(b) Write out the equations for the time dependence of ρ11, ρ22, ρ12 and ρ21 assuming that a light field interaction V = -μ12Ee iωt + c.c. couples only levels |1> and |2>, and that the excited levels exhibit spontaneous decay. (8 marks) (c) Under steady-state conditions, find the ratio of populations in states |2> and |3>. (3 marks) (d) Find the slowly varying amplitude ̃ ρ 12 of the polarization ρ12 = ̃ ρ 12e iωt . (6 marks) (e) In the limiting case that no decay is possible from intermediate level |3>, what is the ground state population ρ11(∞)? (2 marks) 2. (15 marks total) In a 2-level atom system subjected to a strong field, dressed states are created in the form |D1(n)> = sin θ |1,n> + cos θ |2,n-1> |D2(n)> = cos θ |1,n> sin θ |2,n-1>

The Quantum Theory of Light

Preface 1. Planck's radiation law and the Einstein coefficients 2. Quantum mechanics of the atom-radiation interaction 3. Classical theory of optical fluctuations and coherence 4. Quantization of the radiation field 5. Single-mode quantum optics 6. Multimode and continuous-mode quantum optics 7. Optical generation, attenuation and amplification 8. Resonance fluorescence and light scattering 9. Nonlinear quantum optics Index

The quantum theory of light.

Validating a given multimedia content is nowadays quite a hard task because of the huge amount of possible alterations that could have been operated on it. In order to face this problem, image and video experts have proposed a wide set of solutions to reconstruct the processing history of a given multimedia signal. These strategies rely on the fact that non-reversible operations applied to a signal leave some traces ("footprints") that can be identified and classified in order to reconstruct the possible alterations that have been operated on the original source. These solutions permit also to identify which source generated a specific image or video content given some device-related peculiarities. The paper aims at providing an overview of the existing video processing techniques, considering all the possible alterations that can be operated on a single signal and also the possibility of identifying the traces that could reveal important information about its origin and use.

/pdf/an-overview-on-video-forensics-20693kkcsx.pdf

An overview on video forensics

Forensic research community keeps proposing new techniques to analyze digital images and videos. However, the performance of proposed tools are usually tested on data that are far from reality in terms of resolution, source device, and processing history. Remarkably, in the latest years, portable devices became the preferred means to capture images and videos, and contents are commonly shared through social media platforms (SMPs, for example, Facebook, YouTube, etc.). These facts pose new challenges to the forensic community: for example, most modern cameras feature digital stabilization, that is proved to severely hinder the performance of video source identification technologies; moreover, the strong re-compression enforced by SMPs during upload threatens the reliability of multimedia forensic tools. On the other hand, portable devices capture both images and videos with the same sensor, opening new forensic opportunities. The goal of this paper is to propose the VISION dataset as a contribution to the development of multimedia forensics. The VISION dataset is currently composed by 34,427 images and 1914 videos, both in the native format and in their social version (Facebook, YouTube, and WhatsApp are considered), from 35 portable devices of 11 major brands. VISION can be exploited as benchmark for the exhaustive evaluation of several image and video forensic tools.

/pdf/vision-a-video-and-image-dataset-for-source-identification-21imdbvvj7.pdf

VISION: a video and image dataset for source identification

Recent research found that attacks based on morphed face images, i.e., morphing attacks, pose a severe security risk to face recognition systems. A reliable morphing attack detection from a single face image remains a research challenge since cameras and morphing techniques used by an attacker are unknown at the time of classification. These issues are commonly overseen while many researchers report encouraging detection performance for training and testing morphing attack detection schemes on images obtained from a single face database employing a single morphing algorithm. In this work, a morphing attack detection system based on the analysis of Photo Response Non-Uniformity (PRNU) is presented. More specifically, spatial and spectral features extracted from PRNU patterns across image cells are analyzed. Differences of these features for bona fide and morphed images are estimated during a threshold-selection stage using the Dresden image database which is specifically built for PRNU analysis in digital image forensics. Cross-database evaluations are then conducted employing an ICAO compliant subset of the FRGCv2 database and a Print-Scan database which is a printed and scanned version of said FRGCv2 subset. Bona fide and morphed face images are automatically generated employing four different morphing algorithms. The proposed PRNU-based morphing attack detector is shown to robustly distinguish bona fide and morphed face images achieving an average D-EER of 11.2% in the best configuration. In scenarios where image sources and morphing techniques are unknown, it is shown to significantly outperform other previously established morphing attack detectors. Finally, the limitations and potential of the approach are demonstrated on a dataset of printed and scanned bona fide and morphed face images.

/pdf/detection-of-face-morphing-attacks-based-on-prnu-analysis-2xo724xxkj.pdf

Detection of Face Morphing Attacks Based on PRNU Analysis

Source video camera identification for multiply compressed videos originating from YouTube

Each digital camera has an intrinsic fingerprint that is unique to each camera. This device fingerprint can be extracted from an image and can be compared with a reference device fingerprint to determine the device origin. The complexity of the filters proposed to accomplish this is increasing. In this note, we use a relatively simple algorithm to extract the sensor noise from images. It has the advantages of being easy to implement and parallelize, and working faster than the wavelet filter that is common for this application. In addition, we compare the performance with a simple median filter and assess whether a previously proposed fingerprint enhancement technique improves results. Experiments are performed on approximately 7500 images originating from 69 cameras, and the results are compared with this often used wavelet filter. Despite the simplicity of the proposed method, the performance exceeds the common wavelet filter and reduces the time needed for the extraction.

/pdf/using-anisotropic-diffusion-for-efficient-extraction-of-3kme84lsne.pdf

Using Anisotropic Diffusion for Efficient Extraction of Sensor Noise in Camera Identification

The Photo Response Non-Uniformity acts as a digital fingerprint that can be used to identify image sensors. This characteristic has been used in previous research to identify scanners, digital photo cameras and digital video cameras. In this paper we use a wavelet filter from Lukas et al [1] to extract the PRNU patterns from multiply compressed low resolution video files originating from webcameras after they have been uploaded to YouTube. The video files were recorded with various resolutions, and the resulting video files were encoded with different codecs. Depending on video characteristics (e.g. codec quality settings, recording resolution), it is possible to correctly identify cameras based on these videos.

/pdf/using-sensor-noise-to-identify-low-resolution-compressed-45ikj4vdwg.pdf

Using Sensor Noise to Identify Low Resolution Compressed Videos from YouTube

It is investigated how implementing the Likelihood Ratio (LR) framework works out in the case of camera identification based on image sensor specific noise patterns. Two typical case scenarios are considered, one with images of low quality, the other with images of high quality. In both cases, it is possible to obtain statistical distributions having a good fit with the reference data both for ‘matching’ and for ‘non-matching’ comparisons, and LRs are determined. It turns out that if the reference data is well separated, in the case of ‘matching’ images/cameras, the statistical fit of the distribution for ‘non-matches’ is constantly evaluated in a range where there is a lack of reference data. Because of this extrapolation issue, the LRs that emerge are not reliable. This is not a problem that is unique to camera identification: if the informative value of any forensic comparison is high the problem emerges. An alternative approach is presented which consists of choosing a threshold value separating ‘matches’ from ‘non-matches’ and 1 Corresponding author. Tel.: +31 50 587 4742; fax: +31 505875229. E-mail address: wawvanhouten@gmail.com. quantifying the strength of evidence of being larger/smaller than this value. If sample sizes of reference data increase LR results will increase as well, and it is shown that this approach is stable.

https://forensic.to/LPR-PRNU-Likelihood.pdf

Implementation of the likelihood ratio framework for camera identification based on sensor noise patterns

Digital cameras are being integrated in a large number of mobile devices. These devices may be used to record illegal activities, or the recordings themselves may be illegal. Due to the tight integration of these mobile devices with the internet, these recordings may quickly find their way to internet video-sharing sites such as YouTube. In criminal casework it is advantageous to reliably establish the source of the video. Although this was shown to be doable for relatively high quality video, it is unknown how these systems perform for low quality transcoded videos. The CAMCOM2010 contest is organized to create a benchmark for source video identification, where the videos originate from YouTube. Despite the number of participants was satisfactory initially, only two participants submitted results, mostly due to a lack of time. Judging by the performance of the contestants, this is certainly not a trivial problem.

Wiger van Houten

Papers

Source video camera identification for multiply compressed videos originating from YouTube

Using Anisotropic Diffusion for Efficient Extraction of Sensor Noise in Camera Identification

Using Sensor Noise to Identify Low Resolution Compressed Videos from YouTube

Implementation of the likelihood ratio framework for camera identification based on sensor noise patterns

Verification of video source camera competition (CAMCOM 2010)