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WO2025220552A1 - Optical system device - Google Patents

Optical system device

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Publication number
WO2025220552A1
WO2025220552A1 PCT/JP2025/014104 JP2025014104W WO2025220552A1 WO 2025220552 A1 WO2025220552 A1 WO 2025220552A1 JP 2025014104 W JP2025014104 W JP 2025014104W WO 2025220552 A1 WO2025220552 A1 WO 2025220552A1
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Prior art keywords
optical system
light
distance
lenses
lens
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PCT/JP2025/014104
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French (fr)
Japanese (ja)
Inventor
晃史 縄田
田中覚
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Scivax Corp
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Scivax Corp
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Publication of WO2025220552A1 publication Critical patent/WO2025220552A1/en
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00Simple or compound lenses

Definitions

  • the present invention relates to an optical system device.
  • Three-dimensional measurement sensors using the time-of-flight (TOF) method are being adopted in mobile devices, cars, robots, and more. This measures the distance to an object from the time it takes for light from a light source to be irradiated onto the object, reflected, and returned. If the light from the light source is irradiated evenly over a specified area of the object, the distance at each irradiated point can be measured, making it possible to detect the three-dimensional structure of the object.
  • TOF time-of-flight
  • the above sensor system consists of a transmitter (Tx module) that irradiates light onto the target, and a receiver (Rx module) that detects the light reflected from each point on the target.
  • the transmitter is mainly composed of an irradiation unit that irradiates light and an optical element that controls and irradiates the light to a specified area.
  • the receiver is mainly composed of a camera unit that receives light and a calculation unit that calculates the distance to the target from the signal received by the camera unit.
  • the receiver's camera unit and calculation unit can use existing CMOS imagers and CPUs, so the transmitter is the distinctive part of the above system.
  • the transmitter's optical elements include, for example, a diffusion filter that transmits light from the irradiating section, shaping the light and irradiating a target within a specified range with uniform light.
  • a diffusion filter may be a microlens array with randomly arranged lenses.
  • TOF requires long-distance measurements, and the irradiated light must have sufficient light intensity and contrast to enable such measurements.
  • the irradiated light from a diffusion filter is highly uniform, the light intensity and contrast are low, making it unsuitable for long-distance measurements.
  • an optical system device uses an optical element to control the light of an irradiating unit to irradiate a dot pattern, which is a distribution of multiple dots of light.
  • a dot pattern has lower resolution than a diffusion filter, but the light intensity and contrast of each dot are higher.
  • One optical system device that irradiates a dot pattern includes an optical element with a regular arrangement of lenses at a predetermined pitch P and an irradiating unit disposed a predetermined distance from the optical element.
  • the optical element and the irradiating unit are arranged to satisfy the following formula A, where ⁇ is the wavelength of the light from the light source, n is a natural number greater than or equal to 1, and L0 is the distance between the optical element and the light source of the irradiating unit (see, for example, Patent Document 1):
  • the lens pitch P is restricted by the light source pitch, and so the lens pitch depends on the light source pitch and arrangement.
  • Conventional light sources use VCSELs (Vertical Cavity Surface Emitting Lasers), which are expected to produce high output with little power.
  • Most VCSELs are arranged in a hexagonal configuration, with quadrangular arrangements being costly.
  • One option is to make the planar shape of the lens hexagonal, but with a hexagonal planar shape, it is difficult to design the irradiated dot pattern to be square. Therefore, it is preferable to use a lens with a square planar shape or a shape similar to this.
  • the short side of the lens is designed to match the minimum pitch P of the light source and the long side is designed to match the second pitch ( ⁇ 3)P (see Figure 57 in Cited Document 1).
  • ⁇ 3P the second pitch
  • the present invention aims to provide an optical system device that has a hexagonal array of light sources, has a high contrast dot pattern even when the lens plane is rectangular or has a similar shape, and allows the distance between the lens and light source to be reduced.
  • the optical system device of the present invention includes an optical element in which lenses that transmit light of wavelength ⁇ and have a width P in the x direction passing through the center of the optical axis and a width ( ⁇ 3)P/2 in the y direction are arranged in a regular hexagonal array with a pitch P in the x direction about the center of the optical axis, and an irradiation unit in which light sources that irradiate a plurality of the lenses with light of wavelength ⁇ are arranged in a regular hexagonal array with a pitch P in the x direction, and wherein, when a focal length of the lens is f and n is a natural number of 1 or more, a distance L1 between the irradiation unit and a focal position of the optical element is expressed by the following formula 1:
  • the present invention is characterized in that:
  • the optical element has a quadrangular lens shape in the xy plane, for example, a rectangular shape.
  • the distance L1 is expressed by the following formula 2: It is preferable to satisfy the following.
  • the distance L1 is expressed by the following formula 3: It is preferable to satisfy the following.
  • the distance L 1 is expressed by the following formula 4: It is preferable to satisfy the following.
  • the optical system device of the present invention can provide an optical system device that produces a high contrast dot pattern even when the light sources are arranged in a hexagonal array and the lenses are rectangular or similarly shaped. It can also provide an optical system device that allows the distance between the lens and the light source to be shortened.
  • FIG. 1 is a schematic cross-sectional view showing an optical system device of the present invention.
  • FIG. 1 is a plan view showing an optical system device of the present invention.
  • FIG. 1 is a plan view showing an optical system device of the present invention.
  • FIG. 1 is a plan view showing an optical system device of the present invention.
  • FIG. 10 is a diagram showing a light distribution in the far field of an irradiation unit used in a simulation.
  • 1A is a schematic plan view of the optical system device of the present invention in Simulation 1
  • FIG. 1B is a projection view thereof.
  • 1A is a schematic plan view of a conventional optical system device in simulation 1
  • FIG. 1B is a projection view thereof.
  • 1A is a schematic plan view of the optical system device of the present invention in simulation 2
  • FIG. 1B is a projection view thereof.
  • 1A is a schematic plan view of a conventional optical system device in simulation 2
  • FIG. 1B is a projection view thereof.
  • 1A
  • the optical system device of the present invention is mainly composed of an optical element 1 having periodic lenses 11 and an irradiation unit 2 having a periodic light source that irradiates light of wavelength ⁇ .
  • Optical element 1 transmits light of wavelength ⁇ and is composed of lenses with a width P in the x direction passing through the optical axis center and a width ( ⁇ 3)P/2 in the y direction, arranged in a regular hexagonal array with a pitch P in the x direction about the optical axis center.
  • a regular hexagonal array of lenses means, in other words, that the lenses are arranged periodically with a pitch P in the x direction and a pitch ( ⁇ 3)P/2 in the y direction perpendicular to the x direction, as shown in Figure 2, with adjacent rows in the x direction offset by P/2.
  • BeamPROP manufactured by Synopsys
  • Figure 7(b) shows the image projected 1 m from optical element 1A.
  • the average contrast of each dot in this case was 14.40.
  • the optical element 1B used in the conventional optical system device was a square array of lenses 11B arranged around the optical axis center at a pitch P in the x direction and ⁇ 3P in the y direction.
  • Lenses 11B also have a refractive index of 1.5 and a focal length f of 12 ⁇ m.
  • Figure 8(b) shows the image projected 1 m away from optical element 1B.
  • the average contrast of each dot in this case was 6.62.
  • the optical system of the present invention Comparing the optical system of the present invention with the conventional optical system, it can be seen that although L1 is the same at 426 ⁇ m, the optical system of the present invention has a higher average contrast than the conventional optical system, and the dots in the projected image are clearer.
  • the irradiation section of the optical system device of the present invention uses multiple light sources 20B arranged in a regular hexagonal array at a pitch P in the x direction.
  • the optical element 1C of the optical system device of the present invention uses lenses 11C arranged in a regular hexagonal array with a pitch P around the optical axis center in the x direction, as shown in Figure 9(a).
  • Lenses 11C also have a refractive index of 1.5 and a focal length f of 10 ⁇ m.
  • Figure 9(b) shows the image projected 1 m away from optical element 1C.
  • the average contrast of each dot in this case was 41.96.
  • the optical element 1B of the conventional optical system device was configured with lenses 11B arranged in a square array with a pitch P in the x direction and ⁇ 3P in the y direction around the optical axis center.
  • Lenses 11B also had a refractive index of 1.5 and a focal length f of 12 ⁇ m.
  • Figure 10(b) shows the projected image 1 m away from optical element 1B.
  • the average contrast of each dot in this case was 28.61.
  • the optical system of the present invention When comparing the optical system of the present invention with the conventional optical system, it can be seen that although L1 is the same at 1277 ⁇ m, the optical system of the present invention has a higher average contrast than the conventional optical system, and the dots in the projected image are clearer.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Lenses (AREA)

Abstract

The purpose of the present invention is to provide: an optical system device that provides a high contrast for a dot pattern even when light sources are arranged in a hexagonal pattern and lenses are square or of a similar shape; and an optical system device capable of shortening the distance between a lens and a light source. Provided is an optical system device comprising: an optical element in which lenses, through which light having a wavelength of λ is transmitted and which each have a width of P in the x direction passing through the center of the optical axis and a width of (√3)P/2 in the y direction, are arranged in a regular hexagonal pattern at a pitch of P in the x direction passing through the center of the optical axis; and an irradiation unit in which light sources for irradiating a plurality of the lenses with light having a wavelength of λ are arranged in a regular hexagonal pattern at a pitch of P in the x direction. When f represents the focal length of the lenses and n represents a natural number greater than or equal to 1, the distance L1 between the irradiation unit and the focal position of the optical element satisfies formula 1.

Description

光学系装置optical system equipment

 本発明は、光学系装置に関するものである。 The present invention relates to an optical system device.

 タイムオブフライト(TOF)法を用いた3次元計測センサが携帯機器、車、ロボット等に採用されようとしている。これは、光源から対象物に照射された光が反射され戻って来るまでの時間から対象物の距離を計測するものである。光源からの光が対象物の所定の領域に均一に照射されていれば、照射されている各点における距離を測定でき対象物の立体構造が検知できることになる。 Three-dimensional measurement sensors using the time-of-flight (TOF) method are being adopted in mobile devices, cars, robots, and more. This measures the distance to an object from the time it takes for light from a light source to be irradiated onto the object, reflected, and returned. If the light from the light source is irradiated evenly over a specified area of the object, the distance at each irradiated point can be measured, making it possible to detect the three-dimensional structure of the object.

 上記センサーシステムは対象物に光を照射する送信機(Txモジュール)と、対象物の各点から反射してきた光を検知する受信機(Rxモジュール)とからなる。送信機は、光を照射する照射部と、当該光を所定領域に制御して照射する光学素子とで主に構成される。また、受信機は、光を受光するカメラ部と、当該カメラ部が受光した信号から対象物の距離を算出する演算部とで主に構成される。ここで受信機のカメラ部と演算部は既存のCMOSイメージャとCPUを使用できるため、上記システムの特徴的な部分は、送信機となる。 The above sensor system consists of a transmitter (Tx module) that irradiates light onto the target, and a receiver (Rx module) that detects the light reflected from each point on the target. The transmitter is mainly composed of an irradiation unit that irradiates light and an optical element that controls and irradiates the light to a specified area. The receiver is mainly composed of a camera unit that receives light and a calculation unit that calculates the distance to the target from the signal received by the camera unit. Here, the receiver's camera unit and calculation unit can use existing CMOS imagers and CPUs, so the transmitter is the distinctive part of the above system.

 送信機の光学素子には、例えば、照射部の光を透過させることで当該光を整形し、所定範囲の対象物に対して均一な光の照射を行う拡散フィルタがある。当該拡散フィルタとしては、各レンズをランダムに配置したマイクロレンズアレイ等が用いられている。 The transmitter's optical elements include, for example, a diffusion filter that transmits light from the irradiating section, shaping the light and irradiating a target within a specified range with uniform light. Such a diffusion filter may be a microlens array with randomly arranged lenses.

 一方、TOFには、遠距離測定のニーズがあり、照射光には、遠距離測定ができるだけの光強度やコントラストが必要となる。しかし、拡散フィルタは照射光の均一性が高い分、光強度やコントラストが低くなるため、遠距離測定には不向きであった。 On the other hand, TOF requires long-distance measurements, and the irradiated light must have sufficient light intensity and contrast to enable such measurements. However, because the irradiated light from a diffusion filter is highly uniform, the light intensity and contrast are low, making it unsuitable for long-distance measurements.

 そこで、電力を節減し、なおかつ強い光の信号を送信できる送信機として、照射部の光を光学素子で複数のドット光の分布であるドットパターンに制御して照射する光学系装置が検討されている。ドットパターンは、拡散フィルタに比べて解像度は低くなるが、各ドットの光強度やコントラストは高くなる。ドットパターンを照射する光学系装置としては、所定ピッチPのレンズを規則配列した光学素子と、当該光学素子から所定距離空けて配置された照射部とからなるものがある。ここで、光学素子と照射部は、光源の光の波長をλ、nを1以上の自然数、光学素子と照射部の光源の距離をLとすると、下記式Aを満たすように配置される(例えば、特許文献1)。
Therefore, as a transmitter that can save power and transmit a strong optical signal, an optical system device has been considered that uses an optical element to control the light of an irradiating unit to irradiate a dot pattern, which is a distribution of multiple dots of light. A dot pattern has lower resolution than a diffusion filter, but the light intensity and contrast of each dot are higher. One optical system device that irradiates a dot pattern includes an optical element with a regular arrangement of lenses at a predetermined pitch P and an irradiating unit disposed a predetermined distance from the optical element. Here, the optical element and the irradiating unit are arranged to satisfy the following formula A, where λ is the wavelength of the light from the light source, n is a natural number greater than or equal to 1, and L0 is the distance between the optical element and the light source of the irradiating unit (see, for example, Patent Document 1):

国際公開第2021/229848WO 2021/229848

 近年、光学系装置の小型化、薄型化が望まれている。そのためには、マイクロレンズと光源の距離Lを小さくする必要がある。当該距離Lを小さくするためには、式Aより光学素子のレンズのピッチPを小さくすればよい。 In recent years, there has been a demand for smaller and thinner optical devices. To achieve this, it is necessary to reduce the distance L0 between the microlens and the light source. To reduce this distance L0 , it is sufficient to reduce the lens pitch P of the optical element, based on Equation A.

 一方、レンズのピッチPは光源のピッチによって制約を受けるため、レンズのピッチは、光源のピッチや配列に依存する。ここで、従来の光源は、少ない電力で高出力が見込めるVCSEL(Vertical Cavity Surface Emitting LASER)を用いられている。当該VCSELは六方配列が主流であり、四方配列のものはコストが掛かる。そこで、レンズの平面形状を六角形にすることが考えられるが、平面形状が六角形のものは、照射されるドットパターンを四角形状に設計するのが難しい。したがって、レンズの平面形状は四角形又はこれに近似する形状のものを用いる方が好ましい。 On the other hand, the lens pitch P is restricted by the light source pitch, and so the lens pitch depends on the light source pitch and arrangement. Conventional light sources use VCSELs (Vertical Cavity Surface Emitting Lasers), which are expected to produce high output with little power. Most VCSELs are arranged in a hexagonal configuration, with quadrangular arrangements being costly. One option is to make the planar shape of the lens hexagonal, but with a hexagonal planar shape, it is difficult to design the irradiated dot pattern to be square. Therefore, it is preferable to use a lens with a square planar shape or a shape similar to this.

 光源を六方配列のVCSEL、レンズの平面形状を四角形にしたものとしては、従来、レンズの短辺を光源の最小ピッチP、長辺を2番目のピッチ(√3)Pに合わせて設計したものがある(引用文献1の図57参照)。しかし、この場合には最小ピッチPと2番目のピッチ(√3)Pの両方が式Aを満たすようにするために、式Aのnを3の倍数にする必要がある。すると距離Lは大きくなるため、光学系装置の小型化、薄型化の妨げになる。 In a conventional case where the light source is a hexagonal array VCSEL and the planar shape of the lens is a square, the short side of the lens is designed to match the minimum pitch P of the light source and the long side is designed to match the second pitch (√3)P (see Figure 57 in Cited Document 1). However, in this case, in order for both the minimum pitch P and the second pitch (√3)P to satisfy Formula A, it is necessary to make n in Formula A a multiple of 3. This increases the distance L0 , which hinders efforts to make the optical device smaller and thinner.

 そこで本発明は、光源が六方配列で、レンズの平面が四角形又はこれに近似する形状でもドットパターンのコントラストが高く、またレンズと光源間の距離を小さくできる光学系装置を提供することを目的とする。 The present invention aims to provide an optical system device that has a hexagonal array of light sources, has a high contrast dot pattern even when the lens plane is rectangular or has a similar shape, and allows the distance between the lens and light source to be reduced.

 上記目的を達成するために、本発明の光学系装置は、波長λの光を透過すると共に、光軸中心を通るx方向の幅がP、y方向の幅が(√3)P/2であるレンズが、当該光軸中心をx方向にピッチPで正六方配列にされた光学素子と、波長λの光を前記レンズの複数に照射する光源がx方向にピッチPで正六方配列にされた照射部と、を具備し、前記レンズの焦点距離をf、nを1以上の自然数とすると、前記照射部と前記光学素子の焦点位置との距離Lは、下記式1
を満たすことを特徴とする。
In order to achieve the above object, the optical system device of the present invention includes an optical element in which lenses that transmit light of wavelength λ and have a width P in the x direction passing through the center of the optical axis and a width (√3)P/2 in the y direction are arranged in a regular hexagonal array with a pitch P in the x direction about the center of the optical axis, and an irradiation unit in which light sources that irradiate a plurality of the lenses with light of wavelength λ are arranged in a regular hexagonal array with a pitch P in the x direction, and wherein, when a focal length of the lens is f and n is a natural number of 1 or more, a distance L1 between the irradiation unit and a focal position of the optical element is expressed by the following formula 1:
The present invention is characterized in that:

 この場合、前記光学素子は、レンズのxy平面の形状が四角形である方が好ましく、例えば、長方形とすることができる。 In this case, it is preferable that the optical element has a quadrangular lens shape in the xy plane, for example, a rectangular shape.

 また、前記距離Lが、下記式2
を満たす方が好ましい。
In addition, the distance L1 is expressed by the following formula 2:
It is preferable to satisfy the following.

 また、前記距離Lが、下記式3
を満たす方が好ましい。
In addition, the distance L1 is expressed by the following formula 3:
It is preferable to satisfy the following.

 また、前記距離Lが、下記式4
を満たす方が好ましい。
In addition, the distance L 1 is expressed by the following formula 4:
It is preferable to satisfy the following.

 本発明の光学系装置は、光源が六方配列で、レンズが四角形又はこれに近似する形状でもドットパターンのコントラストが高い光学系装置を提供することができる。また、レンズと光源間の距離を短くできる光学系装置を提供することができる。 The optical system device of the present invention can provide an optical system device that produces a high contrast dot pattern even when the light sources are arranged in a hexagonal array and the lenses are rectangular or similarly shaped. It can also provide an optical system device that allows the distance between the lens and the light source to be shortened.

本発明の光学系装置を示す概略断面図である。1 is a schematic cross-sectional view showing an optical system device of the present invention. 本発明の光学系装置を示す平面図である。FIG. 1 is a plan view showing an optical system device of the present invention. 本発明の光学系装置を示す平面図である。FIG. 1 is a plan view showing an optical system device of the present invention. 本発明の光学系装置を示す平面図である。FIG. 1 is a plan view showing an optical system device of the present invention. 本発明の光学系装置を示す平面図である。FIG. 1 is a plan view showing an optical system device of the present invention. シミュレーションに用いた照射部の遠方界における配光分布を示す図である。FIG. 10 is a diagram showing a light distribution in the far field of an irradiation unit used in a simulation. シミュレーション1における(a)本発明の光学系装置の概略平面図、および(b)投影図である。1A is a schematic plan view of the optical system device of the present invention in Simulation 1, and FIG. 1B is a projection view thereof. シミュレーション1における(a)従来の光学系装置の概略平面図、および(b)投影図である。1A is a schematic plan view of a conventional optical system device in simulation 1, and FIG. 1B is a projection view thereof. シミュレーション2における(a)本発明の光学系装置の概略平面図、および(b)投影図である。1A is a schematic plan view of the optical system device of the present invention in simulation 2, and FIG. 1B is a projection view thereof. シミュレーション2における(a)従来の光学系装置の概略平面図、および(b)投影図である。1A is a schematic plan view of a conventional optical system device in simulation 2, and FIG. 1B is a projection view thereof.

 以下に、本発明の光学系装置について説明する。本発明の光学系装置は、図1に示すように、周期的なレンズ11を有する光学素子1と、波長λの光を照射する周期的な光源を有する照射部2と、で主に構成される。 The optical system device of the present invention will be described below. As shown in Figure 1, the optical system device of the present invention is mainly composed of an optical element 1 having periodic lenses 11 and an irradiation unit 2 having a periodic light source that irradiates light of wavelength λ.

 光学素子1は、波長λの光を透過すると共に、光軸中心を通るx方向の幅がP、y方向の幅が(√3)P/2であるレンズが、当該光軸中心をx方向にピッチPで正六方配列にされたものである。レンズが正六方配列にされたものとは、換言すると、図2に示すように、x方向にピッチP、x方向に垂直なy方向にピッチ(√3)P/2で周期的に配列され、かつx方向の列は隣合う列と互いにP/2ずらして配列されたものを意味する。なお、本明細書では、便宜上、光学素子1の光軸の方向をz方向とし、x方向、y方向、z方向は互いに垂直な方向であるものとする。また、光軸中心とは、xy平面と光軸の交点を意味する。 Optical element 1 transmits light of wavelength λ and is composed of lenses with a width P in the x direction passing through the optical axis center and a width (√3)P/2 in the y direction, arranged in a regular hexagonal array with a pitch P in the x direction about the optical axis center. A regular hexagonal array of lenses means, in other words, that the lenses are arranged periodically with a pitch P in the x direction and a pitch (√3)P/2 in the y direction perpendicular to the x direction, as shown in Figure 2, with adjacent rows in the x direction offset by P/2. For convenience, in this specification, the direction of the optical axis of optical element 1 is referred to as the z direction, and the x, y, and z directions are assumed to be perpendicular to one another. Furthermore, the optical axis center refers to the intersection of the xy plane and the optical axis.

 また、レンズ11は、レンズ11から所定の距離f(f>0)離れた位置に焦点を有するものである。なお、本明細書において焦点距離とは、図1に示すように、焦点から最も近いレンズ表面と焦点の間の距離を意味する。また、レンズ11は、焦点がレンズ11の照射部側に位置するものが好ましい。 Furthermore, lens 11 has a focal point at a position a predetermined distance f (f>0) away from lens 11. Note that in this specification, focal length means the distance between the focal point and the lens surface closest to the focal point, as shown in Figure 1. Furthermore, it is preferable that lens 11 have a focal point located on the irradiation side of lens 11.

 レンズ11の形状は、ドットパターンに合わせて自由に設計することができる。たとえば、レンズ11の形状を球面レンズや非球面レンズにすることができる。また、レンズ11の形状は、例えば、凸レンズや凹レンズとすることもできる。また、レンズ11は、レンズとして機能すればどのようなものでもよく、例えば、フレネルレンズやDOEレンズ、メタレンズ等を用いることもできる。 The shape of lens 11 can be freely designed to match the dot pattern. For example, lens 11 can be a spherical lens or an aspherical lens. Lens 11 can also be a convex lens or a concave lens. Lens 11 can be any type that functions as a lens, and for example, a Fresnel lens, DOE lens, metalens, etc. can be used.

 また、レンズ11のxy平面の形状(以下、平面形状という)は、レンズ11の光軸中心をx方向にピッチPで正六方配列にできればどのような形状でもよい。例えば、図2に示すように、レンズ11の平面形状を四角形又はこれに近似する形状とすることができる。また、レンズ11の平面形状が四角形の場合、長方形である方が好ましいが、図3、図4に示すように平行四辺形やひし形とすることも可能である。また、四角形に近似する形状としては、図5に示すように、前記四角形の辺の形状を、例えば正弦波、矩形波、三角波又はのこぎり波のような波形状としたものなどが該当する。 Furthermore, the shape of the xy plane of the lenses 11 (hereinafter referred to as the planar shape) may be any shape as long as the optical axis centers of the lenses 11 can be arranged in a regular hexagonal array at pitch P in the x direction. For example, as shown in Figure 2, the planar shape of the lenses 11 can be a square or a shape approximating this. Furthermore, if the planar shape of the lenses 11 is a square, a rectangle is preferable, but it can also be a parallelogram or a rhombus as shown in Figures 3 and 4. Furthermore, shapes approximating a square include those in which the sides of the square have a wave shape such as a sine wave, rectangular wave, triangular wave, or sawtooth wave, as shown in Figure 5.

 また、光学素子1は、波長λの光を透過するレンズを形成することができればどのような材料を用いてもよく、例えばポリジメチルシロキサン(PDMS)等の樹脂やガラスを用いることができる。また、光学素子1は、レンズ11が成形できればどのように製造してもよく、例えば、インプリント法や射出成形等、従来から知られている方法を用いればよい。 Furthermore, the optical element 1 may be made of any material that can form a lens that transmits light of wavelength λ, and examples of such materials include resins such as polydimethylsiloxane (PDMS) and glass. Furthermore, the optical element 1 may be manufactured in any manner that can form the lens 11, and conventional methods such as imprinting and injection molding may be used.

 照射部2は、波長λの光をレンズ11の複数に照射する光源20がx方向にピッチPで正六方配列にされたものである。また、照射部2と光学素子1は、照射部2の光源20の光軸方向と光学素子1のレンズ11の光軸方向が一致するように配置される方が好ましい。光源20は、波長λの光をレンズ11の複数に照射できればどのようなものでもよい。照射部2の具体例としては、例えば、少ない電力で高出力が見込めるVCSEL(Vertical Cavity Surface Emitting LASER)を挙げることができる。VCSELは、発光面に垂直な方向に光を照射することができる光源20を複数有するものである。 The irradiation unit 2 has light sources 20 that irradiate multiple lenses 11 with light of wavelength λ, arranged in a regular hexagonal array at a pitch P in the x direction. Furthermore, the irradiation unit 2 and optical element 1 are preferably arranged so that the optical axis direction of the light sources 20 of the irradiation unit 2 coincides with the optical axis direction of the lenses 11 of the optical element 1. Any light source 20 can be used as long as it can irradiate multiple lenses 11 with light of wavelength λ. A specific example of the irradiation unit 2 is a VCSEL (Vertical Cavity Surface Emitting Laser), which is expected to produce high output with little power. A VCSEL has multiple light sources 20 that can irradiate light in a direction perpendicular to the light-emitting surface.

[照射部と光学素子の位置関係]
 図1に示すように、照射部2と光学素子1の焦点面との距離Lは下記式αを満たす場合に入射した光をコントラストの大きなドットパターンに変換できる。ここで、nは1以上の自然数、Pはレンズのx方向のピッチの大きさ、λは照射部2から入射する光の波長、fはレンズ11の焦点距離、a、bは許容される誤差を示す係数を意味する。なお、焦点面とは、レンズ11の光軸(z方向)と垂直で、レンズ11の焦点位置にある平面を意味する。また、距離Lは、光が媒質中を進むときと同時間内に真空中を進む距離(光路長)を意味し、媒質の屈折率をN、実際の距離をLとすると、それらの積NLで表される。
[Positional relationship between the irradiation unit and the optical element]
As shown in Figure 1, the distance L1 between the irradiation unit 2 and the focal plane of the optical element 1 can convert incident light into a dot pattern with high contrast when it satisfies the following formula α: where n is a natural number greater than or equal to 1, P is the pitch of the lens in the x direction, λ is the wavelength of light incident from the irradiation unit 2, f is the focal length of the lens 11, and a and b are coefficients indicating the allowable error. Note that the focal plane refers to a plane that is perpendicular to the optical axis (z direction) of the lens 11 and is located at the focal position of the lens 11. Furthermore, the distance L1 refers to the distance (optical path length) that light travels in a vacuum in the same time as it travels through a medium, and is expressed as the product NL, where N is the refractive index of the medium and L is the actual distance.

 ここで式αの係数a,bの値は1、0.5、0.3、0.1と小さい程好ましい。式αの係数が、a=b=1の場合、式αは下記式1となる。
Here, the smaller the values of the coefficients a and b in formula α are, the more preferable they are, i.e., 1, 0.5, 0.3, and 0.1. When the coefficients of formula α are a=b=1, formula α becomes formula 1 below.

 また、距離Lは、a=b=0である下記式2を満たすときに最も光を強め合うことができる。
Furthermore, the distance L1 can most effectively strengthen the light when it satisfies the following formula 2 where a=b=0.

 また、式αはnの値が小さいほど照射部2と光学素子1の焦点面との距離Lが小さくなり、n=1の場合、下記式βとなる。
Furthermore, in formula α, the smaller the value of n, the smaller the distance L1 between the irradiation unit 2 and the focal plane of the optical element 1 becomes, and when n=1, the following formula β is obtained.

 ここで式βの係数a,bの値は1、0.5、0.3、0.1と小さい程好ましい。式βの係数が、a=b=1の場合、式βは下記式3となる。
Here, the smaller the values of the coefficients a and b in formula β are, the more preferable they are, i.e., 1, 0.5, 0.3, and 0.1. When the coefficients of formula β are a=b=1, formula β becomes formula 3 below.

 また、距離Lは、a=b=0である下記式4を満たすときに最も光を強め合うことができる時の照射部2と光学素子1の焦点面との最短距離となる。
Furthermore, the distance L1 is the shortest distance between the irradiation unit 2 and the focal plane of the optical element 1 when the light can be most reinforced when the following formula 4 is satisfied, where a=b=0.

 なお、ピッチPが光源20の光の波長λより小さくなり過ぎると回折を生じ難くなるため、光源20の配光角内に回折を生じるのに十分なレンズ11が含まれている限りにおいて、ピッチPは、光源20の光の波長λより十分に大きい方がよく、例えば5倍以上、好ましくは10倍以上がよい。 Note that if the pitch P is too small compared to the wavelength λ of the light from the light source 20, diffraction will be difficult to achieve. Therefore, as long as there are enough lenses 11 within the light distribution angle of the light source 20 to produce diffraction, the pitch P should be sufficiently larger than the wavelength λ of the light from the light source 20; for example, 5 times or more, and preferably 10 times or more.

[シミュレーション1]
 本発明の光学系装置と、比較例として従来の光学系装置についてシミュレーションをした。当該シミュレーションでは、どちらの光学系装置においても、同一の照射部を用いた。当該照射部は、図7(a)、図8(a)に示すように、複数の光源20Aがx方向にピッチPで正六方配列にされたものである。また、当該照射部の光源20Aは、ピッチPが20μm(P=20)、波長が940nm(λ=0.94)で、図6に示すようなバットウィング配光である光を照射するものとした。また、照射部と光学素子の焦点位置との距離Lは下記式2を用いた。
シミュレーションには、光学シミュレーションソフトBeamPROP(Synopsys社製)を用いた。
[Simulation 1]
Simulations were performed for the optical system device of the present invention and a conventional optical system device as a comparative example. In these simulations, the same irradiation unit was used for both optical system devices. As shown in FIGS. 7(a) and 8(a), the irradiation unit had a plurality of light sources 20A arranged in a regular hexagonal array at a pitch P in the x direction. Furthermore, the light sources 20A of the irradiation unit emitted light with a pitch P of 20 μm (P=20), a wavelength of 940 nm (λ=0.94), and a batwing light distribution as shown in FIG. 6. The distance L1 between the irradiation unit and the focal position of the optical element was calculated using the following equation 2:
The simulation was performed using optical simulation software BeamPROP (manufactured by Synopsys).

 本発明の光学系装置の光学素子1Aとしては、図7(a)に示すように、レンズ11Aが光軸中心をx方向にピッチPで正六方配列にされたものを用いた。当該光学素子1Aのレンズ11Aは、波長λ(λ=0.94)の光を透過すると共に、光軸中心を通るx方向の幅が20μm、y方向の幅が10√3μmであるものとした。また、レンズ11Aは、屈折率が1.5、焦点距離fが10μmであるものとした。 As shown in Figure 7(a), the optical element 1A used in the optical system device of the present invention is a lens 11A arranged in a regular hexagonal array with a pitch P in the x direction around the optical axis center. Lens 11A of this optical element 1A transmits light of wavelength λ (λ = 0.94), and has a width of 20 μm in the x direction passing through the optical axis center and a width of 10√3 μm in the y direction. Lens 11A also has a refractive index of 1.5 and a focal length f of 10 μm.

 照射部と光学素子1Aの焦点位置9との距離Lは、上記式2において、n=2であるときの距離である426um[L=2×20/(2×0.94)=426]とした。 The distance L 1 between the irradiation part and the focal position 9 of the optical element 1A was set to 426 μm [L 1 =2×20 2 /(2×0.94)=426], which is the distance when n=2 in the above formula 2.

 図7(b)は、光学素子1Aから1m先の投影像である。この時の各ドットの平均コントラストは14.40であった。 Figure 7(b) shows the image projected 1 m from optical element 1A. The average contrast of each dot in this case was 14.40.

 従来の光学系装置の光学素子1Bとしては、図8(a)に示すように、レンズ11Bが光軸中心をx方向にピッチP、y方向に√3Pで四方配列にされたものを用いた。当該光学素子1Bのレンズ11Bは、波長λ(λ=0.94)の光を透過すると共に、光軸中心を通るx方向の幅が20μm、y方向の幅が20√3μmであるものとした。また、レンズ11Bは、屈折率が1.5、焦点距離fが12μmであるものとした。 As shown in Figure 8(a), the optical element 1B used in the conventional optical system device was a square array of lenses 11B arranged around the optical axis center at a pitch P in the x direction and √3P in the y direction. Lenses 11B of this optical element 1B transmit light of wavelength λ (λ = 0.94), and have a width of 20 μm in the x direction passing through the optical axis center and a width of 20√3 μm in the y direction. Lenses 11B also have a refractive index of 1.5 and a focal length f of 12 μm.

 照射部と光学素子1Bの焦点位置9との距離Lは、上記式2において、n=2であるときの距離である426um[L=2×20/(2×0.94)=426]とした。 The distance L 1 between the irradiation part and the focal position 9 of the optical element 1B was set to 426 μm [L 1 =2×20 2 /(2×0.94)=426], which is the distance when n=2 in the above formula 2.

 図8(b)は、光学素子1Bから1m先の投影像である。この時の各ドットの平均コントラストは6.62であった。 Figure 8(b) shows the image projected 1 m away from optical element 1B. The average contrast of each dot in this case was 6.62.

 本発明の光学系装置と従来の光学系装置を比較すると、Lは同じ426umであるが、本発明の光学系装置の方が従来の光学系装置よりも平均コントラストが高く、投影像のドットがはっきりしているのが分かる。 Comparing the optical system of the present invention with the conventional optical system, it can be seen that although L1 is the same at 426 μm, the optical system of the present invention has a higher average contrast than the conventional optical system, and the dots in the projected image are clearer.

[シミュレーション2]
 次に、本発明の光学系装置と、比較例として従来の光学系装置についてシミュレーションをした。当該シミュレーションでは、どちらの光学系装置においても、照射部と光学素子の焦点位置との距離は同じとした。また、照射部と光学素子の焦点位置との距離Lは下記式2を用いた。
シミュレーションには、光学シミュレーションソフトBeamPROP(Synopsys社製)を用いた。
[Simulation 2]
Next, a simulation was performed for the optical system device of the present invention and a conventional optical system device as a comparative example. In the simulation, the distance between the irradiation unit and the focal position of the optical element was the same in both optical system devices. Furthermore, the distance L1 between the irradiation unit and the focal position of the optical element was calculated using the following formula 2.
The simulation was performed using optical simulation software BeamPROP (manufactured by Synopsys).

 本発明の光学系装置の照射部としては、図9(a)に示すように、複数の光源20Bがx方向にピッチPで正六方配列にされたものを用いた。当該照射部の光源20Bは、ピッチPが20√3μm(P=20√3)、波長が940nm(λ=0.94)で、図6に示すようなバットウィング配光である光を照射するものとした。 As shown in Figure 9(a), the irradiation section of the optical system device of the present invention uses multiple light sources 20B arranged in a regular hexagonal array at a pitch P in the x direction. The light sources 20B of the irradiation section have a pitch P of 20√3 μm (P = 20√3), a wavelength of 940 nm (λ = 0.94), and emit light with a batwing light distribution as shown in Figure 6.

 また、本発明の光学系装置の光学素子1Cは、図9(a)に示すように、レンズ11Cが光軸中心をx方向にピッチPで正六方配列にされたものを用いた。当該光学素子1Cのレンズ11Cは、波長λ(λ=0.94)の光を透過すると共に、光軸中心を通るx方向の幅が20√3μm、y方向の幅が30μmであるものとした。また、レンズ11Cは、屈折率が1.5、焦点距離fが10μmであるものとした。 The optical element 1C of the optical system device of the present invention uses lenses 11C arranged in a regular hexagonal array with a pitch P around the optical axis center in the x direction, as shown in Figure 9(a). Lenses 11C of this optical element 1C transmit light of wavelength λ (λ = 0.94), and have a width of 20√3 μm in the x direction passing through the optical axis center and a width of 30 μm in the y direction. Lenses 11C also have a refractive index of 1.5 and a focal length f of 10 μm.

 照射部と光学素子1Cの焦点位置9との距離Lは、上記式2において、n=2であるときの距離である1277um[L=2×(20√3)/(2×0.94)=1277]とした。 The distance L 1 between the irradiation part and the focal position 9 of the optical element 1C was set to 1277 μm [L 1 =2×(20√3) 2 /(2×0.94)=1277], which is the distance when n=2 in the above formula 2.

 図9(b)は、光学素子1Cから1m先の投影像である。この時の各ドットの平均コントラストは41.96であった。 Figure 9(b) shows the image projected 1 m away from optical element 1C. The average contrast of each dot in this case was 41.96.

 従来の光学系装置の照射部としては、図10(a)に示すように、複数の光源20Aがx方向にピッチPで正六方配列にされたものを用いた。当該照射部の光源20Aは、ピッチPが20μm(P=20)、波長が940nm(λ=0.94)で、図6に示すようなバットウィング配光である光を照射するものとした。 The illumination section of the conventional optical system device used multiple light sources 20A arranged in a regular hexagonal array at a pitch P in the x direction, as shown in Figure 10(a). The light sources 20A in the illumination section had a pitch P of 20 μm (P = 20), a wavelength of 940 nm (λ = 0.94), and emitted light with a batwing light distribution as shown in Figure 6.

 また、従来の光学系装置の光学素子1Bは、図10(a)に示すように、レンズ11Bが光軸中心をx方向にピッチP、y方向に√3Pで四方配列されたものを用いた。当該光学素子1Bのレンズ11Bは、波長λ(λ=0.94)の光を透過すると共に、光軸中心を通るx方向の幅が20μm、y方向の幅が20√3μmであるものとした。また、レンズ11Bは、屈折率が1.5、焦点距離fが12μmであるものとした。 Furthermore, as shown in Figure 10(a), the optical element 1B of the conventional optical system device was configured with lenses 11B arranged in a square array with a pitch P in the x direction and √3P in the y direction around the optical axis center. Lenses 11B of this optical element 1B transmit light of wavelength λ (λ = 0.94), and have a width of 20 μm in the x direction passing through the optical axis center and a width of 20√3 μm in the y direction. Lenses 11B also had a refractive index of 1.5 and a focal length f of 12 μm.

 照射部2と光学素子1Bの焦点位置9との距離Lは、上記式2においてn=6であるときの距離である1277um[L=6×20/(2×0.94)=1277]とした。 The distance L 1 between the irradiation unit 2 and the focal position 9 of the optical element 1B was set to 1277 μm [L 1 =6×20 2 /(2×0.94)=1277], which is the distance when n=6 in the above formula 2.

 図10(b)は、光学素子1Bから1m先の投影像である。この時の各ドットの平均コントラストは28.61であった。 Figure 10(b) shows the projected image 1 m away from optical element 1B. The average contrast of each dot in this case was 28.61.

 本発明の光学系装置と従来の光学系装置を比較すると、Lは同じ1277umであるが、本発明の光学系装置の方が従来の光学系装置よりも平均コントラストが高く、投影像のドットがはっきりしているのが分かる。 When comparing the optical system of the present invention with the conventional optical system, it can be seen that although L1 is the same at 1277 μm, the optical system of the present invention has a higher average contrast than the conventional optical system, and the dots in the projected image are clearer.

 1、1A、1B、1C 光学素子
 2 照射部
 9 焦点位置
 10 基板
 11 レンズ
 20 光源
 51 モールド
1, 1A, 1B, 1C Optical element 2 Irradiation unit 9 Focal position 10 Substrate 11 Lens 20 Light source 51 Mold

Claims (6)

 波長λの光を透過すると共に、光軸中心を通るx方向の幅がP、y方向の幅が(√3)P/2であるレンズが、当該光軸中心をx方向にピッチPで正六方配列にされた光学素子と、
 波長λの光を前記レンズの複数に照射する光源がx方向にピッチPで正六方配列にされた照射部と、を具備し、
 前記レンズの焦点距離をf、nを1以上の自然数とすると、前記照射部と前記光学素子の焦点位置との距離Lは、下記式1
を満たすことを特徴とする光学系装置。
an optical element in which lenses that transmit light of wavelength λ and have a width P in the x direction passing through the optical axis center and a width (√3)P/2 in the y direction are arranged in a regular hexagonal array with a pitch P in the x direction about the optical axis center;
an illumination unit in which light sources that illuminate a plurality of lenses with light of wavelength λ are arranged in a regular hexagonal array at a pitch P in the x direction;
When the focal length of the lens is f and n is a natural number of 1 or more, the distance L1 between the irradiation unit and the focal position of the optical element is expressed by the following formula 1:
An optical system device characterized by satisfying the above.
 前記光学素子は、レンズのxy平面の形状が四角形であることを特徴とする請求項1記載の光学系装置。 The optical system device according to claim 1, characterized in that the optical element has a lens whose xy plane shape is rectangular.  前記光学素子は、レンズのxy平面の形状が長方形であることを特徴とする請求項1記載の光学系装置。 The optical system device of claim 1, characterized in that the optical element has a lens with a rectangular shape in the xy plane. 前記距離Lが、下記式2
を満たすことを特徴とする請求項1から3までのいずれかに記載の光学系装置。
The distance L1 is expressed by the following formula 2:
4. The optical system according to claim 1, wherein the following is satisfied:
前記距離Lが、下記式3
を満たすことを特徴とする請求項1から3までのいずれかに記載の光学系装置。
The distance L1 is expressed by the following formula 3:
4. The optical system according to claim 1, wherein the following is satisfied:
前記距離Lが、下記式4
を満たすことを特徴とする請求項1から3までのいずれかに記載の光学系装置。
The distance L1 is expressed by the following formula 4:
4. The optical system according to claim 1, wherein the following is satisfied:
PCT/JP2025/014104 2024-04-16 2025-04-08 Optical system device Pending WO2025220552A1 (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH08234003A (en) * 1994-12-29 1996-09-13 Nippon Sheet Glass Co Ltd Flat microlens array and manufacturing method thereof
JP2004280096A (en) * 2003-03-14 2004-10-07 Eastman Kodak Co Imaging system and system and method for capturing image
WO2023026987A1 (en) * 2021-08-25 2023-03-02 Scivax株式会社 Optical system device

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH08234003A (en) * 1994-12-29 1996-09-13 Nippon Sheet Glass Co Ltd Flat microlens array and manufacturing method thereof
JP2004280096A (en) * 2003-03-14 2004-10-07 Eastman Kodak Co Imaging system and system and method for capturing image
WO2023026987A1 (en) * 2021-08-25 2023-03-02 Scivax株式会社 Optical system device

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