1. Field of the Invention
The present invention relates to a method and system for measuring an unknown distance between an optical source and a detector in a light scattering and absorbing medium. The determination of the unknown distance between an optical source and a detector may be useful in many fields such as in medicine and in manufacturing.
2. Background of the Invention
The frequency domain technique of modulating a light source and detecting the light that has traveled though a scattering medium to determine characteristics of the medium has been used in many different ways. The devices that utilize this technique require at least one source and one detector at a known distance apart. Existing devices cannot be used for measurement of an unknown and changeable distance and cannot be used to determine characteristics of a medium when the source and the detector are spaced apart an unknown distance.
It is an object of this invention to provide a device and method that allows the determination of an unknown distance measurement through a light scattering medium.
The present invention utilizes a frequency modulation technique to determine the distance between at least one source and at least one detector. In one example embodiment, the intensity of a diode laser is modulated with a sine wave at a predetermined frequency or many frequencies. As the modulated light travels through the medium the overall intensity of the signal, as well as the amplitude of the modulated wave, decreases. In addition, the phase of the modulated wave is retarded. The light travels through an optical scattering and absorbing medium and is collected by a small handheld probe spaced an unknown distance from the light source. After a calibration factor has been determined, the unknown distance the light has traveled can be determined, thereby providing a distance measurement.
Frequency domain optical techniques have been used to measure the optical properties of a medium. The optical properties can then be used to create images or spectra for characterization of the medium. In contrast to the devices and/or methods disclosed in prior art, the present invention provides a device and method for measuring an unknown distance between a source and a detector spaced apart without knowing the optical properties of the medium through which the light travels
The present invention provides a method and system that allows the measurement of an unknown distance between a source and a detector that are movable with respect to each other. The determination of the distance between a source and a detector may be useful in many fields such as in medicine and in manufacturing.
The distance measurement device of the present invention provides an optical method to measure the distance between two points in a scattering medium, wherein such a device and method has heretofore not been available. To accomplish the distance measurement: 1) the intensity of a light source may be modulated with a sine wave 2) the modulated light may travel through an optically scattering and absorbing medium 3) a portion of the light may be optically detected by a detector 4) the change in the modulated light (i.e. the change in phase and/or modulation) may be measured at a known distance between the source and detector 5) one or more of these measurements may be used to determine a calibration factor 6) additional measurements of the change in phase and/or modulation at unknown distances from the source light may be made with the detector 7) the distance between the source and the detector may be calculated using the additional measurement. The optical source may be positioned on the surface or may be imbedded in the medium. The optical detector may be positioned on the surface or may be imbedded in the medium. Moreover, multiple sources and/or multiple detectors may be utilized, wherein the sources and detectors may be positioned on or in the medium, in a variety of combinations of positions.
The calibration factor may be determined in several ways. It is assumed that the instruments have been adjusted to negate the contribution of the instrumentation to the change in phase and/or modulation. One embodiment of determining the calibration factor may be performed by measuring the change in modulated light on a phantom medium with known optical properties at a known source to detector distance. Another embodiment of determining the calibration factor may be to measure the change in modulated light in the medium of interest at one known source to detector distance. One or more calibration factors may be determined on the medium of interest and/or the phantom medium of known optical properties in a plurality of combinations.
Additional improvements in accuracy may arise from repeatedly measuring the change in phase and/or modulation at one modulation frequency or from measuring the change in phase and/or modulation at many modulation frequencies.
A linear relationship between the distance between the source and detector and the change in phase and/or modulation exists when the frequency of modulation, f, hertz (Hz) is much less than the product of the absorption coefficient, μa, inverse millimeters (mm−1) and speed of light in the medium, c, millimeters per second (mm/s).
f<<μac (Equation 1)
When Equation 1 is satisfied, the distance between the source and the detector can be described by
R=α(1/f)φ (Equation 2)
R=β(1/f2)ln(M) (Equation 3)
Equation 2 describes the linear relationship between distance, R, and change in phase, where φ is the measured change in phase between the source and detector, f is the frequency of modulation, and α is a calibration factor independent of frequency that depends on the properties of the scattering and absorbing medium. Equation 3 describes the linear relationship between the distance and the natural logarithm of the change in modulation, where M is the modulation amplitude which depends on the overall intensity of the light source, DCS, and detected light, DCd, as well as the amplitude of the wave at the source, As, and the detector, Ad
M=(ACd/DCd)/(ACs/DCs) (Equation 4)
and β is the calibration factor independent of frequency that depends on the properties of the scattering and absorbing medium.
The advantages of the present invention are numerous. The device and method may be used to nondestructively measure an unknown distance through a light scattering medium, and may be used with visible or non-visible light. In one example embodiment, a light source placed within the medium creates an illuminated region, or glowball, surrounding the source that can serve as a guide for localization or removal of a targeted volume. Light coupling, ambient lighting, eye sensitivity, as well as the optical properties and homogeneity of the medium may affect the perceived size of the glowball. This variability in perceived size may be eliminated with quantitative measurements of the unknown distance between the optical source and an optical detector. By measuring changes in the modulated light, the unknown distance between the source and the detector can be calculated. Accordingly, the device and method may be used to determine the unknown distance to a targeted area in a medium, such as during surgical removal of diseased tissue. Details of the embodiments will now be described.
After detection of scattered light 18, the detector 16 may then send this collected light into a focusing lens system 34 and then into an avalanche photo diode, (APD) 36, which may have an adjustable gain. The APD 36 may convert the light signal received, such as detected light 18a and 18b, to a voltage 38 which may then be fed back into the network analyzer 22 where the phase lag and/or amplitude of the light signal 18a, 18b, may be measured. The change in phase and/or modulation of the light signal 18a, 18b, may be used to determine a calibration factor based on a known distance between the source and detector fibers 12a, 12b, and 16a, 16b, for example. The calibration factor may be determined by dividing the change in phase or modulation by a known distance between the sources and detectors 12a, 12b and 16a, 16b, for example. By multiplying the calibration factor with a measured change in the modulated light at an unknown distance 40, between a tip 44 of a particular source 12a, for example, and a tip 46 of a particular light detector 16b, for example, an unknown distance 40, may be measured. The DC current utilized to drive the diode laser 26 may be adjusted to control the size of a glowball 42 (shown in dash lines) generated within a light scattering medium 50 by modulated light 14a, for example. In other embodiments, other combinations of sources and detectors may be utilized, such as use of a single detector with multiple light sources, a single light source with multiple detectors, two sources with and three detectors, two sources with four detectors, etc. Additionally, other variables may be changed such as the wavelength of the source light utilized. For example, source 12a may be a different wavelength of light than 12b but may be modulated at the same frequency or a different frequency. Or, for example, source 12a by emit one or more wavelengths of light. The source, 12 may be illuminated by a laser or light emitting diode that emits a small range of wavelengths of light. Accordingly, the variety of combinations of variables may be infinite to determine an unknown distance 40 between the light source and the detector.
Reference numbers 32a, 32b, 32c, etc. may be utilized to describe the known distance that modulated light travels, and reference number 40 may be utilized to describe the unknown distance between a particular source/detector pair, wherein unknown distance 40 may coincide with a particular light travel path 32. In other words, multiple measurements may be conducted to determine a single distance 40 between a particular light source 12 and a particular detector 16 of interest, for example, or to determine a single distance 40 between a particular position of a light source 12 and a particular position of a detector 16. As stated earlier, distance 32 traveled by modulated light 18 is shown schematically by reference arrow 18 because scattered light does not follow a linear path in a scattering medium.
Each of the different embodiments may be conducted at one or many wavelengths of light in the visible or non-visible range and may be conducted with a variety of numbers of sources 12 and detectors 16 and at one or more modulation frequencies. An example method will now be described in detail.
After the calibration factor has been determined, a measurement of a change in the modulated light to determine the unknown distance 40, between source 12, and detector 16, is conducted. The measurement to determine the unknown source-detector separation distance 40 is conducted within the medium of interest 50 (
After the determination of the calibration factor and measurement of a change in the modulated light over unknown distance 40, the unknown distance 40, is determined. In a preferred embodiment, the most straightforward method of calculating the unknown distance between the source and detector, R, 40, utilizes the linear response of the change in phase of the detected light 18 to a change in the source to detector separation distance, as shown in Equation 2. The more calibration factors that are determined, i.e., the more sources and detectors utilized and the more measurements taken utilizing different source and detector combinations, the more accurate the calculation of the calibration factor, α, will be.
Another embodiment involves utilizing multiple modulation frequencies. Yet another embodiment involves utilizing equation 3 and measuring the change in modulation in addition to or in place of the change in phase of the signal. The calibration factor β, has a linear response to the natural logarithm of the change in normalized modulation.
A prototype was developed and testing of the inventive device 10 and method was conducted. In particular, a polyurethane phantom medium 52 (
To calculate the distance, R, 40, between the source 12 and the detector 16 based on phase measurements, a system was constructed based on
Accordingly, the feasibility of a frequency domain system that determines a calibration factor based on two known source detector separation distances utilizing measurements of phase shift and then extrapolates that calibration factor to determine an unknown distance 40 was demonstrated. In an optical phantom 52, sinusoidally modulated light 14 within the scattering medium 52 was used to measure the phase shift at a known distance 32 between source 12 and detector 16 and predict the unknown distance 40 between source 12 and detector 16 upon moving detector 16 to a different location on scattering medium 52. The prediction of an unknown distance 40 from the source 12 to the detector 16 was within 3% of the actual distance (
Other variations and modifications of the concepts described herein may be utilized and fall within the scope of the claims below.
This application claims the benefit of Provisional application Ser. No. 61/205,836 filed Jan. 23, 2009.
Number | Date | Country | |
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61205836 | Jan 2009 | US |