# US 10,481,468 B2 · Method to generate terahertz radiation and terahertz radiation source

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- Number: US 10,481,468 B2
- Document ID: US10481468B2
- Status: Granted
- Kind: B2
- Application number: 16/017,220
- Filed: 2018-06-25
- Published: 2018-12-27
- Granted: 2019-11-19
- Earliest claimed: 2017-06-25
- Assignees: Pécsi Tudományegyetem
- Applicants: Pécsi Tudományegyetem
- Inventors: János Hebling; Gábor Almási; László Pálfalvi; Levente Tokodi; József András Fülöp; Csaba Márió Lombosi
- Web page: https://patentgrep.com/patent/US10481468B2

## CPC

- G02F 1/3544: {Particular phase matching techniques}
- G02F 1/3534: {Three-wave interaction, e.g. sum-difference frequency generation (G02F1/3532 takes precedence)}
- G02F 1/3551: {Crystals}
- G02F 1/365: in an optical waveguide structure (G02F1/377, {G02F1/395} take precedence)
- G02F 2203/13: involving THZ radiation
- G02F: OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS

## Abstract

A pump beam (12) is subjected to pulse front tilting, and then guided through an imaging optics (30) and then coupled into the nonlinear optical medium through an entry surface of the nonlinear optical medium. THz radiation is generated in the optical medium by nonlinear optical processes, in particular by optical rectification, via the pump beam. The pulse front tilt of the pump beam required to satisfy the velocity matching condition of vp,cs cos(γ)=vTHz,f is induced as a sum of a plurality of pulse front tilts, where each pulse front tilt is induced separately as a partial pulse front tilt of the pump beam in subsequent steps. The last step of pulse front tilting of said pump beam (12) is performed by coupling the pump beam (12) into the nonlinear optical medium through a stair-step structure (40) formed in the entry surface of the nonlinear optical medium.

## Claims

### Claim 1

A method to generate terahertz radiation in a nonlinear optical medium, the method comprising:
subjecting a pump beam to pulse front tilting by inducing a tilted pulse front of the pump beam as a sum of a plurality of pulse front tilts to satisfy a matching condition of vp,cs cos(γ)=vTHz,f including inducing individual ones of the plurality of pulse front tilts separately as a partial pulse front tilt of the pump beam in subsequent steps comprising at least a first step and a second step, where vp;cs is a group velocity of the pump beam, vTHz;f is a phase velocity of the THz pulse, and γ is an angle formed between the pulse front and the phase front of said pump beam,
guiding the pump beam with tilted pulse front through imaging optics,
coupling the pump beam with the tilted pulse front into the nonlinear optical medium through an entry surface of the nonlinear optical medium,
performing a step of the subsequent steps of inducing the individual ones of the plurality of pulse front tilts by coupling the pump beam into the nonlinear optical medium through a stair-step structure formed in the entry surface of the nonlinear optical medium,
generating THz radiation using the optical medium in nonlinear optical processes as a result of the pump beam, and
passing the THz radiation through an exit surface of the nonlinear optical medium that is parallel within about two degrees to the entry surface of the nonlinear optical medium.

### Claim 2 (depends on 1)

The method according to claim 1, further comprising providing the pump beam by a laser pulse in a visible, near- or mid-infrared domain with a pulse length of at most several hundred femtoseconds.

### Claim 3 (depends on 1)

The method according to claim 1 further comprising guiding said pump beam through an optical element with angular-dispersion-inducing properties, wherein said optical element with angular-dispersion-inducing properties is chosen from a group consisting of a diffraction based optical element, a refraction based optical element, and an optical element implemented as a combination thereof.

### Claim 4 (depends on 1)

The method according to claim 1, wherein the imaging optics is chosen from a group consisting of a lens, a lens-telescope, a mirror, a mirror-telescope, and a concave mirror.

### Claim 5 (depends on 1)

The method of claim 1, the generating THz radiation comprises generating the THz radiation by optical rectification.

### Claim 6

A terahertz radiation source, comprising:
a pump source configured to emit a pump beam, and
a nonlinear optical medium configured to generate THz pulses and including a stair-step structure formed in an entry surface of the nonlinear optical medium and an exit surface that is parallel within about two degrees to the entry surface of the nonlinear optical medium, wherein the pump source and the nonlinear optical medium define together a light path, said light path being arranged so as to guide said pump beam from the pump source to the entry surface of the nonlinear optical medium,
an optical element with angular-dispersion-inducing properties, and
an imaging optics,
wherein the optical element and the imaging optics are arranged in said light path after each other in a propagation direction of the pump beam, and the stair-step structure formed in the entry surface of the nonlinear optical medium is arranged after the optical element and the imaging optics in the propagation direction of the pump beam.

### Claim 7 (depends on 6)

The terahertz radiation source according to claim 6, wherein the stair-step structure is made of a same material as the nonlinear optical medium and comprising steps arranged periodically one after the other in a first direction on a surface of the stair-step structure, each of said steps having two shorter edges and one longitudinal edge, said longitudinal edge extending perpendicularly to both of the two shorter edges.

### Claim 8 (depends on 7)

The terahertz radiation source according to claim 7, wherein limiting planes of the steps forming the stair-step structure are perpendicular to one another, said limiting planes being defined by one of the two shorter edges and the longitudinal edge, and by an other one of the two shorter edges and the longitudinal edge.

### Claim 9 (depends on 7)

The terahertz radiation source according to claim 7, wherein dimensions of the two shorter edges of the steps forming the stair-step structure are larger by at least one order of magnitude than a wavelength of the pump beam.

### Claim 10 (depends on 9)

The terahertz radiation source according to claim 9, wherein the dimensions of the two shorter edges of the steps forming the stair-step structure are larger by at most two orders of magnitude than the wavelength of the pump beam.

### Claim 11 (depends on 6)

The terahertz radiation source according to claim 6, wherein the optical element is selected from the group consisting of a diffraction based optical element, a refraction based optical element, and an optical element implemented as a combination thereof.

### Claim 12 (depends on 6)

The terahertz radiation source according to claim 6, wherein the imaging optics is selected from the group consisting of a lens, a refracting telescope, a mirror, a reflecting telescope, and concave mirrors.

### Claim 13 (depends on 6)

The terahertz radiation source according to claim 6, wherein the nonlinear optical medium comprises a material having a nonlinear optical coefficient of at least 1 pm/V, and having a ratio of refraction indices in the terahertz and the visible domains greater than 1.

### Claim 14 (depends on 6)

The terahertz radiation source according to claim 6, wherein the nonlinear optical medium is a lithium-niobate (LiNbO3) or a lithium-tantalate (LiTaO3) crystal.

### Claim 15 (depends on 6)

The terahertz radiation source according to claim 6, wherein the pump beam is provided by a laser pulse in a visible, near- or mid-infrared domain with a pulse length of at most several hundred femtoseconds.

### Claim 16 (depends on 6)

The terahertz radiation source according to claim 6, wherein the nonlinear optical medium comprises a plane-parallel structure.