RETINAL STIMULATION DEVICE FOR MITIGATION OF MYOPIA PROGRESSION
20220404642 · 2022-12-22
Inventors
Cpc classification
International classification
Abstract
The present invention relates to a novel lens unit being configured for spectral selective retinal stimulation modulation, which is advantageously a passive modulation effect in the lens of the invention. More specifically, the lens unit comprises a lens substrate having a certain volume defining a front and back surface, wherein the lens unit carries a spectral coder which, when the lens unit is in use, operates as a temporal spectral coder with respect to a portion of input light interacting with the lens unit and reaching the eye.
Claims
1. A lens unit comprising a lens substrate having a certain volume defining a front and back surface, wherein the lens unit carries a spectral coder which, when the lens unit is in use, operates as a temporal spectral coder with respect to a portion of input light interacting with the lens unit and reaching the eye; said spectral coder comprises a spectral selective pattern formed by an array of regions of the lens substrate having different spectral properties defining together a predetermined spatial transition profile and spectral and geometrical parameters; wherein each region in the array of regions of said spectral selective pattern has a certain wavelength selectivity different to that of adjacent regions, the spectral and geometrical parameters including a number of regions of the different wavelength selectivity, lateral shape and size of the regions, wherein the spectral and geometrical parameters of the spectral selective pattern are configured to enable treatment of at least one eye disorder.
2. The lens unit of claim 1, wherein said spectral selective pattern is configured to induce spectral selective modulation of an amount of spectral properties of light reaching user's eye after interaction with the lens unit, said spectral selective pattern being configured to induce low-frequency temporal changes of said spectral selective modulation resulting from movements of the user's eye.
3. The lens unit of claim 1, wherein said certain wavelength selectivity is defined by a certain relation between a light response of said region to incident light of different wavelengths.
4. The lens unit of claim 1, wherein the regions of the different spectral properties in said spectral selective pattern are configured and arranged with a low spatial frequency with respect to visual spectra for which the lens unit is designed, said spectral selective pattern being therefore a non-diffractive pattern.
5. The lens unit of claim 1, wherein the spectral selective wavelength selective pattern is configured to at least one of: be used in a wearable device for reducing a rate of myopia progression; define a plurality of spatial transitions arranged along at least one lateral axis across the lens unit.
6. (canceled)
7. The lens unit of claim 5, wherein said spectral selective pattern is configured to define at least three spatial transitions.
8. The lens unit of claim 1, wherein said spatial transition profile has a certain variable periodicity along at least one lateral axis of the lens unit.
9. The lens unit of claim 8, wherein the variable periodicity is lower towards side regions of the lens substrate.
10. The lens unit of claim 1, wherein said regions of the spectral selective pattern comprise two or more regions having certain geometrical shapes including at least one of an elongated substantially rectangular shape, and a substantially ring-like shape.
11. The lens of claim 10, wherein the substantially ring-like shaped regions include at least one of oval, circle and ellipse.
12. The lens unit of claim 1, wherein the spectral selective pattern includes a pattern having a width of at least 5 mm.
13. The lens unit of claim 1, wherein a ratio between different wavelength selectivities measured at different positions of the lens unit, either in transmittance through the lens unit or in reflection from the back surface of the lens, is at least 2.
14. The lens unit of claim 1, wherein the regions of the array have the same size.
15. The lens unit according to claim 1, wherein the spectral selective pattern is adapted to create a wavelength dependent flicker, through relative movement of at least one of user's eyes and head with respect to the environment, the wavelength dependent flicker being in a frequency range of about 0.2 Hz to 20 Hz.
16. The lens unit of claim 1, wherein at least one of the front and back surfaces of the lens unit is coated with a coating structure forming the spectral selective pattern.
17. The lens unit of claim 16, wherein said coating structure comprises a multi-layered coating structure being configured for coating the back surface of the lens; said multi-layered coating structure comprising at least one patterned layer comprising the spectral selective pattern.
18. The lens unit of claim 17, wherein said multi-layered coating structure comprises at least one reflective layer having reflective properties being configured to reflect light at wavelengths in the range of about 440 nm to 500 nm.
19. The lens unit of claim 18, wherein the at least one reflective layer is patterned or has a reflection coefficient in the range of about 440 nm to 500 nm being higher than 10%.
20. (canceled)
21. The lens unit of claim 17, wherein said multi-layered coating structure further comprises an anti-reflective layer interfacing the back surface of the lens.
22. The lens unit of claim 1, wherein at least one of the front and back surfaces of the lens unit is tinted with a tinting forming the spectral selective pattern.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0031] In order to better understand the subject matter that is disclosed herein and to exemplify how it may be carried out in practice, embodiments will now be described, by way of non-limiting examples only, with reference to the accompanying drawings, in which:
[0032]
[0033]
[0034]
[0035]
[0036]
[0037]
[0038]
[0039]
[0040]
DETAILED DESCRIPTION OF EMBODIMENTS
[0041] The present invention provides a novel lens unit for use in eyewear for the mitigation of propagation of myopia. In certain embodiments the lens has negative diopter power to correct present myopia. In some embodiments, the lens unit is configured for vision correction, i.e. formed to correct other or additional sight deficiencies. In other embodiments, the lens unit has no optical power and is used mainly for the mitigation of myopia by providing low frequency modulation of the spectral properties of incident light.
[0042] In an embodiment the eyewear is spectacles. In some embodiments eyewear may be, for example, fit-over glasses or clip-on lenses.
[0043] Referring to
[0044]
[0045]
[0046] The spectral selective pattern 116 has regions (pattern features) of different spectral properties arranged along at least one lateral axis 120 across the lens unit, i.e. in a lateral plane—regions R1 and R2 of two different spectral properties being shown in this non-limiting example. In other words, each region R1 and R2 in the array of multiple regions of the spectral selective pattern has a certain wavelength selectivity different to that of adjacent regions. The certain wavelength selectivity may be defined by a certain relation between a light response of the region and incident light of different wavelengths. The spectral and geometrical parameters of the spectral selective pattern may be configured to enable treatment of the at least one eye disorder. The spectral and geometrical parameters may include a number of regions of the different wavelength selectivity, lateral shape, and size of the regions. The regions of the different spectral properties in the spectral selective pattern may be configured and arranged with a low spatial frequency with respect to visual spectra for which the lens unit 100 is designed. The spectral selective pattern is therefore a non-diffractive pattern. It should be understood that in some embodiments such a pattern is in the form of regions of at least first spectral properties spaced by (surrounded by) the regions of at least second different spectral properties. These may be discrete regions of different spectral properties (as exemplified in
[0047] It should also be noted that the pattern is such that the regions of different spectral properties are arranged with a low spatial frequency with respect to visual spectra for which the lens is designed (i.e. lateral dimensions of the regions are larger, and even much larger, than the wavelength of visual spectra). In other words, the pattern is substantially non-diffractive with respect to the spectra for which the lens unit is designed.
[0048] Thus, in the present non-limiting example, the spectral selective pattern 116 is implemented as a coating being a multi-layered coating structure. The illustrated spectral selective pattern comprises coated regions R1 (having a first spectral property) on the lens designated in gray, and uncoated regions R2 designated in white (being regions of the lens having a second spectral property).
[0049] Spectral selective pattern 116 may be described for example by a geometrical shape (lateral structure) of the regions of certain spectral properties, e.g. the regions on which the coating is applied. The regions of the spectral selective pattern may comprise two or more regions having certain geometrical shapes including at least one of an elongated substantially rectangular shape, and a substantially ring-like shape. For example, the substantially ring-like shaped regions may include at least one of oval, circle and ellipse. More specifically, according to the illustrated embodiment, the pattern may comprise regions having elongated geometrical shapes, rectangular in this case, along the vertical direction in the plane of the lens (the lateral plane). Defining width as generally orthogonal to the elongation direction of a geometrical shape, the elongated shapes may have a width (lateral dimension) of at least 5 mm, or even less. In a specific and non-limiting example, the width of the coated regions may be in the range of about 0.5-20 mm. For example, the width of the coated regions may be 1 mm, 5 mm, 7 mm or 10 mm. Some other pattern configurations which may be applied are illustrated in and described below with reference to
[0050] As may be noted for the specific embodiment illustrated in
[0051] Several aspects of the optical properties consequent of the shape of the spectral selective pattern may be realized if the optical or spectral response profile along a cross section or a line in the lens plane/surface is considered. The spectral selective pattern may be characterized by its optical response, the reflectance from the lens unit, or transmittance through the lens unit at different wavelengths or wavelength (spectral) bands and at different regions thereof. The reflectance or transmittance may be expressed for rays parallel to the lens optical axis, or for rays at a normal angle to the lens surface.
[0052] Change in the optical response from one point to another in the lens plane may also be described by considering the profile of the respective response as it varies along the lens unit. Consider, for example the optical response variation along a lateral axis 120 crossing the lens as shown in
[0053]
[0054] The pattern creation on/in the lens may generally be performed using any suitable technique. Also, patterning by selective coating is one of many possible examples of such pattern creation.
[0055] A coating process according to an embodiment of the invention and the resulting spectral response, are described below with reference to
[0056]
[0057] More specifically, optionally in 202, a base anti-reflective coating is applied to the entire surface of the lens (no pattern). An anti-reflective coating is a type of optical coating applied to the surface of lenses and other optical elements aimed at reducing reflection to certain spectra, e.g. visual spectra for the purposes of the present application. Such coatings typically include multiple layers of evaporated/sputtered materials with alternating high and low refractive indices. Standard ophthalmic grade coatings reduce normal incident reflection to about 1% to 2%, while the normal incident reflection of uncoated surfaces of lenses, which typically have refractive indices above 1.5 and even above 1.6, are in the range of 4% to 5% per surface. For example, the coating may be essentially a grating. In this case, it is desired that the difference between each functional layer is maximal. This first step may increase the gap between a coated blue reflector (5-30% reflection) and an uncoated surface. Typical anti-reflective coatings are adapted for different lens materials, and have a low reflectivity, ranging between 1% and 2%.
[0058] In several embodiments of the invention, the coating process providing spectral selective pattern may be adapted to apply multi-layered coating structures (as described below) on top of the above-described anti-reflective coating.
[0059] In 204, a masking process is applied, in order to further perform material deposition by blocking certain areas with a patterning mask. Masking techniques may be performed, inter alia, by printing, marking, taping, plate masking or other techniques. Generally, such masks may be separate physical elements (plate masking); however, practically, coating using vapor deposition (e.g. CVD or PVD), utilizes a masking pattern deposited on the surface to be further coated. Generally, a specifically designed mask is used to block selected regions in a manner to protect them from interaction with a material being deposited, in the 206 deposition process. Mask geometry (i.e. a pattern of blocking and transmitting regions) is defined according to a predetermined pattern to be obtained on the lens (referring back to
[0060] In 206, multiple layers, forming together the desired spectral selective optical coating, are successively applied/deposited to the masked lens surface, i.e. to the anti-reflective coating on the surface of the lens in the present example. It should be noted that the provision of any base anti-reflective coating is generally optional, and the multi-layered spectral selective optical coating is designed either to be applied directly on the lens surface, or to be compatible with and to be applied on, the base anti-reflective coating. In certain embodiments, the application of the multilayered spectral selective coating structure provides an increased reflectance of the selected spectral ranges in the unmasked regions (regions not blocked by the mask). Examples of such multi-layered spectral selective coating are provided in reference to
[0061] According to certain embodiments, including those where the back surface of the lens unit is to be patterned, the use of a base anti-reflective coating and the spectral selective coating pattern thereon, increases the contrast between regions that are coated with the spectral selective reflective multi-layered coating structure (regions R1 in
[0062] In 208, the mask is removed. According to certain embodiments, mask removal can be performed via selective material removal process, through the use of a combination of different processes, using, inter alia, a wet chemical process, an oxidative process, a plasma process, or a mechanical process. Mask removal results in clean surfaces, leaving the underlying surface of the lens, or of the respectively anti-reflective coated surface, intact.
[0063] Optionally, further coating steps may be performed, for example, an application of an anti-smudge layer through thermal evaporation or other processes such as dip coating, spin coating or spray coating or cloth wiping of a chemical linker compound possessing hydrophobic or oleophobic properties.
[0064]
[0065]
[0066] Turning back to
[0067] In general, and in line with further analysis below, the spectrally selective pattern geometry may be designed under design constraints that affect the number of spatial transitions along a certain line (e.g. lateral)/axis (e.g. meridian) of the lens unit. According to several embodiments, there is at least one line/axis along the lens unit, such that there are at least three spatial transitions, preferably at least five spatial transitions or more between different spectral responses, i.e. between the adjacent regions of different spectral responses. Further, according to other design constraints, the pattern shape may be constrained so that there is no such line/axis along the lens unit for which there are more than 21 spatial transitions, preferably no more than 15 spatial transitions, and more preferably no more than 9 spatial transitions.
[0068] The following is a brief description of how the spectral/wavelength selectivity of different regions of the lens unit can be measured.
[0069] Continuing with the above example and the approximate values of reflectance for light normally incident on the back surface of the lens unit at wavelengths of about 450 nm and 625 nm, the spectral selectivity can be described. The ratio between the reflectance in the coated regions and the uncoated regions at 450 nm is about 23%:1.5% or about 15. However, the reflectance in other spectral bands also varies as a result of the application of spectrally selective coating. Therefore, in some cases it is more appropriate to consider a refined selectivity measure which is normalized by the response in a second wavelength or spectral band, thus for example the ratio considered above can be normalized by reflectance at about 625 nm. Performing this normalization separately in the different regions of the spectral selective pattern and calculating the normalized ratio provides a refined selectivity measure. The refined selectivity measure may be calculated for the response (the optical property) which may be either reflectance or transmission as follows:
[0070] The refined selectivity measure may be defined as the response in a first wavelength band in a first region, divided by the response in a second wavelength band in a first region. Alternatively, the refined selectivity measure may also be defined as the response in a first wavelength band in a second region, divided by the response in a second wavelength band in a second region.
[0071] Taking into account the concrete example described above, and the specific approximate values provided above for the reflection coefficients for normal incident light at 440 nm and 625 nm from the back surface of the lens unit, the spectral selectivity measure is about (23%:2.5%)/(1.7%:1.5%); that is about 8. As mentioned above, the refined spectral selectivity measure may be used also with respect to a spectrally selective transmission response, and also may be used with respect to a combination thereof.
[0072]
[0073] Thus, according to certain embodiments, the coating structure comprises a multi-layered coating structure being configured for coating the back surface of the lens, the multi-layered coating structure comprising at least one patterned layer comprising the spectral selective pattern. According to some embodiments, the multi-layered coating structure comprises at least one reflective layer having reflective properties being configured to reflect light at wavelengths in the range of about 400 nm to 500 nm. In other words, the invention increases the overall exposure of the eye to blue light. For example, the blue wavelength range is {tilde over (λ)}peak=465 nm (half-band width 25 nm=>440 nm to 490 nm). According to such embodiments the at least one reflective layer is patterned. Further, according to such embodiments, the at least one reflective layer has a reflection coefficient in the range of about 440 nm to 500 nm being higher than 10%, preferably higher than 20%, and, more preferably, higher than 25%. According to various embodiments the multi-layered coating structure of the lens unit further comprises an anti-reflective layer interfacing the back surface of the lens.
[0074] According to certain embodiments, production of the spectral pattern can be performed by tinting the lens (substrate) according to specific geometrical and spectral parameters of the pattern to be produced in the lens unit. According to such embodiments, the process 200 may be modified and reordered as follows:
[0075] In step 1, a masking process is applied in order to further perform tinting through a printed/template patterning mask. Masking techniques may be performed as discussed above. Mask geometry is defined according to a predefined pattern to obtain a certain pattern geometry.
[0076] In step 2, a tint is applied, whereas, for example, tint may be successively applied by partial immersion in tint baths, typically at elevated temperatures for controlled and varying time periods. An immersion process may be used, and partial immersion for different periods of different regions of the lens may allow for forming a tint gradient pattern. As a result of different levels of tinting, the regions of different spectral properties may be created, and the spectral properties, defining either reflectance or transmission response in the respective point/site/location in the lens plane, may generate a spectrally gradient pattern formed by gradually varying spectral properties and, accordingly, gradually varying spectral response (as an alternative to a discrete spectral selective pattern). In general, the application of gradient patterns may smooth the transitions in the optical response between different regions of the lens and reduce higher frequency components content in the generated spectral selective modulation of light directed to the eye, which is further discussed below.
[0077] In step 3, the mask is removed. According to certain embodiments, the mask removal can be performed via selective material removal process, using, inter alia, a wet chemical process, an oxidative process, a plasma process or a mechanical process. Mask removal results in clean surfaces, leaving the underlying surface of the lens surface intact, with the tinted pattern being embedded within the lens volume.
[0078] In step 4, which in some embodiments is optional, an anti-reflective coating is applied to the entire surface of the lens. The anti-reflective coating may be similar to the anti-reflective coating described above. Applying a tint may be performed with a reflective tint for a reflective spectral selective response, or with spectral selective absorbing tint to generate a transmission spectral selective response. Application of an anti-reflective coating may be performed before or after the tinting procedure, depending on the chemical and physical characteristics of the tinting. For example, an anti-reflective coating can be tinted by printing a tinted layer on the top surface of the anti-reflective coating.
[0079] Turning to
[0080] In
[0081]
[0082] In the figure, this is illustrated by different gray levels in different positions in the illustrated lens. The gradient forms a smooth transition from a first spectral property on the lens designated in dark gray, to regions of the lens having a second spectral property, designated in white. The transition profile (between zones of different transmission) generates the desired flicker mentioned above. Such a pattern may be produced by different methods including, inter alia, tinting, and, in particular, through an immersion process using partial immersion to provide partial tinting. The spectral selective pattern is thus adapted to create a wavelength dependent flicker, through relative movement of at least one of user's eyes and head with respect to the environment. The wavelength dependent flicker may be in a frequency range of about 0.2 Hz to 20 Hz.
[0083] In general, the spectrally selective patterns may be personalized, either to improve their effectiveness in mitigating the propagation of an eye disorder, to correct specific sight deficiencies in each of the different eyes, or to provide other values such as commercial values or charm, e.g. to provide a custom shape that is attractive to young children, to provide indication of manufacturing, or to enable a visual trademark on the lens unit.
[0084]
[0085] An example of a non-symmetric pattern which may be applied according to different embodiments, and which comprises low spatial frequency components, is provided in
[0086] It should be emphasized that by selecting an appropriate non-symmetrical pattern, spectral selective light modulation may be generated through different motions (rotations or translations), even if the light is rather uniform.
[0087]
[0088] The amount of light following the various paths depends also on the respective position and orientation of the user and his eyes (compound positioning of the head, the eyes, the eyewear and lens unit, and of potential occlusions) with respect to light sources and ambient lighting conditions in the environment in which the user is situated. To illustrate the effect of the spectral selective pattern on the amount and spectral properties of light reaching the eye, relative movements and changes in the relative compound positioning of the above listed elements involved should be considered. In particular, several relative movement examples are outlined as follows: (i) head rotation with respect to a certain point-like light source and how it affects light reflection from the back surface of the lens unit reaching the eye, (ii) eye rotation and how it affects light reflection from the back surface of the lens unit reaching the eye, and (iii) translational movement between the user and a light source and how it affects light transmitted to the eye. For simplicity, a point-like light source is considered. These simplified examples are for explanation purposes and can be generalized to compound movement, to general lighting conditions, and to different types of spectral selective patterns. Various light sources may be used in an indoor environment. For example, the light source may be light emitted from a computer screen, light emitted from an overhead fixture, or sunlight entering through a window. These different light sources are oriented differently with respect to the eyewear. For example, the light emitted from a computer screen is transmitted through the lens unit towards the eye. Light emitted from an overhead fixture may be transmitted through the lens unit, or reflected off the concave side of the lens unit towards the eye, depending on the location of the fixture with respect to the lens and eye. In indoor settings, these light sources of the input light (e.g. window, lamps or media or computer screens) are relatively static as fixtures, so when an eyeglasses wearer moves his/her head or eyes, the position on the lens, through which the light rays enter the eye, varies. With a spatially variable selective interference filter over the surface of the lens, the rays of light transmitted through a coated area on the lens unit are partially or fully reflected. The rays transmitted through an uncoated area are reflected or transmitted differently. This induces a “flicker”, or a variability in the signal reaching the eye. It is possible to generate low frequencies (<1 Hz) as a result of changes in angular reflection/transmission of indoor light sources. For explanation purposes, consider first two simplified cases of relative motion: (i) coupled head and eye rotation (moving together) and (ii) independent eye rotation. For coupled head and eye rotation and a sufficiently distant light source, it is also possible to consider, for the sake of explanation, that the spatial distribution of input light incident on the back surface of the lens, changes its position on the back surface of the lens according to head rotation. Thus, the modulation of the light reflected into the eye may be mainly according to head rotation, eye rotation and properties of the spatially variable selective interference filter formed on the back surface of the lens.
[0089] Reference is made to
[0090] Reference is made to
[0091] Referring to
[0092] Further, the distribution of light impinging on the back surface of the lens unit may not be homogeneous, e.g. due to partial occlusions of the back surface of the lens unit by the head. Also, the spectral selective pattern may be not symmetric. Consequently, rotation of the head changes the relative amount of light falling on the first and second regions of the spectral selective pattern, and thus further affects a change in the amount of light reflected into the eye.
[0093] Rotation/movement of the eyes, independent of head rotation, and accordingly independent from lens unit rotation, practically does not affect the distribution of the input light impinging on the lens unit. However, such eye rotation does affect the light signal (amount and spectra) reaching the eyes. Generally, it should be noted that light falling on the lens unit may be, and in most cases is, non-uniformly distributed on the lens unit surface. This may be due to different factors, such as the position of different light sources with respect to the lens unit, obstructions (e.g. by the nose) or possibly non-planarity of any lens unit surfaces. When considering the distribution of light falling on the back surface of the lens unit, this may be even more pronounced, e.g. due to more prominent obstacles. Consequently, the distribution of light incident on different features/regions of the spectral selective pattern may be not uniform. When considering light reflection from the back surface of the lens unit, and how light reaching the eye is modulated due to eye rotation, it may be beneficial to consider a combined effect formed by the effect of (i) non-uniformity of the distribution of light on the surface of the lens unit and (ii) lateral non-uniformity of the distribution of wavelength selective regions of the spectral pattern. In this case, i.e. the case where either the distribution of light or that the pattern on the lens unit is non-uniform, the rotation of the eyes with respect to the spectral pattern, for a given input light propagation path on the spectral pattern, results in a change in the amount of light, at specific spectral bands, directed into the eye from the lens unit. Specifically, in such a case, for the spectrally selective pattern, rotation of the eyes with respect to the pattern, results in a temporal modulation of the amount of reflected light, predominantly at the specific waveband for which the spectrally selective pattern/coating is designed. This temporal modulation depends on the rate of rotation/movement of the eye, and also on the non-uniformity of the combined light distribution.
[0094] Similarly, considering light transmission through the lens unit and how in such a case light reaching the eye is temporally modulated due to eye rotation, it may be useful to consider (i) non-uniformity of the distribution of light on the front surface of the lens unit and (ii) lateral non-uniformity of the distribution of wavelength selective regions of the spectral pattern.
[0095] The above described example of
[0096] Reference is now made to
[0097] The following is the description of a frequency components analysis in the spectral selective signal.
[0098] Temporal modulation of the light introduced to the eye may be analyzed in terms of its frequency components and would depend on the relative positions of the head, eyes, eyewear and lens unit with respect to the input light propagation, and with respect to the type and distribution of the input light. Temporal modulation rate would also depend on the spectral selective pattern geometry.
[0099] The actual amount of light reflected from the back surface of the lens unit into the eye can be considered by regarding, in ‘stage 1’, how much light can be reflected from each point on the back surface of the lens unit into the eye under complete reflectance, generating a ‘light potential reflection distribution’ (LPR distribution) which is dependent on (i) the environment (light sources and scene geometry and spectral composition of the input light), (ii) the head and eye and lens unit relative positions and orientations, but is not dependent on the (local) pointwise reflection coefficient (assuming “perfect” reflection). Then, in ‘stage 2’, the actual amount of light reflected from the back surface of the lens unit into the eye can be estimated by multiplying this light distribution by the pattern dependent, spectral dependent, reflection coefficient, and then integrated over the entire lens unit area.
[0100] Coupled head and eye movement, and in particular rotation, induces a change in the LPR distribution and induces a movement of the spectral selective pattern relative to this distribution. The rate of modulation of the spectral response is proportional, inter alia, to the rate of relative motion, and, in particular, to the rate this LPR distribution crosses the pattern spatial transitions. Thus, if, for example, the pattern features are arranged periodically with the 5 mm wide intervals (10 mm periodicity) and the LPR distribution moves over the lens unit at a constant rate in proportion to the head movement, say, at about 10 mm per second, then the dominant frequency of modulation of the light reflected into the eye at the specific spectral band is about 1 Hz.
[0101] The rate of movement of this LPR distribution over the lens unit as a result of the head rotation is approximately proportional to linearized lens angular speed. Thus, if the head rotates at 20 deg/sec and the radius of rotation of the lens is about 100 mm, then the linearized rate of movement of the LPR distribution across the lens unit is about 35 mm/sec. For a periodic pattern with the period of 25 mm, this would imply an induced modulation of the wavelength specific signal having a dominant frequency at about 1.4 Hz.
[0102] The following Table 1A outlines the approximate assumed conversion from degrees to mm on the lens based on the Back vertex distance (BVD), the distance between the lens and the eye rotation center, and the Head vertex distance (HVD), the distance between the lens and the head rotation center.
TABLE-US-00001 TABLE 1A Back vertex distance (BVD) [mm] 27 Head Vertex Distance (HVD) [mm] 100 Degrees to MM on Lens (from 0.47 Eye Rotation Center (ERC)) Degrees to MM on Lens (from 1.75 Head Rotation Center HRC)
[0103] The following Table 1B outlines different parameters that may be experienced by a user with some assumptions of values for different translational motions when the minimal translational motion is referred to as slow, and the minimal translational motion is referred to as fast:
TABLE-US-00002 TABLE 1B Unit Slow (min) Fast (max) Eye Velocity deg/s 150 300 Head Velocity deg/s 20 100 On-Off distance mm 500 1000 Walking velocity mm/s 500 1000
[0104] The following Table 1C outlines possible head rotation and eye frequencies for different periodicity (on-off distance):
TABLE-US-00003 TABLE 1C Frequency (Hz) Frequency (Hz) Time (s) On-Off distance mm 5 Head Rotation 7.0 9.4 0.1 Eye Rotation 14.1 28.3 0.1 On-Off distance mm 10 Head Rotation 3.5 4.7 0.3 Eye Rotation 7.1 14.1 0.1 On-Off distance mm 20 Head Rotation 1.7 2.4 0.6 Eye Rotation 3.5 7.1 0.3
[0105] Table 1D below provides approximate ranges for such dominant frequencies depending on different head rotation rates and different patterns that are approximated as periodic patterns of certain widths/periods.
TABLE-US-00004 TABLE 1D Approximate Values Head vertex distance, d, (head radius 100 mm of rotation; lens surface to rotation axis) Low High Head rotation radial velocity, v, 20 100 (degrees/second) Linearized rate of movement of light 35 175 distribution along the lens unit surface. [mm/sec] (2 × π × d ) × v/360 Pattern periodicity repetition 10/30/40 10/30/40 component (2 × pattern width) [mm] (Patterns widths: 5/15/20 mm) Dominant frequency component 3/1/0.7 Hz 17.4/5.8/4.3 Hz
Table 1E below provides approximate ranges for such dominant frequencies depending on different eye rotation rates and different patterns components considered as periodic patterns of certain widths.
TABLE-US-00005 TABLE 1E Approximate Values Eye vertex distance (eye radius of 27 mm rotation; lens surface to rotation axis) Low High Eye rotation radial velocity 150 300 (degrees/second) Linearized rate of movement of center 70 140 of LPR distribution along the lens unit surface. [mm/sec] Pattern periodicity repetition 10/30/40 10/30/40 component (2 × pattern width) [mm] (Patterns widths: 5/15/20 mm ) Dominant frequency component 4.2/1.4/1 Hz 8.4/2.8/2.1 Hz
[0106] The amount of light reflected into the eye due to the spectrally selective reflection and as a function of eye movement depends on (i) the compound pattern of light that is generated by the uniformity/non-uniformity of the spectral selective pattern geometry and by the uniformity/non-uniformity of the light distribution falling on the lens unit and (ii) the relative position of the eye (as function of the eye movement) which results in that different parts of this compound pattern of light are reaching the eye. Consequently, rotation of the eye will generate a rotation dependent signal and different rates of rotation would result in different temporal signals (different frequencies). However, it is necessary that the compound pattern will have spatial components that will correspond to the eye response to generate these eye position dependent differences and respective signals.
[0107] The eye integrates light coming from the lens unit non-uniformly, giving higher weight to light reaching the eye from the center of the field of view (FOV) being the region stimulating foveal vision. Eye rotation changes the orientation of the central field of view (orientation of the line of sight), and, in particular, changing the orientation of the center of the field of view, thereby moving the line of sight of the eye along the lens unit and changing the integrated signal. For a simplified explanation, the integration performed by the eye during eye rotation can be considered as an integrating window, i.e. a low pass filter passing over the pattern.
[0108] If, for example, the eye rotates at about 150 deg/sec, at a radius of rotation with respect to the lens unit of about 27 mm, the linearized rate of movement of the center of the field of view along the lens unit is about 70 mm/sec. If, for, example, the spectral selective pattern has a low frequency component that, in the spatial domain, corresponds to a pattern period of 40 mm, then the signal would comprise a dominant component at about 1.7 Hz.
[0109] The spectral selective modulation of light entering the eye as a result of translation of the user with respect to the environment, can be analyzed along similar lines as head rotation, with appropriate modifications. Results, indicating predominant frequency components that are evident in the spectral selective light modulation, are summarized in Table 1E above.