I Room Acoustics
(UNDER CONSTRUCTION)
I.1 Introduction to Room Acoustics
I.1.1 Basic concepts
I.1.2 Reflection of sound
I.1.3 Room acoustic responses
I.1.3.1 Impulse response
I.1.3.2 Time-energy response
I.1.4 Wave equation
I.1.5 Air absorption
I.2 Introduction to Room Acoustic Modeling
I.2.1 Source – Medium – Receiver model
I.2.1.1 Sound Sources
I.2.1.2 Receivers
I.2.2 Room acoustic attributes
I.2.3 Auralization
II Wave-based modeling
(UNDER CONSTRUCTION)
II.1 Analytic solution of the wave equation
II.1.1 Standing waves and modes in simple geometries
II.1.2 Magnitude response in simple geometries
II.2 Finite-difference time domain methods
II.2.1 Basic derivation
II.2.2 Analysis
II.2.3 Stability
II.2.4 Dispersion
II.2.5 Sound sources
II.2.6 Different grid topologies
II.2.7 Boundary conditions
II.2.8 Higher-order approximations
II.2.9 Implicit techniques
II.2.10 Air absorption
II.3 Finite-volume time domain method
II.3.1 Fitted cells at boundaries
II.4 Pseudo-spectral methods
II.4.1 Pseudo-spectral time-domain method
II.4.2 Adaptive rectangular decomposition
II.5 Frequency-domain element methods
II.5.1 Finite element method
II.5.2 Boundary element method
III Modeling Techniques based on Geometrical Acoustics
III.1 Introduction to Geometrical Acoustics
III.2 Image source technique
III.2.1 An ideal specular reflection
III.2.2 Image-source Method in a Rectangular Room
III.2.3 Implementation of basic image-source algorithm
III.2.4 Image-source Method in an Arbitrary Geometry
III.2.5 Full image-source computation with ray-path validation
III.2.6 Brief History
III.3 Beam-tracing technique
III.3.1 Basic beam-tracing technique
III.3.2 Clipping of beams
III.3.3 Clipping of beams against room geometry
III.3.4 Full beam-tracing technique
III.3.5 Brief History
III.4 From specular reflection paths to an impulse response
III.4.1 Basic construction and distance attenuation
III.4.2 Air absorption
III.4.3 Reflections
III.4.4 Conclusion
III.5 Ray-tracing techniques
III.5.1 Reflection of rays
III.5.2 Main differences to the image source method
III.5.3 Tracing of rays
III.5.4 Registration of rays
III.5.5 Ray tracing using spatially extended volumetric rays
III.5.5.1 Cone-tracing
III.5.5.2 Pyramid tracing and frustum tracing
III.5.6 Brief History
III.6 Acoustic radiosity and radiance transfer
III.6.1 Radiosity - first phase
III.6.2 Bidirectional reflectance distribution function (BRDF)
III.6.3 Acoustic Radiance Transfer - first phase
III.6.4 Gathering of energy - second phase
III.6.5 Brief History
III.7 Room Acoustic Rendering Equation
III.7.1 Form factor
III.7.2 Bidirectional reflectance distribution function (BRDF)
III.7.3 Reflection
III.7.4 Full room acoustic rendering equation
III.8 Hybrid models
III.8.1 Multi-pass ray-tracing
III.8.2 Time-division hybrids
III.8.3 Frequency-division hybrids
IV Artificial Reverberation
(UNDER CONSTRUCTION)
IV.1 Convolutional reverberation
IV.2 Delay-network structures
IV.3 Real-time auralization
© 2016 Lauri Savioja