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CN102590908B - A Fresnel prism and a method of converting the polarization state of terahertz waves - Google Patents

A Fresnel prism and a method of converting the polarization state of terahertz waves Download PDF

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CN102590908B
CN102590908B CN201210048020.7A CN201210048020A CN102590908B CN 102590908 B CN102590908 B CN 102590908B CN 201210048020 A CN201210048020 A CN 201210048020A CN 102590908 B CN102590908 B CN 102590908B
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fresnel prism
terahertz wave
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CN102590908A (en
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张亮亮
祝德充
邓朝
张存林
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Capital Normal University
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Abstract

The invention relates to a Fresnel prism and a method for converting a polarization state of a terahertz wave. The Fresnel prism is in a bar-type columnar shape and is made of a material which can not generate a dispersion effect on the terahertz wave. The Fresnel prism comprises four arris and two side surfaces which are opposite and parallel to each other. The two side surfaces are squares with same side lengths. Each arris is perpendicular to one edge of the each side surface. An included angle alpha of the each arris and the each side surface satisfies a formula (1), wherein n is a refractive index of the making material of the Fresnel prism to the terahertz wave. A length of the each arris satisfies that the terahertz wave of incident linear polarization which is perpendicular to one side surface can emit from another side surface after generating even numbers of total reflections in the Fresnel prism. According to the invention, the side length a of the side and the minimum length L of each arris can reach that the polarization states of the multi-color linear polarization terahertz waves can be converted into circular polarization simultaneously.

Description

一种菲涅尔棱镜和一种转换太赫兹波的偏振态的方法A Fresnel prism and a method of converting the polarization state of terahertz waves

技术领域technical field

本发明涉及太赫兹波的偏振态转换技术领域,特别是涉及一种菲涅尔棱镜和利用该菲涅尔棱镜来转换太赫兹波的偏振态的方法。The invention relates to the technical field of polarization state conversion of terahertz waves, in particular to a Fresnel prism and a method for converting the polarization state of terahertz waves using the Fresnel prism.

背景技术Background technique

太赫兹波具有瞬态性、低能性和相干性等独特性质,在卫星通讯、无损检测、军用雷达等多个领域具有重大的科学价值和广阔的应用前景。而偏振态为圆偏振的太赫兹波的应用更为广泛,尤其是其为具有螺旋结构的生物大分子等物质内部结构的研究提供了特殊光源,还可将其用于对各向异性材料(如双折射晶体、具有纤维取向的生物组织等)进行偏振相关的太赫兹波超宽频带光谱研究及结构识别。可见,利用圆偏振太赫兹波有望在物理与生命科学交叉领域获得新的重大科研突破。但是,现有技术只能产生偏振态为线偏振的单周期脉冲太赫兹波,必须对其偏振态进行转换,才能获得圆偏振的单周期脉冲太赫兹波。Terahertz waves have unique properties such as transient, low energy, and coherence, and have great scientific value and broad application prospects in satellite communications, nondestructive testing, and military radar. The terahertz wave whose polarization state is circular polarization is more widely used, especially it provides a special light source for the study of the internal structure of biological macromolecules with a helical structure, and it can also be used for anisotropic materials ( Such as birefringent crystals, biological tissues with fiber orientation, etc.) for polarization-related terahertz wave ultra-broadband spectral research and structural identification. It can be seen that the use of circularly polarized terahertz waves is expected to achieve new major scientific breakthroughs in the interdisciplinary fields of physics and life sciences. However, the existing technology can only generate single-cycle pulsed terahertz waves whose polarization state is linear, and the polarization state must be converted to obtain circularly polarized single-cycle pulsed terahertz waves.

现有技术是利用波片等光学元件来实现太赫兹波偏振态的转换的,根据入射线偏振太赫兹波的频率来设计波片的厚度,可使入射线偏振太赫兹波在从波片射出后变为圆偏振的太赫兹波。可见,现有技术只适用于单一频率的太赫兹波偏振态的转换,而对于包含多种频率成分的多色线偏振太赫兹波(如线偏振的单周期脉冲太赫兹波),该方法是无法同时将所有频率的太赫兹波的偏振态都转换为圆偏振态的。The existing technology uses optical elements such as wave plates to realize the conversion of the polarization state of the terahertz wave. The thickness of the wave plate is designed according to the frequency of the incident ray-polarized terahertz wave, so that the incident ray-polarized terahertz wave can be emitted from the wave plate. Then it becomes a circularly polarized terahertz wave. It can be seen that the existing technology is only suitable for the transformation of the polarization state of the terahertz wave of a single frequency, but for the polychromatic linearly polarized terahertz wave containing multiple frequency components (such as the linearly polarized single-cycle pulsed terahertz wave), the method is It is impossible to simultaneously convert the polarization states of terahertz waves of all frequencies into circular polarization states.

发明内容Contents of the invention

本发明所要解决的技术问题是提供一种菲涅尔棱镜和一种转换太赫兹波的偏振态的方法,能同时将多色线偏振太赫兹波的偏振态转换为圆偏振。The technical problem to be solved by the present invention is to provide a Fresnel prism and a method for converting the polarization state of a terahertz wave, which can simultaneously convert the polarization state of a polychromatic linearly polarized terahertz wave into a circular polarization.

本发明解决上述技术问题的技术方案如下:一种菲涅尔棱镜,该菲涅尔棱镜为条形柱状,由不对太赫兹波产生色散作用的材料制成;The technical solution of the present invention to solve the above-mentioned technical problems is as follows: a Fresnel prism, the Fresnel prism is strip-shaped and columnar, and is made of a material that does not produce a dispersion effect on terahertz waves;

该菲涅尔棱镜包括四条棱和两个相对且平行的侧面;其中,The Fresnel prism includes four edges and two opposite and parallel sides; wherein,

两个所述侧面为边长相同的正方形;The two sides are squares with the same side length;

每条所述的棱垂直于每个所述侧面的一条边,且每条所述的棱与每个所述侧面的夹角α满足

Figure GDA0000371977470000021
其中的n为该菲涅尔棱镜的制作材料对太赫兹波的折射率;Each of the ribs is perpendicular to a side of each of the sides, and the angle α between each of the ribs and each of the sides satisfies
Figure GDA0000371977470000021
Wherein n is the refractive index of the Fresnel prism's material to the terahertz wave;

每条所述棱的长度均满足使垂直于一个所述侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次全反射后从另一个所述侧面出射;每个所述侧面的边长a与每条所述棱的最小长度L满足

Figure GDA0000371977470000022
The length of each of the ribs is sufficient to make the linearly polarized terahertz wave incident perpendicular to one of the sides emerge from the other side after an even number of total reflections in the Fresnel prism; each of the sides The side length a of and the minimum length L of each edge satisfy
Figure GDA0000371977470000022

本发明的有益效果是:本发明中,菲涅尔棱镜的每条棱与每个侧面的夹角α满足可使垂直于一个侧面入射的线偏振太赫兹波在该菲涅尔棱镜内发生全反射。每条棱的长度均满足使垂直于一个侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次全反射后从另一个侧面出射,这样,太赫兹波所包含的两个相互垂直的电场分量在该菲涅尔棱镜内的附加位相总和为(π/2)的奇数倍,因而出射太赫兹波的偏振态即转换为圆偏振。而且,由于该附加位相总和是与频率无关的量,因此入射的所有频率的线偏振太赫兹波均同时转换成了圆偏振态,从而实现了发明目的。另外,该菲涅尔棱镜由不对太赫兹波产生色散作用的材料制成,其两侧面相对且平行,每条棱垂直于每个侧面的一条边,这保证了垂直于一个侧面入射的线偏振太赫兹波在菲涅尔棱镜内发生全反射的位置是在两个平行相对的界面上,而不会在两个相邻的界面上,因而太赫兹波的出射方向也就可以确定为垂直于另一个侧面,这有效防止了太赫兹波在出射时发生变向,使所有频率的太赫兹波所包含的两个相互垂直的电场分量在菲涅尔棱镜中发生全反射的附加位相总和完全一致。The beneficial effects of the present invention are: in the present invention, the angle α between each edge and each side of the Fresnel prism satisfies The linearly polarized terahertz wave incident perpendicular to one side can be totally reflected in the Fresnel prism. The length of each edge is such that the linearly polarized terahertz wave incident perpendicular to one side will emerge from the other side after an even number of total reflections in the Fresnel prism. In this way, the two mutual The sum of the additional phases of the vertical electric field components in the Fresnel prism is an odd multiple of (π/2), so the polarization state of the outgoing terahertz wave is converted to circular polarization. Moreover, since the sum of the additional phases is a frequency-independent quantity, the incident linearly polarized terahertz waves of all frequencies are simultaneously converted into circularly polarized states, thereby achieving the purpose of the invention. In addition, the Fresnel prism is made of a material that does not produce a dispersion effect on the terahertz wave, and its two sides are opposite and parallel, and each edge is perpendicular to one side of each side, which ensures that the linear polarization perpendicular to one side is incident The total reflection position of the terahertz wave in the Fresnel prism is on two parallel and opposite interfaces, not on two adjacent interfaces, so the outgoing direction of the terahertz wave can be determined to be perpendicular to On the other hand, this effectively prevents the terahertz wave from changing direction when it exits, so that the total reflection of the additional phase sum of the two mutually perpendicular electric field components contained in the terahertz wave of all frequencies in the Fresnel prism is exactly the same .

在上述技术方案的基础上,本发明还可以做如下改进:On the basis of above-mentioned technical scheme, the present invention can also be improved as follows:

进一步,由高密聚乙烯或高阻硅制成。Further, it is made of high-density polyethylene or high-resistance silicon.

进一步,垂直于一个所述侧面入射的线偏振的所述太赫兹波为平行波束,其波束截面为圆形;Further, the linearly polarized terahertz wave incident perpendicular to one side is a parallel beam, and its beam cross section is circular;

则所述侧面的边长不小于该太赫兹波的波束直径。Then the side length of the side is not less than the beam diameter of the terahertz wave.

进一步,垂直于一个所述侧面入射的线偏振的所述太赫兹波为单周期脉冲太赫兹波。Further, the linearly polarized terahertz wave incident perpendicularly to one side is a single-period pulsed terahertz wave.

进一步,每条所述棱的长度均满足使垂直于一个所述侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生2次全反射后从另一个所述侧面出射。Further, the length of each of the ribs is such that the linearly polarized terahertz wave incident perpendicularly to one of the sides is totally reflected twice in the Fresnel prism and emerges from the other side.

另外,本发明还提供了一种转换太赫兹波的偏振态的方法,该方法的实现基于上述的菲涅尔棱镜,该菲涅尔棱镜为条形柱状,包括四条棱和两个相对且平行的侧面,两个所述侧面为边长相同的正方形,每条所述的棱垂直于每个所述侧面的一条边,且每条所述的棱与每个所述侧面的夹角α满足

Figure GDA0000371977470000031
其中的n为该菲涅尔棱镜的制作材料对太赫兹波的折射率;每个所述侧面的边长a与每条所述棱的最小长度L满足
Figure GDA0000371977470000032
该方法包括:In addition, the present invention also provides a method for converting the polarization state of terahertz waves. The realization of the method is based on the above-mentioned Fresnel prism. The two sides are squares with the same side length, each of the edges is perpendicular to one side of each of the sides, and the angle α between each of the edges and each of the sides satisfies
Figure GDA0000371977470000031
Where n is the refractive index of the Fresnel prism's material for terahertz waves; the side length a of each side and the minimum length L of each edge satisfy
Figure GDA0000371977470000032
The method includes:

步骤1:将所述菲涅尔棱镜的任一个所述侧面作为入射界面,将其另一个所述侧面作为出射界面;将线偏振的太赫兹波垂直于所述入射界面射入所述菲涅尔棱镜;Step 1: Use any one of the side surfaces of the Fresnel prism as an incident interface, and use the other side as an exit interface; inject a linearly polarized terahertz wave into the Fresnel prism perpendicular to the incident interface Err Prism;

步骤2:所述太赫兹波在所述菲涅尔棱镜内发生偶数次全反射,每次所述全反射的反射界面为介质与空气的界面;Step 2: The terahertz wave undergoes an even number of total reflections in the Fresnel prism, and the reflection interface of each total reflection is the interface between the medium and the air;

步骤3:从所述出射界面射出的太赫兹波即为圆偏振的太赫兹波。Step 3: The terahertz waves emitted from the exit interface are circularly polarized terahertz waves.

附图说明Description of drawings

图1为本发明提出的菲涅尔棱镜的结构图;Fig. 1 is the structural diagram of the Fresnel prism that the present invention proposes;

图2为本发明提出的菲涅尔棱镜的侧视图;Fig. 2 is the side view of the Fresnel prism proposed by the present invention;

图3为本发明提出的菲涅尔棱镜的俯视图;Fig. 3 is the top view of the Fresnel prism proposed by the present invention;

图4为太赫兹波在本发明提出的菲涅尔棱镜内传播的一个实施例的示意图。Fig. 4 is a schematic diagram of an embodiment of terahertz waves propagating in the Fresnel prism proposed by the present invention.

具体实施方式Detailed ways

以下结合附图对本发明的原理和特征进行描述,所举实例只用于解释本发明,并非用于限定本发明的范围。The principles and features of the present invention are described below in conjunction with the accompanying drawings, and the examples given are only used to explain the present invention, and are not intended to limit the scope of the present invention.

图1、图2和图3分别为本发明提出的菲涅尔棱镜的结构图、侧视图和俯视图。棱镜是一种由两两相交的平面围成的物体,菲涅尔棱镜是棱镜的一种。在菲涅尔棱镜中,供光线入射和出射的平面均称为该菲涅尔棱镜的侧面。Fig. 1, Fig. 2 and Fig. 3 are respectively the structural diagram, side view and top view of the Fresnel prism proposed by the present invention. A prism is an object surrounded by two intersecting planes, and a Fresnel prism is a kind of prism. In a Fresnel prism, the planes for light incident and exit are called the sides of the Fresnel prism.

如图1-3所示,该菲涅尔棱镜为条形柱状,其由不对太赫兹波产生色散作用的材料制成,防止因太赫兹波在其内部发生色散而导致出射的太赫兹波变向,该菲涅尔棱镜的制作材料的较佳实施例为高密聚乙烯或高阻硅,这两种材料不仅对太赫兹波不产生色散作用,而且对太赫兹波造成的损耗也很小,从而保证了出射的太赫兹波的能量密度。As shown in Figure 1-3, the Fresnel prism is a bar-shaped column, which is made of a material that does not produce dispersion for the terahertz wave, preventing the emitted terahertz wave from changing due to the dispersion of the terahertz wave inside it. Towards, the preferred embodiment of the material for the Fresnel prism is high-density polyethylene or high-resistance silicon. These two materials not only have no dispersion effect on the terahertz wave, but also cause very little loss to the terahertz wave. Therefore, the energy density of the outgoing terahertz wave is guaranteed.

图1-3所示的菲涅尔棱镜包括四条棱和两个相对且平行的侧面。每条棱的长度相等,均为L,两个侧面为边长相同的正方形,分别用M和N来标示。The Fresnel prism shown in Figures 1-3 includes four ribs and two opposite and parallel sides. The length of each edge is equal, both are L, and the two sides are squares with the same side length, marked with M and N respectively.

为了对侧面上的两条邻边进行区分,图1-3用a和b分别标示侧面的两邻边的长度,由于两侧面均为正方形,且边长相同,因而这里的a与b在数值上是相等的。In order to distinguish the two adjacent sides on the side, Figure 1-3 uses a and b to mark the lengths of the two adjacent sides on the side respectively. Since both sides are square and have the same side length, a and b here are in the numerical value above are equal.

本发明所提供的菲涅尔棱镜中,每条棱垂直于每个侧面的一条边,如图1-3所示,任一棱均垂直于任一侧面上边长为b的边。In the Fresnel prism provided by the present invention, each rib is perpendicular to one side of each side, as shown in Figures 1-3, any rib is perpendicular to the side with side length b on any side.

另外,每条棱与每个侧面的夹角α满足

Figure GDA0000371977470000041
其中的n为该菲涅尔棱镜的制作材料对太赫兹波的折射率,如图1-3所示,由于每条棱均与边长为b的边垂直,因而各棱与各侧面的夹角α即为相应棱与边长为a的边的夹角。棱与侧面的夹角α满足
Figure GDA0000371977470000042
可使垂直于任一侧面入射的太赫兹波在该菲涅尔棱镜内部发生全反射,从而使该太赫兹波所包含的两个相互垂直的电场分量产生附加位相。根据该数量关系,在该菲涅尔棱镜的制作材料选用高密聚乙烯的情况下,这里的n为1.525,则α等于55.7°。In addition, the angle α between each edge and each side satisfies
Figure GDA0000371977470000041
Among them, n is the refractive index of the Fresnel prism’s material for terahertz waves. As shown in Figure 1-3, since each edge is perpendicular to the side with side length b, the distance between each edge and each side is The angle α is the angle between the corresponding edge and the side whose side length is a. The angle α between the edge and the side satisfies
Figure GDA0000371977470000042
The terahertz wave incident perpendicular to any side can be totally reflected inside the Fresnel prism, so that the two mutually perpendicular electric field components contained in the terahertz wave can generate an additional phase. According to the quantitative relationship, when the Fresnel prism is made of high-density polyethylene, n here is 1.525, and α is equal to 55.7°.

本发明所提供的菲涅尔棱镜中,每条棱的长度L均要满足使垂直于一个侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次全反射后才从另一个侧面出射。L所满足的该条件意味着,太赫兹波所包含的两个相互垂直的电场分量在菲涅尔棱镜中获得的附加位相总和为(π/2)的奇数倍,这样,太赫兹波的偏振态就由入射时的线偏振转换为出射时的圆偏振。另外,由于在L确定后,该附加位相总和是一个常数,与太赫兹波的频率是无关的,因而即使入射的线偏振的太赫兹波是多色的(即频率不单一),从该菲涅尔棱镜另一个侧面出射的太赫兹波也能全部转换为圆偏振态,因此,本发明实现了将入射的多色线偏振太赫兹波的偏振态同时转换为圆偏振的发明目的。In the Fresnel prism provided by the present invention, the length L of each edge must meet the requirement that the linearly polarized terahertz wave incident perpendicular to one side undergo an even number of total reflections in the Fresnel prism before being transmitted from the other side. Side shot. The condition satisfied by L means that the sum of the additional phases obtained by the two mutually perpendicular electric field components contained in the terahertz wave in the Fresnel prism is an odd multiple of (π/2), so that the polarization of the terahertz wave The state is converted from the linear polarization of the incident to the circular polarization of the exit. In addition, since the sum of the additional phases is a constant after L is determined, it has nothing to do with the frequency of the terahertz wave, so even if the incident linearly polarized terahertz wave is polychromatic (that is, the frequency is not single), from the The terahertz wave emitted from the other side of the Nell prism can also be converted into circular polarization state. Therefore, the present invention achieves the invention purpose of simultaneously converting the polarization state of the incident polychromatic linearly polarized terahertz wave into circular polarization state.

为了尽量降低菲涅尔棱镜对太赫兹波的损耗,保证出射太赫兹波的能量密度,本发明中,每条棱的长度L的较佳实施例为:L均满足使垂直于一个侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生2次全反射后从另一个侧面出射,图4即为太赫兹波在该实施例中传播并发生全反射的示意图,该图的视角与图2相同,均为侧视视角。In order to reduce the loss of the Fresnel prism to the terahertz wave as much as possible and ensure the energy density of the outgoing terahertz wave, in the present invention, the preferred embodiment of the length L of each edge is as follows: L satisfies the requirement that the incidence perpendicular to one side The linearly polarized terahertz wave emerges from the other side after two total reflections in the Fresnel prism. Figure 4 is a schematic diagram of the terahertz wave propagating and undergoing total reflection in this embodiment. The viewing angle of the figure is the same as Figure 2 is the same, both are side view angles.

由此可见,本发明中,菲涅尔棱镜的每条棱与每个侧面的夹角α满足

Figure GDA0000371977470000043
可使垂直于一个侧面入射的线偏振太赫兹波在该菲涅尔棱镜内发生全反射。每条棱的长度均满足使垂直于一个侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次全反射后从另一个侧面出射,这样,太赫兹波所包含的两个相互垂直的电场分量在该菲涅尔棱镜内的附加位相总和为(π/2)的奇数倍,因而出射太赫兹波的偏振态即转换为圆偏振。而且,由于该附加位相总和是与频率无关的量,因此入射的所有频率的线偏振太赫兹波均同时转换成了圆偏振态,从而实现了发明目的。另外,该菲涅尔棱镜由不对太赫兹波产生色散作用的材料制成,其两侧面相对且平行,每条棱垂直于每个侧面的一条边,这保证了垂直于一个侧面入射的线偏振太赫兹波在菲涅尔棱镜内发生全反射的位置是在两个平行相对的界面上,而不会在两个相邻的界面上,因而太赫兹波的出射方向也就可以确定为垂直于另一个侧面,这有效防止了太赫兹波在出射时发生变向,使所有频率的太赫兹波所包含的两个相互垂直的电场分量在菲涅尔棱镜中发生全反射的附加位相总和完全一致。It can be seen that, in the present invention, the angle α between each edge and each side of the Fresnel prism satisfies
Figure GDA0000371977470000043
The linearly polarized terahertz wave incident perpendicular to one side can be totally reflected in the Fresnel prism. The length of each edge is such that the linearly polarized terahertz wave incident perpendicular to one side will emerge from the other side after an even number of total reflections in the Fresnel prism. In this way, the two mutual The sum of the additional phases of the vertical electric field components in the Fresnel prism is an odd multiple of (π/2), so the polarization state of the outgoing terahertz wave is converted to circular polarization. Moreover, since the sum of the additional phases is a frequency-independent quantity, the incident linearly polarized terahertz waves of all frequencies are simultaneously converted into circularly polarized states, thereby achieving the purpose of the invention. In addition, the Fresnel prism is made of a material that does not produce a dispersion effect on the terahertz wave, and its two sides are opposite and parallel, and each edge is perpendicular to one side of each side, which ensures that the linear polarization perpendicular to one side is incident The total reflection position of the terahertz wave in the Fresnel prism is on two parallel and opposite interfaces, not on two adjacent interfaces, so the outgoing direction of the terahertz wave can be determined to be perpendicular to On the other hand, this effectively prevents the terahertz wave from changing direction when it exits, so that the total reflection of the additional phase sum of the two mutually perpendicular electric field components contained in the terahertz wave of all frequencies in the Fresnel prism is exactly the same .

现有的线偏振的太赫兹波的产生是基于光整流、光导天线或激光激发空气等离子体等机制而辐射出的平行波束,其波束截面为圆形,即上述的垂直于一个侧面入射的线偏振的太赫兹波为平行波束,其波束截面为圆形,则本发明所提供的菲涅尔棱镜中,各侧面的边长(图1-3中的a和b)不小于该太赫兹波的波束直径,这可以保证所有入射太赫兹波的偏振态均可被该菲涅尔棱镜同时转换,不会有能量损失,从而有效保证了出射的圆偏振太赫兹波的能量达到使用需求。侧面边长的极小值等于入射的太赫兹波的波束直径,因而侧面即为该圆形的太赫兹波束的外切正方形。The existing linearly polarized terahertz waves are generated based on mechanisms such as optical rectification, photoconductive antennas, or laser-excited air plasmas to radiate parallel beams. The beam cross section is circular, that is, the above-mentioned line perpendicular to a side The polarized terahertz wave is a parallel beam, and its beam section is circular, so in the Fresnel prism provided by the present invention, the side lengths of each side (a and b in Fig. 1-3) are not less than the terahertz wave The beam diameter can ensure that the polarization states of all incident terahertz waves can be simultaneously converted by the Fresnel prism without energy loss, thus effectively ensuring that the energy of the outgoing circularly polarized terahertz waves meets the usage requirements. The minimum value of the side length is equal to the beam diameter of the incident terahertz wave, so the side is the circumscribed square of the circular terahertz beam.

本发明能将入射的多色太赫兹波的偏振态同时由线偏振转换为圆偏振,入射的这种多色线偏振太赫兹波的一个实施例为单周期脉冲太赫兹波,即上述的垂直于一个侧面入射的线偏振的太赫兹波为单周期脉冲太赫兹波。The present invention can simultaneously convert the polarization state of the incident polychromatic terahertz wave from linear polarization to circular polarization. An embodiment of the incident polychromatic linearly polarized terahertz wave is a single-period pulsed terahertz wave, that is, the above-mentioned vertical The linearly polarized terahertz wave incident on one side is a single-period pulsed terahertz wave.

本发明所提供的菲涅尔棱镜中,棱的长度L只要满足使垂直于一个侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次(较佳实施例为2次)全反射后再从另一个侧面出射,即可实现发明目的;而在太赫兹波为圆形波束截面的平行波束的情况下,侧面的边长(a和b)只要不小于波束直径,即能保证出射的太赫兹波的能量密度达到使用需求。为了使L与a(和b)相互协调,减少材料的使用,本发明中,还可以进一步设置每个侧面的边长a(和b)与每条棱的最小长度L,使二者满足

Figure GDA0000371977470000051
的关系,这样,既实现了上述的发明目的,使出射的圆偏振太赫兹波的能量密度满足了使用需求,又节省了菲涅尔棱镜制作材料的使用,达到了节约资源、降低成本的目的。In the Fresnel prism provided by the present invention, as long as the length L of the edge satisfies the requirement that the linearly polarized terahertz wave incident perpendicular to one side occurs in the Fresnel prism an even number of times (two times in a preferred embodiment) The object of the invention can be achieved after being reflected and emitted from the other side; and in the case of a parallel beam with a circular beam cross-section, as long as the side lengths (a and b) of the side are not less than the beam diameter, it can be guaranteed The energy density of the outgoing terahertz wave meets the usage requirements. In order to make L and a (and b) coordinate with each other and reduce the use of materials, in the present invention, the side length a (and b) of each side and the minimum length L of each edge can be further set so that the two meet
Figure GDA0000371977470000051
In this way, the above-mentioned purpose of the invention is achieved, the energy density of the outgoing circularly polarized terahertz wave meets the use requirements, and the use of Fresnel prism materials is saved, and the purpose of saving resources and reducing costs is achieved. .

本发明还提出了一种转换太赫兹波的偏振态的方法,该方法的实现基于上述的菲涅尔棱镜,该方法的目的在于,将射入菲涅尔棱镜的多色太赫兹波的偏振态由线偏振同时转换为圆偏振,即线偏振的多色太赫兹波在射入该菲涅尔棱镜后,出射的多色太赫兹波的偏振态全部转换为圆偏振。The present invention also proposes a method for converting the polarization state of a terahertz wave, which is implemented based on the above-mentioned Fresnel prism. The state is converted from linear polarization to circular polarization at the same time, that is, after the linearly polarized polychromatic terahertz waves enter the Fresnel prism, the polarization states of the outgoing polychromatic terahertz waves are all converted to circular polarization.

以图4为例进行说明,该方法包括:Taking Figure 4 as an example for illustration, the method includes:

步骤1:将菲涅尔棱镜的任一个侧面(如侧面M)作为入射界面,将其另一个侧面(如侧面N)作为出射界面;将线偏振的太赫兹波垂直于入射界面M射入菲涅尔棱镜。Step 1: Take any side of the Fresnel prism (such as side M) as the incident interface, and use the other side (such as side N) as the exit interface; inject the linearly polarized terahertz wave perpendicular to the incident interface M into the Niel Prism.

太赫兹波作为一种电磁波,其传播规律遵从电磁波的传播规律,即垂直于两种物质的界面入射的太赫兹波,在从第一种物质(本发明中为空气)射入第二种物质(本发明中为菲涅尔棱镜)后,其传播规律保持不变。因此,线偏振的太赫兹波垂直于入射界面M射入菲涅尔棱镜后,传播方向保持不变,进而第一次到达菲涅尔棱镜与空气的界面。Terahertz wave is a kind of electromagnetic wave, and its propagation law follows the propagation law of electromagnetic wave, that is, the terahertz wave incident perpendicular to the interface of two substances, when it is injected into the second substance from the first substance (air in the present invention), (Fresnel prism in the present invention), its propagation law remains unchanged. Therefore, after the linearly polarized terahertz wave enters the Fresnel prism perpendicular to the incident interface M, the propagation direction remains unchanged, and then reaches the interface between the Fresnel prism and air for the first time.

步骤2:太赫兹波在菲涅尔棱镜内发生偶数次全反射,每次全反射的反射界面为介质与空气的界面。Step 2: The terahertz wave undergoes an even number of total reflections in the Fresnel prism, and the reflection interface of each total reflection is the interface between the medium and the air.

该步骤中的介质指的是菲涅尔棱镜的制作材料。The medium in this step refers to the material for making the Fresnel prism.

太赫兹波在步骤1中到达菲涅尔棱镜与空气的界面之后,由于上述的每条棱与每个侧面的夹角α满足因而太赫兹波会在该界面发生全反射,这是由电磁波(本发明中为太赫兹波)的传播规律所决定的。After the terahertz wave reaches the interface between the Fresnel prism and the air in step 1, since the above-mentioned angle α between each edge and each side satisfies Therefore, the total reflection of the terahertz wave will occur at the interface, which is determined by the propagation law of the electromagnetic wave (terahertz wave in the present invention).

由于本发明所提出的菲涅尔棱镜中,每条棱的长度均满足使垂直于一个侧面(如图4中的侧面M)入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次(图4实施例为2次)全反射后才从另一个侧面(如图4中的侧面N)出射的条件,因而太赫兹波在该菲涅尔棱镜中会发生偶数次全反射,每次全反射均发生在菲涅尔棱镜与空气的界面上,且均在菲涅尔棱镜内部进行。In the Fresnel prism proposed by the present invention, the length of each edge is sufficient to make the linearly polarized terahertz wave incident perpendicular to a side (such as the side M in Figure 4) generate an even number of waves in the Fresnel prism. times (the embodiment in Figure 4 is 2 times) total reflection before exiting from the other side (Side N in Figure 4), so the terahertz wave will have an even number of total reflections in the Fresnel prism, each Subtotal reflection occurs at the interface between the Fresnel prism and the air, and both occur inside the Fresnel prism.

太赫兹波包括相互垂直的两个电场分量,这两个电场分量在太赫兹波经过偶数次全反射后,所获得的附加位相总和为(π/2)的奇数倍,且该附加位相总和与频率无关,是一个常数,这意味着,线偏振的多色太赫兹波在经过偶数次全反射后,所有频率的太赫兹波所包含的两个相互垂直的电场分量所获得的附加位相总和均为(π/2)的奇数倍,因而所有频率的太赫兹波的偏振态均变为圆偏振。The terahertz wave includes two electric field components perpendicular to each other. After the terahertz wave undergoes an even number of total reflections, the sum of the additional phases obtained by the two electric field components is an odd multiple of (π/2), and the sum of the additional phases is equal to The frequency is independent and is a constant, which means that after the linearly polarized polychromatic terahertz wave undergoes an even number of total reflections, the sum of the additional phases obtained by the two mutually perpendicular electric field components contained in the terahertz wave of all frequencies is equal to is an odd multiple of (π/2), so the polarization states of terahertz waves at all frequencies become circularly polarized.

步骤3:从出射界面射出的太赫兹波即为圆偏振的太赫兹波。Step 3: The terahertz wave emitted from the exit interface is the circularly polarized terahertz wave.

线偏振的入射太赫兹波在步骤2中经过偶数次全反射之后,从菲涅尔棱镜的出射界面(如图4中的侧面N)射出的太赫兹波即为圆偏振的太赫兹波,该出射太赫兹波的圆偏振态可由现有的电光取样探测方法以及现有的太赫兹偏振片与太赫兹能量接收器相结合的方法来验证。After the linearly polarized incident terahertz wave undergoes an even number of total reflections in step 2, the terahertz wave emitted from the exit interface of the Fresnel prism (such as side N in Figure 4) is a circularly polarized terahertz wave. The circular polarization state of the outgoing terahertz wave can be verified by the existing electro-optic sampling detection method and the existing method of combining the terahertz polarizer with the terahertz energy receiver.

由此可见,本发明具有以下优点:This shows that the present invention has the following advantages:

(1)本发明中,菲涅尔棱镜的每条棱与每个侧面的夹角α满足

Figure GDA0000371977470000062
可使垂直于一个侧面入射的线偏振太赫兹波在该菲涅尔棱镜内发生全反射。每条棱的长度均满足使垂直于一个侧面入射的线偏振的太赫兹波在该菲涅尔棱镜中发生偶数次全反射后从另一个侧面出射,这样,太赫兹波所包含的两个相互垂直的电场分量在该菲涅尔棱镜内的附加位相总和为(π/2)的奇数倍,因而出射太赫兹波的偏振态即转换为圆偏振。而且,由于该附加位相总和是与频率无关的量,因此入射的所有频率的线偏振太赫兹波均同时转换成了圆偏振态,从而实现了发明目的。另外,该菲涅尔棱镜由不对太赫兹波产生色散作用的材料制成,其两侧面相对且平行,每条棱垂直于每个侧面的一条边,这保证了垂直于一个侧面入射的线偏振太赫兹波在菲涅尔棱镜内发生全反射的位置是在两个平行相对的界面上,而不会在两个相邻的界面上,因而太赫兹波的出射方向也就可以确定为垂直于另一个侧面,这有效防止了太赫兹波在出射时发生变向,使所有频率的太赫兹波所包含的两个相互垂直的电场分量在菲涅尔棱镜中发生全反射的附加位相总和完全一致。(1) In the present invention, the angle α between each edge and each side of the Fresnel prism satisfies
Figure GDA0000371977470000062
The linearly polarized terahertz wave incident perpendicular to one side can be totally reflected in the Fresnel prism. The length of each edge is such that the linearly polarized terahertz wave incident perpendicular to one side will emerge from the other side after an even number of total reflections in the Fresnel prism. In this way, the two mutual The sum of the additional phases of the vertical electric field components in the Fresnel prism is an odd multiple of (π/2), so the polarization state of the outgoing terahertz wave is converted to circular polarization. Moreover, since the sum of the additional phases is a frequency-independent quantity, the incident linearly polarized terahertz waves of all frequencies are simultaneously converted into circularly polarized states, thereby achieving the purpose of the invention. In addition, the Fresnel prism is made of a material that does not produce a dispersion effect on the terahertz wave, and its two sides are opposite and parallel, and each edge is perpendicular to one side of each side, which ensures that the linear polarization perpendicular to one side is incident The total reflection position of the terahertz wave in the Fresnel prism is on two parallel and opposite interfaces, not on two adjacent interfaces, so the outgoing direction of the terahertz wave can be determined to be perpendicular to On the other hand, this effectively prevents the terahertz wave from changing direction when it exits, so that the total reflection of the additional phase sum of the two mutually perpendicular electric field components contained in the terahertz wave of all frequencies in the Fresnel prism is exactly the same .

(2)本发明中的菲涅尔棱镜用高密聚乙烯或高阻硅制作,可防止太赫兹波发生色散,减小太赫兹波在偏振态转换过程中的损耗,提高出射太赫兹波的能量密度。(2) The Fresnel prism in the present invention is made of high-density polyethylene or high-resistance silicon, which can prevent the dispersion of terahertz waves, reduce the loss of terahertz waves in the process of polarization state conversion, and increase the energy of outgoing terahertz waves density.

(3)本发明所提供的菲涅尔棱镜中,各侧面的边长不小于入射太赫兹波的波束直径,这可以保证所有入射太赫兹波的偏振态均可被该菲涅尔棱镜同时转换,不会有能量损失,从而有效保证了出射的圆偏振太赫兹波的能量达到使用需求。(3) In the Fresnel prism provided by the present invention, the side length of each side is not less than the beam diameter of the incident terahertz wave, which can ensure that the polarization states of all incident terahertz waves can be simultaneously converted by the Fresnel prism , there will be no energy loss, thus effectively ensuring that the energy of the outgoing circularly polarized terahertz wave meets the usage requirements.

(4)本发明设置每个侧面的边长a(和b)与每条棱的长度L,使二者满足

Figure GDA0000371977470000071
的关系,这样,既实现了上述的发明目的,使出射的圆偏振太赫兹波的能量密度满足了使用需求,又节省了菲涅尔棱镜制作材料的使用,达到了节约资源、降低成本的目的。(4) The present invention sets the side length a (and b) of each side and the length L of each edge, so that the two satisfy
Figure GDA0000371977470000071
In this way, the above-mentioned purpose of the invention is achieved, the energy density of the outgoing circularly polarized terahertz wave meets the use requirements, and the use of Fresnel prism materials is saved, and the purpose of saving resources and reducing costs is achieved. .

以上所述仅为本发明的较佳实施例,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the protection of the present invention. within range.

Claims (6)

1. A Fresnel prism is characterized in that the Fresnel prism is in a strip column shape and is made of a material which does not generate dispersion effect on terahertz waves;
the Fresnel prism comprises four edges and two opposite and parallel side faces; wherein,
the two side surfaces are squares with the same side length;
each edge is perpendicular to one edge of each side surface, and the included angle alpha between each edge and each side surface meets the requirement
Figure FDA0000371977460000011
Wherein n is the refractive index of the manufacturing material of the Fresnel prism to the terahertz wave;
the length of each edge is enough to enable linearly polarized terahertz waves incident perpendicular to one side surface to be emitted from the other side surface after even-numbered total reflection in the Fresnel prism; the side length a of each side surface and the minimum length L of each edge meet
Figure FDA0000371977460000012
2. The fresnel prism according to claim 1, characterized in that it is made of high-density polyethylene or high-resistance silicon.
3. The fresnel prism according to claim 1, wherein the terahertz waves linearly polarized perpendicularly to one of the side faces are parallel beams whose beam cross section is circular;
the side length of the side face is not less than the beam diameter of the terahertz wave.
4. The Fresnel prism according to any one of claims 1 to 3, wherein the terahertz waves that are linearly polarized perpendicularly to one of the side incident surfaces are single-period pulsed terahertz waves.
5. The fresnel prism of claim 1, wherein each of the ribs has a length such that a linearly polarized terahertz wave incident perpendicularly to one of the side surfaces exits from the other side surface after undergoing 2 total reflections in the fresnel prism.
6. A method for converting the polarization state of a terahertz wave, the method being implemented based on the Fresnel prism of claim 1, the Fresnel prism beingThe strip-shaped columnar structure comprises four edges and two opposite and parallel side faces, the two side faces are squares with the same side length, each edge is perpendicular to one side of each side face, and the included angle alpha between each edge and each side face meets the requirement of meeting the requirement of the included angle alpha
Figure FDA0000371977460000013
Wherein n is the refractive index of the manufacturing material of the Fresnel prism to the terahertz wave; the side length a of each side surface and the minimum length L of each edge meet
Figure FDA0000371977460000014
The method is characterized by comprising the following steps:
step 1: taking any one side surface of the Fresnel prism as an incident interface and the other side surface of the Fresnel prism as an emergent interface; emitting linearly polarized terahertz waves perpendicular to the incident interface into the Fresnel prism;
step 2: the terahertz waves are subjected to even number of total reflections in the Fresnel prism, and the reflection interface of each total reflection is an interface of a medium and air;
and step 3: the terahertz waves emitted from the emitting interface are circularly polarized terahertz waves.
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