Multi-mode photodetectors and methods of fabricating the same
11329239 · 2022-05-10
Assignee
Inventors
Cpc classification
H10K30/00
ELECTRICITY
H10K85/113
ELECTRICITY
H10K30/211
ELECTRICITY
H10K85/621
ELECTRICITY
International classification
Abstract
The present invention relates to a bias-switchable spectral response high performance PD with multi-mode detection, e.g., dual-mode photoresponses in NIR and visible light ranges. The dual-mode PD has the absorber/spacer type components in its active layer, e.g., a tri-layer configuration of absorber-1 (absorber-1 absorbs the electromagnetic wave of the first wavelength comprising visible light)/optical spacer/absorber-2 (absorber-2 absorbs the electromagnetic wave of the second wavelength comprising IR light). In the presence of IR light, photocurrent generates in the IR light absorbing layer under a reverse bias. In the presence of visible light, photocurrent generates in the visible light absorbing layer under a forward bias. A bias-switchable spectral response PD offers an attractive option for applications in environmental pollution, bio, medical, agricultural, automotive, fishery, food, wellness and security monitoring, detection and imaging in two or different or multiple distinct bands.
Claims
1. A multi-mode photodetector comprising a functional multi-layered structure, the functional multi-layered structure comprising at least one absorber and at least one spacer, said at least one absorber and said at least one spacer being made of the same material or different materials, said multi-mode photodetector being configured to be non-responsive to electromagnetic wave of a first wavelength or visible light while being responsive to electromagnetic wave of a second wavelength or infrared or near infrared operated under a reverse bias, or be non-responsive to the electromagnetic wave of the second wavelength or infrared or near infrared while being responsive to the electromagnetic wave the first wavelength or visible light operated under a forward bias, wherein the wavelength of the electromagnetic wave of the first wavelength absorbed by a first absorber of the at least one absorber is shorter than the wavelength of the electromagnetic wave of a second wavelength absorbed by a second absorber of the at least one absorber in the functional multi-layered structure of the first absorber, the at least one spacer and the second absorber, and wherein the at least one spacer is light-absorbing so as to effectively deplete the electromagnetic wave of the first wavelength and allow the electromagnetic wave of the second wavelength to be absorbed in the second absorber.
2. The multi-mode photodetector of claim 1, wherein the functional multi-layered structure is a combination of the absorber and the spacer, or a combination of the spacer and the absorber, or a combination of the first absorber, the spacer and the second absorber, or a combination of a first spacer, the absorber and a second spacer, or any combination of the at least one absorber and the at least one spacer.
3. The multi-mode photodetector of claim 1, wherein the same or different materials for the at least one absorber and the at least one spacer is/are one or more of organic, polymer, perovskite, colloidal quantum dots, organic/inorganic hybrids, 1D and 2D low dimensional materials, or any combination thereof.
4. The multi-mode photodetector of claim 1, wherein the first absorber is positioned adjacent to a front electrode of the multi-mode photodetector and is sensitive to the electromagnetic wave of the first wavelength comprising visible light.
5. The multi-mode photodetector of claim 4, wherein the first absorber is made of a material comprising poly (3-hexylthiophene) and PC.sub.70BM in a weight ratio of 100:1.
6. The multi-mode photodetector of claim 1, wherein the second absorber is positioned adjacent to a rear electrode of the multi-mode photodetector and is sensitive to the electromagnetic wave of the second wavelength comprising infrared and near infrared light.
7. The multi-mode photodetector of claim 6, wherein the second absorber is made of a material comprising poly (3-hexylthiophene), poly[4,8-bis(5-(2-ethylhexyl)thiophen-2-yl)benzo[1,2-b;4,5-b′]dithioph-ene-2,6-diyl-alt-(4-(2-ethylhexyl)-3-fluorothieno[3,4-b]thiophene-)-2-carboxylate-2-6-diyl], and [6,6]-phenyl-C70-butyric-acid-methyl-ester in a weight ratio of 70:30:1.
8. The multi-mode photodetector of claim 1, wherein the at least one spacer is made of poly (3-hexylthiophene) for depleting the electromagnetic wave in visible light range.
9. The multi-mode photodetector of claim 1, wherein the wavelength of the electromagnetic wave of the second wavelength is in a range from 640 nm to 800 nm.
10. The multi-mode photodetector of claim 1, wherein the wavelength of the electromagnetic wave of the first wavelength is in a range from 310 nm to 650 nm.
11. The multi-mode photodetector of claim 1, wherein the photodetector having different photoresponses to electromagnetic wave of different wavelengths operated under a forward or reverse bias is provided by photo-generated charge carriers in respective layers of the multi-mode photodetector.
12. The multi-mode photodetector of claim 5, wherein the first absorber has a thickness from 10 nm to 10 microns.
13. The multi-mode photodetector of claim 7, wherein the second absorber has a thickness from 10 nm to 10 microns.
14. The multi-mode photodetector of claim 8, wherein the at least one spacer has a thickness from 10 nm to 10 microns and the poly (3-hexylthiophene) is pristine poly (3-hexylthiophene).
15. A bias-controllable spectral response multi-mode photodetector comprising the multi-mode photodetector of claim 1 and two different electrodes, wherein polarity of biases applied to the two different electrodes of the multi-mode photodetector is adjusted in order to provide bias-controllable spectral response to electromagnetic wave of different wavelengths.
16. The bias-controllable spectral response multi-mode photodetector of claim 15, wherein the bias-controllable spectral response multi-mode photodetector is used for imaging, environmental pollution, bio, medical, agricultural, automotive, fishery, food, wellness and security monitoring and detection, and optical communications in two or multiple distinct bands.
17. The bias-controllable spectral response multi-mode photodetector of claim 16, wherein the two or multiple distinct bands comprise a plurality of electromagnetic waves with two or more different wavelengths ranging from 10 nm to 1000 μm.
18. The bias-controllable spectral response multi-mode photodetector of claim 17, wherein the plurality of electromagnetic waves with two or more different wavelengths are selected from UV, visible, NIR, SWIR, MWIR, LWIR and VLWIR.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The above and other objects and features of the present invention will become apparent from the following description of the invention, when taken in conjunction with the accompanying drawings, in which:
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DETAILED DESCRIPTION OF THE INVENTION
(37) The multi-mode PD disclosed in this invention comprises a functional multi-layered structure including at least one absorber and at least one spacer, wherein the functional multi-layered structure is in different combinations of one or more absorbers and one or more spacers made of the same or different materials, for example, the absorber/spacer or spacer/absorber or absorber-1/spacer/absorber-2 or spacer-1/absorber/spacer-2 component and/or their combinations, e.g., a dual-mode PD comprising a functional multi-layer configuration of absorber-1 (absorber-1 absorbs the electromagnetic wave of the first wavelength comprising visible light)/optical spacer/absorber-2 (absorber-2 absorbs the electromagnetic wave of the second wavelength comprising IR light). The absorber/spacer type bias-switchable spectral response multi-mode PD can be used for applications in environmental pollution, bio, medical, agricultural, automotive, fishery, food, wellness and security monitoring, detection and imaging in two or different or multiple distinct bands.
(38) In this invention, a multi-mode PD, e.g., dual-mode PD, comprises a stack of absorber-1/spacer/absorber-2. The absorber-1 (e.g., visible light absorber) has a layer thickness within a range from 10 nm to 10 microns, e.g., a 300-nm thick P3HT:PC.sub.70BM (100:1) visible light absorbing layer. The thickness of the optical spacer is within a range from 10 nm to 10 microns, e.g., a 320-nm thick P3HT layer. The absorber-2 has a layer thickness within a range from 10 nm to 10 microns, e.g., a 500-nm thick P3HT:PTB7-Th:PC.sub.70BM (70:30:1) NIR light absorbing layer. The first example dual-mode PD has a multi-layer configuration of ITO/PFN-Br/P3HT:PC.sub.70BM (100:1)/P3HT/P3HT:PTB7-Th:PC.sub.70BM (70:30:1)/Al. The multi-mode PD possesses a unique feature of NIR light response over a wavelength range from 640 nm to 800 nm when being operated under a reverse bias, and a visible light response over a wavelength range from 310 nm to 650 nm when being operated under a forward bias. The dual-mode PD has an impressive high optical detectivity of ˜10.sup.13 Jones in the presence of both NIR and visible light. The unique dual-mode PD with tunable responses over a broad spectral range from visible to IR light offers an attractive option for new optoelectronic device concept and applications.
(39) Methods
(40) Device Fabrication
(41) The binary P3HT:PC.sub.70BM solution was formulated by dissolving the P3HT:PC.sub.70BM mixture, with a weight ratio of P3HT to PC.sub.70BM of 100:1, in 1,2-dichlorobenzene (o-DCB). The ternary P3HT:PTB7-Th:PC.sub.70BM solution was formulated by dissolving the P3HT:PTB7-Th:PC.sub.70BM mixture in a weight ratio of P3HT to PTB7-Th to PC.sub.70BM of 70:30:1 in o-DCB. The pre-patterned ITO glass substrates with a sheet resistance of 10 Ω/sq were cleaned by ultra-sonication sequentially with diluted liquid detergent, de-ionized water, acetone and 2-propanol each for 30 min and dried by nitrogen gas flow. The wet-cleaned ITO/glass substrates were subjected to the UV-Ozone treatment for 15 min before loading into the glove box, with O.sub.2 and H.sub.2O levels <0.1 ppm, for device fabrication. The ITO surface was modified by an ultrathin PFN—Br layer, prepared by spin-coating at a rotation speed of 3000 rpm for 50 s following an annealing at 90° C. for 10 min. The use of PFN—Br-modified ITO front electrode is to create an interface dipole, assisting in bi-directional tunneling charge injection in the PD. Then, a 300-nm thick binary blend layer of P3HT:PC.sub.70BM (100:1) was deposited on the PFN—Br-modified ITO/glass substrates by spin-coating at a rotation speed of 400 rpm for 100 s and annealed at 80° C. for 20 s. A 320-nm thick pristine P3HT optical spacer and a 500-nm thick ternary blend layer of P3HT:PTB7-Th:PC.sub.70BM (70:30:1) were first coated on the pre-cleaned silicon (Si) wafers, respectively. A 320-nm thick pristine P3HT optical spacer was then transferred onto the surface of the binary blend P3HT:PC.sub.70BM (100:1) visible light absorbing layer by the lamination transfer using a polydimethylsiloxane (PDMS) mold, forming a bi-layer P3HT:PC.sub.70BM (100:1) (300 nm)/P3HT (320 nm) structure. A 500-nm thick P3HT:PTB7-Th:PC.sub.70BM (70:30:1) NIR light absorbing layer was then overlaid on the surface of the bi-layer P3HT:PC.sub.70BM (100:1) (300 nm)/P3HT (320 nm) structure using the same lamination transfer process, forming a tri-layer configuration of P3HT:PC.sub.70BM (100:1) (300 nm) (absorber-1)/P3HT (320 nm) (spacer)/P3HT:PTB7-Th:PC.sub.70BM (70:30:1) (500 nm) (absorber-2) on the PFN—Br-modified ITO/glass substrate. The use of the PDMS lamination approach is to avoid the damage to the underlying functional materials in the tri-layer active layer configuration if it were formed by the full-solution process, as the same o-DCB solvent was used in the binary P3HT:PC.sub.70BM, pristine P3HT and ternary P3HT:PTB7-Th:PC.sub.70BM solutions. The multilayer samples were then transferred to the adjacent vacuum chamber, with a base pressure of 5×10.sup.−4 Pa for deposition of a 100-nm thick Al electrode. The PDs have an active area of 2.0 mm×2.0 mm, defined by the overlapping area between the front ITO electrode and the rear Al electrode.
(42) PDMS Transfer Method
(43) The stack of P3HT:PC.sub.70BM (100:1) (300 nm)/P3HT (320 nm)/P3HT:PTB7-Th:PC.sub.70BM (70:30:1) (500 nm) films was fabricated by transfer process using a flat PDMS mold. A 1-mm thick flat PDMS mold, with an area of 25 mm×25 mm, was prepared using the PDMS solution, formulated by mixing the elastomer and curing agent solution in a weight ratio of 10:1. A 300-nm thick binary blend P3HT:PC.sub.70BM (100:1) visible light absorbing layer was deposited on the glass/ITO/PFN—Br substrates by spin-coating. A 320-nm thick pristine P3HT optical spacer layer and a 500-nm thick ternary blend PTB7-Th:PC.sub.70BM (70:30:1) NIR light absorbing layer were coated on the Si wafers separately. A flat PDMS mold was then pressed on the surface of the functional layer/Si wafer, and the sample was dipped in the distilled water for 1 min, the Si wafer was removed carefully leaving the functional layer on the flat PDMS mold. The transfer of the P3HT layer was done by pressing the P3HT-coated PDMS mold on the surface of the P3HT:PC.sub.70BM (100:1) (300 nm)/PFN-Br/ITO/glass substrate in the glovebox, followed by an annealing for 15 min, the flat PDMS mold was removed carefully forming a bi-layer P3HT (320 nm)/P3HT:PC.sub.70BM (100:1) (300 nm) stack on the PFN—Br-modified ITO/glass substrate. Next, the transfer of the P3HT:PTB7-Th:PC.sub.70BM (70:30:1) layer was done by pressing the P3HT:PTB7-Th:PC.sub.70BM (70:30:1)-coated PDMS mold on the surface of P3HT (320 nm)/P3HT:PC.sub.70BM (100:1) (300 nm)/PFN-Br/ITO/glass substrate, following by an annealing for 15 min, the flat PDMS mold was then removed carefully, forming a tri-layer stack of P3HT:PC.sub.70BM (100:1) (300 nm)/P3HT (320 nm)/PTB7-Th:PC.sub.70BM (70:30:1) (500 nm) on PFN—Br-modified ITO/glass substrate.
(44) Optical Simulations
(45) The optical field distribution and profile of the photo-generated charge carriers in the device were simulated using optical admittance analyses. The charge generation rate in the active layer was estimated using the following equation:
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where G(λ) is the density of the photo-generated charge carriers, α(λ) is the absorbance of the active layer, h is the Plank constant, v is the photon frequency and η is the exciton dissociation efficiency. As an approximation, a constant η across the active layer was adopted in the calculation.
(47) Characterizations and Measurements
(48) The I-V characteristics of the PDs were measured by a Keithley 2614B source meter. Two LED light sources with the different peak emission wavelengths of 770 nm (NIR light) and 460 nm (visible light), driven by a RIGOL DG4102 function generator, were used for measuring the NIR and visible light responses of the dual-mode PDs. The intensity of the NIR and visible light sources was controlled using a set of neutral optical filters. EQE, defined as the ratio of the number of the photo-generated charge carriers to the number of the incident photons, was calculated using the following equation:
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where I.sub.l and I.sub.d are the photocurrent and dark current, e is the elementary electron charge (1.6×10.sup.−19 C) and P.sub.m is the power of the incident light. The monochromatic light source, generated by a Zenon lamp and the Bentham TMc300 monochromator, was used in EQE measurement. Transient photoresponses of the dual-mode PDs were measured using a Tektronix PD2022B digital phosphor oscilloscope. The DC bias used in the transient photoresponse measurements was controlled by the RIGOL DP821A DC power supply.
(50) Results and Discussion
(51) This invention discloses a multi-mode PD with a unique feature of high photoresponses in two or more different or multiple distinct bands, e.g., the first example PD possesses a high IR light response when being operated under a reverse bias, and a visible light response when being operated under a forward bias. The perspective view of the first example multi-mode PD structure, substrate/front electrode/absorber-1/optical spacer/absorber-2/rear electrode, is shown in
(52) The optical field distribution and profile of charge generation distribution in the dual-mode PD, e.g., with a layer configuration comprising ITO/PFN-Br/P3HT:PC.sub.70BM (100:1) (300 nm)/P3HT (320 nm)/P3HT:PTB7-Th:PC.sub.70BM (70:30:1) (500 nm)/Al (100 nm), was calculated using the optical admittance analysis.
(53) The absorption spectra calculated for a 300-nm thick binary blend P3HT:PC.sub.70BM (100:1) visible light absorbing layer, a 320-nm thick pristine P3HT optical spacer and a 500-nm thick ternary blend P3HT:PTB7-Th:PC.sub.70BM (70:30:1) NIR light absorbing layer in the PD are plotted in
(54) To understand the unique spectral responses of the absorber/spacer type PD, the distinct dual-mode IR light and visible light detection phenomena of the PD operated under the reverse and forward biases are analyzed. The miscible PC.sub.70BM molecules distributed in the binary blend P3HT:PC.sub.70BM (100:1) visible light absorbing layer and ternary blend P3HT:PTB7-Th:PC.sub.70BM (70:30:1) NIR light absorbing layer in the absorber/spacer type tri-layer PD. The charge injection occurs at the absorber/rear electrode interface in the dual-mode PD operated under a reverse bias, as shown in
(55) Under a forward bias, the charge injection behavior in the dual-mode PD is very different as compared to the PD that is operated under a reverse bias in the presence of the NIR light, as illustrated in
(56) The current-voltage (I-V) characteristics of the dual-mode PD in the presence of NIR light (770 nm), measured by scanning from −35 V to 15 V, are plotted in
(57) The responsivity (in A/W) measured for the dual-mode PD operated at the IR mode (under different reverse biases) and visible light mode (under different forward biases) are shown in
(58) The specific detectivity (D*) of the dual-mode PD was also analyzed, which is closely associated with EQE and noise current. The performance repeatability of the dual-mode PD was evaluated by repeating the I-V characteristic measurements continuously for more than 7 times, and the average of the measured results are plotted in
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where J.sub.dark is the dark current density, c is the speed of light. The D* as a function of the wavelength obtained for the dual-mode PD in the IR and visible light detection modes when being operated under different reverse and forward biases are plotted in
(60) A summary of the dark current, responsivity, EQE and D*, measured for the first example dual-mode PD operated under different reverse and forward biases, using a short wavelength (376 nm) and a long wavelength (654 nm) light sources, is listed in Table 1. A high responsivity of 14.44 A/W, EQE of 4767% and a high D* of 1.41×10.sup.13 Jones were obtained for the dual-mode PD in the presence of short wavelength, e.g., measured for the PD operated under a forward bias of 18 V using a 376 nm light source. A responsivity of 12.94 A/W, EQE of 2454% and a D* of 9.85×10.sup.12 Jones were obtained for the dual-mode PD, operated under a reverse bias of −45 V, in the presence of long wavelength light.
(61) TABLE-US-00001 TABLE 1 Summarized photodetection parameters. The maximum EQE and detectivity measured for the first example dual-mode PD using a short wavelength (376 nm) and a long wavelength (654 nm) light sources, operated under different forward and reverse biases. Light Bias Dark current Responsivity EQE D* sources (V) (×10.sup.−7A) (A/W) (%) (×10.sup.12 Jones) 376 nm 9 0.67 1.31 432 1.79 12 0.88 3.53 1163 4.24 15 1.08 7.47 2465 8.03 18 1.33 14.44 4767 14.10 654 nm −30 1.07 3.65 692 3.94 −35 1.33 5.48 1040 5.31 −40 1.61 8.66 1643 7.64 −45 2.16 12.94 2454 9.85
(62) The LDR, defined as the linear light intensity dependence of the photocurrent in a PD, of the dual-mode PD in the presence of the IR and visible light was analyzed. The LDR can be analyzed using the following equation:
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where I.sub.upper and I.sub.lower are the maximum and minimum limits of the intensity of light that the photocurrent of an PD follows a linear dependence on light intensity. LDR characteristics measured for the dual-mode PD in the IR light detection mode, e.g., operated under different reverse biases of −20 V, −25 V and −30 V, using an NIR light-emitting diode (LED) light (770 nm) source over the NIR light intensity range from 10.sup.−9 W/cm.sup.2 to 10.sup.−1 W/cm.sup.2, are plotted in
(64) Transient photo responses of the dual-mode PD measured in the presence of the NIR light (770 nm) and visible light (460 nm) sources are shown in
(65) The photoresponse time of the PD were analyzed by measuring the rising time τ.sub.rise, defined as the time taken for the PD reaches to the 90% of its maximum photocurrent after switching on the modulated light source, and the falling time τ.sub.fall, defined as the time taken for the photocurrent reduces to 10% of its maximum value in the PD after switching off the modulated light source in the measurement. In the presence of the modulated NIR light (770 nm), the τ.sub.rise of 3.3 s and τ.sub.fall of 6.6 s were obtained for the dual-mode PD operated under a reverse bias of −35 V as shown in
(66) The proposed absorber/spacer type multi-mode PDs may also be designed for photodetection in different first-wavelength and second-wavelength electromagetic waves, using a combination of materials with desired absorption properties. Essentially, the use of an optical spacer in the absorber/spacer type multi-mode PDs enables the second-wavelength and first-wavelength parts of the incident electromagnetic wave being absorbed selectively in the second wavelength and first wavelength absorbing regions. An appropriate optical spacer can be selected to deplete the first wavelength light and enable the second wavelength light reaching to the second wavelength light absorbing layer. Therefore, the absorber/spacer type PD concept described in this invention can be adopted for making different multi-mode PDs. The rapid progresses made in the development of solution-processable functional materials, e.g., organic, polymer, perovskite, colloidal quantum dots, organic/inorganic hybrids, 1D and 2D low dimensional materials and their combinations, offer an attractive option and a variety of material choices for application in different multi-mode PDs, e.g., a visible and SWIR dual-mode PD. It is anticipated that the active materials with well-defined narrow absorption spectrum in the respective first wavelength and second wavelength ranges would be ideal for applications in environmental pollution, bio, medical, agricultural, automotive, fishery, food, wellness and security monitoring, detection and imaging in two or different or multiple distinct bands. In the visible mode, the second example PD is operated under the forward bias, becomes an absorber/spacer configuration, e.g., P3HT:PC.sub.70BM (100:1) (300 nm)/P3HT:PTB7-Th:PC.sub.70BM (70:30:1) (500 nm). A visible responsivity of 2.5 A/W was obtained for the PD operated under a forward bias of 12 V, as shown in
(67) The depth profile of the wavelength dependent light absorption in the absorber-1 (500 nm-thick P3HT:PTB7-Th:PC.sub.70BM)/spacer (1000-nm thick P3HT:PTB7-Th:PC.sub.70BM)/absorber-2 (500-nm thick P3HT:PTB7-Th:PC.sub.70BM)/-based PD is shown in
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(69) The wavelength dependent complex refractive indices used for the calculation of the optical field distributions, as shown in
(70) Therefore, it is a great challenge to achieve a bias-switchable spectral response high performance multi-mode PD in different distinct bands. In this invention, the absorber/spacer type multi-mode PD, e.g., a dual-mode PD, comprising a tri-layer configuration of absorber-1 (e.g., visible light absorber)/optical spacer/absorber-2 (e.g., NIR light absorber), has been proposed. Such an absorber/spacer type PD gives rise to the remarkable dual-mode light detection phenomena, exhibiting an IR response operated under a reverse bias and a visible response under a forward bias. The dual-mode PD comprises of a solution-processed 300-nm thick binary blend P3HT:PC.sub.70BM (100:1) visible light absorbing layer, a 320-nm thick pristine P3HT optical spacer layer and a 500-nm thick ternary blend P3HT:PTB7-Th:PC.sub.70BM (70:30:1) NIR light absorbing layer. The bias-switchable IR and visible light responses in the dual-mode PD are closely associated with two factors: (1) different distributions of the photo-generated charge carriers in the presence of the IR and visible light, and (2) the bias polarity dependent charge injection behaviors. In the presence of NIR light, the charge injection occurs at the IR light absorber/rear electrode interface in the PD operated under a reverse bias. In the presence of visible light, the charge injection takes place at the front electrode/visible light absorber interface in the PD under a forward bias, due to the high density of visible light-generated charge carriers.
(71) High performance multi-mode PDs are an attractive alternative optical detection technology to the conventional single-mode PDs. They offer additional advantages such as having a bias-switchable spectral response for applications in environmental pollution, bio, medical, agricultural, automotive, fishery, food, wellness and security monitoring, detection and imaging in two or different or multiple distinct bands. The solution-processable fabrication processes also lead to significant cost benefits, thereby creating next-generation large-area and flexible PDs. The unique multi-mode light response properties disclosed in this invention offer an attractive option for new PD concept and applications.
INDUSTRIAL APPLICATION
(72) The present invention relates to a bias-switchable spectral response high performance PD with multi-mode detection, e.g., dual-mode photoresponses in the electromagnetic waves of the second wavelength (e.g., IR) and the first wavelength (e.g., visible light). A bias-switchable spectral response PD can be used for applications in environmental pollution, bio, medical, agricultural, automotive, fishery, food, wellness and security monitoring, detection and imaging in two or different or multiple distinct bands.
(73) Those skilled in the art will appreciate from the foregoing description that the broad techniques of the embodiments can be implemented in a variety of forms. Therefore, while the embodiments have been described in connection with particular examples thereof, the true scope of the embodiments should not be so limited since other modifications will become apparent to the skilled practitioner upon a study of the drawings, specification, and following claims.