Disclosure of Invention
The invention provides a film bulk acoustic resonator and a preparation method thereof, which are used for reducing the problem of outwards propagation and leakage of transverse wave energy and improving the Q value of the resonator.
According to an aspect of the present invention, there is provided a thin film bulk acoustic resonator, the resonator comprising a resonance region and an edge region surrounding the resonance region, the resonance region comprising a substrate, a cavity, a bottom electrode, a piezoelectric layer and a top electrode which are sequentially stacked; the first surface of the substrate adjacent to the bottom electrode is a plane; the part outside the top electrode of the resonator is an edge area, the edge area comprises a supporting part supported on the first surface of the substrate and a suspension part positioned between the supporting part and the resonance area, and the supporting part and the suspension part both comprise piezoelectric layers;
the suspension portion further includes a first protrusion having a surface adjacent the substrate at a distance from the first surface of the substrate that is less than a distance between the surface of the other region of the suspension portion adjacent the substrate and the first surface of the substrate; and the surface of the suspension adjacent the substrate is not in contact with the first surface of the substrate.
Optionally, the bottom electrode is only disposed in the resonance region;
alternatively, the edge region further comprises a bottom electrode, and extends from the resonance region to an edge of the edge region away from the resonance region;
alternatively, the suspending portion further includes a bottom electrode extending to an edge of the first protruding portion adjacent to one side of the resonance region.
Optionally, the edge region further includes a second protruding portion located at a side of the supporting portion away from the resonance region, and a supporting layer is disposed between the second protruding portion and the substrate.
Optionally, the surface of the first protrusion adjacent to the substrate is 1-1.5 μm away from the first surface of the substrate;
the distance between the surface of the floating part adjacent to the substrate and the first surface of the substrate except the first protruding part is 2-3 μm;
the width of the first protruding portion and the width of the supporting portion are both 5-10 μm along the direction in which the resonance region points to the edge region.
Optionally, the piezoelectric layer further comprises a release hole;
the release hole is arranged on the first protruding part of the suspension part, or the release hole is arranged between the first protruding part and the supporting part;
the release hole penetrates the piezoelectric layer and the bottom electrode in the thickness direction of the piezoelectric layer.
Optionally, the material of the piezoelectric layer includes at least one of polycrystalline or monocrystalline materials of AlN, alScN, liNbO and LiTaO3, and ferroelectric monocrystalline materials;
the materials of the bottom electrode and the top electrode each include at least one of molybdenum, tungsten, platinum, and gold.
According to another aspect of the present invention, there is provided a method of manufacturing a thin film bulk acoustic resonator, the resonator including a resonance region and an edge region, comprising:
providing a substrate; the first surface of the substrate is a plane;
a sacrificial layer is arranged on the first surface of the substrate, a first groove and a second groove are formed on the sacrificial layer, the first groove and the second groove are located in the edge area, the first groove is arranged on one side, away from the resonance area, of the second groove, the first groove penetrates through the sacrificial layer, and the depth of the second groove is smaller than the thickness of the sacrificial layer;
sequentially forming a bottom electrode, a piezoelectric layer and a top electrode on the sacrificial layer; the resonator comprises a substrate, a sacrificial layer, a bottom electrode, a piezoelectric layer and a top electrode, wherein the substrate, the sacrificial layer, the bottom electrode, the piezoelectric layer and the top electrode are sequentially stacked, the part outside the top electrode of the resonator is an edge region, the edge region comprises a supporting part supported on the first surface of the substrate and a suspension part positioned between the supporting part and the resonance region, and the supporting part and the suspension part both comprise the piezoelectric layer; the suspension portion further includes a first protrusion, a distance between a surface of the first protrusion adjacent to the substrate and the first surface of the substrate being smaller than a distance between a surface of the other region of the suspension portion adjacent to the substrate and the first surface of the substrate, the surface of the suspension portion adjacent to the substrate being not in contact with the first surface of the substrate; the supporting part is positioned in the first groove, and the first protruding part is positioned in the second groove;
the sacrificial layer is removed and a cavity is formed in the resonator between the bottom electrode and the substrate.
Optionally, sequentially forming the bottom electrode, the piezoelectric layer, and the top electrode on the sacrificial layer includes:
forming a first electrode layer in the resonance region and the edge region;
removing the first electrode layer positioned on one side of the boundary, adjacent to the resonance region, of the second groove and away from the resonance region to form a bottom electrode;
forming a piezoelectric layer on the surface of the bottom electrode;
forming a second electrode layer on the surface of the piezoelectric layer;
and removing the second electrode layer outside the resonance region to form a top electrode.
Optionally, sequentially forming the bottom electrode, the piezoelectric layer, and the top electrode on the sacrificial layer includes:
forming a bottom electrode and a piezoelectric layer in the resonance region and the edge region;
forming a second electrode layer on the surface of the piezoelectric layer;
and removing the second electrode layer outside the resonance region to form a top electrode.
Optionally, disposing a sacrificial layer on the substrate includes:
depositing a first sacrificial layer on a substrate;
etching the first sacrificial layer to form a third groove, wherein the depth of the third groove is equal to the thickness of the first sacrificial layer;
depositing a second sacrificial layer on the first sacrificial layer, and removing the second sacrificial layer at the third groove to form a first groove;
etching the second sacrificial layer on one side of the first groove adjacent to the resonance area to form a second groove;
alternatively, disposing a sacrificial layer on the substrate, comprising:
a sacrificial layer is deposited over the substrate,
etching the sacrificial layer to form a first groove;
and etching the sacrificial layer on one side of the first groove adjacent to the resonance area to form a second groove.
The thin film bulk acoustic resonator provided by the technical scheme of the embodiment of the invention comprises a resonance area and an edge area surrounding the resonance area, wherein the resonance area comprises a substrate, a cavity, a bottom electrode, a piezoelectric layer and a top electrode which are sequentially laminated; the first surface of the substrate adjacent to the bottom electrode is a plane; the part outside the top electrode of the resonator is an edge area, the edge area comprises a supporting part supported on the first surface of the substrate and a suspension part positioned between the supporting part and the resonance area, and the supporting part and the suspension part both comprise piezoelectric layers; the suspension portion further includes a first protrusion having a surface adjacent the substrate at a distance from the first surface of the substrate that is less than a distance between the surface of the other region of the suspension portion adjacent the substrate and the first surface of the substrate; and the surface of the suspension adjacent the substrate is not in contact with the first surface of the substrate. According to the film bulk acoustic resonator provided by the invention, the supporting part and the suspending part (comprising the first protruding part) are arranged in the edge area, so that the impedance value of the resonator at the parallel resonant frequency is improved, the supporting part and the first protruding part can reflect the transverse acoustic wave propagating along the resonator plane for multiple times, the problem that the transverse acoustic wave energy of the traditional film bulk acoustic resonator leaks to the substrate can be effectively solved, and the Q value of the resonator is greatly improved.
It should be understood that the description in this section is not intended to identify key or critical features of the embodiments of the invention or to delineate the scope of the invention. Other features of the present invention will become apparent from the description that follows.
Detailed Description
In order that those skilled in the art will better understand the present invention, a technical solution in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in which it is apparent that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present invention without making any inventive effort, shall fall within the scope of the present invention.
It should be noted that the terms "first," "second," and the like in the description and the claims of the present invention and the above figures are used for distinguishing between similar objects and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used may be interchanged where appropriate such that the embodiments of the invention described herein may be implemented in sequences other than those illustrated or otherwise described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
Example 1
An embodiment of the present invention provides a thin film bulk acoustic resonator, and fig. 2 is a schematic structural diagram of a thin film bulk acoustic resonator provided in the first embodiment of the present invention, referring to fig. 2, the resonator includes a resonance region 50 and an edge region 60 surrounding the resonance region 50, and the resonance region 50 includes a substrate 10, a cavity 11, a bottom electrode 20, a piezoelectric layer 30, and a top electrode 40 that are sequentially stacked; the first surface of the substrate 10 adjacent to the bottom electrode 20 is planar; the portion other than the resonator top electrode 40 is an edge region 60, the edge region 60 including a support portion 31 supported on the first surface of the substrate 10 and a suspended portion 32 located between the support portion 31 and the resonance region 50, the support portion 31 and the suspended portion 32 each including the piezoelectric layer 30; the suspension 32 further includes a first protrusion 33, a distance between a surface of the first protrusion 33 adjacent to the substrate 10 and the first surface of the substrate 10 being smaller than a distance between a surface of the other region of the suspension 32 adjacent to the substrate 10 and the first surface of the substrate 10; and the surface of the suspended portion 32 adjacent to the substrate 10 is not in contact with the first surface of the substrate 10.
Wherein the material of the substrate 10 may be glass, alumina (Al 2 O 3 ) Or high resistance silicon, may prevent electric leakage or interference of the bottom electrode 20, and the materials of the bottom electrode 20 and the top electrode 40 may be metal materials, and may be, for example, molybdenum, tungsten, platinum, and gold. The thickness of the piezoelectric layer 30 is uniformly arranged in the direction in which the top electrode 40 is directed toward the bottom electrode 20, and the thickness is uniform at each location, so that if there is a protrusion on the first surface of the piezoelectric layer 30 adjacent to the bottom electrode 20, there is the same recess at the corresponding location on the second surface of the piezoelectric layer 30 away from the bottom electrode 20.
The thin film bulk acoustic resonator operates on the principle that when alternating voltages are applied to the bottom electrode 20 and the top electrode 40 of the resonator, the piezoelectric layer 30 generates an inverse piezoelectric effect, and in this process, the piezoelectric layer 30 contracts and expands and deforms according to the change of the alternating electric field, and this periodic deformation forms periodic vibration, which excites bulk acoustic waves, and when the frequency of the excited bulk acoustic waves is the same as the resonance frequency of the resonance region 50 determined by the total thickness of the bottom electrode 20, the piezoelectric layer 30 and the top electrode 40, resonance is formed. Fig. 3 is a simulated impedance diagram of a conventional film bulk acoustic resonator, referring to fig. 3, the abscissa is frequency, and the ordinate is impedance value, so that it can be seen that the impedance value of the conventional film bulk acoustic resonator at the parallel resonant frequency is 2187 Ω, and fig. 4 is a simulated impedance diagram of the film bulk acoustic resonator provided by the first embodiment of the present invention, referring to fig. 4, it can be seen that the impedance value of the film bulk acoustic resonator at the parallel resonant frequency is 2708 Ω in the embodiment of the present invention, compared with the conventional film bulk acoustic resonator structure, the impedance value is obviously improved, which indicates that the structure of the film bulk acoustic resonator in the embodiment of the present invention effectively reduces leakage of transverse wave energy, and is helpful for improving the Q value of the resonator. The Q value is an important index for evaluating the performance of the resonator, and the conventional FBAR resonator suffers from interference of transverse parasitic clutter on the electrical characteristics of the resonator, so that the Q value of the FBAR resonator is reduced, and the quality of the high-frequency FBAR resonator is greatly affected.
The thin film bulk acoustic resonator provided by the technical scheme of the embodiment of the invention comprises a resonance area 50 and an edge area 60 surrounding the resonance area 50, wherein the resonance area 50 comprises a substrate 10, a cavity 11, a bottom electrode 20, a piezoelectric layer 30 and a top electrode 40 which are sequentially stacked; the first surface of the substrate 10 adjacent to the bottom electrode 20 is planar; the portion other than the resonator top electrode 40 is an edge region 60, the edge region 60 including a support portion 31 supported on the first surface of the substrate 10 and a suspended portion 32 located between the support portion 31 and the resonance region 50, the support portion 31 and the suspended portion 32 each including the piezoelectric layer 30; the suspension 32 further includes a first protrusion 33, a distance between a surface of the first protrusion 33 adjacent to the substrate 10 and the first surface of the substrate 10 being smaller than a distance between a surface of the other region of the suspension 32 adjacent to the substrate 10 and the first surface of the substrate 10; and the surface of the suspended portion 32 adjacent to the substrate 10 is not in contact with the first surface of the substrate 10. According to the film bulk acoustic resonator provided by the invention, the supporting part 31 and the suspending part 32 (comprising the first protruding part 33) are arranged in the edge region 60, so that the impedance value of the resonator at the parallel resonance frequency is improved, the supporting part 31 and the first protruding part 33 can reflect transverse acoustic waves propagating along the resonator plane for multiple times, the problem that transverse acoustic wave energy of the traditional film bulk acoustic resonator leaks to the substrate can be effectively solved, and the Q value of the resonator is greatly improved.
Alternatively, the bottom electrode 20 is disposed only in the resonance region 50; alternatively, referring to fig. 2, the edge region 60 further includes the bottom electrode 20, and extends from the resonance region 50 to an edge of the edge region 60 remote from the resonance region 50; alternatively, fig. 5 is a schematic structural diagram of yet another film bulk acoustic resonator according to a first embodiment of the present invention, and referring to fig. 5, the suspended portion 32 further includes a bottom electrode 20, and the bottom electrode 20 extends to an edge of the first protruding portion 33 adjacent to a side of the resonance region 50.
The edge region 60 further includes the bottom electrode 20, and extends from the resonance region 50 to the edge of the edge region 60 away from the resonance region 50, so that the bottom electrode 20 can be directly deposited on the whole surface, and the process is simple.
The bottom electrode 20 may be disposed only in the resonance region 50 by etching the bottom electrode 20 of the edge region, or the bottom electrode 20 may be extended to an edge of the first protrusion 33 adjacent to one side of the resonance region 50, and removing the bottom electrode 20 under the support portion 31 and the suspended portion 32 may ensure uniformity of crystallization of the piezoelectric layer 30, thereby increasing the strength of the resonator edge region 60. Since the crystal orientation tends to be perpendicular to the electrode surface when the piezoelectric layer 30 is grown, the electrodes under the supporting portion 31 and the suspending portion 32 are liable to cause the occurrence of defects in the piezoelectric layer 30.
Optionally, fig. 6 is a schematic structural diagram of still another film bulk acoustic resonator according to the first embodiment of the present invention, and referring to fig. 6, the edge region 60 further includes a second protruding portion located on a side of the supporting portion 31 away from the resonance region 50, and a supporting layer 70 is disposed between the second protruding portion and the substrate 10.
The material of the support layer 70 may be silicon dioxide.
Specifically, a sacrificial layer may be provided on the first surface of the substrate 10, and the bottom electrode 20, the piezoelectric layer 30, and the top electrode may be formed on the sacrificial layer, and then the sacrificial layer may be removed. The sacrificial layer between the second protruding portion of the support portion 31 on the side away from the resonance region 50 and the substrate 10, that is, the support layer 70 may not be removed.
Alternatively, referring to fig. 5, the distance S1 between the surface of the first protrusion 33 adjacent to the substrate 10 and the first surface of the substrate 10 is 1 to 1.5 μm; the distance S2 between the surface of the suspended portion 32 adjacent to the substrate 10 and the first surface of the substrate 10 except for the first protruding portion 33 is 2 to 3 μm; the width S3 of the first projection and the width S4 of the support are both 5-10 μm in the direction in which the resonance region points to the edge region.
Wherein, the distance S1 between the surface of the first protruding part 33 adjacent to the substrate 10 and the first surface of the substrate 10, and the distance S2 between the surface of the floating part 32 adjacent to the substrate 10 and the first surface of the substrate 10 except for the first protruding part 33 are determined by the thickness of the sacrificial layer. The first protruding portion 33 and the supporting portion 31 are each formed by providing a groove on the sacrificial layer, and the width S3 of the first protruding portion 33 and the width S4 of the supporting portion 31 are determined by the etching width of the groove.
Optionally, the piezoelectric layer further includes a release hole, where the release hole is disposed on the first protruding portion of the suspension portion, or fig. 7 is a schematic structural diagram of yet another film bulk acoustic resonator according to the first embodiment of the present invention, and referring to fig. 7, the release hole 80 is disposed between the first protruding portion 33 and the supporting portion 31; the release hole 80 penetrates the piezoelectric layer 30 and the bottom electrode 20 in the thickness direction of the piezoelectric layer 30.
The supporting portion 31 and the first protruding portion 33 can reflect the transverse sound wave propagating along the resonator plane for multiple times due to the difference of acoustic impedances in the thickness direction, so that the problem that the transverse sound wave energy of the traditional film bulk acoustic resonator leaks to the substrate can be effectively solved, and the Q value of the resonator is greatly improved. In the resonator structure forming process, it is necessary to provide a sacrificial layer on the first surface of the substrate 10, and form the bottom electrode 20, the piezoelectric layer 30, and the top electrode 40 on the sacrificial layer, the sacrificial layer may be removed by etching the release hole 80 formed by the piezoelectric layer 30 and the bottom electrode 20, and after the sacrificial layer is removed, a cavity may be formed between the substrate 10 and the bottom electrode 20.
Optionally, the material of the piezoelectric layer includes at least one of polycrystalline or monocrystalline materials of AlN, alScN, liNbO and LiTaO3, and ferroelectric monocrystalline materials; the material of the bottom electrode and the top electrode may be at least one of molybdenum, tungsten, platinum, and gold.
Among them, alN, alScN, liNbO and LiTaO3 are polycrystalline or monocrystalline materials, the piezoelectric performance is better, the process is mature, but In order to improve that the electromechanical coupling coefficient of the traditional piezoelectric layer material can not meet the requirement of larger bandwidth, the piezoelectric layer can also adopt ferroelectric monocrystal with high piezoelectric coefficient, and for example, PMN-PT monocrystal with indium (In) doped composite perovskite structure can be adopted.
Example two
The embodiment of the invention provides a method for manufacturing a film bulk acoustic resonator on the basis of the above embodiment, and fig. 8 is a flowchart of a method for manufacturing a film bulk acoustic resonator according to a second embodiment of the invention, where the resonator includes a resonance region and an edge region. Referring to fig. 8, the method includes:
step 110, providing a substrate; the first surface of the substrate is planar.
Wherein, the substrate can be a silicon substrate, and the material of the bottom electrode can be molybdenum.
Step 120, a sacrificial layer is disposed on the first surface of the substrate, and a first groove and a second groove are formed on the sacrificial layer, wherein the first groove and the second groove are located in the edge area, the first groove is disposed on one side, away from the resonance area, of the second groove, the first groove penetrates through the sacrificial layer, and the depth of the second groove is smaller than the thickness of the sacrificial layer.
Fig. 9 is a schematic diagram of a sacrificial layer structure of a thin film bulk acoustic resonator according to a second embodiment of the present invention, and referring to fig. 9, a material of the sacrificial layer 90 may be silicon dioxide, deposition of the sacrificial layer 90 may be performed on the substrate 10, and the first recess 91 and the second recess 92 are etched by patterning the sacrificial layer 90.
130, sequentially forming a bottom electrode, a piezoelectric layer and a top electrode on the sacrificial layer; the resonator comprises a substrate, a sacrificial layer, a bottom electrode, a piezoelectric layer and a top electrode, wherein the substrate, the sacrificial layer, the bottom electrode, the piezoelectric layer and the top electrode are sequentially stacked, the part outside the top electrode of the resonator is an edge region, the edge region comprises a supporting part supported on the first surface of the substrate and a suspension part positioned between the supporting part and the resonance region, and the supporting part and the suspension part both comprise the piezoelectric layer; the suspension portion further includes a first protrusion, a distance between a surface of the first protrusion adjacent to the substrate and the first surface of the substrate being smaller than a distance between a surface of the other region of the suspension portion adjacent to the substrate and the first surface of the substrate, the surface of the suspension portion adjacent to the substrate being not in contact with the first surface of the substrate; the supporting part is positioned in the first groove, and the first protruding part is positioned in the second groove.
Wherein, the bottom electrode, the piezoelectric layer and the top electrode can be uniformly formed in sequence through a deposition process.
And 140, removing the sacrificial layer, and forming a cavity between the bottom electrode and the substrate in the resonator.
Wherein, referring to fig. 7 and 9, a release hole 80 is formed by etching the piezoelectric layer 30 and the bottom electrode 20, a solution that can corrode the sacrificial layer 90 is introduced from the release hole 80 such that the sacrificial layer 90 is removed to form a cavity between the bottom electrode 20 and the substrate 10, and the sacrificial layer 90 located outside the first groove 91 away from the resonance region is left to form the support layer 70, thereby improving the strength of the edge region 60 and reducing acoustic leakage of the thin film bulk acoustic resonator, and improving the Q value of the resonator.
Optionally, sequentially forming the bottom electrode, the piezoelectric layer, and the top electrode on the sacrificial layer includes: fig. 10 is a schematic view of a manufacturing process of a thin film bulk acoustic resonator according to a second embodiment of the present invention, and referring to fig. 10, a first electrode layer 21 is formed in a resonance region and an edge region; fig. 11 is a schematic view of a manufacturing process of a thin film bulk acoustic resonator according to a second embodiment of the present invention, and referring to fig. 10 and 11, the first electrode layer 21 located on a side of the boundary of the second recess 92 adjacent to the resonance region, which is far away from the resonance region, is removed to form the bottom electrode 20; referring to fig. 5, a piezoelectric layer 30 is formed on the surface of the bottom electrode 20; forming a second electrode layer on the surface of the piezoelectric layer 30; the second electrode layer outside the resonance region 50 is removed to form the top electrode 40.
Wherein, referring to fig. 5, 9-11, a first electrode layer 21 is deposited on the sacrificial layer 90, the first electrode layer 21 located at a side of the boundary of the second recess 92 adjacent to the resonance region 50 away from the resonance region 50 is removed by an etching process, a bottom electrode 20 is formed, a piezoelectric layer 30 is deposited on the bottom electrode 20, and a second electrode layer is deposited on the piezoelectric layer 30; the second electrode layer outside the resonance region 50 is removed by etching the pattern to form the top electrode 40.
Optionally, sequentially forming the bottom electrode, the piezoelectric layer, and the top electrode on the sacrificial layer includes: forming a bottom electrode and a piezoelectric layer in the resonance region and the edge region; forming a second electrode layer on the surface of the piezoelectric layer; and removing the second electrode layer outside the resonance region to form a top electrode.
Fig. 12 is a schematic view of a manufacturing process of a thin film bulk acoustic resonator according to a second embodiment of the present invention, and referring to fig. 12, a bottom electrode 20 is deposited on a sacrificial layer 90, a piezoelectric layer 30 is deposited on the bottom electrode 20, and a second electrode layer is deposited on the piezoelectric layer 30; the second electrode layer outside the resonance region is removed by etching the pattern to form the top electrode 40.
Optionally, fig. 13 is a schematic view of a manufacturing process of a thin film bulk acoustic resonator according to a second embodiment of the present invention, and referring to fig. 13, a sacrificial layer is disposed on a substrate 10, including: depositing a first sacrificial layer 94 on the substrate 10; etching the first sacrificial layer 94 to form a third groove 93, wherein the depth of the third groove 93 is equal to the thickness of the first sacrificial layer 94; fig. 14 is a schematic view of a manufacturing process of a thin film bulk acoustic resonator according to a second embodiment of the present invention, and referring to fig. 14, a second sacrificial layer 95 is deposited on the first sacrificial layer 94, and the second sacrificial layer 95 at the third recess 93 is removed to form a first recess 91; and simultaneously, the second sacrificial layer 95 is etched at a side of the first recess 91 adjacent to the resonance region to form a second recess 92.
Alternatively, referring to fig. 9, disposing a sacrificial layer 90 on a substrate 10 includes: depositing a sacrificial layer 90 on a substrate, and etching the sacrificial layer 90 to form a first groove 91; the sacrificial layer 90 is etched a second time at a side of the first recess 91 adjacent to the resonance region 50, forming a second recess 92.
Wherein the first sacrificial layer 94 and the second sacrificial layer 95 may be formed by two depositions, the first groove 91 and the second groove 92 may be formed by etching the first sacrificial layer 94 and the second sacrificial layer 95, respectively, or the first groove 91 and the second groove 92 may be formed by etching the sacrificial layer 90 two times, respectively, by one deposition of the sacrificial layer 90.
It should be appreciated that various forms of the flows shown above may be used to reorder, add, or delete steps. For example, the steps described in the present invention may be performed in parallel, sequentially, or in a different order, so long as the desired results of the technical solution of the present invention are achieved, and the present invention is not limited herein.
The above embodiments do not limit the scope of the present invention. It will be apparent to those skilled in the art that various modifications, combinations, sub-combinations and alternatives are possible, depending on design requirements and other factors. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the scope of the present invention.