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Interference: Path Lengths

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...

$Interference and Diffraction$ 02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

Interference and Superposition of Waves

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...

Sound Waves: Interference

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...

Passive Filters

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff frequency...

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

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Related Experiment Video

Updated: Jun 16, 2026

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

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Drift in interference filters. Part 1.

A M Title, T P Pope, J P Andelin

|February 6, 2010

Summary

Narrow-band interference filters can drift to shorter wavelengths due to thermal or radiation history. Proper thermal cycling stabilizes Zinc Sulfide-cryolite filters for years at temperatures below 38°C.

Area of Science:

Optical Engineering
Materials Science

Background:

Narrow-band interference filters are susceptible to wavelength drift.
Two primary mechanisms cause this drift: thermal history and radiation history.

Purpose of the Study:

To investigate the thermal effects on narrow-band interference filter stability.
To determine methods for achieving long-term filter stability.

Main Methods:

Experimental analysis of thermal effects on ZnS-cryolite filters.
Implementation and testing of a specific "bake cycle" procedure.

Main Results:

Identified thermal history as a significant factor in wavelength drift.
Demonstrated that a proper bake cycle renders ZnS-cryolite filters stable for extended periods.

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Achieved stability for years when filters are stored below 38°C.

Conclusions:

Thermal management is crucial for maintaining the performance of narrow-band interference filters.
A validated bake cycle protocol can ensure the long-term stability of ZnS-cryolite filters.
ZnS-cryolite filters offer reliable performance for years under controlled thermal conditions.