from the detected difference between the spectral beat signal 103 and the reference beat signal 412. That is the analyser unit 411 is arranged to determine a plurality of differences between the detected beat signal and the reference beat signal, and to output one or more sample analysis results based on the determined differences.
(54) Suitably, because a difference in the beat signal 103 compared to the reference signal 411 will manifest (at least partly) as a difference in amplitude on one or more of the corresponding beat tones, the analyser unit 411 is configured to output a sample result based on a determined difference in tonal amplitude.
(55) For many applications it will be desirable for an operator of the dual-comb spectroscopy device 200 to be remote from the device itself. Thus, while in the above Figures the dual-comb spectroscopy device has been discussed with an implicit compactness, it will be appreciated that the device 200 may be modified to provide such remote usage. For example, the first and second arms 308 and 309 may be arranged to involve long distance (e.g. kilometres of) optical fibre. It would also be appropriate to introduce any length of electronic wire between the detector 205 and analyser unit 411, such that the device as described in
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(57) As shown in
(58)
(59) The system 500 of
(60) In the present example gas cells 616 are being transported by ships at sea 617, and emissions from those gas cells are monitored by a regulatory control tower 618 on land. In other words, in the present example the receiver unit 515 and analyser unit 411 are remote from the device 200. More specifically the receiver unit 515 and analyser unit 411 do not reside on the vessel 617, and the dual comb spectroscopy device 200 is placed within a gas cell 616 to detect the ambient gas.
(61) Thus, dual-comb spectroscopy devices may be manufactured according to
(62) As alluded to above, a major benefit of the proposed device is that it is easy to manufacture cheaply in large quantities. Suitably the dual-comb spectroscopy device of the present disclosure may be manufactured as a single chip.
(63) As will be evident from the discussion herein, the dual comb spectroscopy device of the present disclosure is capable of detecting and monitoring trace gases with high sensitivity in real world applications. The described device is cheap to manufacture and is therefore suitable for deployment in high degradation environments.
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(65) The master laser light source is configured to provide its optical output for use as seed light to inject into both of the first and second slave laser light sources simultaneously, therewith to injection-lock the optical output generated by the first slave laser and the second slave laser, to the same master laser. Both the first slave laser and the second slave laser are controlled by a process of gain-switching, using a high-power RF signal, to generate two coherent optical combs simultaneously. Due to the injection-locking by the master laser, the two optical combs are caused to be coherent.
(66) The free spectral range (f.sub.r) of the optical comb generated by the first slave laser (see
(67) The first optical path and the second optical path extend to a second optical coupler 709 arranged to combine the first optical comb (which may be modified by interaction with gas in the gas cell 707) and the second optical comb in equal proportion for onward transmission along a third optical path towards a photodetector 710. Upon reaching the photodetector, the combined first optical comb (modified) and the second optical comb (see
(68) The modified first optical comb when viewed in the frequency domain (
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(71) The combined optical output 911 from the first optical coupler (combiner) is directed into a gas cell 909 containing a gas to be spectroscopically sampled. Upon passing through the gas cell, the first and second optical combs are subsequently input to a third optical coupler 912 arranged to combine the optical output from the gas cell with the 50% of the intensity of the second optical comb within the separate optical path 910 emanating from the second optical coupler 908. These combined optical inputs interfere to form beat tones on a photodetector 913, and these beat tones are spectroscopically analysed by an electrical spectrum analyser 914, in the manner described above and with reference to
(72)
(73) Once more, the free spectral range of the second slave laser is controlled so as to be slightly different from the free spectral range of the first slave laser (see
(74) The optical output of the master laser 1018 is optically coupled to an optical input port of an optical coupler 1019 configured to split the input received light into two portions of equal intensity (50%/50% split), and to output each of the two equal portions on separate respective optical outputs of the optical coupler thereby to provide two separate seed light signals (1020, 1021) for input, respectively, to the first slave laser 1004 and the second slave laser 1026. Each one of the two seed light signals is directed through a respective variable optical attenuator (VOA: 1035, 1022) arranged in optical communication between the master laser and the respective first and second slave lasers. These attenuators permit fine adjustment of the intensity of seed light input to a respective slave laser. The optical output port of each of the variable optical attenuators is optically coupled to a first input port of a respective optical circulator (1005, 1024) each configured with three optical ports. The second optical port (1007, 1029) of each optical circulator is optically coupled to a respective one of the first slave laser and the second slave laser (1004, 1026) for permitting injection of seed light into the slave laser thereby enabling injection-locking and causing the first and second optical combs of the first and second slave lasers to be coherent.
(75) Furthermore, the second optical port (1007, 1029) of each of the first and second optical circulators is also configured to receive into the optical circulator, the first or second optical comb, respectively, from the slave laser to which it is optically coupled. Each optical circulator further comprises a third optical port (1008, 1031) configured to output a received optical comb from the respective optical circulator for on the transmission through the spectrometer.
(76) Each of the first and second slave lasers (1004, 1026) takes the form, in this example, of a Fabry-Perot laser driven by a respective voltage oscillator power source (1001, 1028) a process of gain switching. The oscillating voltage signal from the respective voltage power source first passes through an electrical low-pass filter (ELPF: 1002, 1027) designed to remove high-frequency not components from the voltage signal, and subsequently passes through an amplifier (RF Amp: 1003, 1025) configured to amplify the filtered, oscillating voltage signal immediately prior to input to the respective first or second slave laser.
(77) The drive frequency of the oscillating voltage signal 1001 configured to drive the first slave laser is, in this example, 2.5 GHz whereas the drive frequency of the oscillating voltage signal 1028 configured to drive the second slave laser is 2.554 GHz. The difference in frequency is 0.054 GHz, and this frequency difference results in the difference in the free spectral range of the first optical comb relative to the second optical comb.
(78) The third output port of the optical circulator optically coupled to the first slave laser, is optically coupled to the input port of an optical bandpass filter 1010 configured to pass a selected frequency range of the comb components within the first optical comb, and to output the result to a semiconductor optical amplifier (SOA: 1011) configured to optically amplify the filtered first optical comb and to output the result to a gas chamber 1012 containing a simple gas to be detected or analysed spectroscopically.
(79) Concurrently, the third optical output port of the optical circulator optically coupled to the second slave laser, is optically coupled to the input port of a polarisation controller 1032 arranged to adjust the polarisation state of the photons of the second optical, as appropriate or desirable. The optical output port of the gas chamber 1012 and the optical output port of the polarisation controller 1032 is each coupled to a respective one of two optical input ports of an optical combiner 1013 configured to combine the first and second optical combs received by it, and to split the combined optical signal in equal proportion (50%/50%) such that one half of the combined is directed to a photodetector 1014 which is configured to operate at a signal detection rate of the difference frequency (e.g. 20 GHz, or more preferably <10 GHz, such as 100s of MHz). The electrical output of the photodetector is coupled to the electrical signal input port of an electrical spectrum analyser (ESA: 1016) via an electrical amplifier (RF Amp: 1015).
(80) The optical spectrum shown as an inset in
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(83) The line width of the master laser, according to any embodiment, is preferably no greater than 1 MHz, and is more preferably no greater than 100 kHz. The line width of the master laser is selected so that the concurrent seed light signals input to the first and second slave lasers by the master laser causes the slave lasers to produce phase-coherent optical outputs by the process of injection locking. The line width of the master laser is as small as necessary to achieve a correlation length which is equal to or greater than the optical path length between the master laser and the slave laser into which seed light is input. The seed light input to the first slave laser remains phase-coherent with the seed light input to the second slave laser at the point of respective input. This correlates the phases of the first and second slave lasers, and promotes cleaner (less noisy) radio frequency combs (beat tone spectrum) which are phase correlated.
(84) Although preferred embodiment(s) of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes may be made without departing from the scope of the invention as defined in the claims.
(85) Various embodiments of the invention are described above in the Detailed Description. While these descriptions directly describe the above embodiments, it is understood that those skilled in the art may conceive modifications and/or variations to the specific embodiments shown and described herein. Any such modifications or variations that fall within the purview of this description are intended to be included therein as well. Unless specifically noted, it is the intention of the inventor that the words and phrases in the specification and claims be given the ordinary and accustomed meanings to those of ordinary skill in the applicable art(s).
(86) The foregoing description of preferred embodiments and best mode of the invention known to the applicant at this time of filing the application has been presented and is intended for the purposes of illustration and description. It is not intended to be exhaustive or limit the invention to the precise form disclosed and many modifications and variations are possible in the light of the above teachings. The embodiments were chosen and described in order to best explain the principles of the invention and its practical application and to enable others skilled in the art to best utilize the invention in various embodiments and with various modifications as are suited to the particular use contemplated. Therefore, it is intended that the invention not be limited to the particular embodiments disclosed for carrying out this invention, but that the invention will include all embodiments falling within the scope of the appended claims.
(87) The previous description of the disclosed exemplary embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these exemplary embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.