Terahertz imaging systems are revolutionizing fields like medicine, security, and materials science. These systems use electromagnetic waves in the terahertz range to see through objects and analyze materials non-invasively. Understanding the key components and design principles is crucial for creating effective terahertz systems.
Designing terahertz systems involves balancing trade-offs between performance, cost, and practicality. Engineers must consider factors like frequency range, , and when optimizing systems for specific applications. Advanced techniques like and are pushing the boundaries of what's possible with terahertz technology.
Key components of terahertz systems
Terahertz systems consist of several essential components that work together to generate, manipulate, and detect terahertz radiation
Understanding the roles and characteristics of each component is crucial for designing effective terahertz imaging systems
Key components include terahertz sources, detectors, optics, and data processing units
Terahertz sources
Top images from around the web for Terahertz sources
Quantum cascade lasers (QCLs) in biomedical spectroscopy - Chemical Society Reviews (RSC ... View original
Is this image relevant?
Terahertz Technology: Abstract-Optomechanical response with nanometer resolution in the self ... View original
Is this image relevant?
OSA | Coherent imaging using laser feedback interferometry with pulsed-mode terahertz quantum ... View original
Is this image relevant?
Quantum cascade lasers (QCLs) in biomedical spectroscopy - Chemical Society Reviews (RSC ... View original
Is this image relevant?
Terahertz Technology: Abstract-Optomechanical response with nanometer resolution in the self ... View original
Is this image relevant?
1 of 3
Top images from around the web for Terahertz sources
Quantum cascade lasers (QCLs) in biomedical spectroscopy - Chemical Society Reviews (RSC ... View original
Is this image relevant?
Terahertz Technology: Abstract-Optomechanical response with nanometer resolution in the self ... View original
Is this image relevant?
OSA | Coherent imaging using laser feedback interferometry with pulsed-mode terahertz quantum ... View original
Is this image relevant?
Quantum cascade lasers (QCLs) in biomedical spectroscopy - Chemical Society Reviews (RSC ... View original
Is this image relevant?
Terahertz Technology: Abstract-Optomechanical response with nanometer resolution in the self ... View original
Is this image relevant?
1 of 3
Terahertz sources generate the terahertz radiation used for imaging and spectroscopy
Common types of terahertz sources include photomixers, quantum cascade lasers (QCLs), and nonlinear optical crystals
Photomixers use two laser beams with slightly different frequencies to generate terahertz waves through the photoconductive effect
QCLs are semiconductor devices that emit coherent terahertz radiation through intersubband transitions in quantum wells
Nonlinear optical crystals can generate terahertz pulses through optical rectification of ultrashort laser pulses
Terahertz detectors
Terahertz detectors convert the incident terahertz radiation into measurable electrical signals
Types of terahertz detectors include bolometers, pyroelectric detectors, and photoconductive antennas
Bolometers measure the temperature change caused by absorbed terahertz radiation and are highly sensitive but require cooling
Pyroelectric detectors use the pyroelectric effect to detect changes in the terahertz field and operate at room temperature
Photoconductive antennas use ultrashort laser pulses to sample the terahertz electric field and provide high-speed,
Terahertz optics and lenses
Terahertz optics and lenses are used to manipulate and focus the terahertz beam for imaging and spectroscopy
Materials used for terahertz optics must have low absorption and dispersion in the terahertz range (polymers, silicon)
Diffractive optical elements, such as zone plates and gratings, can be used to shape and steer the terahertz beam
Aspheric lenses and off-axis parabolic mirrors minimize aberrations and improve the focusing of terahertz radiation
Data acquisition and processing units
Data acquisition and processing units control the system, collect the detected signals, and process the data to form images or spectra
High-speed analog-to-digital converters (ADCs) are required to digitize the detected terahertz signals
Field-programmable gate arrays (FPGAs) and graphics processing units (GPUs) enable real-time data processing and image reconstruction
Specialized software is used to control the system, synchronize the components, and implement data processing algorithms
System architectures for terahertz imaging
Terahertz imaging systems can be designed using different architectures depending on the application requirements and constraints
The choice of architecture affects the system's performance, complexity, and cost
Common architectures include transmission-mode, reflection-mode, and hybrid systems
Transmission-mode systems
In , the terahertz beam passes through the sample, and the transmitted radiation is detected
Transmission-mode is suitable for thin, low-absorbing samples (paper, plastics) and provides high-contrast images
The sample is placed between the and detector, and the system measures the attenuation and phase delay caused by the sample
Transmission-mode systems require access to both sides of the sample and may have limited depth information
Reflection-mode systems
detect the terahertz radiation reflected from the sample's surface and subsurface layers
This architecture is useful for thick, opaque, or highly absorbing samples (ceramics, composites) and provides depth-resolved information
The terahertz source and detector are placed on the same side of the sample, and the system measures the amplitude and time delay of the reflected pulses
Reflection-mode systems can be more compact and flexible than transmission-mode systems but may have lower signal-to-noise ratios
Hybrid transmission-reflection systems
Hybrid systems combine transmission and reflection-mode architectures to exploit the advantages of both
These systems use separate transmission and reflection detection channels to acquire complementary information about the sample
Hybrid architectures can provide more comprehensive characterization of complex samples with both low and high-absorbing regions
The combination of transmission and reflection data can improve image quality, contrast, and depth resolution
Hybrid systems are more complex and expensive than single-mode systems but offer greater flexibility and performance
Design considerations for terahertz systems
Designing terahertz systems involves making trade-offs between various performance parameters and practical constraints
Key design considerations include the frequency range, signal-to-noise ratio, spatial resolution, and system size
Optimizing these factors based on the application requirements is essential for achieving the desired system performance
Frequency range and bandwidth
The choice of frequency range depends on the application, sample properties, and available terahertz sources and detectors
Lower frequencies (0.1-1 THz) offer better penetration depth and are suitable for thick, opaque samples
Higher frequencies (1-10 THz) provide higher spatial resolution and are useful for thin, low-absorbing samples
The bandwidth of the terahertz system determines the spectral information and depth resolution that can be obtained
Broadband systems (>1 THz) enable spectroscopic imaging and provide better depth resolution than narrowband systems
Signal-to-noise ratio optimization
Maximizing the signal-to-noise ratio (SNR) is crucial for obtaining high-quality terahertz images and spectra
SNR can be improved by increasing the terahertz power, minimizing system losses, and using sensitive detectors
Techniques such as lock-in detection, signal averaging, and noise reduction algorithms can enhance the SNR
Proper shielding and grounding of the system components can minimize electromagnetic interference and improve the SNR
Spatial resolution and depth of field
The spatial resolution of a terahertz system determines the smallest features that can be resolved in the image
Spatial resolution is limited by the wavelength of the terahertz radiation and the numerical aperture of the focusing optics
High-frequency systems and larger aperture optics provide better spatial resolution but may have a smaller depth of field
The depth of field is the range of distances over which the sample remains in focus
A larger depth of field is desirable for imaging thick samples or objects at different distances from the system
System size and portability
The size and portability of the terahertz system are important considerations for field applications and in-situ measurements
Compact and lightweight systems are easier to transport and deploy in various environments
Miniaturization of terahertz sources, detectors, and optics can reduce the system size and improve portability
Integration of system components on a single chip or module can further enhance the compactness and robustness of the system
Portable systems may have to compromise on performance parameters such as power, sensitivity, and speed compared to larger, laboratory-based systems
Terahertz system performance metrics
Evaluating the performance of terahertz systems requires quantitative metrics that characterize their capabilities and limitations
Key performance metrics include sensitivity, , imaging speed, and
These metrics provide a basis for comparing different systems and assessing their suitability for specific applications
Sensitivity and dynamic range
Sensitivity refers to the minimum detectable signal level of the terahertz system
High sensitivity is essential for detecting weak signals from low-contrast or highly absorbing samples
Sensitivity is typically expressed in terms of the noise-equivalent power (NEP) or the minimum detectable terahertz field strength
Dynamic range is the ratio between the maximum and minimum detectable signal levels
A large dynamic range enables the system to image samples with a wide range of terahertz absorption or reflection properties
Dynamic range is often limited by the saturation level of the detector and the noise floor of the system
Imaging speed and real-time capability
Imaging speed refers to the rate at which the terahertz system can acquire and process data to form images or spectra
High imaging speed is crucial for applications that require real-time monitoring or high-throughput screening
Imaging speed is determined by factors such as the terahertz source power, detector response time, and data acquisition and processing rates
Real-time imaging capability enables the system to display images or spectra continuously as the data is acquired
Real-time systems often employ parallel detection schemes, fast data acquisition hardware, and efficient image reconstruction algorithms
Spectral resolution for spectroscopic systems
Spectral resolution is a critical metric for terahertz spectroscopic systems that measure the frequency-dependent properties of samples
Spectral resolution refers to the ability of the system to distinguish between closely spaced spectral features
High spectral resolution enables the identification of specific chemical compounds or structural properties based on their terahertz absorption or emission spectra
Spectral resolution is determined by the bandwidth and frequency stability of the terahertz source, the spectral response of the detector, and the resolution of the spectral analysis technique ( spectroscopy, time-domain spectroscopy)
Improving spectral resolution often requires a trade-off with imaging speed or signal-to-noise ratio
Challenges in terahertz system design
Designing terahertz systems presents several challenges due to the unique properties of terahertz radiation and the limitations of available components
Key challenges include atmospheric absorption and scattering, material dispersion and loss, and alignment and calibration of components
Addressing these challenges is essential for developing reliable and high-performance terahertz systems
Atmospheric absorption and scattering
Terahertz radiation is strongly absorbed by water vapor and other atmospheric gases, which limits the range and sensitivity of terahertz systems in ambient conditions
Atmospheric absorption peaks at specific frequencies (1.1 THz, 1.7 THz) due to molecular resonances of water vapor
Scattering of terahertz waves by dust, aerosols, and turbulence can also degrade the signal quality and imaging resolution
Mitigation strategies include operating in dry, purged environments, using atmospheric windows with lower absorption, and applying signal processing techniques to compensate for atmospheric effects
Material dispersion and loss
Many materials exhibit significant dispersion and loss in the terahertz frequency range, which can distort the terahertz pulses and limit the penetration depth
Dispersion causes the different frequency components of the terahertz pulse to travel at different velocities, leading to pulse broadening and reduced temporal resolution
Loss due to absorption or scattering attenuates the terahertz signal and reduces the signal-to-noise ratio
Careful selection of low-dispersion, low-loss materials (polymers, ceramics) for system components and samples is essential for minimizing these effects
Dispersion compensation techniques, such as chirped pulse amplification or numerical correction, can be applied to restore the temporal resolution
Alignment and calibration of components
Precise alignment and calibration of the terahertz system components are critical for achieving optimal performance and reproducibility
Misalignment of the terahertz source, detector, or optics can result in signal loss, image distortion, and reduced resolution
Calibration of the system response, including the source power, detector sensitivity, and optical properties, is necessary for quantitative measurements and comparison between different systems
Active alignment techniques, such as beam profiling and feedback control, can help maintain the system alignment during operation
Regular calibration procedures, using reference samples or standards, should be performed to ensure the accuracy and stability of the system over time
Advanced techniques in terahertz system design
Advanced techniques in terahertz system design aim to enhance the performance, functionality, and efficiency of terahertz imaging and spectroscopy
These techniques include pulsed vs , coherent vs , beam forming and steering, and compressive sensing
Implementing these advanced techniques can enable new applications and improve the capabilities of terahertz systems
Pulsed vs continuous-wave operation
Terahertz systems can operate in either pulsed or continuous-wave (CW) mode, depending on the type of terahertz source and the application requirements
Pulsed systems use ultrashort terahertz pulses (femtoseconds to picoseconds) generated by pulsed lasers or photoconductive switches
enables time-domain spectroscopy, depth-resolved imaging, and study of ultrafast dynamics in materials
CW systems use monochromatic, narrowband terahertz sources, such as quantum cascade lasers or photomixers
CW operation allows for higher average power, better signal-to-noise ratio, and faster imaging speeds compared to pulsed systems
CW systems are suitable for applications that require high-resolution spectroscopy or real-time imaging
Coherent vs incoherent detection
Terahertz detection can be performed in either coherent or incoherent mode, depending on the detection mechanism and the system architecture
Coherent detection measures both the amplitude and phase of the terahertz electric field, enabling full characterization of the complex dielectric properties of materials
Coherent detection techniques include electro-optic sampling, photoconductive sampling, and heterodyne detection
Incoherent detection measures only the intensity (power) of the terahertz radiation, providing simpler and more cost-effective systems
Incoherent detection techniques include bolometers, pyroelectric detectors, and Golay cells
Coherent detection offers higher sensitivity and spectral resolution, while incoherent detection is suitable for applications that require only intensity information
Beam forming and steering methods
Beam forming and steering techniques are used to control the direction, shape, and focus of the terahertz beam for improved imaging performance and versatility
Mechanical scanning of the terahertz beam using galvanometric mirrors or translation stages is the most common method for beam steering
Phased array antennas can electronically steer the terahertz beam by controlling the phase and amplitude of the individual antenna elements
Metamaterial-based beam forming devices, such as holographic metasurfaces or gradient-index lenses, can shape the terahertz wavefront for focusing or beam splitting
Computational imaging techniques, such as ptychography or ghost imaging, can reconstruct high-resolution images from multiple low-resolution measurements with different illumination patterns
Compressive sensing for faster data acquisition
Compressive sensing is a signal processing technique that enables the reconstruction of sparse signals from a reduced number of measurements
In terahertz imaging, compressive sensing can significantly reduce the data acquisition time and improve the imaging speed
By exploiting the sparsity of terahertz images in a suitable domain (frequency, wavelet, or spatial), compressive sensing allows for sub-Nyquist sampling and reconstruction of the full image from a limited number of projections
Compressive sensing can be implemented using random or optimized sampling patterns, such as Gaussian, Bernoulli, or Hadamard matrices
Reconstruction algorithms, such as basis pursuit, orthogonal matching pursuit, or total variation minimization, are used to recover the full image from the compressed measurements
Compressive sensing can enable real-time terahertz imaging, reduce the system complexity, and mitigate the effects of detector noise and dead pixels
Applications-driven terahertz system design
Terahertz system design should be tailored to the specific requirements and constraints of the target application
Different applications, such as , non-destructive testing, and , have unique challenges and performance criteria
Adapting the system design to the application can optimize the performance, cost, and usability of the terahertz system
Optimizing systems for biomedical imaging
Biomedical applications of terahertz imaging include cancer diagnosis, tissue characterization, and drug delivery monitoring
Terahertz systems for biomedical imaging should be optimized for high sensitivity, spatial resolution, and tissue penetration depth
The choice of frequency range should consider the absorption and scattering properties of biological tissues, typically favoring lower frequencies (0.1-1 THz) for deeper penetration
Pulsed terahertz systems are preferred for biomedical imaging due to their ability to provide depth-resolved information and spectroscopic contrast
Integration of terahertz imaging with other modalities, such as optical or ultrasound imaging, can provide complementary information and improve diagnostic accuracy
Portable, handheld, or endoscopic terahertz systems are desirable for clinical applications and in vivo imaging
Designing systems for non-destructive testing
Non-destructive testing (NDT) applications of terahertz imaging include defect detection, quality control, and material characterization in industries such as aerospace, automotive, and electronics
Terahertz NDT systems should be designed for high penetration depth, defect sensitivity, and imaging speed
The frequency range and bandwidth should be selected based on the material properties and the size of the defects to be detected
Reflection-mode systems are commonly used for NDT applications, as they can probe subsurface features and interfaces
Polarization-sensitive terahertz imaging can enhance the contrast of anisotropic defects or stress-induced birefringence
Automated scanning systems, data analysis algorithms, and user-friendly interfaces are important for industrial NDT applications
Adapting systems for security screening applications
Terahertz imaging is used for security screening applications, such as concealed weapon detection, explosives identification, and illicit drug detection
Security screening systems should be optimized for high throughput, stand-off detection, and automatic threat recognition
The frequency range should be chosen to provide good penetration through clothing and packaging materials while maintaining high spatial resolution
Active terahertz imaging systems, using
Key Terms to Review (27)
Atmospheric attenuation: Atmospheric attenuation refers to the reduction in the intensity of electromagnetic waves as they propagate through the Earth's atmosphere. This phenomenon is crucial in terahertz imaging, as it affects the clarity and effectiveness of signals transmitted and received in various applications, particularly in system design and space-based observations. Understanding atmospheric attenuation is essential for optimizing terahertz systems to ensure accurate imaging and data collection in different environmental conditions.
Beam Steering: Beam steering refers to the technique used to direct the focus of an electromagnetic beam, such as terahertz waves, in a specific direction without physically moving the source or the receiver. This technique is essential for achieving precise imaging and signal acquisition in terahertz systems, allowing for better resolution and target detection. Effective beam steering enhances system performance by improving signal strength and reducing interference.
Biomedical imaging: Biomedical imaging is the process of visualizing the internal structures and functions of biological systems, primarily for diagnostic, therapeutic, or research purposes. This field plays a crucial role in understanding diseases, guiding medical procedures, and developing new treatments through various imaging techniques.
Coherent detection: Coherent detection is a technique used in signal processing where the phase and amplitude of a signal are measured, allowing for high sensitivity and resolution in the detection of weak signals. This method leverages the coherent properties of electromagnetic waves, which means that both the electric field and phase information are utilized to enhance the quality of the received signal. In various imaging systems, coherent detection is crucial for achieving high-contrast images, accurate spectral analysis, and improved spatial resolution.
Compressive Sensing: Compressive sensing is a signal processing technique that allows for the reconstruction of a signal from fewer measurements than traditionally required, by exploiting the signal's sparsity in some domain. This approach is particularly advantageous in terahertz imaging systems, as it enables the capture of high-resolution images with reduced data acquisition times, leading to more efficient imaging processes and reduced hardware complexity.
Continuous-wave operation: Continuous-wave operation refers to a mode of electromagnetic wave generation where a constant wave is produced without interruption. This type of operation is essential for various applications in terahertz imaging systems, allowing for improved resolution and sensitivity by providing a stable source of radiation that enhances signal quality during imaging tasks.
Dielectric materials: Dielectric materials are insulating substances that do not conduct electricity but can support an electric field, making them essential in various applications involving electromagnetic waves. Their unique properties allow them to store electrical energy, which is vital in terahertz technologies for improving signal transmission and imaging capabilities.
Dynamic Range: Dynamic range refers to the ratio between the largest and smallest values of a variable that a system can effectively process or measure. In the context of imaging and spectroscopy, it represents the system's ability to distinguish between different intensity levels, which is crucial for capturing detailed images and accurate measurements.
Fourier Transform: The Fourier Transform is a mathematical technique that transforms a time-domain signal into its frequency-domain representation, allowing for analysis of the signal's frequency components. This transformation is crucial in various fields, as it helps in understanding how different frequency components contribute to the overall signal, which is especially important in applications like signal processing and imaging systems.
Frame Rate: Frame rate is the frequency at which consecutive images, or frames, appear on a display, measured in frames per second (fps). It plays a critical role in determining the smoothness and quality of visual data captured and displayed, particularly in imaging systems. A higher frame rate results in more fluid motion, which is essential for accurately representing fast-moving objects or dynamic changes in terahertz imaging applications.
Frequency-domain terahertz imaging: Frequency-domain terahertz imaging is a technique that analyzes the spectral content of terahertz radiation to create images based on the absorption and reflection properties of materials. This method allows for the extraction of information about the sample's chemical composition and structure, making it particularly valuable in diverse applications such as system design, computed tomography, and biomedical research.
Hybrid Transmission-Reflection Systems: Hybrid transmission-reflection systems are imaging setups that utilize both transmitted and reflected terahertz signals to gather information about an object. This approach enhances imaging capabilities by combining data from different interaction modes, allowing for improved contrast and depth information in terahertz imaging applications. These systems are particularly valuable in scenarios where surface features and internal structures must be analyzed simultaneously.
Incoherent Detection: Incoherent detection is a technique used in terahertz imaging systems where the detected signal does not maintain a fixed phase relationship with the reference signal. This method allows for the measurement of intensity rather than phase, making it simpler and less sensitive to noise. In terahertz system design, incoherent detection is crucial because it enables effective imaging of materials and structures by capturing the overall energy of the terahertz waves without needing precise phase information.
Material absorption: Material absorption refers to the process by which a material takes in energy from an electromagnetic wave, such as terahertz radiation, resulting in a loss of intensity of the transmitted signal. This phenomenon is crucial in understanding how different materials interact with terahertz waves, as it influences the design of imaging systems, the interpretation of spectroscopic data, and the effectiveness of detection applications like concealed weapon detection.
Metamaterials: Metamaterials are artificially engineered materials that have unique properties not found in naturally occurring substances, particularly affecting electromagnetic waves. These materials can manipulate electromagnetic radiation, including terahertz waves, in ways that conventional materials cannot, allowing for innovative designs in imaging and sensing systems.
Nano-structured materials: Nano-structured materials are materials that have been engineered at the nanoscale, typically between 1 and 100 nanometers, to exhibit unique physical and chemical properties. These materials can offer enhanced strength, lighter weight, and improved electrical or thermal conductivity, making them particularly valuable in various advanced applications, including terahertz imaging systems.
Pulsed operation: Pulsed operation refers to a mode of operation in terahertz imaging systems where short bursts of electromagnetic radiation are emitted rather than a continuous wave. This method is crucial for improving the resolution and contrast of the images produced, allowing for better detection of materials and structures in various applications. Pulsed operation also enables time-domain analysis, which enhances the overall performance of terahertz systems by providing detailed temporal information about the interactions between the terahertz pulses and the target materials.
Reflection-mode systems: Reflection-mode systems are a type of terahertz imaging setup where the terahertz waves are directed towards a sample, and the reflected waves are analyzed to gather information about the sample's properties. These systems are particularly useful for non-destructive testing and evaluating surface characteristics of materials. By measuring the intensity and phase of the reflected waves, these systems can provide insights into various features such as thickness, composition, and structural integrity.
Security screening: Security screening refers to the process of inspecting individuals, their belongings, or environments to detect any potential threats or prohibited items. This practice is crucial in various settings, including airports and public venues, and relies heavily on advanced imaging technologies to ensure safety while minimizing inconvenience.
Semiconductor materials: Semiconductor materials are substances that have electrical conductivity between that of conductors and insulators, making them essential for electronic devices. Their ability to conduct electricity can be modified by introducing impurities, a process known as doping, which is crucial for creating components like transistors and diodes that are used in Terahertz systems. This unique property allows semiconductors to play a vital role in the development and functionality of advanced imaging systems.
Signal-to-Noise Ratio: Signal-to-noise ratio (SNR) is a measure used to quantify how much a signal has been corrupted by noise. It compares the level of the desired signal to the level of background noise, usually expressed in decibels (dB). A higher SNR indicates a clearer and more distinguishable signal, which is critical for various imaging and detection techniques.
Spatial Resolution: Spatial resolution refers to the ability of an imaging system to distinguish between two closely spaced objects, often measured in terms of the smallest feature size that can be resolved. In imaging systems, higher spatial resolution indicates clearer and more detailed images, which is critical for accurately interpreting data and identifying features in various applications.
Spectral resolution: Spectral resolution refers to the ability of a system to distinguish between different wavelengths of light, which is crucial for accurately identifying and analyzing materials. Higher spectral resolution allows for better separation of closely spaced spectral features, enhancing the detection of subtle differences in material composition. In terahertz systems, spectral resolution impacts the performance and effectiveness of imaging, spectroscopy, and various applications in diverse fields such as art conservation and material characterization.
Terahertz detector: A terahertz detector is a device designed to sense and convert terahertz radiation into measurable signals, allowing for the analysis and imaging of materials at the terahertz frequency range, typically between 0.1 and 10 THz. These detectors play a critical role in various applications, including system design, optics, spectroscopy, and near-field imaging, as they determine the efficiency and sensitivity of terahertz systems.
Terahertz Source: A terahertz source is a device or system that generates electromagnetic radiation in the terahertz frequency range, typically between 0.1 and 10 THz. These sources are crucial for terahertz imaging and spectroscopy applications, providing the necessary radiation to probe materials and obtain high-resolution images. Their design and operation significantly impact the performance of terahertz systems, influencing aspects such as resolution, sensitivity, and imaging capabilities.
Time-domain terahertz spectroscopy: Time-domain terahertz spectroscopy (TDTS) is a technique that measures the time-dependent electric field of terahertz pulses to analyze the properties of materials in the terahertz frequency range. This method allows for the examination of various physical characteristics, such as conductivity, dielectric properties, and material thickness, with high temporal resolution, making it crucial for applications in system design, imaging, and biomedical research.
Transmission-mode systems: Transmission-mode systems are setups in terahertz imaging that allow the passage of terahertz radiation through a sample, enabling imaging based on the transmitted signal. These systems provide valuable information about the internal structure and composition of materials by detecting the variations in terahertz radiation as it passes through the sample, which is crucial for applications like non-destructive testing and material characterization.